Influence of the resonance in a gravity-gradient stabilized satellite

Details Influence of the resonance in a gravity-gradient stabilized satellite Influence of the resonance in a gravity-gradient stabilized satellite

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cemda..47..225d&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 47, Issue 3, pp.225-243

Astronomy and Astrophysics

Astronomy

Scientific paper

Using Hamiltonian formalism the translational-rotational motion of a satellite is studied near a resonance considering the orbital and rotational motions. A first order perturbation theory is derived by Hori's transformation in order to eliminate short and long periodic terms, preserving in the new Hamiltonian secular and resonant terms. This theory is again applied to study the resonant system whose analysis lead us to a system of equations equivalent to the equations of a simple pendulum which is integrable in terms of elliptical integrals.

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