Orbits and Propagators - AGI

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Diseño de Vehículos Espaciales 1DVE1‐T07‐34UNon‐spherical gravity• An representation in spherical harmonics is used to define a general gravityfield of a massive body:nn n RE REr, ,1 JnPn, 0cos Cn,mcos m Sn,msin m Pn, mcos rn2 rm1r • J, S and C are dependant upon the mass distribution of the central body, and are latitude and longitude, and P n,m are Associate Legendre Functions.J2 dominates by FAR
Diseño de Vehículos Espaciales 1DVE1‐T07‐35Regression of Line of Nodes• The bulge produces a torque that rotates the angular momentum vector. Forprograde (i < 90°), theorbit itself rotates tt to thewest. t• Ifweignore everything except J 2 , the regression is approximated as: Jn 20 t tO[J]3 RE nJ22 a3aJ202cosi22 1 e 2= mean motion
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Orbits and Propagators - AGI

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