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Time-fixed Rendezvous by Impulse Factoring with an Intermediate Timing Constraint
Richard N. Green
James F. Kibler
George R. Young
出版
National Aeronautics and Space Administration
, 1974
URL
http://books.google.com.hk/books?id=KuDGmQkioogC&hl=&source=gbs_api
註釋
A method is presented for factoring a two-impulse orbital transfer into a three- or four- impulse transfer which solves the rendezvous problem and satisfies an intermediate timing constraint. Both the time of rendezvous and the intermediate time of alinement are formulated as any element of a finite sequence of times. These times are integer multiples of a constant plus an additive constant. The rendezvous condition is an equally constraint, whereas the intermediate alinement is an inequality constraint. The two timing constraints are satisfied by factoring the impulses into collinear parts that vectorially sum to the original impulses and by varying the resultant period differences and the number of revolutions in each orbit. Five different types of solutions arise by considering factoring either or both of the two impulses into two or three parts with a limit of four total impulses. The impulse-factoring technique may be applied to any two-impulse transfer which has distinct orbital periods.