## The dynamics of a rigid, and of a deformable, dumbbell satellite |

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acceptable to examine angle of nutation bending center of force center of mass circular orbit coefficients constant CORNELL UNIVERSITY LIBRARIES coupled degrees of freedom Doctor of Philosophy dumbbell axis elastic satellite end re polynomials equation 114 equation 56 equation 94 equations 109 equations 26 equations 72 equations of motion equations which govern extensible dumbbell satellite extensible satellite flexible dumbbell force field govern the three Hill's infinite infinite determinant initial conditions initial positions iterative joining the center Lagrangian Leg end librational motion line joining literature on satellite longitudinal motion main body momentum motion are suitable nutational motion orbit there result Orbital and Precessional orbital motions orbital plane defined order of approximation perturbation point masses precession precessional libration precessional motion rigid dumbbell satellite satellite motion satellite with principal satellite's center solution of equation Sonine cylinder function space beam substituting equation Supposing a point terms of Leg three degrees three equations