Circular orbits in the problem of n fixed centers

Details Circular orbits in the problem of n fixed centers Circular orbits in the problem of n fixed centers

Apr 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978velen......151s&link_type=abstract

Leningradskii Universitet, Vestnik, Matematika, Mekhanika, Astronomiia, Apr. 1978, p. 151-155. In Russian.

Astronomy and Astrophysics

Astronomy

Circular Orbits, Motion Stability, Orbital Mechanics, Planetary Gravitation, Satellite Orbits, Axisymmetric Bodies, Gravitational Fields, Hamiltonian Functions, Linear Equations

Scientific paper

Consideration is given to the problem of the motion of a satellite in the gravitational field of an axisymmetric planet. It is assumed that the gravitational field is represented by a system of complex point masses (fixed centers) situated on a complex axis. Particular emphasis is placed on the convergence of series that describe circular orbits and stable motions.

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