Post-newton metric inside and outside a rotating oblate ellipsoid

Astronomy and Astrophysics – Astronomy

Scientific paper

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Post-Newton Approximation, Inner And Exerior Metric, Oblate Spheroid, Spherical Harmonics

Scientific paper

Post-Newton metric was got inside and outside a uniform uncompressed ideal fluid oblate ellipsoid at rigid rotation. Analytic solutions of post-Newton metric component were got by series expansion in oblate ellipsoid coordinate system. There are only finite terms in series in this problem, so results can be used to study particle movement near the ellipsoid.

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