Properties of New Coordinates for the General Three-Body Problem

Details Properties of New Coordinates for the General Three-Body Problem Properties of New Coordinates for the General Three-Body Problem

Jan 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cemda..82....1p&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 82, Issue 1, p. 1-18 (2002).

Astronomy and Astrophysics

Astronomy

1

Three-Body Problem, New Coordinates, Small Oscillation

Scientific paper

This is an analysis of the features of the new coordinate system given by the principal axes of inertia, as determined by Euler angles, and twodistances related to the inertia principal moments and an auxiliar angleas coordinates, for studying the general three-body problem, interactingthrough gravitational forces. The reduction of order is performed in these new coordinates by using the angular velocity vector or the Euler angles. The Eulerian case of collinear motion is revisited from our own perspective. The value of the auxiliar angle is computed for the Sun-Earth-Moon system.

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