Motion in the field of a rotationally symmetric potential - Properties of the almost-circular motion

Details Motion in the field of a rotationally symmetric potential - Properties of the almost-circular motion Motion in the field of a rotationally symmetric potential - Properties of the almost-circular motion

Apr 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981azh....58..273a&link_type=abstract

Astronomicheskii Zhurnal, vol. 58, Mar.-Apr. 1981, p. 273-279. In Russian.

Physics

Circular Orbits, Equations Of Motion, Field Theory (Physics), Orbital Mechanics, Potential Fields, Conservation Laws, Ergodic Process

Scientific paper

A method that uses the gradient of the field of directions normal to the trajectory is applied to the study of the properties of motion in a field of arbitrary potential when the region of possible motions is small. Expressions are obtained which describe the field of directions, the boundaries of orbits, and the stable periodic orbits. It is shown how these expressions change when the region of possible motions becomes larger.

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