Normal Forms for Real Linear Hamiltonian Systems with Purely Imaginary Eigenvalues

Details Normal Forms for Real Linear Hamiltonian Systems with Purely Imaginary Eigenvalues Normal Forms for Real Linear Hamiltonian Systems with Purely Imaginary Eigenvalues

Jan 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec...8..435b&link_type=abstract

Celestial Mechanics, Volume 8, Issue 4, pp.435-443

Computer Science

10

Scientific paper

This note gives a concise algorithm for computing a normal form for a real linear Hamiltonian differential equatin which has purely imaginary eigenvalues. This algorithm is then applied to the differential equation which comes from the quadratic terms of the Hamiltonian of the restricted three body problem at a Lagrange equilateral triangle equilibrium point.

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