A single Manda-correction is for the Sun and Moon; for Mars and the rest, it is stated that there are four: first Sighra, then Manda, again Manda, then Sighra.
Modern Technical Commentary:
The standard iterative procedure for star-planets. Because the two corrections (Manda and Sighra) are interdependent, the Siddhanta requires a sequence of half-corrections followed by full-corrections to converge on the true position.
A single Manda-correction is for the Sun and Moon; for Mars and the rest, it is stated that there are four: first Sighra, then Manda, again Manda, then Sighra.
Modern Technical Commentary:
The standard iterative procedure for star-planets. Because the two corrections (Manda and Sighra) are interdependent, the Siddhanta requires a sequence of half-corrections followed by full-corrections to converge on the true position.
Implements the rigorous four-step correction procedure:
1. Apply half of the Sighra-phala to the Mean Longitude.
2. Apply half of the Manda-phala to the result.
3. Apply the full Manda-phala to the original Mean Longitude to
find the 'Manda-spashta'.
4. Apply the full Sighra-phala to the 'Manda-spashta' to find the
final 'True Longitude'.
Calculate the True Longitude (Spashta) for star planets.
[Ch. II, v.43-44]
Siddhantic Proof: Spashta (True Longitudes) v.43
Sanskrit (Devanagari):
मान्दं कर्मैकं अर्कॆन्दोः भौमादीनाम् अथ उच्यते। शैघ्यं मान्दं पुनर्मान्दं शैघ्यं चत्वारि अनुक्रमात्॥
Translation (Burgess):
A single Manda-correction is for the Sun and Moon; for Mars and the rest, it is stated that there are four: first Sighra, then Manda, again Manda, then Sighra.
Modern Technical Commentary:
The standard iterative procedure for star-planets. Because the two corrections (Manda and Sighra) are interdependent, the Siddhanta requires a sequence of half-corrections followed by full-corrections to converge on the true position.
Siddhantic Proof: Spashta (True Longitudes) v.43
Sanskrit (Devanagari):
मान्दं कर्मैकं अर्कॆन्दोः भौमादीनाम् अथ उच्यते। शैघ्यं मान्दं पुनर्मान्दं शैघ्यं चत्वारि अनुक्रमात्॥
Translation (Burgess):
A single Manda-correction is for the Sun and Moon; for Mars and the rest, it is stated that there are four: first Sighra, then Manda, again Manda, then Sighra.
Modern Technical Commentary:
The standard iterative procedure for star-planets. Because the two corrections (Manda and Sighra) are interdependent, the Siddhanta requires a sequence of half-corrections followed by full-corrections to converge on the true position.