2009
DOI: 10.1134/s0010952509050128
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One optimization problem for trajectories of spacecraft rendezvous mission to a group of asteroids

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Cited by 9 publications
(3 citation statements)
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“…Russell [139] simplified the low-thrust transfer trajectory problem to only a few parameters through the primer vector theory and calculus of variations. Grigoriev et al [140,141] derived the first-order optimal necessity conditions for complex dynamic models and complex interior point constraints. They also introduced the complementary relaxation and rigidity conditions into inequality constraints.…”
Section: Figure 15: Optimal Design Approaches Of Low-thrust Trajectorymentioning
confidence: 99%
“…Russell [139] simplified the low-thrust transfer trajectory problem to only a few parameters through the primer vector theory and calculus of variations. Grigoriev et al [140,141] derived the first-order optimal necessity conditions for complex dynamic models and complex interior point constraints. They also introduced the complementary relaxation and rigidity conditions into inequality constraints.…”
Section: Figure 15: Optimal Design Approaches Of Low-thrust Trajectorymentioning
confidence: 99%
“…In total, we consider 1436 near-Earth asteroids in the problem. 2 We constructed the graph of possible flights sequentially, layer by layer. Several first stages are schematically depicted on Fig.…”
Section: The Bush Of Flightsmentioning
confidence: 99%
“…For instance, in choosing promising trajectories we could use the "easy implementability" condition that states that active segments corresponding to impulse impacts during asteroid flybys should be disjoint; these conditions were used in asteroid selection in previous similar competitions [2,3]. However, such conditions would increase the average flight duration between asteroids.…”
Section: Choosing Promising Branchesmentioning
confidence: 99%