Modern Astrodynamics

6

Space Trajectory Optimization and L¹-Optimal Control Problems

I. Michael Ross     Department of Mechanical and Astronautical Engineering, Naval Postgraduate School, Monterey, CA 93943.

Contents

6.1. Introduction

6.2. Geometry and the mass flow equations

6.3. Cost functions and Lebesgue norms

6.4. Double integrator example

6.5. Issues in solving nonlinear L¹-optimal control problems

6.6. Solving nonlinear L¹-optimal control problems

6.7. L¹-Formulation of the minimum-fuel orbit transfer problem

6.8. A simple extension to distributed space systems

6.9. Conclusions

References

6.1 Introduction

The engineering feasibility of a space mission is overwhelmingly dictated by the amount of propellant required to accomplish it. This requirement ...