Deformation of a line-element in the phase space at the triangular libration point

Details Deformation of a line-element in the phase space at the triangular libration point Deformation of a line-element in the phase space at the triangular libration point

Feb 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..23..131s&link_type=abstract

Celestial Mechanics, vol. 23, Feb. 1981, p. 131-137. NSF-NASA-sponsored research.

Physics

3

Celestial Mechanics, Lagrangian Equilibrium Points, Libration, Line Shape, Projective Geometry, Three Body Problem, Eigenvalues, Equations Of Motion, Kepler Laws, Mapping, Time Dependence

Scientific paper

The flow in the projection of the phase space into the configuration space is presented in the neighborhood of a neutrally (or critically) stable equilibrium point in the restricted problem of three bodies. The projection is a line-element every point of which has zero initial velocity. After the elapse of various times the mapping (the rotations and elongations) of the line-element is described showing chaotic behavior.

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