पृष्ठम्:महाभास्करीयम्.djvu/२४२

विकिस्रोतः तः
एतत् पृष्ठम् अपरिष्कृतम् अस्ति

MERIDIAN-ECLIPTIC POINT FOR GEOCENTRIC CONJUNCTION 157 The formula for the true diameter of the shadow given in the text depends entirely upon the true daily motion of the Moon whereas it ought to depend upon the true daily motions of the Sun and Moon both. The author obviously takes the mean diameter of the shadow to be that which corresponds to the mean distances of the Sun and the Moon and derives the value of the true diameter of the shadow therefrom by apply- ing the usual process. The rationale seems to be as follows: Mean diameter of the shadow Earth's diameter __(Sun's diameter. Earth's diameter) × (Moon's mean ace) Sun's mean distance =1050-(4410-1050) × 34377 459585 -1050- 3360x34377 459585 -1050-251-3-798-7 yojanas. Therefore, True diameter of the shadow 798-7XR minutes, Sun's true distance in yajanas 798-7X(Moon's true daily motion in minutes) minutes. Moon's mean daily motion in yojanas 798 7x (Moon's true daily motion in minutes) minutes 7905-8 Moon's true daily motion in minutes minutes, 10 + Moon's true daily motion in minutes 16 seconds. A rule for the determination of the (sayana) longitude of the meridian-ecliptic point for the time of geocentric conjunction of the Sun and Moon: 8-11. Now is stated the method for (finding the longitude of) the meridian-ecliptic point. Those proficient in the (astro- nomical) science should know that the determination (of that) is made with the asus due to right ascension (i.e., with the times in asus of rising of the signs at the equator).