9. EXACT FORMULAE OF THE ASTRONOMICAL QUANTITIES
The defining relations of the sidereal year and constant of precession used in Hindu cosmological time cycles may be manipulated algebraically to yield statements of natural law in which the numbers seven and 366 are prominent components. These formulae demonstrate the extreme economy of numbers used in the construction of the cycles.

1 sidereal year = 366.2563795...

                     366
                = ---------
                        7
                  1 - -----
                      10000

                            70       71
                = 6(60+1)(------ + ------ + . . .
                          100000   100001

                              7n
                          + ------ + . . . ) diurnal revolutions
                            10000n           of the the Earth

                     366
                = --------- - 1  mean solar days.
                        7
                  1 - -----
                      10000

                     366           1
1 tropical year = --------- · ---------- diurnal revolutions
                        7           7    of the Earth.
                  1 - -----   1 + ------
                      10000       180000

precession in
1 sidereal year = 0°.014

                    7°           366
                = -------- · ---------
                  500(360°)        7
                             1 - -----
                                 10000

                   1      366
                = -- · --------- diurnal revolutions
                  18   10000     of the Earth.
                       ----- - 1
                         7

3rd mean motion
     of the Sun = 0.2563795...

                     366
                = ---------  diurnal revolutions of the
                  10000      Earth in one sidereal year
                  ----- - 1
                    7

                = 18 times the precession in 1 sidereal year

                = 0°.252 per year.