Flat_Moon
Flat_Moon | |
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Contributor: | J.R. Cash, Davy Hollevoet, F. Mazzia, A. N. Abdo |
Discipline: | Aerospace |
Accession: | 2014 |
Short description:
This problem is about the optimal-time launching of a satellite into orbit from flat Moon without atmospheric drag.
Applicable solvers:
twpbvpc,twpbvplc,colsys,colnew,bvp_m2
Plots of the solution <- click to generate the plots of the solution and the textual output
Mathematical description:
We consider
as a constant.
We need to find the control variable . in order to minimize:
subject to:
with initial conditions:
and final conditions
We define this problem with:
and obtaining the matrix:
with . We consider the equation .
The boundary conditions are obtained from:
Download:
- Fortran code: Flat_Moon.f
- matlab code:
- R code: Flat_Moon.R
References
James M Longuski, José J. Guzmán, John E. Prussing Optimal Control with Aerospace Applications, Springer,