Analysis of solar radiation pressure induced coupled librations of a gravity stabilized axisymmetric satellite

Details Analysis of solar radiation pressure induced coupled librations of a gravity stabilized axisymmetric satellite Analysis of solar radiation pressure induced coupled librations of a gravity stabilized axisymmetric satellite

Oct 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979cemec..20..297s&link_type=abstract

Celestial Mechanics, vol. 20, Oct. 1979, p. 297-313.

Statistics

Computation

Gravitational Effects, Librational Motion, Pressure Effects, Radiation Pressure, Solar Radiation, Spacecraft Motion, Spin Stabilization, Communication Satellites, Cylindrical Bodies, Equations Of Motion, Fourier Analysis, Lagrangian Equilibrium Points, Linear Equations, Roll, Satellite Control, Synchronous Satellites, Torque

Scientific paper

This paper presents an analysis of solar radiation pressure induced coupled librations of gravity stabilized cylindrical spacecraft with a special reference to geostationary communication satellites. The Lagrangian approach is used to obtain the corresponding equations of motion. The solar induced torques are assumed to be free of librational angles and are represented by their Fourier expansion. The response and periodic solutions are obtained through linear and nonlinear analyses, using the method of harmonic balance in the latter case. The stability conditions are obtained using Routh-Hurwitz criteria. To establish the ranges of validity the analytic response is compared with the numerical solution. Finally, values of the system parameters are suggested to make the satellite behave as desired. Among these is a possible approach to subdue the solar induced roll resonance. It is felt that the approximate analysis presented here should significantly reduce the computational efforts involved in the design and stability analysis of the systems.

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