Surface fitting of three-dimensional closed solutions of the restricted three-body problem

Details Surface fitting of three-dimensional closed solutions of the restricted three-body problem Surface fitting of three-dimensional closed solutions of the restricted three-body problem

Aug 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..57..499k&link_type=abstract

Astrophysics and Space Science, vol. 57, no. 2, Aug. 1978, p. 499-509.

Astronomy and Astrophysics

Astrophysics

Curve Fitting, Orbit Calculation, Surface Geometry, Three Body Problem, Astrodynamics, Least Squares Method, Numerical Integration

Scientific paper

The orbits of a family of three-dimensional periodic orbits in the restricted problem of three bodies form a surface. In this paper the equation of this surface is determined in the case of the orbits of double symmetry of the family which emanate from the equilibrium point L1. This equation is obtained numerically by a least-squares approximation method.

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