Path: Orbit/OrbitMechanics
% Solves the Lambert time of flight problem using Battin's method. Type LambertTOF for a demo -------------------------------------------------------------------------- Form: [vT, a, p, tol] = LambertTOF( r1, r2, dT, orbitType, mu, tol, maxIter ) -------------------------------------------------------------------------- ------ Inputs ------ r1 (3,1) Initial position vector r2 (3,1) Final position vector dT (1,1) Time between position 2 and 1 (s) orbitType (1,:) 'direct' (1) or 'retrograde' (-1)* mu (1,1) Gravitational parameter* tol (1,1) Desired tolerance [1e-10]* maxIter (1,1) Maximum number of iterations [20]* * optional ------- Outputs ------- vT (3,2) Transfer velocity at beginning and end of the transfer ellipse a (1,1) Semi-major axis of the trajectory p (1,1) The parameter for the orbit tol (1,1) Achieved tolerance -------------------------------------------------------------------------- Reference: Battin, R. H. "An Introduction to the Mathematics and Methods of Astrodynamics", AIAA Education Series. Vallado, D. A. Fundamentals of Astrodynamics and Applications. --------------------------------------------------------------------------
Common: General/DispWithTitle Math: Linear/Cross Math: Linear/Unit
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