PDF document - Orbital and Celestial Mechanics Website

It will also display the actual declination of the asymptote and stop. The user should then edit the inputfile, include a valid orbital inclination and restart the simulation.The following computational steps summarize the calculation of the predicted B-plane vector from amoon-centered position vector r and velocity vector v at closest approach.angular momentum vector h r vradius ratesemiparameterr r v r2ph rsemimajor axis a 2rv 2 orbital eccentricity e 1p atrue anomalyprcos sinerrhe1 tan sin ,cosB-plane magnitude B p afundamental vectorsr rz ˆ v r pˆ cosrˆsinz ˆ qˆ sinrˆcoszˆhS vectorB vectorT vectora bS pˆ q ˆ2 2 2 2a b a b2b abB pˆ q ˆ2 2 2 2a b a bT 2 2y x2 2x yS , S,0 TS SR vector R S T SzTy, SzTx,SxTy SyTxTargeting to the Selenocentric Periapsis Radius and Orbital InclinationFor this targeting option, the equality constraints enforced by the nonlinear programming algorithm areTpage 24