Symmetry Properties of Optimal Relative Orbit Trajectories
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The determination of minimum-fuel or minimum-time relative orbit trajectories represents a classical topic in astrodynamics.
This work illustrates some symmetry properties that hold for optimal relative paths and can considerably simplify their determination.
The existence of symmetry properties is demonstrated in the presence of certain boundary conditions for the problems of interest, described by the linear Euler-Hill-Clohessy-Wiltshire equations of relative motion.
With regard to minimum-fuel paths, the primer vector theory predicts the existence of several powered phases, divided by coast arcs.
In general, the optimal thrust sequence and duration depend on the time evolution of the switching function.
In contrast, a minimum-time trajectory is composed of a single continuous-thrust phase.
The first symmetry property concerns minimum-fuel and minimum-time orbit paths, both in two and in three dimensions.
The second symmetry property regards minimum-fuel relative trajectories.
Several examples illustrate the usefulness of these properties in determining minimum-time and minimum-fuel relative paths.
American Psychological Association (APA)
Pontani, Mauro. 2015. Symmetry Properties of Optimal Relative Orbit Trajectories. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1073419
Modern Language Association (MLA)
Pontani, Mauro. Symmetry Properties of Optimal Relative Orbit Trajectories. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1073419
American Medical Association (AMA)
Pontani, Mauro. Symmetry Properties of Optimal Relative Orbit Trajectories. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1073419
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073419