________________
JULY, 1983
Besides, from eq. No. (1) we have
Da
V1 =
V1
S
Vdt
Now in vaiśvānara vithi (n=7), Dn is maximum (see table No. 4)
D,
S
O
Dn
Vdt
D,
--minimum value (see table No. 4)
Thus mean velocity of Venus is minimum in vaiśvānara vithi (fire lane). This result stands true also for actual physical situation as shown below:
We know that instantaneous relative geocentric velocity of Venus,
VVV-Vg............
15
-3)
Jain Education International
where VvHeliocentric velocity of Venus during geocentric retrogression
Vs Apparent velocity of the Sun
Now as it is evident from fig. No. 2 that perigee (point of apparent maximum geocentric velocity) A of Sun lies in vaiśvānara vithi i.e. Vg in vaisvānara vithi lies in the neighbourhood of its maximum value ; and aphelion (point of minimum helocentric velocity) C of Venus lies very near to that i.e. Vy in vaiśvānara vithi lies in the neighbourhood of its minimum value. Thus in vaiśvānara vithi the various values of V(= Vv-Vs) would be smaller than its corresponding values in similar situations of Venus in any other vithi.
Consequently mean velocity Vn of Venus will also mbe inimum in vaiśvānara vithi (for n=7).
For Private & Personal Use Only
www.jainelibrary.org
