पृष्ठम्:लघुभास्करीयम्.djvu/९९

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26 [ CE. I The Sun's earthsine is the distance between (1) the Sun's rising-setting line and (2) the line joining the points of intersection of the Sun's diurnal circle and the six o'clock circle. In Fig.2, let K be the point of intersection of the Sun's diurnal circle and the six o'clock circle, KB the perpendicular from K on the Sun's rising setting line, and KA the perpendicular from K on the east-west line. Then in the triangle KAB, we have KA=Rsin 8, KB=Sun's earthsine, and ZKAB= }. Therefore we have Rऽin 8 Rsin (90-) The Sun'ascensional is of s difference the arc the celestial equator 1ying between (1) the hour circle of the Sun's rising point on the eastern horizon and (2) the six o'clock circle. It can be seen from the celestial sphere that Rsirm (Sun's ascensional difference) Sum's earthsine Therefore Fig. 2 Rsin (Sun's ascensional difference ) = Correction for the Sun's ascensional difference (car0-talkskra) : 19-20. The minutes ofarcin the ar०ofthat (Sun's ascensional difference) are known as brama (or asu). On multiplying them by the true daily dividing by (Sun's) motion and 21600 are obtain ed the minutes, etc., (of the Sun's motion corresponding to its ascensional difference). (In order to obtain the Sun's true longitude) at sumrise (for the local place) these (minutes, etc.) should be subtracted (from the Sun's true longitude at sumrise