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16. TROPICAL INITIAL POINT OF THE TIME CYCLES
From the beginning of the kalpa up to the present kaliyuga epoch there are 4567 intervals of a kaliyuga calculated as follows:3

A week of seven precessional years is 180000 sidereal years (see Chapter 13). From the beginning of the kalpa up to the present kaliyuga there are From the beginning of the present week of precessional years to 1 January 2000 mean Greenwich noon, Julian date 2451545.0, there are tropical years. Taking the fraction of a tropical year and counting backward 0.5291 tropical years from 1 January brings the calendar date to 21 June, the day of the summer solstice.

If we call the tropical year initial point of Hindu cosmological time cycles from the beginning of the kalpa a mean summer solstice, the derived fixed initial point of the sidereal sphere used in the construction of Hindu cosmological time cycles, which is then conjunct to it, is very close to the full Moon point of the fixed initial point given in the SuryaSiddhanta commentary. Henceforth, therefore, we shall consider the initial point of the sidereal sphere for Hindu cosmological time cycles to be the sidereal position of the mean Sun at the mean summer solstice of the year

before the kaliyuga epoch. In a fictitious true tropical calendar the date of this event would have been 21 June 147108 B.C.
3. SuryaSiddhanta, Ebenezer Burgess translator, Journal of the American Oriental Society, Volume 6, New Haven, 1860, pp. 154-6.
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