Notes on regularization of the satellite version of the three-body problem

Details Notes on regularization of the satellite version of the three-body problem Notes on regularization of the satellite version of the three-body problem

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993azh....70..642k&link_type=abstract

Astronomicheskij Zhurnal (ISSN 0004-6299), vol. 70, no. 3, p. 642-648.

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Circular Orbits, Motion Stability, Natural Satellites, Three Body Problem, Equations Of Motion, Numerical Integration, Taylor Series

Scientific paper

A regularized system of equations of the satellite version of the
three-body problem is obtained. Quadrature formulas are suggested for
calculating the post-Keplerian approximation of the solution. An
asymptotical expansion of the general solution is considered. The domain
of the solution's expansion into Perron-type series is determined.

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