Integration theory for the restricted problem of three axisymmetric bodies

Details Integration theory for the restricted problem of three axisymmetric bodies Integration theory for the restricted problem of three axisymmetric bodies

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990em%26p...48..243e&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 48, March 1990, p. 243-250.

Other

Ellipsoids, Orbital Mechanics, Three Body Problem, Astronomical Coordinates, Center Of Mass, Equations Of Motion, Iterative Solution

Scientific paper

In this paper the circular planar restricted problem of three axisymmetric ellipsoids S(i) (i = 1, 2, 3), such that their equatorial planes coincide with the orbital plane of the three centers of masses, is considered. The equations of motion of infinitesimal body S(3) are obtained in the polar coordinates. Using iteration approach, an approximation is given for another integral, which is independent of the Jacobian integral, in the case of P-type orbits (near circular orbits surrounding both primaries).

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