Dynamics of an elastic body in a gravitational field.

Details Dynamics of an elastic body in a gravitational field. Dynamics of an elastic body in a gravitational field.

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cosre..27..133m&link_type=abstract

Cosmic Res., Vol. 27, No. 2, p. 133 - 143

Physics

Artificial Satellites: Motions, Artificial Satellites: Orbits

Scientific paper

The motion of a large spacecraft in a central Newtonian gravitational field is investigated. The spacecraft is modeled by a flexible continuum possessing internal friction. Through the use of the fundamental theorems of dynamics and Lagrange's equations of the second kind a closed system of differential equations is obtained that describes the motion of such a medium; these equations coincide with the well-known Santiny equations. In order to analyze the motion equations a method analogous to the asymptotic method developed by Chernous'ko for mechanical systems that contain flexible and dissipative elements is applied. Emphasis is placed on two dimensional motion of a body relative to the center of mass. Relative equilibrium positions are found for a body traveling in a circular orbit and the stability of these positions is considered. Eccentricity vibrations are investigated for the case of a nearly elliptic orbit.

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