21st Congress of International Council of the Aeronautical Sciences, Melbourne, Australia, 13-18 September, 1998
Paper ICAS-98-1.3.3


OPTIMIZATION OF SPACE SYSTEM LAUNCHING WITH LIMITATIONS ON FALL ZONES FOR SPENT COMPONENTS

Filatyev A. S., Yanova O. V.
TsAGI, Russia

Keywords: space system launching, fall zones, spent components

The problem of optimization of multistage launcher ascent taking account return of spent components to specified fall zones is considered. The topicality of revising nominal ascent trajectories stems from the necessity of reduction of ecological aftereffects of dropping spent components especially when diverse launchers are used for wide nomenclature of payloads in conditions of the contraction of the alienation areas. The solution is based on the employment of the indirect optimization method of the type of the Pontryagin's maximum principle for branched trajectories. A good convergence of boundary problem solutions is practically invariant with an initial approximation choice owing to the application of the numerical quasi-Newtonian procedure together with parameter continuation and local extremal selection methods. The approach is realized in the automated program complex "ASTER". It is proven that the restrictions on spent component fall zones result in a qualitative restructure of the optimal thrust-vector control and in appearance of several local extremals. Some numerical examples are given as concerns optimal injection trajectories with restrictions on fall zones for spent boosters and a nose cover. The possibility of reducing considerably alienation zones for a wide range of orbits to be served with minimum reduction in payloads injected is shown.


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