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Optimal rendezvous with constraints on circular and elliptical orbits - MaRDI portal

Optimal rendezvous with constraints on circular and elliptical orbits (Q2746121)

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scientific article; zbMATH DE number 1655538
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English
Optimal rendezvous with constraints on circular and elliptical orbits
scientific article; zbMATH DE number 1655538

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    27 February 2002
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    circular orbit
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    elliptic orbit
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    optimum rendezvous
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    space vehicles
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    minimum fuel consumption
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    two-point boundary value problem
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    Legendre-Clebsch condition
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    Optimal rendezvous with constraints on circular and elliptical orbits (English)
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    The author studies the optimum rendezvous of two space vehicles moving on a circular and elliptical orbits with the minimum fuel consumption. The problem of optimizing the control is transformed to a two-point boundary value problem, and by means of Legendre-Clebsch condition is proved to provide the minimum. The results are compared with results obtained by numerical methods.
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