Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976pazh....2..311k&link_type=abstract
Pis'ma v Astronomicheskii Zhurnal, vol. 2, June 1976, p. 311-314. In Russian.
Astronomy and Astrophysics
Astronomy
Elliptical Orbits, Hill Method, Motion Stability, Three Body Problem, Trajectory Analysis, Circular Orbits, Existence Theorems
Scientific paper
Sufficient conditions are determined for Hill stability and instability
of an isoenergetic family of trajectories in the simplified semiaveraged
elliptical restricted three-body problem proposed by Rein (1938) for
small eccentricities. The existence of motions that are stable in the
circular problem but unstable in Rein's problem is proven.
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