A qualitative analysis of forms of motion in one model problem

Details A qualitative analysis of forms of motion in one model problem A qualitative analysis of forms of motion in one model problem

Oct 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978azh....55.1098k&link_type=abstract

(Astronomicheskii Zhurnal, vol. 55, Sept.-Oct. 1978, p. 1098-1102.) Soviet Astronomy, vol. 22, Sept.-Oct. 1978, p. 626-628. Tra

Physics

Astronomical Models, Celestial Mechanics, Circular Orbits, Dynamic Characteristics, Field Theory (Physics), Three Body Problem, Gravitational Fields, Point Sources, Qualitative Analysis, Three Dimensional Motion, Trajectory Analysis

Scientific paper

A model problem is developed which involves the motion of a small point mass in the gravitational field of two fixed centers and in the field of a force directly proportional to the distance from the moving point to the straight-line segment connecting the fixed points. The effect of the rotation of the gravitating points about their common center of inertia is partially taken into account. A detailed qualitative analysis of the motions of a passively gravitating point is given for the three-dimensional case. Four qualitatively different kinds of trajectory are distinguished in this case.

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