## A unified form of Lambert's theorem |

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2mrr algorithm for finding AUXILIARY FORMULAS careful derivation center of attraction central force field classical form cosh y/2 Detailed sketches dT/dx E. R. Lancaster eccentric anomaly elliptic motion Equation 22 Equations 9 find the semimajor form of Lambert's formula developed given for T(x Goddard Space Flight Greenbelt hand derivative hyperbolic including the multirevolution independent variable inequalities for Equations inverse-square central force involves the selection key idea involves Lambert's equations Lambert's problem Lambert's theorem Lancaster and R. C. left-hand derivative monotonic function orbit determination parabolic orbits parabolic transfer parameter q depends particle pendent variable Performing Organization periapsis plane of motion position vectors quantities associated qz(s R. C. Blanchard region of Figure semilatus rectum semimajor axis sign of q sin2 single-valued function sinh solved Space Flight Center Substituting Equation 16 transfer orbit two-body Unclassified UNIFIED FORM unit vector valid for elliptic value of q