Perturbations of existing resonant satellites

Details Perturbations of existing resonant satellites Perturbations of existing resonant satellites

Aug 1969

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1969p%26ss...17.1505w&link_type=abstract

Planetary and Space Science, Volume 17, Issue 8, p. 1505-1517.

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Scientific paper

This paper presents an analysis of the resonant perturbations to the 20th degree and order on 83 existing satellites. This analysis reveals that terms of order (m) 2 and 12-14 are well represented by existing resonant satellites. Only a few resonances for the other orders are available. The phenomenon of shallow resonance has also been studied. It is shown that to accurately analyze resonant orbits, considerable attention to calculation of mean mean motion is necessary. Highly accurate formulae to calculate mean mean motion have been derived. The study also shows that for resonant orbits with beat periods less than about 15 days, the frequencies contributed by the terms resonant with an orbit are all nearly the same, making such orbits of limited value for geodesy if considered individually. This situation is aggravated for orbits at or near the critical inclination.

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