Trajectory Optimization for Spacecraft Using a Second-Order Gauss Pseudo Spectral Method

Trajectory Optimization for a Multistage Launch Vehicle Using Nonlinear Programming

This work is an example of application of nonlinear programming to a problem of three-dimensional trajectory optimization for multistage launch vehicles for geostationary orbit missions. The main objective is to minimize fuel consumption or equivalently to maximize the payload. The launch vehicle considered here, Europa-II, consists of 5 thrust phases and 2 coast phases. Major parameters of the...

Finite-Thrust Trajectory Optimization Using a Combination of Gauss Pseudospectral Method and Genetic Algorithm

A Second-Order Gradient Solver using a Homotopy Method for Space Trajectory Problems

Recent developments in low-thrust trajectory optimization methods have shown that second-order gradient techniques can be e cient. Robust second-order methods allow one to solve complex dynamical problems, accounting for perturbations, and path constraints, with high delity. Convergence of the method, however, requires a very good initial guess, or a lot of user experience. Based on a quadratic...

Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method

The recognition and the calculation of all branches of solutions of the nonlinear boundary value problems is difficult obviously. The complexity of this issue goes back to the being nonlinearity of the problem. Regarding this matter, this paper considers steady state reactive transport model which does not have exact closed-form solution and discovers existence of dual or triple solutions in so...

Nonplanar Trajectory Optimization with Variable Specific Impulse Engine Using Gauss Pseudospectral Method

Nonplanar trajectory optimization problem with advanced variable specific impulse magnetoplasma rocket (VASIMR) engine is studied. A newly developed method called Gauss Pseudospectral method is applied to the nonplanar trajectory optimization problem with VASIMR engine. Three representative trajectory optimization problems are solved. The first is an orbit raising problem from LEO to GEO; the s...