Z-solutions to the restricted, symmetric, spatial three-body problem

Details Z-solutions to the restricted, symmetric, spatial three-body problem Z-solutions to the restricted, symmetric, spatial three-body problem

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985pazh...11..227g&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 11, Mar. 1985, p. 227-230) Soviet Astronomy Letters (ISSN 0360-0327), vol. 11, Mar.-Apr

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Three Body Problem, Differential Equations, Equations Of Motion, Integral Equations

Scientific paper

A two-parameter family of z-solutions is found for the restricted three-dimensional problem of three bodies, such that at all real times (t) the nongravitating mass point (P) will move along the Oz axis, normal to the plane of the gravitating points. The canonical elliptic integrals for the three bodies are given in an integrofunctional equation.

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