Steady-state rotations of a solid body in a periodic orbit near a collinear libration point

Details Steady-state rotations of a solid body in a periodic orbit near a collinear libration point Steady-state rotations of a solid body in a periodic orbit near a collinear libration point

Jun 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979primm..43..411m&link_type=abstract

Prikladnaia Matematika i Mekhanika, vol. 43, May-June 1979, p. 411-418. In Russian.

Physics

Lagrangian Equilibrium Points, Librational Motion, Rotating Bodies, Three Body Problem, Center Of Mass, Collinearity, Differential Equations, Earth-Moon System, Equations Of Motion, Hamiltonian Functions, Lagrange Coordinates, Linearization, Orbital Mechanics

Scientific paper

The analysis deals with the motion of a dynamically symmetric body with respect to the center of mass near a collinear libration point of the restricted circular three-body problem. It is assumed that the periodic orbit of the body's center of mass constitutes an intercept of a line that passes through the libration point and is normal to the plane of rotation of the attracting masses. Two versions of steady rotations are identified in an orbital system of coordinates, and their stability is analyzed in the first approximation.

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