Gradient of the directional field along the normal to the trajectory and the forms of the potential

Details Gradient of the directional field along the normal to the trajectory and the forms of the potential Gradient of the directional field along the normal to the trajectory and the forms of the potential

Oct 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977azh....54.1128a&link_type=abstract

Astronomicheskii Zhurnal, vol. 54, Sept.-Oct. 1977, p. 1128-1132. In Russian.

Astronomy and Astrophysics

Astronomy

3

Orbital Velocity, Potential Gradients, Trajectory Analysis, Velocity Distribution, Equations Of Motion, Geopotential, Gravitational Fields, Mathematical Models, Null Zones

Scientific paper

Agekian (1976) has shown that determination of the analytical form of the direction-field gradient along the normal to the trajectory is essential for studying the structure of directional velocity fields in the case of motion in a plane-potential field to which reduces the motion in the field of a rotationally symmetrical potential. In the present paper, it is shown that in the motion in a plane-potential field near the zero-velocity contour, the directional velocity field is always two-valued and that the sides of the orbit contour are mutually orthogonal.

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