Abstract
The thrust arcs with constant specific impulse can be formed by a low thrust or high thrust propulsion system. New analytical solutions for these arcs regardless the functional of the problem have been derived [112], [113], [114]. In particular, the Lawden spirals are studied in detail and the conclusions are made regarding their existence, optimality and applicability to the problems of space flight mechanics. The necessary conditions of optimality of these solutions, including the presence of conjugate points, are considered. The classification of the thrust arcs depending on the functional of the problem and given time is presented. The discussions of most of the questions considered in this chapter can be found in Ref. [61], [67], [68], [148], [149], [150].
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