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Geocentric Positions Or Longitudes Of The Planets – Sighra Phala In Hinduism

Sighra Phala in Hinduism refers to the geocentric positions or longitudes of the planets. Sighra Kendra and Sighra phala are used in geocentric calculations of planets and indicate true anomaly and correction, respectively. Sighra Kendra is the angle subtended by the planet to the line joining the Earth and the Sun and is equal to the heliocentric longitude of the planet minus the heliocentric longitude of the Earth.

Inantar means elongation and sighra kama is the angle made by the geometric radius vector of the planet to bhu chal trijya (initial line of the Earth).

Sighra Kendra is the sum of sighra phala will be the difference between sighra Kendra and inantara.

Inantara will also be equal to the difference between half sighra Kendra (C) minus the angle subtended by a parallel line of sighra Kendra (B). Hence sighra phala will be the sum of half sighra Kendra and the above angle B.

This correction is true for superior planets (Mars, Jupiter, and Saturn), and for inferior planets (Mercury and Venus) this correction turns out to be IC-B. Param inantar (maximum elongation) for Venus and Mercury are 48 degrees + 28 degrees = 76 degrees.
Sighra phala thus refers to the equation of conjunction. It is calculated in several steps, and the detailed calculation involves the use of inverse trigonometric functions.

Source -
Handbook of Practical Astronomy (1968) - R A Vaidya - Payal Prakashan Nagpur
The Cultural Heritage Of India 91953) - Haridas Bhattacharya - Ramakrishna Mission, Institute of Culture Kolkata
Encyclopedia of Hinduism Volume IX page 449

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