Analytic solutions for intermediate-thrust arcs of rocket trajectories in a Newtonian field
type: Item
instance of: scholarly article
title: Analytic solutions for intermediate-thrust arcs of rocket trajectories in a Newtonian field
zbMATH Open document ID: 0900.70108
DOI: 10.1016/S0021-8928(96)00053-6
author: D. M. Azimov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1998-08-19T00:00:00Z
review text: Mayer's variational problem of determining the optimum trajectories of a rocket moving with constant exhaust velocity and bounded mass flow rate in a Newtonian field is considered. New analytic solutions are obtained for plane intermediate-thrust arcs, using the canonical system of equations of the variational problem and the properties of the switching function. These solutions represent certain spiral trajectories. In motion with a fixed time, at arbitrary angular distances, these solutions satisfy Robbins' necessary optimum condition. As an example, the problem of minimizing the characteristic velocity of flight between elliptic orbits is considered.
Mathematics Subject Classification ID: 70E15
Mathematics Subject Classification ID: 70M20
zbMATH DE Number: 1080158
zbMATH Keywords: Mayer's variational problem
zbMATH Keywords: optimum trajectories
zbMATH Keywords: switching function
zbMATH Keywords: spiral trajectories
zbMATH Keywords: Robbins' necessary optimum conditions
zbMATH Keywords: elliptic orbits
MaRDI profile type: Publication
cites work: Q3846809
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cites work: A supplement to Lawden's theory
cites work: Quasilinearization determination of optimum finite-thrust orbital transfers.
description: scientific article; zbMATH DE number 1080158