This paper describes the development of a rapid local optimizer for minimumfuel impulsive transfers in multibody and higher order gravity systems. ThisSequential Convex Programming process involves solving approximate convexproblems and using differential correction to restore continuity. State transitionmatrices of arcs in the nonlinear system are used to derive the linear equalityconstraints and convex cost function of the approximation. Dynamic trust regionsand other constraints are also shown to be convex. The exact solution ofthe resulting subproblem is found using existing convex solvers. Performanceis compared to existing methods and is seen to be fast and robust.
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