Delaunay normalisations

Details Delaunay normalisations Delaunay normalisations

Jan 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..26....9d&link_type=abstract

(Conference on Analytical Methods and Ephemerides: Theory and Observations of the Moon and Planets, Namur, Belgium, July 28-31,

Mathematics

Representation Theory

26

Eccentric Orbits, Kepler Laws, Normalizing, Orbit Perturbation, Perturbation Theory, Power Series, Artificial Satellites, Lie Groups, Paradoxes, Satellite Perturbation, Three Body Problem

Scientific paper

Too many terms are generated by a Delaunay normalisation when the perturbation is developed in powers of the eccentricity. Ways of bypassing the expansion are discussed. There are (1) Brouwer's method of implicit variables; (2) the preparation by canonical transformations; and (3) the application of representation theory for Lie algebras. Illustrations of the techniques are drawn from the main problem of satellite theory and from the (1-1) resonance at the triangular equilibrium in the restricted problem of three bodies.

Affiliated with

Also associated with

No associations

Rating

Delaunay normalisations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Delaunay normalisations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Delaunay normalisations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1456205