Normalisation des systèmes linéaires canoniques et application au problème restreint des trois corps

Details Normalisation des systèmes linéaires canoniques et application au problème restreint des trois corps Normalisation des systèmes linéaires canoniques et application au problème restreint des trois corps

Mar 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970cemec...3..129r&link_type=abstract

Celestial Mechanics, Volume 3, Issue 1, pp.129-140

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8

Scientific paper

An algorithm is given for normalizing conservative linear Hamiltonian systems. This one generalizes Siegel's method to the cases where the eigenvalues are multiple. We obtain by a canonical transformation a normal form of two blocks, one of which is the upper Jordan form, and the other, the lower Jordan form. We select real solutions from the solutions of these equations, and we apply the result to the restricted three body problem in the vicinity of the triangular points for Routh's critical mass ratio.

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