A class of near-periodic orbits

Details A class of near-periodic orbits A class of near-periodic orbits

Jul 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989velen......102o&link_type=abstract

Leningradskii Universitet, Vestnik, Matematika, Mekhanika, Astronomiia (ISSN 0024-0850), July 1989, p. 102-105. In Russian.

Astronomy and Astrophysics

Astronomy

Orbital Mechanics, Particle Motion, Differential Equations, Equations Of Motion, Potential Fields, Roots Of Equations

Scientific paper

A study is made of the motion of a particle in the field of a rotationally symmetric potential in the comoving plane (R, z). An equation for the delta f/delta n gradient of the field of motion directions normal to the trajectory is considered. It is shown that, for periodic orbits, at the points of their orthogonal intersection with the axis R, the value of delta f/delta n equals zero. A condition is obtained for near-periodic orbits starting from the R axis.

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