Orbit Perturbations Due to an Axi-Symmetric Gravitational Field, Analyzed Over Extended Periods of Time
DEFENCE RESEARCH AGENCY FARNBOROUGH (UNITED KINGDOM) AEROSPACE DIV
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The authors untruncated orbital theory for perturbations due to the Earths zonal harmonics, previously developed to cover all terms associated with j sub 2sq and J sub l, is being extended to cover the secular and long-periodic effects associated with J sub 2cm and J sub 2J sub l. If J sub 2 and J sub l l 2 are regarded as first-order and second-order respectively, this means that formal third-order errors will no longer build up to second order over a time scale of order up to 1J sub 2 in angular measure. The extended theory has been partially checked out for an earth model involving just J sub 2 and J sub 3.
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