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Fundam. Prikl. Mat., 1995, Volume 1, Issue 4, Pages 1045–1058 (Mi fpm125)  

The integrable cases of the three-body problem at third-order resonance under the oblateness of the central planet

V. N. Shinkin

Moscow State Institute of Steel and Alloys (Technological University)

Abstract: In the present paper the general spatial and restricted elliptic spatial three-body problem at third-order resonance $j:(j+3)$ are analytically integrated by quadratures with the help of the Weierstrass functions, using an expansion of the disturbing function up to and including the third-degree terms in the eccentricities and in the inclinations.

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Bibliographic databases:
UDC: 521.13
Received: 01.04.1995

Citation: V. N. Shinkin, “The integrable cases of the three-body problem at third-order resonance under the oblateness of the central planet”, Fundam. Prikl. Mat., 1:4 (1995), 1045–1058

Citation in format AMSBIB
\Bibitem{Shi95}
\by V.~N.~Shinkin
\paper The integrable cases of the three-body problem at third-order resonance under the oblateness of the central planet
\jour Fundam. Prikl. Mat.
\yr 1995
\vol 1
\issue 4
\pages 1045--1058
\mathnet{http://mi.mathnet.ru/fpm125}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1791628}
\zmath{https://zbmath.org/?q=an:0900.70163}


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  • Фундаментальная и прикладная математика
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