Numerical investigation of all possible equilibria of dual spin satellites

Details Numerical investigation of all possible equilibria of dual spin satellites Numerical investigation of all possible equilibria of dual spin satellites

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..37...81p&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 37, Sept. 1985, p. 81-93.

Astronomy and Astrophysics

Astronomy

6

Astrodynamics, Dual Spin Spacecraft, Spacecraft Motion, Angular Momentum, Computer Programs, Rotors, Stability

Scientific paper

The set of all possible equilibria of a gyrostat satellite attracted by n point masses has been obtained by solving two algebraic equations P1 = 0 and P2 = 0. It is shown in the elementary case n = 1 that the coefficients of these two equations depend on four parameters j1, j3, K, and nu-squared. The first two parameters depend only on the direction of the internal angular momentum of the rotors; the third parameter depends only on the principal moments of inertia of the satellite; and the fourth parameter is a decreasing function of one of the components of the internal angular momentum. A computer program has been written for obtaining the number of real roots of the two aforementioned equations according to the values of the parameters.

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