Mathematics
Scientific paper
Jul 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976stin...7713112e&link_type=abstract
Unknown
Mathematics
Correction, Geopotential, Orbit Perturbation, Synchronous Satellites, Anik 3, Harmonics, Mathematical Models, Orbital Elements, Stationary Orbits, Stationkeeping, Symphonie Satellites
Scientific paper
The plane elements of a geosynchronous orbit are submitted to different perturbations. The most important are those caused by geopotential harmonics. A simple model describing their effect in the vicinity of any prescribed orbital location was developed. This gives a first approach to the stationkeeping correction philosophy in terms of the different orbital locations; however, an operational tool cannot be obtained from this method, for lunar-solar effects can no longer be neglected. Moreover the analysis is not valid in the vicinity of the equilibrium points. At that time a switch occurs in the order of magnitude of the perturbations. This fact was noticed in the case of Symphony (unstable equilibrium at 11 deg 5 East) and Anik 3 (stable equilibrium at 104 deg East).
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