Calculation of the characteristics exponents for a triple collision in an equilateral three-body problem configuration

Details Calculation of the characteristics exponents for a triple collision in an equilateral three-body problem configuration Calculation of the characteristics exponents for a triple collision in an equilateral three-body problem configuration

Dec 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981crasb.293.1069n&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie II - Mecanique, Physique, Chimie, Sciences de l'Univers, Sciences de la Ter

Physics

Curvature, Exponents, Three Body Problem, Collisions, Lagrange Coordinates, Lagrangian Equilibrium Points

Scientific paper

Appropriate intrinsic variables are defined for the three-body problem in order to determine the principal radii of curvature for a surface at a point significant to the three-body problem in an equilateral configuration. The curvature is shown to not depend on the masses, while the total curvature is demonstrated to be proportional to a specific symmetrical function. The results are compared to a study by Siegel (1941) to derive the symmetric function.

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