पृष्ठम्:लघुभास्करीयम्.djvu/९१

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IS TRUE LONGITUDES OF THE PLANETS [ CH. II Calculation of the bhujaphala and the kotiphala : 3(ii). They (i.e., the Rsines of the bhuja and the koti) multiplied by the (planet's tabulated) epicycle should be divided by 80 : the results are (known as) bhujaphala and kotiphala. 1 That is, bhujaphala = Rsin $huja) x tabulated epicycle 80 kotibhala = Rs,n f* * 1 ") x tabulated epicycle

    • ~~ 80~ *

In the case of the Sun and the Moon, the bhujaphala corresponds to the equation of the centre of modern astronomy. For details, the reader is referred to my notes on MBh, iv. 6. Application of the bhujaphala correction: 4(i). The bhujaphala is additive or subtractive according as the (mean) anomaly is in the half-orbit commencing with the sign Libra or in that commencing with the sign Aries. 8 In other words, the bhujaphala is additive or subtractive according as the mean anomaly is greater than 180° or less than 180°. The bhujaphala correction is applied to the Sun's mean longitude as cor- rected for the longitude correction. This correction having been applied we obtain the Sun's true longitude for mean sunrise at the 'local equatorial place' (i.e., at the place where the local meridian intersects the equator). Calculation and application of the bhujantara (or bhujaviva? a) correction: 4(ii). So also is applied (the bhujantara correction) which is obtained by multiplying the (mean daily) motion of the planet by the (Sun's) bhujaphala and dividing by the numberof minutes of arc in a circle (i.e., 21600). 3 1 Gf. MBh, iv. 4, 8(ii).

  • Cf. MBh, iv. 6.

» Gf. MBh, iv. 7.