Spacecraft Formation Flying

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G Small Eccentricity Theory

This appendix contains the equations for a theory that is valid for small eccentricities. First-order eccentricity terms are included for the terms that do not have $J_{2}$ as a factor. In the terms that include $J_{2}$ the eccentricity is set to zero, i.e., $e = q_{1} = q_{2} = 0$ . The $Σ$ and $Σ^{- 1}$ matrices do not simplify much by retaining only $O$

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