Wolfram Demonstrations Project
7709

Moon Landing Simulation

This Demonstration simulates the descent of a spaceship on the Moon for different values of the initial parameters. Minimizing the fuel consumed leads to an optimal control problem solved by applying Lagrange's principle and Pontryagin's maximum principle. is the total time of descent, is the time before starting the engine, and is the time the engine is on.

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DETAILS

References:
V. A. Ungureanu, Mathematical Programming, Chişinău: CEP USM, 2001 (in Romanian).
V. M. Alexeev, Optimization Problems, Moscow: Nauka, 1984 (in Russian).
A. M. Letov, The Mathematical Theory of Optimal Processes, Moscow: Nauka, 1981 (in Russian).
E. B. Li, Fundamentals of the Theory of Optimal Control, Moscow: Nauka, 1972 (in Russian).
L. S. Pontryagin, Maximum Principle for Optimal Control, Moscow: Nauka, 1989 (in Russian).

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"Moon Landing Simulation" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/MoonLandingSimulation/
Contributed by: Valeriu Ungureanu and Alexandru Brega

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