Other
Scientific paper
Jul 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..27..267d&link_type=abstract
Celestial Mechanics, vol. 27, July 1982, p. 267-284. In French.
Other
13
Circular Orbits, Newton Second Law, Orbital Mechanics, Rigid Structures, Two Body Problem, Angular Velocity, Axisymmetric Bodies, Center Of Mass, Ellipsoids, Equations Of Motion, Rotating Bodies, Translational Motion
Scientific paper
The problem of the movement of two rigid bodies whose elementary particles are attracted to each other according to Newton's law is addressed. It is shown that for bodies possessing axial symmetry with respect to the equatorial plane, the problem admits of several exact particular solutions corresponding to movements, termed 'regular'. In these movements, the center of mass of a body describes a circular orbit with constant angular velocity about the center of mass of the other, which is equivalent to a rectilinear trajectory. The orientation of each body with respect to this orbit is invariable and each body rotates uniformly on its own axis of symmetry. It is possible to distinguish the different types of these regular movements according to the various possible mutual orientations of two bodies. Each type of movement is given and appropriate name, and all the results are based on developmental properties of the problem's force function and may be generalized.
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