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पृष्ठम्:Surya siddhanta (with commentary).pdf/४१२

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Appédit 859 Bun. Moon, Sun's opogee, Moon's Epogs Moon's node Buntire at Lama CoReson. Sunrice or six, merid, 1* ]8° £y 1 " + १४' ४+ " 1 12° 58 28 1' 13° १' 8 ' + 6* ' 12" 1• 18° 36' 28 " 2' 17° 1* 8* + 0 C 2•1* 27'23 " 2 22° 57g' 2° $' 8 22° 0' + 12°47' १४ ’ 18 • 12°48' B We have already (note to i. 68-65) called attention to the excessives awkword and eumbtrus character of this provoks for mnking the correc tion for diforence of meridian. V. To ind the sun's true longitude. From the longitude of sun's apsis, deduct sum's man longitude (ii. 23), 2** 7 98 1' 12* $8/ ¢8" 4° 23 55 1992 son's mean anomaly, Bine, १he diminution of the Sun's pieycle is now found by the following pro. nortion (i, 88): 8488 * : 2 : 187 : 11 12 * The dimensions of the opicyele are, then (i. 84), 14° -11 12", or 18° 48 48* . Next, the proportion (ii. 89} 60 18° 48 48 127 74’ 11 gives us the sun's equation of the centre, which, by ii. 45, is additive. Hence to the Sun's mean longitude add the equation, 1' 12" b8 28" 1 14’ 1? Sun's longitude, 1 4* ?’ 89 'This elculation exhibits R rather serious error : the sind of 84° 24' the anomaly, is 1942, not 1927. The final result, however, is not per ०eptibly modified by it; the equation ought to be 1° 14 80, and the terme longitude 1 14° 7 58". VI. 'o find the moon's true longitude From ahe longitude of the moon's apai, deduot moon's mean longitude. g* £2* 0° 34 118° 39 40+ Moon's mean anonnay Sine Dimination of spicycle, Dimensions of epicycle, quation of the centre, 1' 8° ५' 12", 1833 11’ 2 81° *8° $8* + 2° 47 Hence, to the Acod's meal fongitude, Ada bhe equation, !’ 18• @ 20" Moon's the longitude 11 16' 20