Energy Conservation in the Restricted Elliptical Three-Body Problem

Details Energy Conservation in the Restricted Elliptical Three-Body Problem Energy Conservation in the Restricted Elliptical Three-Body Problem

Dec 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005arep...49.1018l&link_type=abstract

Astronomy Reports, vol. 49, Issue 12, p.1018-1027

Astronomy and Astrophysics

Astronomy

1

Scientific paper

The energy conservation law for the elliptical three-body problem is derived using an invariant relation corresponding to the Jacobi integral in the circular problem. The minimum-energy surfaces are constructed, which transform in the case of zero eccentricity into zero-velocity surfaces. Some astronomical applications of the results are considered. In particular, it is shown that Roche-lobe overflow displays pulsational behavior in the elliptical three-body problem.

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