A LINEAR CORRECTION APPROACH FOR PRECISION INTERPLANETARY TRANSFER TRAJECTORY DESIGN

摘要

The iteration process may not converge when linear correction is applied in precision interplanetary transfer trajectory design. To solve this problem, this paper proposes an improved two-step procedure for precision transfer trajectory design. First, the approximate values of perigee parameters are found using a two-body analysis (lunar missions) or patched conic analysis (Mars missions). Second, the “rope-climbing” algorithm is applied to determine the accurate values of the perigee parameters. The basic idea of the algorithm is to apply a series of linear corrections to solve the targeting problem of a nonlinear dynamic system. Numeric examples show that this procedure works effectively.