Publisher:Pasadena, CA : Jet Propulsion Laboratory, National Aeronautics and Space Administration, 2014
Citation:AIAA Space 2014, San Diego, California, August 5-7, 2014
Abstract:
A procedure for deriving analytic partial derivatives of the Lambert problem is presented. Using the universal, cosine based Lambert formulation; first order partial derivatives of the velocities with respect to the positions and times are developed. Taking advantage of inherent symmetries and intermediate variables, the derivatives are expressed in a computationally efficient form. The added cost of computing these partials is found to be ~10% to ~60% of the Lambert compute cost. The availability of analytic partial derivatives increases optimization speed, efficiency and allows for trajectory optimization formulations that implicitly enforce continuity constraints via embedded Lambert problems.