Euler solutions in the problem of translational-rotational motion of three rigid bodies

Details Euler solutions in the problem of translational-rotational motion of three rigid bodies Euler solutions in the problem of translational-rotational motion of three rigid bodies

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..16..509v&link_type=abstract

Celestial Mechanics, vol. 16, Dec. 1977, p. 509-526. In Russian.

Physics

5

Euler Equations Of Motion, Rigid Structures, Rotating Bodies, Three Body Problem, Translational Motion, Differential Equations, Gravitational Effects, Mass Distribution, Symmetry

Scientific paper

The existence of Euler (rectilinear) solutions to the problem of the translational-rotational motion of three rigid bodies under the action of Newtonian gravitation is demonstrated. The bodies also have three mutually perpendicular planes of symmetry with respect to both external form and mass distribution. Solutions of the types 'three floats', 'three spokes', and 'three arrows', along with combinational cases, are found.

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