CHAPTER II TRUE LONGITUDES OF THE PLANETS Definitions of the Sun's mean anomaly and the corresponding bhuja and kofi : l-2(i). The mean longitude of the Sun diminished by the longitude of the (Sun's) apogee is (called) the (Sun's mean) anomaly. There (in that anomaly) three signs form a quadrant. In the odd quadrant, the arc traversed and the arc to be traver- sed are known as bhuja (or bahu) and kofi (respectively); in the even quadrant, (they are known as) kofi and bhuja (or bahu) respectively. This is the position. 1 That is, Sun mean anomaly = Sun's mean longitude — longitude of Sun's . , . „ apogee. And if the Sun's anomaly be degrees, then bhuja=f) 1 180° -01 0—180°) 360°— fll koti=90"- 6 f > 0-90°/ » 27O°-0/> or 0-270°} ' according as O<0< 90°, 9O°<0<18O°, 18O°<0<27O° or 270° < < 360°. A rule for calculating the Rsines of the bhuja and kofi : 2(ii)-3(i). After converting the bhuja and the other (i.e., the koti) into minutes of arc and dividing by 225, (in each case) take (the sum of ) as many Rsine-differences as the quotient. Then multiply the remainder (in each case) by the current (i.e., next) Rsine-difference and divide by 225 and add the result (to the corresponding sum of the Rsine-difTerences obtained above). (The sums thus obtained are the Rsines of the bhuja and the koti) . 2 1 Gf. MBh, iv. 1, 8(iJ. 2 Gf. MBh, iv. 3-4(i).
पृष्ठम्:लघुभास्करीयम्.djvu/८९
दिखावट