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

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

Mar 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994aj....107.1189t&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 107, no. 3, p. 1189-1202

Computer Science

Numerical Analysis

32

Algorithms, Canonical Forms, Gravitational Fields, Integrators, Kinematics, Rigid Structures, Solar Physics, Solar System, Stability, Angular Momentum, Hamiltonian Functions, Many Body Problem, Mapping, Numerical Analysis, Planets, Solar System, Dynamics, Rotation, Structure, Gravity Effects, Motion, Numerical Methods, Timescale, Calculations, Evolution, Stability, Computer Methods, Angular Momentum, Resonance, Celestial Mechanics, Symmetry

Scientific paper

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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