On the numerical computation of minimum-fuel, Earth-Mars transfer

Details On the numerical computation of minimum-fuel, Earth-Mars transfer On the numerical computation of minimum-fuel, Earth-Mars transfer

Jul 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jota...22..447o&link_type=abstract

Journal of Optimization Theory and Applications, vol. 22, July 1977, p. 447-453.

Computer Science

Numerical Analysis

1

Earth-Mars Trajectories, Fuel Consumption, Ion Engines, Low Thrust Propulsion, Optimal Control, Rocket Engine Control, Transfer Orbits, Boundary Conditions, Boundary Value Problems, Calculus Of Variations, Computer Programs, Numerical Analysis, Off-On Control, Spacecraft Propulsion

Scientific paper

The minimum-fuel space travel problem for the planar Earth-Mars transfer by a low-thrust ion rocket is considered. The investigation shows that the use of the classical switching function and the natural boundary condition of the Hamiltonian leads to numerical difficulties, caused by the nondifferentiability of the Hamiltonian. It is shown, however, that these difficulties can be overcome by substitution of the switching function and the Hamiltonian condition. The numerical solution by multiple shooting techniques is presented.

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