Calendars , Rituals , and Astral Science in India : A Case Study

This paper analyses the complex variety that characterises the Indian calendric system and its relation to culture, history, and society. The aim is to understand the role played in contemporary India by traditional knowledge of astral science. For this purpose, I shall investigate the information provided by a modern Hindi pañcāṅga. This denotes a traditional almanac that goes back to a wellestablished practice of calendar making attested in Sanskrit literature. In medieval India, the pañcāṅga forecasted celestial phenomena such as the weather and solar eclipses and was commonly used to establish the dates for religious festivals, to know auspicious moments to undertake activities such as trading, marriage, traveling, and to set up the performance of vratas (religious ceremonies) and saṃskāras (Hindu initiation rituals at important occasions of life). Different versions of pañcāṅgas are published nowadays in all the Indian regional languages and even in English by jyotiṣīs or ‘astrologers’. Since early times, festivals, rituals, and religious ceremonies have been marked in India lunar months and the passage of the seasons. The present paper shows that astrology still plays a major part in every sphere of human life and that, in the course of a month, the changing phases of the moon coincide with the ritual observance of ancient religious practices.

Astral science has played an important role in Indian society throughout history.Yet, 'despite the fact that horoscopic astrology has enjoyed more widespread and lasting acceptance within India than in any other cultural environment, and continues to do so', 1 Sanskrit texts on jyotiṣa (jyotiḥśāstra denotes the "science of heavenly bodies") have not received the attention they fully deserve from Indologists.As pointed out by Gansten, while non-scholarly publications on Hindu astrology proliferate, 'academically reliable secondary sources do not, and the same is true of text editions and translations.'2A few decades ago, the pioneering and extensive work by Pingree brought to light the importance of astrology within Sanskrit literature and Indian society.What we know today of the existing manuscripts on astronomy, mathematics, and the various branches of astrology is mainly due to the comprehensive survey carried out by Pingree, published in his Census of the Exact Sciences in Sanskrit (henceforth CESS), which he started in 1955 and left unfinished when he died in 2005.An investigation of the CESS clearly shows the large amount of works on astral science; texts on mathematics are relatively small in number compared to the bulk of texts on astrology and other sub-divisions of jyotiṣa.Following his predecessor, Neugebauer, who, in 1951, published the influential The Exact Sciences in Antiquity, Pingree has shown the Babylonian and Greek influence on the development of Indian jyotiṣa materials.Recently, in the light of new textual findings some of his assumptions have been partly challenged by a group of Japanese scholars led by Michio Yano. 3 Early jyotiṣa is concerned with the preparation of calendars to fix the date of sacrificial rituals.Since the period of the early Vedic literature, rules for various rituals and sacrifices have established fixed times for particular rites, such as at the full moon, new moon, and at the equinox.Calendric knowledge was thus of considerable importance to Vedic peoples for various kinds of rituals.The purpose of the practices that were included within jyotiṣa shifted somewhat later on.It was no longer as important to decide when the Vedic sacrifices should take place, as it was to fix the proper moments (muhūrta) for performing the saṃskāras (Hindu rituals) and to compute the almanac (pañcāṅga).The almanac indicated, amongst other things, the following: festivals; auspicious and inauspicious times; the entries of the Sun into zodiacal signs (saṅkrānti); and eclipses (grahaṇa).As a matter of fact, while early Indian astronomy is intimately linked to the need to perform the Vedic sacrifices at specific times according to the position of the sun and of the moon, after the 2 nd century CE, the goal was, more often than not, to compute with accuracy the positions of the planets for the purpose of casting horoscopes.This shift drove the later developments of the astral sciences.
It should not, therefore, be surprising that astrology, together with medicine, is the traditional science that has survived best in modern India.Jyotiṣ (the Hindi term for 'astrology' from the Sanskrit jyotiṣa) remains an essential, all-pervading, aspect of the lives of many Hindus.Even today, parents of a new baby will visit an astrologer to see how they can best guide their child in the future; the same is true for other important matters such as marriage, travelling, trading, and wealth-related issues.Some Indian Universities offer advanced degrees in so-called 'Vedic astrology', where it is thought to retain a respectful position among modern sciences.In this regard, I would like to consider the expression 'Vedic Astrology'.For some time now, Hindu astrologers have called their art 'Vedic Astrology' even though the development of Hindu astrology does not predate Alexander the Great (who invaded the North-West part of the Indian subcontinent in the 4 th century BCE, which coincides with the closing phase of the Vedic period).Even in the West, the expression 'Vedic Astrology' has become strikingly popular; various Western practitioners claim to follow astrology as explained in the Vedas.Many amateur astrologers (Hindu as well as Western) see their art gaining intellectual prestige by being associated, even only in name, with the authority of a traditional discipline practiced in an 'ancestral sacred past'.It is interesting to note that Vedic Astrology has also found very fertile ground in the growth of the New Age movements.A significant amount of books, websites, and even schools and courses throughout India and Western countries advertise the practice of 'Vedic Astrology'.
Unfortunately, much of this phenomenon involves people with little or no knowledge of Sanskrit texts on literate astrology, whose aim is often only economic advantage.One can download pañcāṅgas and pay for astrological consultations from India.There are many other ways in which Hindu astrologers and gurus sell religious experiences via the internet.
Virtual religious rituals have become a widespread phenomenon.For instance, nowadays one can buy, from anywhere in the world, the ritual offering of a pūja that will be performed by a guru in India and will mitigate the effects of bad astrological events.It is even possible to download software generating the basic information of a daily pañcāṅga for a given place; once the name of the place, the location, altitude, latitude, and the time zone are known, the software will calculate the auspicious moments of the day, the lunar constellation, the lunar day, etc.
The present paper is a study of contemporary Indian practices of astral science and calendrics.Having considered the historical context in which calendric computations were developed, I shall examine the underlying principles of Indian solar and lunar calendars in order to present an analysis of a modern Hindi pañcāṅga, which I have drawn from a Hindi astrological website.The case study selected is one of many pañcāṅgas; it has been selected for the variety of information it provides.It should be acknowledged at the outset that no two pañcāṅgas agree completely.Nevertheless, the present case study compellingly demonstrates that, in India, rituals, religious ceremonies, and daily life are still strongly dependant on astronomical events and astrological beliefs.

Early astronomy and calendric knowledge
In Sanskrit literature, works on astronomy, mathematics, and astrology were all part of the traditional and specialized branch of learning called jyotiḥśāstra. 4Jyotiṣa was one of the six Vedāṇgas, the six auxiliaries disciplines supporting Vedic rituals.The term jyotiṣa denotes a mix of astronomy, mathematics, astrology, and divination that was the chief matrix of literate mathematical and astronomical knowledge in the middle of the 1 st millennium CE. 5 The earliest known mathematical exposition of astronomy and calendric knowledge in Sanskrit is the Jyotiṣavedāṅga. 6The Jyotiṣavedāṅga has come down to us in two versions: the shorter Ṛk recension, consisting of thirty-six verses and traditionally attributed to Lagadha, and the Yajurjyotiṣavedāṅga, which seems to expand and modify it.According to Pingree,7 'the astronomy of the Rk-recension [which is the earliest] was formulated in the fifth or fourth century B.C. on the basis of information about originally-Mesopotamian methods and parameters transmitted to India during the Achaemenid occupation of the Indus Valley between ca.513 and 326 B.C.' 8 In the Jyotiṣavedāṅga, some verses clearly reflect the relation between ritual, calendric utterances, and mathematical astronomy in the context of the Vedic sacrifice. 9The calendric techniques found in this text represent a synthesis of rules and computations from Greco-Babylonian sources.It mentions measures and rules for calendric computations using a year length of 366 days: a day comprises thirty of the units called muhūrtas (equal to forty-eight of our minutes) or sixty ghaṭikās (a ghaṭikā is half of a muhūrta); the yuga is a five-year intercalation cycle containing two intercalary months; the 5 A thorough history of jyotiḥśāstra literature is found in David Pingree, Jyotiḥśāstra: astral and mathematical   literature (Wiesbaden: Harrassowitz, 1981). 6Among scholars, the date and authorship of this text has long been a controversial issue.tithi or 'lunar day' and the sequence of the 27 nakṣatras or 'lunar constellations' (here each associated with a presiding deity) seem to be fully integrated into lunisolar calendric astronomy. 10 order to understand the relationship between astronomy and ritual that, even today, is pervasive in traditional almanacs, it must be remembered that Vedic texts prescribe the performance of periodic sacrifices at particular times, such as the new and full moon, solstices, and equinoxes. 11Plofker points out that Vedic calendric concepts are ' […]   obscured by the brevity of the allusions to them and by the apparent inconsistencies among some of them.Moreover, it is often difficult to tell when a scriptural statement is intended to convey specifically astronomical information and when it should be interpreted otherwise.' 12 Yet, 'by the Middle Vedic period at the latest, attempts were being made to regulate a basic lunisolar calendar arithmetically.'For instance, it is in the Yajurveda (Taittirīyasaṃhitā 4.4.10.1-3) and in the Atharvaveda (19.7.2-5) that the first references 13 to the twenty-seven lunar constellations are found. 14According to the nakṣatra occupied by the moon and observing the position of the sun and moon with respect to the stars, the sacrificial priests were able to identify and record the time in the calendar to 10 During the later Vedic period, the meaning of the term nakṣatra shifted from its original meaning of 'star' to one of the 27 groups of stars regarded as the 'lunar constellations' along the ecliptic. 12Kim Plofker, Mathematics in India (Princeton, N.Y; Oxford: Princeton University Press, 2009), 20-30. 13See Arthur Anthony Macdonell and Arthur Berriedale Keith, Vedic index of names and subjects, vol.1, (London:   1912), 409-431. 14The first mentions 28 nakṣatras, and the latter 27.On the two systems of nakṣatras, see Michio Yano,   "Calendar, Astrology and Astronomy," in The Blackwell Companion to Hinduism, ed.Gavin Flood (London: Blackwell,   2003) 378-379.perform the ritual. 15Vedic literature contains no explicit listing of the five planets by name; in Sanskrit texts explicit references to planets are attested only after the Greek settlement in Bactria (3 rd century BCE). 16In this regard, the Yavanajātaka,17 which dates to the early centuries CE, is considered the first astrological treatise in the Sanskrit language and the first evidence of the introduction of Greek astrology to India. 18The Yavanajātaka presents an Indianised version of traditional Greek astrology and includes the first known appearance in India of the twelve signs of the Greco-Babylonian zodiac. 19 the middle of the first millennium CE, the composition of Sanskrit works on astrology had greatly developed.However, in India the elaboration of complex methods for computing tables in order to generate yearly calendars and predictions of planetary positions at desired times goes back to the early pre-modern period, though some of the traditional techniques employed rely on Medieval Sanskrit siddhāntas. 20econsidered in the light of some newly discovered materials,' History of Science in South Asia, 1 (2013): 1-20.some newly discovered materials," History of Science in South Asia, 1 (2013): 1-20.https://doi.org/10.18732/H2RP4T 19A history of the development in India of astrology from early times to the modern day is found in Martin Gansten, 'Astrology and Astronomy (Jyotiṣa),' in Brill's Encyclopedia of Hinduism, vol. 2, Sacred Texts, Ritual Traditions, Arts, Concepts, ed. Knut A. Jacobsen, (Leiden, The Netherlands, and Boston: Brill, 2010), 281-294. 20 The medieval siddhānta genre was developed by astronomers starting in about the 5 th century CE.For a detailed account on the evolution of the siddhānta genre and astronomical schools in India see: Plofker, Mathematics in India, 66-104 and Clemency Montelle, Chasing Shadows: Mathematics, Astronomy, and the Early History of Eclipse Reckoning (Baltimore: The John Hopkins University Press, 2011), 156-284.Given this background, it may not be surprising that around the middle of the second millennium CE the ultimate goal of Indian practical astronomical computation was linked to the production of the annual pañcāṅga. 21Between the late 15 th and 18 th centuries, dozens of Sanskrit table-texts called koṣṭhakas and the earlier concise astronomical manuals called karaṇas were produced by astronomers.In 1520, Gaṇeśadaivajña composed a karaṇa called Grahalāghava, 22 which founded a new pakṣa or 'astronomical school' due to its introduction of a new set of computational parameters.This text, together with the Tithicintāmaṅi, 23 which is written by the same author and is probably the most famous koṣṭhaka, enabled jyotiṣa specialists to compute all the data necessary for the elaborate Indian calendar, the pañcāṅga.
In 1896, the British administrator Sewell, who was working in the civil service of the Madras Presidency, published The Indian Calendar, one of the earliest systematized Western works on that subject.Besides containing a full explanation of the Indian chronological system, thanks to the help provided by the Indian scholar Dikshit, who worked on the publication with Sewell, the volume gives interesting information on Sanskrit texts used as references for preparing pañcāṅgas in each region of 19 th century India. 24e development of astronomy in India is described in D.M. Bose, S.N.Sen, and B.V. Subbarayappa eds., A Concise History of Science in India (New Delhi: Indian National Science Academy, Second Revised Edition, 2009), 65-172. 21A picture of an ancient pañcāṅga is found in Kane's History of Dharmaśāstra, V, 1, 667.
22 Sanskrit text in Kapilasvara Sastri, ed., Grahalāghavam (Benares: Kāśī Saṃskṛta granthamālā, 1946 It seems that for the yearly calendar the Grahalāghava and the Tithicintāmaṇi were used wherever the Marathi language was spoken, as well as in some parts of Gujarat, in Benares, and in the Kanarese Districts of the Bombay and Madras Presidencies.He also adds that the Āryabhaṭīya, 25 the Sanskrit astronomical work written around 500 CE by Āryabhaṭa, was an authority in the Tamil and Malayalam countries of Southern India, while the Brāhmapakṣa, the astronomical school going back to the Brāhmasphuṭasiddhānta, which was written in 628 by the mathematician-astronomer Brahmagupta, was popular in Gujarat and in western parts of Northern India.Another important point made by Sewell is that in many areas throughout the sub-continent, the Sūryasiddhānta had been for centuries the standard text. 26Therefore, since early times, astronomical schools following different parameters and time divisions had been variously popular in different areas. 25This work is also known as Āryasiddhānta.Āryabhaṭa occupies a special place in the history of Indian astronomy and mathematics.He is the first mathematician-astronomer of the classical age (400-1200 CE) of Indian mathematics and the patterns set by him were emulated by the following generations of practitioners.
For the Sanskrit text with the commentary by the astronomer-mathematician Parameśvara (15 th c.CE), see H.This historical overview has sought to delineate the milieu in which early astronomical computations were developed in India.We will turn now to a detailed exposition of the principles of Indian solar and lunisolar calendars.

Solar Calendars
The basis of all solar calendars is the solar year, which represents the return of the sun to the same reference point in its apparent path in the sky.This reference point may be chosen in two different ways and this is what distinguishes the sidereal from the tropical systems, which will be explained in the subsequent paragraphs.On the other hand, the time period of the successive return of the moon in conjunction or opposition to the sun in relation to the earth, which is the time period from new moon to new moon or full moon to full moon, is the measure of the lunar month, and twelve such months form the lunar year.
The fact that the lunar year is shorter than the solar year by about eleven days means that the Indian lunar calendar is kept adjusted to the solar calendar and therefore to the seasons by the addition of an intercalary month at suitable intervals.Such a calendar is called a 'lunisolar calendar'.The Indian calendar system comprises of both solar and lunisolar calendars.
In the Indian case, however, this simple division does not take into account all the heterogeneous elements found in each region's calendric practices.Though apparently the more obvious way to classify Indian calendars is by the region of usage, the truth is that the tremendous socio-cultural variety of the Indian subcontinent is reflected in the calendar system.The result is a complex combination of different traditions.Now, a reasonable way to deal with this complexity is, as suggested by Regulagedda, to take into account the following components: a) the basis of the calendar; b) regional variation; c) the time at which the new saṃvatsara or 'year' begins;27 and d) the era followed. 28I have mentioned that the reference point to which the sun returns every year, as a consequence of its apparent annual path across the celestial sphere, which is called the 'ecliptic', can be determined in two different ways, leading to two different notions of the length of the year: a) according to the nirayana or sidereal system, followed by the traditional Indian system, a year is the time taken for the Sun to return to the same position with respect to the fixed stars;29 b) according to the sāyana or tropical system, the length of a year is equal to the time interval between vernal equinoxes or between summer solstices.
Sidereal and tropical are the terms also used to describe two different systems of ecliptic coordinates used in astrology.Basically, both divide the ecliptic into the zodiac,30 which is a celestial coordinate system constituted by a circle of twelve 30° divisions of longitude commonly known as 'signs' and named after the twelve constellations to which however these signs do not exactly correspond, as the divisions correspond to equal arcs of 30° each.However, while the sidereal system defines a zodiac sign based on the fixed stars, the tropical system defines the same sign based on the position of the vernal equinox.
The sidereal system is used in Hindu astrology (and in some 20 th century systems of Western astrology), while the tropical system was adopted during the Hellenistic period and remains prevalent in Western astrology.The traditional Indian solar calendar, based on the nirayana system, follows the calendric principles laid down in Sūryasiddhānta.The nirayana year comprises of twelve solar months and these are directly linked to the twelve respective rāśis or 'zodiac signs'.The Sūryasiddhānta in fact defines a solar month as the time taken by the Sun to traverse a zodiacal sign, which is thus the difference between one saṅkrānti or 'passage' of the Sun into one zodiacal sign and the next one.Only solar months share their names with that of each of the corresponding saṅkrāntis.For instance, if the meṣasaṅkrānti ('the passage into Aries') occurs on a certain day, then the period until the next saṅkrānti will be the meṣamāsa or the 'month of Aries'. 31Table 1 below gives the names of the zodiac signs/solar months and those of the corresponding lunar months: 32 31 In regions following the solar calendar, the names by which solar months are known, though linked to the names of the zodiac signs, vary according to different languages.Another point to emphasize is that the dates of the beginning and the end of each month vary from region to region.This is because a saṅkrānti may take place at any time of day or night and that in the traditional calendar pañcāṅga the solar day starts with sunrise, depending on the time of the saṅkrānti, the convention followed to determine the starting day for the month varies from place to place.Due to these regional variations, sometimes the same month has a different number of days in different regions.Also, the same month in the same region may have a different number of days in different years.There are four main conventions for four different regions according to which the month may commence either on the same day as the saṅkrānti or on the next day or on the day following it: 1.In Orissa and Punjab, where solar calendars are used, the solar month begins on the same day as when the sun enters the concerned zodiac sign.
2. According to a system followed in Tamil Nadu, if the saṅkrānti takes place before sunset, the month begins on the same day.If it takes place after sunset, the month begins on the next day; 3.In the Malayali convention, which is generally followed in Kerala, the month begins on the same day so long as the saṅkrānti happens before aparāhṇa, i.e. before 3/5 th of the time from sunrise to sunset has passed.Otherwise, it begins the next day; 4. In Bengal and Assam, if a saṅkrānti takes place between sunrise and the following Midnight, the solar month begins on the next day, but, if it begins after midnight, the month begins on the day following it.
A further interesting point, which will be taken up again below, is the link between calendric events and rituals.Curiously, while in Assam, Bengal, Tamil Nadu, Kerala, Orissa, Punjab, and Haryana the sidereal solar calendar is usually followed, in all these states, for fixing the dates for religious practices and festivals and for deciding the muhūrtas or auspicious moments to undertake important activities, 33 the lunar calendar is followed.
Beyond the differences in the way the beginning of the month is calculated and the time the beginning of the year falls, 34 the Indian solar calendars of these regions differ also in the 33 In early literature, the term muhūrta had two meanings: "short time" and "a period of two ghaṭikās" (thus equal to 48 minutes).Sometime later, as particular muhūrtas of the day came to be considered auspicious, a third meaning came to be attached to it.Thus, by the period of early medieval literature, muhūrta denoted an "auspicious time" for undertaking all kinds of important activities. 34For instance, in Assam, West Bengal, Orissa, and Tamil Nadu the year starts in Mid-April with the meṣasaṅkrānti (Sun-crossing into sidereal Aries), while in Kerala the year starts on siṃhasaṅkrānti (Suncrossing into sidereal Leo).era followed. 35Among the various eras used throughout the Indian subcontinent, 36 the most common are: the Kali era, starting on 3102 BCE; the Vikrama era, starting on 57 BCE; the Bengali San era, starting on 593-4 CE; the Śaka era, 37 starting on 78 CE; the Kollam era, starting 824 CE.
In 1957, the attempt to unify the variety of the Indian calendric systems resulted in the promulgation of a National Calendar.This is the official civil calendar in use; it follows the tropical system and the Śaka era. 38This calendar did not become popular because the use of tropical year is very much against the Indian tradition of sidereal calendar.In fact, despite this effort, local variations based on older sources, such as the Sūryasiddhānta, still exist.

Lunisolar Calendars
A lunisolar calendar follows a system based on both solar and lunar cycles. 39It tries to achieve the following: in the case of the tropical solar year, it combines the phases of the 35 Often, one official era is used in addition to local eras.For a general concordance of each Indian state calendar, the era followed, and the starting time of the New Year, see Regulagedda, "Panchanga-Tantra," 9-11. 36In this regard, see Sewell and Dikshit, The Indian Calendar. 37The Śaka era has been one of the most extensively used throughout India.In the karaṇas, it is used almost exclusively.
moon and the seasons, as for instance in the Chinese and Hebrew lunisolar calendars; if the year is taken as the solar sidereal year, the calendar also gives an idea of the position of the full moon among the constellations (as for instance in the Buddhist and Hindu lunisolar calendars).
The basic period of the Indian lunisolar calendar is the lunar month, which is defined as the time interval between two successive pūrṇimās or 'full moons' or the time between two amāvāsyās or 'new moons'.Its length is of approximately 29.530589 days.Twelve such lunar months make a lunar year of 354.530589 days.As previously mentioned, this falls short of a tropical year by about eleven days and, in order to keep a constant relation with the seasons, many systems for keeping the lunar year 'in sync' were developed.Indian astronomers devised a method using the true positions of the sun and moon to add intercalary months to the lunar year at intervals.If two new moons occur within one solar month, two lunar months then occur with the same name based on the solar month.The first lunar month of the two is considered as an intercalary month and it is called adhika. 40e second one starting from the next new moon is considered to be the normal month and is called śuddha.Regulagedda tells us that in any given lunar year, if two consecutive saṅkrāntis occur between two consecutive new moons then the lunar month, whether calculated from full moon to full moon or from new moon to new moon, and having the same name as the solar month in which this occurs, is dropped. 41basic feature that influences the classification of the three Indian lunisolar calendars mentioned concerns the two systems according to which months are connected to the cycle of the moon: 1) the amānta month is the time occurring from one new moon to the next one; 2) the pūrṇimānta month is the time occurring from a full moon to the next one. 40Sanskrit texts mention acts to be avoided in intercalary months.See Kane, History of Dharmaśāstra, V, 1, 673.
The amānta calendar, based on the amānta month, is distinguished in: i) Southern; and ii) Western amānta calendars.In the first, followed mainly in South and South-West Indian states, the tithi or 'lunar day' of the new moon is considered the last day of the previous month and the intercalary month is added every 2.7 years to compensate for the difference with the solar sidereal year.The Southern amānta calendar differs from the Western amānta Calendar in its treatment of the intercalary months, the New Year Day, and the Era followed.It follows the Śaka era starting in Caitraśuklapratipadā, which denotes the first day during the waxing phase of the moon in the Caitra month (April-May), as well as the lunar day after the last new moon before meṣasaṅkrānti (the entry of the Sun into Aries). 42The months of the amānta lunar calendar are named after the solar months in which the new moon of the lunar month occurs, while the years are named according to the names of the Jovian years.
It must be noted that, in Gujarat and parts of Rajasthan, the lunar year starts on Kārttika month (November-December of the Gregorian calendar) with śuklapakṣapratipadā,43 which is the first day during the bright fortnight.In the districts of Kutch and parts of Kathiawar, the lunar year starts on Āṣāḍha month (July-August) with śuklapratipadā.
On the other hand, the pūrṇimānta calendar is most popular in North India.In contrast to amānta calendars, the lunar month is reckoned from full moon to full moon and it follows the Vikrama era.The lunar year begins on the day after the last full moon day before the meṣa saṅkrānti.However, though in a pūrṇimānta calendar lunar months start with the kṛṣṇapakṣa or 'dark half'.This means that a pūrṇimānta month starts a fortnight earlier than the amānta month of the same name.Consequently, the year starts in the middle of the 42 Traditionally, in India the day when the Sun enters the first sign of the zodiac (Aries) is considered spiritually and astrologically very powerful and celebrated with great respect by offering prayers to the Gods.
Caitra month with the śuklapakṣa or 'bright half'.In fact, the 'dark half' of the Caitra month belongs to the previous year.
Before introducing the Indian traditional almanac called pañcāṅga, two characteristics of Indian lunisolar calendars must be explained: i) the set of months named after the ancient system of nakṣatras or 'lunar constellations'; and ii) the division of the lunar month.The system of the lunar constellations derives from the fact that the passage of the moon around the ecliptic is divided into twenty-seven parts, which are each known as nakṣatra.In their work on Indian calendars, Chakravarty and Chatterjee point out that each nakṣatra division is named after a selected star known as yogatārā and that the initial points of nakṣatra divisions have changed from time to time, with few corrections recorded in Sanskrit astronomical texts. 44Each nakṣatra denotes a twenty-seventh part of a sidereal month and the time required for the moon to traverse an interval equal to 13°20ˈ.By the period of the Jyotiṣavedaṅga, nakṣatras were associated with a presiding deity and, sometime later, they were also subdivided, along with the lunar days, into 'auspicious' and 'inauspicious' times.In addition, each nakṣatra is divided into padas or 'quarters' associated with particular syllables.It is the custom even now in India to name a baby according to the nakṣatra the moon occupied at the moment of its birth.
The extensive Sanskrit literature 45 on muhūrta, 46 which defines a branch of Indian astrology corresponding to Hellenistic cathartic astrology, consider the time when the Moon, conjoining with a particular nakṣatra, is considered propitious or unpropitious for 44 A.K. Cakravarty and S.K. Chatterjee, 'Indian Calendar from Post-Vedic to AD 1900,' in the History of Astronomy in India, ed.K.S.Shukla (New Delhi: Indian National Science Academy,1985), 274. 45A list of works on muhūrta is found in Kane, History of Dharmaśāstra, V, 1, 556-557 and under author's names in David Pingree Census of the Exact Sciences in Sanskrit (CESS), 5 vols (American Philosophical Society, 1970-1995).Muhūrtas in relation to religious rites are investigated in Kane, History of Dharmaśāstra, V, 1, 604-640.performing certain acts. 47In Indian treatises on cathartic astrology, great importance was given to deciding the time for performing ritual acts and this aspect has strongly influenced the Sanskrit literature on legal and religious duties.Though the nakṣatras played a central role before the introduction of horoscopic astrology from the West, they have retained their importance throughout the historical development of Indian astrology. 48ile solar months named after the rāśisaṅkrānti or the 'entry of the Sun into a zodiac sign' have been previously mentioned as found only in solar calendars, the set of months named after nakṣatras is found in both solar and lunisolar calendars, which of course contributes to the complexity of the Indian calendar system.Table 2 shows the relation between the name of each nakṣatra, the month named after that nakṣatra, and the presiding ruler from the Indian pantheon assigned to it in early times: 49 47 Within Sanskrit astral literature, prior to the development of the separate branch on muhūrta, and comprehending a massive number of texts, as, for instance, the Gargasaṃhitā (later Vedic time), which prescribes actions to be undertaken when the moon is in each nakṣatra, tithi and karaṇa (the latter denotes a unit of time corresponding to half-tithi, thus half of a lunar day).The Śārdūlakarṇāvadāna, the Yavanajātaka, and the Bṛhatsaṃhitā (Sanskrit texts of earlier centuries CE) contain a systematic treatment of units of time that are auspicious for certain acts, such as the building of temples, travelling and marriage, undertaking war, pregnancy, and activities related to sowing and harvesting.The most ancient Sanskrit text fully dedicated to the science of muhūrta is the Ratnakośa, probably composed by the astronomer Lalla in the 8 th C. CE.On time, muhūrta, astrology in dharmaśāstra and calendars see Kane, History of Dharmaśāstra, V, 1, 463, ff. 48Interesting early references on the effect of nakṣatras and zodiacal signs on human destiny are found in Varāhamihira's Bṛhatsaṃhitā and Bṛtajjātaka.See the Sanskrit text with Bhaṭṭotpala's commentary in Avadhavihārī Tripāṭhī, ed., Bṛhatsaṃhitā.Śrīvarāhamihirācāryaviracitā.Bhaṭṭotpalavivṛtisahitā. Sampādakaḥ Avadhavihārī Tripāṭhī (Sarasvatībhavanagranthamālā 97, Vārāṇasyām: 1968).For an English translation of the text, see V. Subrahmanya and M. Ramakrishna Bhat, Brihat samhita = Bṛhatsaṃhitā, with an English translation and notes (Bangalore City: printed by V. B. Soobbiah, 1947).Bṛhajjātakam.

Śrīvarāhamihirācāryaviracitaṃ;
udāharaṇopapattisahita "Vimalā" Hindīṭīkopetam, ṭīkākāraḥ, Śrīmadacyutānandajhā (Banārasa: Caukhambā Saṃskr̥ ta Sīrija, Āphisa, 1957).Another division of time related to lunisolar calendars is the aforementioned division of the lunar month into two pakṣas or 'fortnights', namely the kṛṣṇapakṣa or 'dark fortnight', which denotes the period of the waning moon, and the śuklapakṣa or 'bright fortnight, which denotes the period of the waxing moon.There are thirty tithis or 'lunar days' in a lunar month, each fortnight having hence fifteen tithis.As in amānta lunisolar calendars, the lunar month starts and ends with a new moon, the first half of a lunar month is the waxing moon (śuklapakṣa).On the other hand, in pūrṇimānta lunisolar calendars the lunar month starts and ends with a full moon.Therefore, the first half of a lunar month is the waning moon (kṛṣṇapakṣa).Table 3 lists  The Sanskrit term pañcāṅga means 'five-limbed' and it denotes the five units of time that characterize this almanac and that contribute to determining the muhūrtas: the tithi or 'lunar day' is the time taken for the longitudinal angle between the moon and the sun to increase by 12 °.It is slightly shorter than a day and it corresponds approximately to one-thirtieth of a synodic (lunar) month; the vāra or 'weekday' is measured usually from sunrise to sunrise.Since the tithi and the vāra are of different and of varying lengths, a particular tithi in a given month usually contains one vāra-beginning, but sometimes two, or none; 51 the nakṣatra or 'lunar constellation' is approximately one-seventieth of a sidereal month; 52 50 Manuscripts of Sanskrit pañcāṅgas are listed in Pingree's Census (1970-1995), as well as in his Catalogue of Jyotiṣa manuscripts in the Wellcome Library: Sanskrit Astral and Mathematical Literature (Leiden: Brill, 2004).
51 Following Hellenistic sources, in India, the weekdays are named after the planets: Ravivāra or lit.'the day of the Sun' (Sunday), Somavāra or 'the day of the Moon' (Monday); Maṅgalavāra or 'the day of Mars' (Tuesday); Budhavāra or 'the day of Mercury' (Wednesday); Guruvāra or 'the day of Jupiter' (Thursday)'; Śukravāra or 'the day of Venus' (Friday); Śānivāra or 'the day of Saturn' (Saturday).
the karaṇa, denoting half of a tithi , 53 is the time required for the angular distance between the sun and the moon to increase by 6° ; the yoga 54 represents a time interval in which the sum of the eastward motions of the sun and moon amount to an increment of one nakṣatra length or 13° 20ˈ .
A typical pañcāṅga covers the year according to the era of the region in which it is published.The basic information is similar, but regional variations deeply influence the final shape of each almanac, as well as the fact that it contains tabulations of positions of Sun, Moon, and other planets for every day of the year at a fixed place and time.

The Analysis of a modern Hindi pañcāṅga: a Case Study
Though the Indian calendar system has been studied by scholars in considerable detail, no one has so far presented an analysis of a modern pañcāṅga. 55In the section that follows, I investigate relevant parts of the first page, which represents a calendar month, of a Hindi 52 The number of nakṣatras reflects the number of days in a sidereal month (approximately 27.32 days).A nakṣatra can be also defined as one of the 27 sectors along the ecliptic.
53 Since 1 karaṇa= 2 tithis and since there are 30 tithis in a lunar month, one would expect the karaṇas to be 60, which they are not.Chakravarty and Chatterjee explain how the system of karaṇas works.They also add that this item, which was most likely introduced later, seems not to have any special reference for the tithi, which is really the basic element.Chakravarty and Chatterjee,'Indian Calendar',276. 54 According to Chakravarty and Chatterjee, yoga was introduced later as an item of the pañcāṅga and exclusively for astrological purposes.In fact, it is not found in the calculations of early astronomers such as Āryabhaṭa (5 th century CE), Varāhamihira (6 th century CE), and Brahmagupta (7 th century CE).
In the top left, a colourful image shows the Hindu god Kṛṣṇa playing the flute alongside a female partner.In the central position, still at the top, the name of the jyotiṣī or 'astrologer' and publisher of the almanac stands above the expression kāldarśak pañcāng (kāldarśak means 'calendar'), while his picture is found on the right.Below it, one finds the words: Vikram Saṁvat 2070, Janvarī 2014, and Śak Saṁvat 1935.These give the current year according to the Vikrama era, the Gregorian calendar, and the Śaka era respectively.I have already mentioned that the Vikrama is followed in North India and in lunisolar pūrṇimānta calendars, while the Śaka era is followed by the official civil Indian calendar.A column on the left lists the vāras or 'weekdays'.On the right next to it, under the title vrat evaṁ tyauhār, a small box presents a collection of writings in twenty-four lines.This is a list of religious practices (vrat) and festivals (tyauhār) of the calendric month of January (in Hindi Janvarī).Below, taking up the main part of the page, there are thirty-one boxes each corresponding to one weekday of the month.Among these, the following have been selected for an analysis: 56 Currently (June 2014), the page here analysed can be found at the web address http://hindupad.com/shribrajraj-kaldarshak-panchang-2014/.The almanac is published by Shri Brajraj.Therefore, according to the time zone of this pañcāṅga, January 1 st of the Gregorian year 2014 is a new moon day.From this information, we can already infer that this is not a solar calendar but a lunisolar calendar.On the very top left, written in light blue, one reads pauṣ kṛ., which is an abbreviation for pauṣ kṛṣṇ. 57From tables 1 and 3 above, one can see that Pauṣ is the name of a lunar month of the Indian calendar that falls approximately in the Gregorian month of January, though its dates vary from region to region. 58In the expression pauṣ kṛ, the formula kṛ, which is an abbreviation of kṛṣṇ, denotes in which phase of the lunar month the 1 st day of the solar month of January is.As table 3 shows, kṛṣṇ pakṣ is the dark fortnight of a lunar month. 59At this point, one may ask: how can one understand if 57 Pauṣa kṛṣṇ corresponds to the Sanskrit pauṣa kṛṣṇa. 58In North India, Pauṣ 2014 begins on December 18 th of the Gregorian year 2013 and ends on January 16 th of the Gregorian year 2014.
this pañcāṅga is a lunisolar amānta or pūrnimānta calendar?Looking carefully inside each box of the thirty-one days of January and comparing the data, the following is apparent:60 -January 1 st is under pauṣ kṛ. ; on the 2 nd , there is a change, as we get the writing pauṣ śu.(standing for pauṣa śukla), which we find in each box of the next days until the 16 th ; on the 17 th there is a change again, as one reads māgh kṛ,61 found in each box of the next days until the 30 th ; on the 31 st another change occurs, as one reads māgh śu.
Clearly, on the very top left, the writing in light blue tells us the course of the lunar months on this page of the almanac, which is the solar month of January.Thus we observe the change between pauṣ kṛ. and pauṣ śu.from January 1 st to 2 nd and, because January 2 nd is the day after amāvasyā or 'new moon', we understand that January 1 st is the last day of the kṛṣṇ pakṣ or 'dark fortnight' of the month Pauṣ, while January 2 nd is the first day of the śukl pakṣ or 'light fortnight' of the month Pauṣ. 62From this, one can conclude that the other part of the kṛṣṇ pakṣ of the lunar month Pauṣ falls in the last part of the solar month of December of the Gregorian year 2013.Consequently, we can infer that this is a pūrṇimānta lunisolar calendar, since, in this kind of calendar, the period of the waxing moon (which corresponds to the fortnight called kṛṣṇ pakṣ) is the first half of a lunar month, while in an amānta calendar it is the period of the waning moon (corresponding to the bright fortnight or śukl pakṣ).In fact, an additional proof is the writing we find on January 17 th , where māgh kṛ occurs.We also find on the box of the 16 th that there is a white moon accompanied by the term pūrṇimā or 'full moon' written in dark blue, and, in light blue, the abbreviation pauṣ śu.
the second half (the śukl pakṣ) of the month Māgh starting on the 31 st , which will obviously continue on the first half of the following solar month of February.
At the top right of each box here presented (as well as on the remaining boxes of the days of this solar month January, which are not shown here), one can see the following terms: mūla, mṛgaśira, punarvasu, puṣya, maghā, uttarāṣāḍā, and śravaṇa respectively.These are the names of the nakṣatras, of which a list is found in table 2. This pañcāṅga therefore informs us that the nakṣatra of the 1 st solar day of the solar month January is mūla, on the 14 th the nakṣatra is mṛgaśira, etc.On the top of each box, the writing in dark blue reads: amāvasyā, caturdaśī, pūrṇimā, pratipadā, tṛtīyā, amāvasyā, and pratipadā respectively.These are the names of the tithis, which are found in table 3.So far, we have seen e.g. in a pūrṇimānta lunisolar calendar that the 1 st solar day of the solar month January of the Gregorian year 2014 corresponds to the tithi called amāvasyā of the kṛṣṇ pakṣ of the lunar month Pauṣ of the Vikram era 2070 and of the Śak era 1935.The nakṣatra of that day is mūla.Also, this tithi is the last lunar day of the first half of the lunar month Pauṣ.
In each box, on the very top right and on the very bottom right, one finds two abbreviations followed by numbers.For instance, on the very top of January 1 st , we read the expressions 'bhā.11' in black and, on the very bottom, 'gate.17' in green.These writings were initially obscure; no external references have ever mentioned them to my knowledge.
Expressions of this type give, in fact, data only included in modern pañcāṇgas.A thorough comparative analysis of the data provided in all the boxes of the solar days of this page of January has helped me to clarify that the abbreviations mentioned provide astrological data: 'bhā.11'indicates that eleven solar days have elapsed from the current rāśisaṅkrānti.
According to the tropical zodiac, January 1 st is under the sign of Capricorn, while the previous sign is Sagittarius, which ends on December 21 st .These are the eleven elapsed days.On the other hand, 'gate.17'provides information according to the sidereal system, which is the one followed in India.According to the sidereal zodiac, on January 1 st , the Sun is in Sagittarius.The previous rāśi is Scorpio, which ends on December 15 th .Therefore, seventeen days have elapsed from the entry of the Sun into the current sign.Moreover, on January 14 th , 'gate.1', in green writing, can be seen.This is because, according to the sidereal zodiac, on January 14 th , the Sun enters into Capricorn.Thus January 14 th is the first day of the new rāśi Capricorn.As a matter of fact, inside the box of the 14 th , the writing makar saṅkrāṅti in fuchsia says that this is the day that the Sun enters into Capricorn (makar).
Furthermore, inside the box of January 21 st one finds, at the very top right, 'bhā.1'.This indicates that this is the first day of the new sign (which is Aquarius according to the tropical zodiac calendar).Thus, with remarkably economy, the two abbreviations we have observed refer to the zodiac according to both tropical and sidereal systems.Finally, at the very bottom, the pañcāṅga under consideration provides astrological diagrams similar to those that can be observed in Sanskrit astrological texts. 63These include the following: a list of inauspicious hours during the days; a list of muhūrtas of the month, which are the moments considered auspicious for undertaking four specific activities viz., marriage, travel, trade, and construction. 644.2 Calendrics, Hindu Rituals, and Festivals I now turn to calendric events that regulate various Hindu rituals. 65It would take us far afield to go into details of the religious milieu and cultural-historical context of these practices.For reasons of space, I shall refer only to the events of the calendar days analysed in the previous paragraph.I shall also discuss the information provided by the almanac on celebrations of religious and political events, as well as the performance of Hindu rites of passage (saṃskāras) and the observance of religious duties (vratas). 66A point to be 63 Interesting examples of astrological diagrams from Sanskrit texts are found in Kane, History of Dharmaśāstra, V 1, 556, 603, 628-629. 64Traditionally, all the five elements of the pañcāṅga (which are the five units of time, namely the tithi, vāra, nakṣatra, yoga, and karaṇa) are taken into consideration while selecting a muhūrta. 66A wealth of information on Hindu rituals (also related to astrology) is found in Kane, History of Dharmaśāstra.
emphasised is that these events can vary depending on local customs and that they can, in any given year, occur on slightly different dates according to lunar phases.
The analysis of this pañcāṅga presents a clear example of the continual legacy of Hindu saṃskāras over two millennia. 67'The saṃskāras had been treated from very ancient times as necessary for unfolding the latent capacities of man for development.' 68They are more than just rites and ceremonies; saṃskāras reflect the Hindu worldview and 'constitute an idea, a belief about human beings and their development in the world.' 69 The performance of Hindu rituals depends not only on auspicious lunar days and auspicious lunar constellations but also on solar events.In the pañcāṅga presented here, all the colourful writing that is found below the number representing each solar day gives The nakṣatras and the yogas are also divided into auspicious and inauspicious and are crucial for finding the best muhūrta for the undertaking of all kinds of activities.
Another interesting aspect of this pañcāṅga is that one finds images of religious figures from various Indian traditions represented in the boxes of some weekdays.For instance, on the box January 7 th , one finds, together with calendric and astrological information, the image of someone who clearly seems to be a spiritual teacher.The almanac informs us that January 7 th is the day of Guru Govind Singh, the tenth and last guru of the Sikhs.During the day of Guru Govind Singh jayaṁtī ('jubilee'), the devotees gather in large processions to sing devotional songs.Prayers are held at places of worship; poems are recited as part of praising the guru on his birthday, and special dishes that are unique to the occasion are shared.
In the present calendar, on the very same day, below the writing guru govind singh jayaṁtī, one finds guru rājendrasūri janm + puṇyaḥ.This refers to the celebration of the birth (janam) and the marking of respect to the virtues (puṇya) of the 19 th century Śvetāmbara Jain ācārya Rājendrasūri.In the box for January 12 th of this pañcāṅga, at the very top, one can also see an image of the Indian spiritual thinker Vivekānanda (1863-1902).This day commemorates his birth.On January 23 rd , a picture of a man in military dress is found.Below, we are informed: netājī subhāṣ jayaṁtī.This informs us that this is the jubilee of the political activist Netajī Subhāṣ (Subhas Candra Bose 1897-1945), who was an Indian nationalist leader.
On the 28 th , there is an image of a man, who we are told is Lālā Lājapatarāya (Lal Lajpat Rai 1865-1928), a Punjabi author and politician, who is remembered as a leader in the Indian independence movement.On that day, his birth is commemorated (1865-1928).
I have already mentioned that, under the title vrat evaṁ tyauhār, our pañcāṅga gives a list of religious practices (vrat) and festivals (tyauhār), which occur on various days of the month of January.According to the calendric system followed by this almanac, and according to the lunar phases of the year that it considers, on January 2 nd , the ritual called candradarśana is observed. 80This is a rite of passage celebrating the birth of offspring, during which a New Born is taken out of the house for the first time and shown the moon. 81e pañcāṅga informs us that on January 12 th rohiṇivrat is observed.This is one of the 79 Pradoṣavrata is mentioned in Kane, History of Dharmaśāstra, V, 1, 350.
81 Among Vedic rituals celebrating the auspicious occasion of birth, the New Born is also shown the sun.This rite is called sūryadarśana.
nakṣatravratas, 82 which are vratas performed under the influence of the different lunar mansions. 83This vrat is performed on the day when Rohiṇi prevails, as it does on the 12 th of January according to the calendric system followed by this pañcāṅga.It is believed that the performance of rohiṇivrat frees one from suffering and poverty. 84The succession of birthdays and rites creates an inclusive and demanding image of religious observances and cultural memory.

Conclusion
This paper has analysed the Indian solar/lunisolar calendar system and its relation to ancient and modern ritual practices.We have seen that, since the Vedas, rules for various rituals and sacrifices have been described as having to take place at particular times, such as the full moon, the new moon, or at the equinox.Calendric knowledge was thus of the utmost important for Vedic peoples in performing various kinds of rituals.Already, in this early period, attempts to develop a lunisolar calendar were made.The first explicit description of calendric knowledge in ancient India is found in the Jyotiṣavedāṅga, an ancillary Vedic text intended to support the establishment of the dates and times for the performance of the various sacrifices prescribed in the Vedic corpus.The Indian calendar attained its established form (although there were many variations in the ways in which its features were combined in practice) in the early centuries CE.
This essay has also discussed the characteristics of the traditional Indian almanac called pañcāṅga (lit.'five-limbed'), whose name derives from the five time units tracked by it: the 82 Rohiṇi is the nakṣatra of birth of the Hindu god Kṛṣṇa.
83 Rohiṇivrat is a fasting day in Jain community. 84Traditionally, there are twelve Rohiṇi fasting days in a year.
tithi, the vāra, the nakṣatra, the yoga, and the karaṇa.Sanskrit textual sources reveal that, around the middle of the second millennium CE, the ultimate goal of Indian practical astronomical computation was linked to the production of the pañcāṅga.This denotes a calendar which forecasts celestial phenomena such as the weather and solar eclipses, and was commonly used to establish the dates and times for both religious festivals and for the undertaking of daily activities and important undertakings, such as travel, marriage, trade and construction.In modern-day India, this yearly almanac is still very popular and published in different languages and styles all over the country, following the astronomical principles laid down in ancient astronomical treatises such as, for instance, the Sūryasiddhānta, the Grahalāghava, and the Tithicintāmaṇi.Not only are there many different versions of the pañcāṅga, but basically no two of them are the same as any other.In this regard, this paper has presented an analysis of the elements of the solar month January of the Gregorian year 2014 of a modern pañcāṅga in Hindi, in order to understand the way in which traditional knowledge is integrated into the contemporary practices of astral science.The translation and analysis of the information found in the almanac presented indicate that this is a lunisolar pūrnimānta calendar whose main body shows a solar structure, with lunar phases given inside the box of each solar day.Here, one finds the solar day (vāra), lunar day (tithi), the lunar constellation of the day (nakṣatra), numerical astrological data relative to the sidereal and tropical zodiac, and information on religious observances, festivals, and rituals.Overall, this almanac presents explicit information on three of the five elements of a pañcāṅga, as the terms yoga and karaṇa are not given.In conformity with traditional Sanskrit literature on muhūrta, a list of the auspicious and inauspicious moments of the month is found.
The present paper demonstrates that the connection between rituals, astrology, and astronomical phenomena is still a significant aspect of contemporary Indian culture; practices such as fasting and the making of offerings to the gods are performed during particular lunar days.Seasonal festivals and ancient rituals all over the country also accompany each passage of the Sun into a new zodiac sign (saṅkrānti).Lastly, an interesting aspect of the almanac under consideration is the character of the information provided, which is a mixture of tradition and modernity, and of the religious and the mundane.Also, one finds references to various Indian cultural and religious traditions.It can be seen, therefore, that traditional knowledge is substantially integrated with modern cultural practice.Having explored just one month of a modern Hindi almanac, which has offered us such a rich blend of the ancient and the modern, the religious and the social, it is clear that further exploration of this important cultural phenomenon is required.
Kern, ed., The Āryabhaṭīya: with the commentary Bhatadīpikā of Paramādīçvara (Leiden: E.J.Brill, 1874).For an English translation of this work, see Walter Eugene Clark, The Āryabhaṭīya of Āryabhaṭa: an ancient Indian work on mathematics, translated with notes (Chicago: The University of Chicago Press, 1930).26In the history of Hindu astronomy, the Sūryasiddhānta occupies an important position.This text does not appear to be the work of a single individual, but rather a synthesis based on periodic revisions.It was composed or revised around 800 CE from an earlier work of the same name and ascribed to direct revelation by the Hindu god Sūrya or 'Sun'.Sanskrit text in Fitzedward Hall, ed., The Sūrya-siddhānta: an ancient system of Hindu astronomy: with Ranganātha's exposition, the Gūdhārtha-prakāśaka.With the assistance of Bāpū Deva Śāstrin.(Calcutta: C.B. Lewis 1854-1859).English translation of the text by Ebenezer Burgess, Sūrya-Siddhānta: a text-book of Hindu Astronomy, translated with notes and appendix, ed.Phanindralal Gangooly, with an introduction by Prabodhchandra Sengupta (Delhi: Motital Banarsidass, Repr.1989).

32
The Hindu annual cycle consists of six ṛtus or 'seasons'.The spring months (corresponding to the months of the Gregorian calendar March-May) are Caitra and Vaiśākha, the summer months (May-July) are Jyaiṣṭha and Āṣāḍha, the rainy season months (July-September) are Śrāvaṇa and Bhādrapada, the autumn months (September-November) are Āśvina and Kārttika, the pre-winter months (November-January) are Mārgaśīrṣa and Pauṣa, and the winter months (January-March) are Māgha and Phālguna.
the names of the tithis of an Indian lunar month: Names of the tithis (lunar days)4.The Indian Traditional Almanac: the pañcāṅgaThe pañcāṅga is the Indian traditional almanac based on the ancient astronomical-astrological principles laid down in earlier Sanskrit texts on jyotiṣa.50It has already been mentioned that, prior to the medieval period in India, astronomical tables and manuals developed by Indian astronomers were directly or indirectly linked to the art of almanac making.This traditional calendar, still extensively used and published in different versions and in all the regional Indian languages, forecasts celestial phenomena such as solar eclipses, the weather, mundane occurrences, as well as establishing the dates for Hindu religious festivals.It contains tabulations of the positions of the Sun, Moon, and other planets for every day of the year at a fixed place and time.It also gives details of the daily ascendants and the most auspicious hours in a day, ruled by a particular planet.It gives information on the dates of religious festivals, religious practices such as fasting, pilgrimage, offerings to the Gods and the recitation of prayers.

65
In this regard, the Ācārasaṃgraha by the astronomer-mathematician Parameśvara (15 th c.CE) is a significant text.It lists muhūrtas during which to perform Hindu saṃskāras according to astronomical-astrological events such as lunar phases, nakṣatras, and auspicious lunar days.For instance, it mentions auspicious moments to perform saṃskāras such as the garbhādhāna and the vivāha ceremonies, which are Vedic rituals mentioned in Dharmasūtra literature.The first is a rite of passage performed before conception, while the second is a rite of passage associated with marriage.See the Sanskrit text of the Ācārasaṃgraha in Amma Viśveśvari, ed., Ācārasaṅgrahaḥ of Parameśvara (Trivandrum: Paurasatyabhāṣāgaveṣaṇahastalikhi-tagranthaprasādhanaKāryālaya, 1981). ).

Table 1 :
The correspondence between zodiac signs/solar months and lunar months.

Table 2 :
Nakṣatras, the months named after each nakṣatra, and the presiding ruler.
information on Hindu religious practices and festivals 70 (of the lunar months pauṣ and māgh of the Gregorian year 2014, corresponding to Vikram era 2070 and Śaka era 1935).It is interesting to note that many of these celebrations have been characteristic of Hindu culture since early times and are mentioned in Sanskrit ritual manuals.For instance, the pañcāṅga informs us that January 14 th is makar saṅkrānti or the 'entry of the Sun into Capricorn'.On this date, a very popular festival is celebrated.This is the only celebration falling, by and large, on the same date every year (though it may also fall on January 13 th or 67 On Hindu rituals and society in contemporary India, see DermotKillingley, Werner Menski, and ShirleyFirth, Hindu Ritual and Society (Newcastle upon Tyne: S.Y.Killingley, 1991).On Hindu festivals, see Chitralekha Singh and Prem Nath, Hindu festivals, fairs and fasts, (New Delhi: Crest Publishing House, 1999) and Guy R.Welbon and Glenn E. Yocum, eds., Religious festivals in South India and Sri   Lanka (New Delhi: Manohar, 1982).It is a major Hindu festival, regarded as the beginning of an auspicious period.It is celebrated with religious fervour and under various names and cultural forms in different parts of the country.As it signifies the beginning of the spring season, makar saṅkrānti is a harvest festival, where Gods are worshipped to ensure prosperity, success, and fortune.It is a kind of new-year festival marking the end of the inauspicious month Pauṣ and the completion of the solar year.71January16th is the full moon day (pūrṇimā).In India, religious rituals and practices such as fasting, prayers, and the taking of a holy bath in the rivers Ganga and Yamuna have been carried out during the full moon as well as on new moon days, both of which are considered to be particularly auspicious.The almanac says that this is also the day in which Śakambari, the incarnation of the goddess Durga, the goddess of fruits, vegetables, and leaves, is celebrated.January 17 th is pratipadā, which is the first lunar day of the dark fortnight.During the pratipadās, celebrated at various times all over India, several festivals and ceremonies are performed.For instance, in the South, balī pratipadā is celebrated on the month of Kārttika on the first day of the bright fortnight.The pañcāṅga tells us that January 19 th is Gaṇeśacaturthī, 72 one of the auspicious days dedicated to the Hindu God Gaṇeśa, who symbolizes the removal of obstacles and is worshipped with fasting, offerings, and prayers.The main celebration of Gaṇeśa is carried out on the day of his birthday, which falls in August/September.and is dedicated to the worship of the god Viṣṇu.In regard to the lunar days, the eleventh day, called ekadaśī, is considered a spiritually beneficial day.77During this day, fasting and other religious ceremonies are observed.According to Kane, 'a voluminous literature has grown round Ekādaśī in the Pūrāṇas and medieval digests.There are separate treatises on Ekādaśī written by medieval writers [...]'.78 70 January 13 th , one finds an image of a group of people surrounding a big fire.Below, we are told, in fuchsia writing, that, on this day, soma pradoṣ vrat is observed.This is a religious rite commemorated on the lunar day trayodaśī.When this occurs on Monday, as it is on January 2014, is called soma pradoṣ.Pradoṣ vrat is a Hindu religious practice for the worship of Śiva and Parvati.The performance of this vrat mainly involves fasting from sunrise to sunset, which is considered highly auspicious and beneficial, as well as the offering of prayers and acts of worship.It is believed that one will be blessed with wealth, children, happiness, and freedom from previous karmas.79 activities, including sexual life.In this regard, see Johann Jakob Meyer, Sexual life in Ancient India: a study in comparative history (New Delhi: Motital Banarsidass Publishers, Repr.1989), 243.77See also in Kane, History of Dharmaśāstra, V, 1, 62.78Kane, History of Dharmaśāstra, V, 1, 95.On ekādaśī and vratas, see in the same volume pp.62-121.On