The rotation number of bounded orbits in a central field

Details The rotation number of bounded orbits in a central field The rotation number of bounded orbits in a central field

Mar 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..29..255p&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 29, March 1983, p. 255-266.

Astronomy and Astrophysics

Astronomy

1

Celestial Mechanics, Elliptical Orbits, Gravitational Fields, Orbit Perturbation, Orbital Mechanics, Stellar Rotation, Astronomical Models, Equations Of Motion, Harmonic Motion, Kepler Laws, Potential Fields, Rosette Shapes

Scientific paper

After reviewing known results on bounded motions in a central field and on the angle between two consecutive apocenters, the author investigates the limit of the orbits as the pericenter tends to the origin. A 'deflection' of the almost rectilinear orbits is found which depends on the shape of the potential at the origin. The author then studies the rotation numbers of all bounded motions in a field homogeneous in r. Finally on a few examples he shows how to represent the set of bounded motions in an inhomogeneous field.

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