The Expansion of the Distance Between Two Arbitrary Gravitating Points as Applied to Specific Models of Celestial Bodies |
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| Authors: | A S Baranov |
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| Institution: | (1) Central Astronomical Observatory at Pulkovo, 65/1, Pulkovskoe Shosse, 196140, St. Petersburg, Russia |
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| Abstract: | For the complete system of biharmonic functions a suitable representation in spheroidal coordinates is found. It is used for expanding the distance between two arbitrary gravitating points and its inverse quantity in appropriate series. Such expansions can be of interest and useful in a number of problems of celestial mechanics and stellar dynamics. |
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| Keywords: | gravitating point potential spheroidal coordinates elliptical galaxy oblateness |
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