Lagrangian solutions under Weber's law of attraction

Details Lagrangian solutions under Weber's law of attraction Lagrangian solutions under Weber's law of attraction

Feb 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987azh....64..179s&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 64, Jan.-Feb. 1987, p. 179-186. In Russian.

Astronomy and Astrophysics

Astronomy

Euler-Lagrange Equation, Gravitational Effects, Linear Systems, Three Body Problem, Celestial Mechanics

Scientific paper

Particular Lagrangian solutions to the plane circular restricted three-body problem are studied. These solutions are examined under Weber's law of attraction which models the effect of the delay in the gravitational interaction of material bodies. Canonical equations of motion are derived; in the parametric plane, the stability region of the Lagrangian solutions is obtained in the first approximation along with conclusions regarding stability in the strict nonlinear sense.

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