सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

51 universe, and c the number of civil days or mean solar days in a Kalpa. ' For the sake of an easy computation Bhaskara gives here an interpolation. In the first place, we are asked to multiply A by 11859 by which, an excess is there in the result; then this excess is sought to be removed. The excess is A × 11859 - (A × C) / c because A × C / c is the correct distance described. In other words, the distance described by any planet is (A × C) / c = A × 11859 - (A × 11859 - (A × C) / c) I But C / c = 18712069200000000 / 1577916450000 = 420024000 / 35419 dividing by the common factor 44550000 ∴ The space described by any planet is from I A × 11859 - A { (c × 11859 - C) / c } = A × 11859 - A { (35419 × 11859 - 420024000) / 35419 } But the numerator within the brackets is 9921 ∴ Space described = A × 11859 - (A × 9921) / 35419 as stated. This distance divided by the individual orbital lengths, we have the integral number of revolutions made by each planet, rejecting which we have the fractional part of a revolution which gives the position of the planet. Verses 8, 9. The orbit of the planet itself is no doubt the orbit of the Mandoccha (apogee with respect to the Sun and the Moon and aphelion with respect to the other Star- planets ie Mars, Mercury, Jupiter, Venus and Saturn) and of the node (point of intersection of the orbits of the Star- planets with the ecliptic); but while Computing the posi- tions of these Mandocchas and the Nodes, as per the method indicated above ie according to the method of