1994•The Astronomical JournalRequires access

Lie-Poisson integrators for rigid body dynamics in the solar system

Jihad Touma, Jack Wisdom

Abstract

The n-body mapping method of Wisdom & Holman (1991) is generalized to encompass rotational dynamics. The Lie-Poisson structure of rigid body dynamics is discussed. Integrators which preserve that structure are derived for the motion of a free rigid body and for the motion of rigid bodies interacting gravitationally with mass points.

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Key concepts: Physics, Integrator, Dynamics (music), Classical mechanics, Rigid body dynamics, Poisson distribution, Celestial mechanics, Stellar dynamics