Spherical Astronomy Electronic Resource

Cover Spherical Astronomy Electronic Resource
Spherical Astronomy Electronic Resource
F Franz Brnnow
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6377843.
If we compute again the numerical values of the coef- ficients and take a = 1, we find: log $ == 9 . 9992747 -H 0. 0007271 cos 2 y 0. 0000018 cos 4 y (F) and from this we get for instance for the latitude of Berlin : log ^ = 9. 9990880.
144 If we know therefore the latitude of a place, we can compute from the two series (C) and (F) the geocentric la- titude and the distance of the place from the centre of the earth and these two quantities in connection with the sidereal time define th
...e position of the place with respect to the centre of the earth at any moment. If we now imagine a system of rectangular axes passing through the centre of the earth, the axis of z being vertical to the plane of the equator, whilst the axes of x and y are situated in the plane of the equator so that the positive axis of x is directed towards the point of the vernal equinox, the positive axis of y to the point whose right ascension is 90, we can express the position of the place with respect to the centre by the following three co-ordinates : X = () COS ' COS y = $ cos y> sin (6r).

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