Samvatsara
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Samvatsara (संवत्सर) is a
Sanskrit Sanskrit (; attributively , ; nominally , , ) is a classical language belonging to the Indo-Aryan branch of the Indo-European languages. It arose in South Asia after its predecessor languages had diffused there from the northwest in the late ...
term for a "year" in Vedic literature such as the ''Rigveda'' and other ancient texts. In the medieval era literature, a samvatsara refers to the "Jovian year", that is a year based on the relative position of the planet Jupiter, while the solar year is called ''varsha''. A jovian year is not equal to a solar year based on the relative position of Earth and Sun. A samvatsara is defined in Indian calendars as the time
Brihaspati Brihaspati ( sa, बृहस्पति, ), also known as Guru, is a Hindu deity. In the ancient Vedic scriptures of Hinduism, Brihaspati is a deity associated with fire, and the word also refers to a rishi (sage) who counsels the devas (god ...
(Jupiter) takes to transit from one sign of the Hindu zodiac (i.e.
rashi Shlomo Yitzchaki ( he, רבי שלמה יצחקי; la, Salomon Isaacides; french: Salomon de Troyes, 22 February 1040 – 13 July 1105), today generally known by the acronym Rashi (see below), was a medieval French rabbi and author of a compre ...
) to the next relative to its mean motion. The ancient text '' Surya Siddhanta'' calculates a samvatsara to be about 361 days, marginally short of a solar year. Hence, one complete orbit of Jupiter through all the twelve signs of the zodiac will approximately equal twelve solar years. Five such orbits of Jupiter (i.e. 12 times 5 = 60 samvatsara) are referred to as a ''samvatsara chakra''. Each samvatsara within this cycle has been given a name. Once all 60 samvatsara are over, the cycle starts over again. This cycle of 60 samvatsara is based on the relative positions of Jupiter and Saturn in the sky. The orbital periods of Jupiter and Saturn are approximately 12 and 30 solar years respectively. The
least common multiple In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers ''a'' and ''b'', usually denoted by lcm(''a'', ''b''), is the smallest positive integer that is divisible by bo ...
of these two orbital periods is ~60 solar years. Every sixty years, both planets will be positioned at nearly the same sidereal coordinates where they started off sixty years before, thus forming a sixty year cycle.


Omitted Samvatsaras

The ancient text '' Surya Siddhanta'' calculates the Jovian year to be about 361.026721 days or about 4.232 days shorter than the Earth-based solar year. This difference requires that about once every 85 solars years (~ 86 jovian years), one of the named samvatsara is expunged (skipped as a shadow year), to synchronize the two calendars. This system of omission has fallen into disuse in South India. "There is evidence to show that the cycle of Jupiter was in use in Southern India before Saka 828 (A.D. 905-6); but from that year, according to the Arya Siddhanta, or from Saka 831 (A.D. 908-9) according to the Sürya-Siddhanta, the expunction of the samvatsaras was altogether neglected, with the result that the 60-year cycle in the south became luni-solar from that year."


List of Samvatsaras

The sixty Samvatsaras are divided into 3 groups of 20 Samvatsaras each. The first 20 from ''Prabhava'' to ''Vyaya'' are assigned to
Brahma Brahma ( sa, ब्रह्मा, Brahmā) is a Hindu god, referred to as "the Creator" within the Trimurti, the trinity of supreme divinity that includes Vishnu, and Shiva.Jan Gonda (1969)The Hindu Trinity Anthropos, Bd 63/64, H 1/2, pp. 21 ...
. The next 20 from ''Sarvajit'' to ''Parabhava'' to
Vishnu Vishnu ( ; , ), also known as Narayana and Hari, is one of the principal deities of Hinduism. He is the supreme being within Vaishnavism, one of the major traditions within contemporary Hinduism. Vishnu is known as "The Preserver" withi ...
and the last 20 to
Shiva Shiva (; sa, शिव, lit=The Auspicious One, Śiva ), also known as Mahadeva (; ɐɦaːd̪eːʋɐ, or Hara, is one of the principal deities of Hinduism. He is the Supreme Being in Shaivism, one of the major traditions within Hindu ...
.


See also

*
Hindu Calendar The Hindu calendar, Panchanga () or Panjika is one of various lunisolar calendars that are traditionally used in the Indian subcontinent and Southeast Asia, with further regional variations for social and Hindu religious purposes. They adopt a ...
*
Panchangam A panchāngam ( sa, पञ्चाङ्गम्; ) is a Hindu calendar and almanac, which follows traditional units of Hindu timekeeping, and presents important dates and their calculations in a tabulated form. It is sometimes spelled ''Pa ...
*the Chinese
sexagenary cycle The sexagenary cycle, also known as the Stems-and-Branches or ganzhi ( zh, 干支, gānzhī), is a cycle of sixty terms, each corresponding to one year, thus a total of sixty years for one cycle, historically used for recording time in China and t ...


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* {{Seasons Units of time