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Interaction between attitude libration and orbital motion of a rigid body in a near keplerian orbit of low eccentricity

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Abstract

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 {ε·G32/a 2, ε2,αε2,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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Authors and Affiliations

  1. Stanford University, Stanford, Calif., U.S.A.

    Srinivas N. Mohan Ph.D. Candidate, Dept. of Aeronautics and Astronautics, John V. Lange (Professor, Department of Aeronautics and Astronautics) & Benjamin O. Lange

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  1. Srinivas N. Mohan Ph.D. Candidate, Dept. of Aeronautics and Astronautics
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  2. John V. Lange
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  3. Benjamin O. Lange
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Associate Professor, Department of Aeronautics and Astronautics.

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Mohan, S.N., Lange, J.V. & Lange, B.O. Interaction between attitude libration and orbital motion of a rigid body in a near keplerian orbit of low eccentricity. Celestial Mechanics 5, 157–173 (1972). https://doi.org/10.1007/BF01229519

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  • DOI: https://doi.org/10.1007/BF01229519

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