206 ASTRONOMICAL CONSTANTS Inclinations of the orbits of the planets to the ecliptic : 9. The degrees of the greatest celestial latitudes of Mercury, Venus, and Saturn are each 2; of Jupiter, 1 ; and of Mars, 13.¹ Longitudes of the ascending nodes of the planets and a rule for finding the celestial latitude of a planet: 10. The degrees of the longitudes of the ascending nodes (of the same planets) àre 20, 60, 100, 80, and 40 respectively. The celestial latitude, north or south, (of a planet) should be given out after calculation from the longitude of the planet minus the longitude of its ascending node. Longitudes of the apogees of the planets and the method for finding the manda and sighra anomalies: 11-12. The degrees of the longitudes of the apogees (of the same planets) are respectively 210, 90, 236, 180, and 118. Of the Sun they are to be known as 78.³ A (In order to get the manda anomaly) subtract the longi- tude of the apogee (of the planet) from the longitude of the planet; and (in order to obtain the sighra anomaly) always subtract the longitude of the planet from the longitude of the sighrocca (of the planet). Manda and sighra epicycles of the planets, and Rsine-differences corresponding to the twenty-four elements of a quadrant; 13-16. In (the beginnings of) the odd quadrants the manda and sighra epicycles (of Mercury, Venus, Saturn, Jupiter, and Mars) are 7, 4, 9, 7, 14 and 31, 59, 9, 16, 53 (respectively); and in (the beginnings of) the even quadrants they are stated to be 5, 2, 13, 8, 18 and 29, 57, 8, 15, 51 (respectively). Of the Sun and the Moon, the epicycles are 3 and 7 (respectively). 1 The same values are found in A, i. 8 and ŚiDV, I, x. 5(i). 2 The same longitudes are given in A, i. 9(i) and SiDV, I, x. 5(ii). 3 These longitudes are the same as found in A, i. 9(ii) and SiDV, I, ii. 28(i), 9(iv).
