A Unified Form of Lambert's Theorem

AUXILIARY FORMULAS c₁ and c₂ careful derivation center of attraction central force field Circuits classical form cos² cosh y/2 dT/dx E. R. Lancaster eccentric anomaly Equation 22 Equations 9 find the semimajor form of Lambert's given for T(x Goddard Space Flight Greenbelt hand derivative hyperbolic including the multirevolution independent variable inequalities for Equations inverse-square central force key idea involves Lambert's equations Lambert's problem Lambert's theorem Lancaster and R. C. left-hand derivative monotonic function parabolic orbits parabolic transfer parameter q depends particle pendent variable Performing Organization periapsis plane of motion position vectors R. C. Blanchard r₁ r₂ region of Figure semilatus rectum semimajor axis sign of q sin² single-valued function sinh x/2 solved Space Flight Center Substituting Equation 16 t₁ and t₂ UNIFIED FORM unit vector v₁ valid for elliptic value of q XZ qE z-qx α β ΚΕ