An Account of the Astronomical Discoveries of Kepler Including An Historical R
An Account of the Astronomical Discoveries of Kepler Including An Historical R
Robert Small
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For this purpose, draw from C the thod tode- line CD, bisecting AB in D. Then, since AC = . J 666. 6, and AD = 50O, the angle CAD will be found = 72 23', and thence ACB = 2ACD = 34 54'. Therefore, since Mars, when seen from the sun in 4s. 17 is in the line BC, and ACB is n: 34 s. 54', he will, at the time when AC is =2 BC, be seen from the earth in 5s. 21 54': and, since CAB = 72 23', the sun will a, t the same time be in 8s. 4 27'. Or, if the earth should be in the point H of her orbit, the pl...anet would be seen from the earth in 3s. 12 6', and the sun in Os. 28 33'. When C represents the opposite limit, the con- figuration will be somewhat different. For, then CB, according also to T. Brahe's theory, is z^ }375: and CAB will therefore be found = 68 4 1 ', and ACB = 42 28'. Consequently, in this li- mit, the planet will be seen from the earth in gs. 4 22', and the sun in 6s. 25 5 i ', when AC becomes equal to BC ; or, in lls. 29 28', while the sun is in 2s. 6 9'. As the invariable inclination of the planetary orbits OF KEPLER, orbits to the ecliptic, which was established by this investigation, may justly be ranked among Kep- ler's great discoveries, the methods of investigation merit a particular detail.
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