Relative Equilibrium in the Three-Body Problem with a Rigid Body

Details Relative Equilibrium in the Three-Body Problem with a Rigid Body Relative Equilibrium in the Three-Body Problem with a Rigid Body

Nov 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..69..293f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 69, Issue 3, p. 293-315 (1997).

Astronomy and Astrophysics

Astronomy

2

Relative Equilibrium, Three-Body Problem, Rigid Body, Oblate Ball, Elongated Ball, Relative Equilibrium, Three-Body Problem, Rigid Body, Oblate Ball, Elongated Ball

Scientific paper

In the three-body problem, where two bodies are punctual and the third is rigid, we prove the existence of some relative equilibrium configurations where the rigid body is either an homogeneous ball, an oblate or an elongated ball. In particular, we found conditions of relative equilibrium of Euler and Lagrange type and several families of relative equilibrium configurations, where the triangle of the two punctual bodies and the mass center of the rigid body is isosceles or having unequal sides.

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