Symétries du problème des n corps, regularisation des solutions centrales singulières.

Details Symétries du problème des n corps, regularisation des solutions centrales singulières. Symétries du problème des n corps, regularisation des solutions centrales singulières.

Apr 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..55..369e&link_type=abstract

Celest. Mech. Dyn. Astron., Vol. 55, No. 4, p. 369 - 386

Astronomy and Astrophysics

Astronomy

Scientific paper

The Newtonian problem of n mass point bodies is invariant with respect to several changes of spatio-temporal variables. These symmetries correspond to arbitrary choices of the referential and they are related via Noether's theorem or by its generalization to conservative quantities of the motion. For n = 2 the author has defined two families of symmetries S1 and S2 changing the eccentricity of a solution. The extension is easily made to central solutions of the n-body problem because involving several synchronous two-body problems. The author considers for exposition the case n = 3.

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