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Spacecraft Formation Flying by Louis Breger, Jonathan How, Pini Gurfil, Srinivas Rao Vadali, Kyle Alfriend

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F Jacobian for Mean to Osculating Elements

This appendix contains the Jacobian for the mean to osculating transformation. The variables ε1,ε2,ε3si3940_e were defined in Eqs. (E.25)(E.27). The Jacobian Dsi3941_e is defined as

D=œœ¯=IJ2Re2(D(lp)+D(sp1)+D(sp2))

si3942_e  (F.1)

D11(lp)=(1a)a(lp),D12(lp)=D13(lp)=D14(lp)=D15(lp)=D16(lp)=0

si3943_e  (F.2)

D21(lp)=(2a)θ(lp)

  (F.3)

D22(lp

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