Multiply the sine of the anomaly (Kendra-jya) by the epicycle and divide by 360; the arc of the result is the Manda-correction (Equation of the Center).
Modern Technical Commentary:
The fundamental formula for the Equation of the Center. It transforms the mean eccentricity into a longitudinal correction (Phala) using a sine-wave model. This represents the Sun's non-uniform motion as seen from Earth.
Multiply the sine of the anomaly (Kendra-jya) by the epicycle and divide by 360; the arc of the result is the Manda-correction (Equation of the Center).
Modern Technical Commentary:
The fundamental formula for the Equation of the Center. It transforms the mean eccentricity into a longitudinal correction (Phala) using a sine-wave model. This represents the Sun's non-uniform motion as seen from Earth.
Transforms the mean eccentricity into a
longitudinal correction.
Calculate the Manda Equation (Equation of the Center).
[Ch. II, v.39, 45]
Siddhantic Proof: Spashta (True Longitudes) v.39
Sanskrit (Devanagari):
तद्गुणे भुजकोटिज्ये भगणांशविभाजिते। तद्भुजज्याफलधनुर्मान्दं लिप्तादिकं फलम्॥
Translation (Burgess):
Multiply the sine of the anomaly (Kendra-jya) by the epicycle and divide by 360; the arc of the result is the Manda-correction (Equation of the Center).
Modern Technical Commentary:
The fundamental formula for the Equation of the Center. It transforms the mean eccentricity into a longitudinal correction (Phala) using a sine-wave model. This represents the Sun's non-uniform motion as seen from Earth.
Siddhantic Proof: Spashta (True Longitudes) v.39
Sanskrit (Devanagari):
तद्गुणे भुजकोटिज्ये भगणांशविभाजिते। तद्भुजज्याफलधनुर्मान्दं लिप्तादिकं फलम्॥
Translation (Burgess):
Multiply the sine of the anomaly (Kendra-jya) by the epicycle and divide by 360; the arc of the result is the Manda-correction (Equation of the Center).
Modern Technical Commentary:
The fundamental formula for the Equation of the Center. It transforms the mean eccentricity into a longitudinal correction (Phala) using a sine-wave model. This represents the Sun's non-uniform motion as seen from Earth.