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Properties of New Coordinates for the General Three-Body Problem

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Abstract

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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References

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Authors and Affiliations

  1. Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, P. O. Box 55 534, Mexico, D. F., 09340, Mexico

    E. Piña & L. Jiménez-Lara

Authors
  1. E. Piña
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  2. L. Jiménez-Lara
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Piña, E., Jiménez-Lara, L. Properties of New Coordinates for the General Three-Body Problem. Celestial Mechanics and Dynamical Astronomy 82, 1–18 (2002). https://doi.org/10.1023/A:1013865801564

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  • DOI: https://doi.org/10.1023/A:1013865801564

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