Out-of-plane critical points in the ERTBP

Details Out-of-plane critical points in the ERTBP Out-of-plane critical points in the ERTBP

May 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007padeu..19..151s&link_type=abstract

Publications of the Astronomy Department of the Eötvös University (PADEU), 2007, ISBN 963 463 557, Vol. 19. Edited by B. Érdi a

Astronomy and Astrophysics

Astronomy

Scientific paper

In the three-dimensional elliptic restricted three-body problem the existence of out-of-plane critical points of the potential is proved. These critical points lie in the coordinate plane containing the two primaries and perpendicular to the plane of rotation of the primaries. They are symmetrically positioned to the axis containing the two primaries. The position of these out-of-plane critical points depends on the true anomaly, thus they do not determine new relative equilibrium solutions. These points are important in the study of the shape of the variable zero velocity surfaces existing in the elliptic restricted three-body problem.

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