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

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

Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary

भास्कराचार्य द्वितीय द्वारा

DevanagariHindipublished573 पृष्ठ

पृष्ठ 552, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 552

532 when the lunar orbit comes in between the celestial Equator and the ecliptic. This situation, in its turn, depends upon the position of Rāhu. Since Rāhu's sidereal period amounts to nearly 18½ years, the lunar orbit happens to take its position in between the celestial Equator and the Ecliptic for sufficiently a long period as shown below. That Bhāskara could visualize this, reflects credit to his genius. This is why he formulated Δδ ± Δβ stressing upon the plus or minus sign. Fig. 128 Bhāskara gives an example under the above verse in the commentary to justify his finding given above. Suppose Rāhu is at the autumnal equinox and the longi- tudes of both the Sun and the Moon are equal to 79°. Adding the Ayanāṁs'as 11°, their longitudes are each 90° so that both of them are at the summer solstice ie. an Āyana Sandhi. (Of course the Moon is not exactly at the position of the Sun, but he being in his own orbit, his longitude measured along the Ecliptic is 90°). Then evidently the lunar orbit lies in between the celestial equator and tho Ecliptic. Then the declination of the Moon is 24°–4½°=19½°=1170′ and the declination of the Sun is 24°=1440′. Thus the Moon's declination when it is maximum falls short of that of the Sun. After half of the sidereal period of the Moon namely 13⅔ days, the