On an analytical solution of the optimum trajectory problem in a gravitational field

DOI10.1007/BF01238922zbMath0602.70017OpenAlexW1997079566MaRDI QIDQ3738635

A. G. Azizov, N. A. Korshunova

Publication date: 1986

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01238922

zbMATH Keywords

analytical solutionfirst integralsMayer's variational problemclosed canonical formdifferential equations of the fourteenth orderintermediate thrustmaximum thrust sectionsoptimum trajectory problemzero thrust section

Mathematics Subject Classification ID

Hamilton's equations (70H05) Statics (70C20)

Related Items (4)

Finding analytic solutions on active arcs of the optimal trajectory in a gravitational field and their applications ⋮ Analytic solutions for intermediate-thrust arcs of rocket trajectories in a Newtonian field ⋮ Unnamed Item ⋮ Active rocket trajectory arcs: a review

Cites Work

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• A short note on Hamiltonians linear in the momenta
• Constants of the motion for optimum thrust trajectories in a central force field
• Fifth and sixth integrals for optimum rocket trajectories in a central field

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