Regular equations for the three-dimensional problem of two bodies

Details Regular equations for the three-dimensional problem of two bodies Regular equations for the three-dimensional problem of two bodies

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984izssr......151c&link_type=abstract

Akademiia Nauk SSSR, Izvestiia, Mekhanika Tverdogo Tela (ISSN 0572-3299), Jan.-Feb. 1984, p. 151-158. In Russian.

Mathematics

Body Kinematics, Coordinate Transformations, Equations Of Motion, Quaternions, Three Dimensional Motion, Two Body Problem, Celestial Mechanics, Differential Equations, Hamiltonian Functions, Points (Mathematics)

Scientific paper

Hamilton's quaternion formalism and the quaternion form of the differential equations of motion for a material point are used in developing an approach to regularization without the use of KS variables. This approach presents a clear kinematic interpretation of the regularization transformation, revealing the geometric sense of its nonuniqueness, and permitting more general regular equations for the three-dimensional problem of two bodies.

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