Solution Based on Dynamical Approach for Multiple-Revolution Lambert Problem

摘要

THE classical Lambert problem deals with determination of thentransfer velocity vector at an initial position to reach a finalnposition in the specified time of flight. The multiple-revolutionnLambert problem (MRLP) results when the interception takes placenafter completing one or more revolutions around the central body. Innthe case of the classical Lambert problem, the angular displacementnbetween two positions is between 0 and 2u0001, while for the MRLP, itnexceeds 2u0001. The total time of flight for theMRLP with N revolutionsnis the sumofN times the period of transfer orbit and the direct time ofnflight. There exists a total of 2N u0001 1 solutions for N completenrevolutions.Asimple algorithmto solve theMRLP is of great interestnfor spacecraft interception, rendezvous, and interplanetary transfer.nThe MRLP approach allows a larger navigational flexibility andnresults in lower energy orbits than the direct transfer arcs.