Optimal spacecraft trajectories via higher order differential inclusions

V. Coverstone-Carroll, C. A. Hartman, A. L. Herman, David Bradley Spencer

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Higher order differential inclusion (HODI) is a new modeling technique that is applied to the modeling and optimization of spacecraft trajectories. The spacecraft equations-of-motion are mathematically manipulated into differential constraints that remove explicit appearance of the control variables (e.g., thrust direction and magnitude) from the problem statement. These constraints are transformed into a nonlinear programming problem by using higher order approximations of the derivatives of the states. In this work, the new method is first applied to a simple example to illustrate the technique and then to a three-dimensional, propellant-minimizing, Low-Earth-Orbit to Geosynchronous-Earth-Orbit spacecraft transfer problem. Comparisons are made with results obtained using an established modeling technique.

Original languageEnglish (US)
Pages (from-to)377-395
Number of pages19
JournalAdvances in the Astronautical Sciences
Volume102 I
StatePublished - Dec 1 1999

Fingerprint

spacecraft trajectories
Spacecraft
variable thrust
spacecraft
trajectory
Trajectories
inclusions
nonlinear programming
geosynchronous orbits
Earth orbits
propellants
low Earth orbits
Orbits
Earth (planet)
modeling
equations of motion
Nonlinear programming
Propellants
optimization
Equations of motion

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Coverstone-Carroll, V. ; Hartman, C. A. ; Herman, A. L. ; Spencer, David Bradley. / Optimal spacecraft trajectories via higher order differential inclusions. In: Advances in the Astronautical Sciences. 1999 ; Vol. 102 I. pp. 377-395.
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Coverstone-Carroll, V, Hartman, CA, Herman, AL & Spencer, DB 1999, 'Optimal spacecraft trajectories via higher order differential inclusions', Advances in the Astronautical Sciences, vol. 102 I, pp. 377-395.

Optimal spacecraft trajectories via higher order differential inclusions. / Coverstone-Carroll, V.; Hartman, C. A.; Herman, A. L.; Spencer, David Bradley.

In: Advances in the Astronautical Sciences, Vol. 102 I, 01.12.1999, p. 377-395.

Research output: Contribution to journalArticle

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