Motion of two rigid bodies under the gravitational influence of each other

Details Motion of two rigid bodies under the gravitational influence of each other Motion of two rigid bodies under the gravitational influence of each other

Jan 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978a%26a....62..217b&link_type=abstract

Astronomy and Astrophysics, vol. 62, no. 1-2, Jan. 1978, p. 217-221.

Astronomy and Astrophysics

Astrophysics

4

Binary Stars, Gravitational Effects, Orbital Mechanics, Two Body Problem, Angular Momentum, Center Of Gravity, Equations Of Motion, Moments Of Inertia, Rigid Structures

Scientific paper

The motion of two rigid bodies under mutual gravitational attraction has been studied under the conditions: (1) the inertia ellipsoids of A and B for their respective mass centers are general ellipsoids; (2) either the distance between the mass centers is considerably greater than the greatest dimension of either body, or the ellipticities of the inertia ellipsoids of A and B are small; (3) the angular velocities of A and B in an inertial reference frame R, are initially parallel to one of the principal axes for both the bodies and (4) the mass-centers move in a plane whose orientation is fixed in R. These results can be applied to binary star systems under the given restrictions.

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