Importance of the Coupling Effects Between Earth Potential Harmonics in the Motion of an Artificial Satellite. Computed and Checked Solution of This Coupling Problem. The Case of J7
The “coupling” effect arising from the simultaneous presence of different harmonics can be great compared with the direct effect of the harmonics. The coupling effect J2–J7 is very significant. Theoretical, numerical and graphic studies have demonstrated this importance and given the reason for it. We have expressed literally the coupling expressions for the zonal and tesseral, nonresonant, harmonics (development of coupling equations, integration, verification by analytical-numerical comparisons, studies of the form and properties of the terms...). We indicate which coupling effects must be considered for a good representation of the motion of any satellite, and for the determination of zonal harmonics. All this has been done and has been established by computer checking.
KeywordsAnalytical Theory Coupling Effect Coupling Term Secular Term Artificial Satellite
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