The structure of the field of directions of travel, and some forms of the potential

Details The structure of the field of directions of travel, and some forms of the potential The structure of the field of directions of travel, and some forms of the potential

Feb 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978sva....22...26a&link_type=abstract

(Astronomicheskii Zhurnal, vol. 55, no. 1, 1978, p. 47-55.) Soviet Astronomy, vol. 22, Jan.-Feb. 1978, p. 26-30. Translation.

Astronomy and Astrophysics

Astrophysics

Astrophysics, Orbit Calculation, Orbital Mechanics, Potential Theory, Functions (Mathematics), Partial Differential Equations, Potential Gradients, Trajectory Analysis

Scientific paper

A new particular solution is found for the system of partial differential equations relating the potential and the functions expressing the gradient of the field of directions normal to the path for motion in a potential field. Equations for the orbit contours for the family of potentials found are derived along with equations for the stable periodic orbits. All orbits are tubular.

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