The bifurcation of periodic orbits of the planar circular restricted N-body problem to the three-dimensional general N-body problem

Details The bifurcation of periodic orbits of the planar circular restricted N-body problem to the three-dimensional general N-body problem The bifurcation of periodic orbits of the planar circular restricted N-body problem to the three-dimensional general N-body problem

Sep 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..58..125m&link_type=abstract

Astrophysics and Space Science, vol. 58, no. 1, Sept. 1978, p. 125-129.

Astronomy and Astrophysics

Astrophysics

3

Many Body Problem, Orbital Mechanics, Three Body Problem, Angular Momentum, Cartesian Coordinates, Circular Orbits, Euler-Lagrange Equation, Gravitational Constant, Lagrangian Equilibrium Points, Orbit Perturbation

Scientific paper

It is proved that the vertical critical orbits of the planar circular
restricted three-body problem can be used as starting points for finding
periodic orbits of the three-dimensional general N-body problem. A
numerical example is given

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