Mathematics
Scientific paper
Dec 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986esasp.255..361f&link_type=abstract
In ESA Proceedings of the Second International Symposium on Spacecraft Flight Dynamics p 361-364 (SEE N87-25354 19-18)
Mathematics
7
Canonical Forms, Orbit Calculation, Orbital Mechanics, Transformations (Mathematics), Harmonic Oscillators, Orbit Perturbation, Polynomials, Two Body Problem
Scientific paper
A canonical transformation which is useful to describe the orbital motion of a particle, and involves redundant variables is presented. It is shown that it shares interesting properties with the KS transformation. When the perturbation comes from the oblateness of the primary body, it seems reasonable to use the canonical equations, because their right hand parts result in polynomial expressions. In any case, it can be used to reduce the two body problem to four harmonic oscillators. Their common frequency is equal to one if a new time coincident with the true anomaly is used. This transformation could be used as an alternative method for an efficient calculation of orbits.
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