A particular case of the generalized four-body problem

Details A particular case of the generalized four-body problem A particular case of the generalized four-body problem

Aug 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976acaau...3..481p&link_type=abstract

Acta Astronautica, vol. 3, July-Aug. 1976, p. 481-504. In French.

Mathematics

2

Astrodynamics, Center Of Gravity, Four Body Problem, Gyroscopic Stability, Librational Motion, Celestial Mechanics, Equations Of Motion, Equilibrium Equations, Kinetic Energy, Matrices (Mathematics), Moments Of Inertia, Motion Stability, Three Body Problem

Scientific paper

An investigation is conducted of the motion of a gyroscope of infinitesimal mass which according to Newton's gravity law is attracted by three spherical homogeneous bodies with a finite mass. It is assumed that the centers of inertia of the spherical bodies occupy the corners of an equilateral triangle. It is attempted to determine the orientations which the gyroscope can have when its center of inertia is placed at one of the libration points considered by Pedersen (1944)

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