Orbital and epicyclic frequencies of Maclaurin spheroids
W. KluźniakCopernicus Astronomical Center, ul. Bartycka 18, PL-00-716 Warszawa, PolandD. RosińskaInstitute of Astronomy, University of Zielona Góra, ul. Lubuska 2, PL-65-265 Zielona Góra, Poland
2013en
ABI
Abstract
We present analytical formulae for the orbital and epicyclic frequencies in orbits around Maclaurin spheroids in Newtonian gravity. The Laplace equation for the gravitational potential implies that the orbital frequency squared is the arithmetic mean of the squares of the epicyclic frequencies,
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