Interaction between Attitude Libration and Orbital Motion of a Rigid Body in a near Keplerian Orbit of Low Eccentricity

Details Interaction between Attitude Libration and Orbital Motion of a Rigid Body in a near Keplerian Orbit of Low Eccentricity Interaction between Attitude Libration and Orbital Motion of a Rigid Body in a near Keplerian Orbit of Low Eccentricity

Mar 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972cemec...5..157m&link_type=abstract

Celestial Mechanics, Volume 5, Issue 2, pp.157-173

Physics

4

Scientific paper

Interaction between orbital motion and attitude libration dynamics of an arbitrary rigid body moving in a central Newtonian field is considered to second order. Advantage is taken of the decoupling between inplane-pitch and roll-yaw out-of-plane motion to restrict the motion to the orbital plane by an appropriate choice ofinitial conditions. An averaged solution to the nonlinear inplane-pitch equations whose accuracy is determined by ignoring terms of order {ɛ·G32/a 2, ɛ2,αɛ2,G32/a 2} and higher is presented. The results show that the near-resonant motion is characterized by a periodic interchange of energy between the attitude and orbital motion.

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