A specific case of stability of cylindrical precession of a satellite

Details A specific case of stability of cylindrical precession of a satellite A specific case of stability of cylindrical precession of a satellite

Jun 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008cosre..46..264k&link_type=abstract

Cosmic Research, Volume 46, Issue 3, pp.264-272

Computer Science

Numerical Analysis

45.40.Cc, 45.20.Dc

Scientific paper

In a central Newtonian gravitational field, the motion of a dynamically symmetrical satellite along an elliptical orbit of arbitrary eccentricity is considered. The particular motion of the satellite is known when its axis of symmetry is perpendicular to the orbit plane, and the satellite rotates about this axis with a constant angular velocity (cylindrical precession). A nonlinear analysis of stability of this motion has been performed under the assumption that the geometry of the satellite mass corresponds to a thin plate. At small values of orbit eccentricity e the analysis is analytical, while numerical analysis is used for arbitrary values of e.

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