Français
1. Problem formulation
This section formulates the hybrid optimal control problem for both trajectory and thrust profile. Optimality conditions are then expressed by applying the Pontryaguin Maximum Principle (PMP).
1.1 Optimum control problem
We're looking for the trajectory with minimum consumption for a launcher's last stage to reach an orbit from given initial conditions. The vehicle is considered as a material point, and the trajectory takes place outside the atmosphere. The dynamic equations in a geocentric inertial reference frame are as follows:
The Ultimate Scientific and Technical Reference
This article is included in
Aerospace systems
This offer includes:
Knowledge Base
Updated and enriched with articles validated by our scientific committees
Services
A set of exclusive tools to complement the resources
Practical Path
Operational and didactic, to guarantee the acquisition of transversal skills
Doc & Quiz
Interactive articles with quizzes, for constructive reading
Problem formulation
Analytical solution
Bibliography
The Ultimate Scientific and Technical Reference
