The stability of the triangular points in the elliptic restricted problem

Details The stability of the triangular points in the elliptic restricted problem The stability of the triangular points in the elliptic restricted problem

Jan 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..23...89m&link_type=abstract

Celestial Mechanics, vol. 23, Jan. 1981, p. 89-95.

Statistics

Computation

6

Elliptical Orbits, Equations Of Motion, Numerical Stability, Run Time (Computers), Three Body Problem, Differential Equations, Orbital Mechanics, Triangulation

Scientific paper

Results are given for the stability regions in the mu-e plane of the triangular points in the elliptic restricted three-body problem. This has been done by using the two independent second-order sets of equations, as derived by Tschauner (1971). A new property is being used in the numerical computation, which saves up more than 50% of computer time and is also applicable to the fourth order system. One of Tschauner's (1974) transition curves (derived from analytic approximations) didn't show up here. This seems to confirm Danby's result (1964) that the e axis is a transition curve.

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