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An analysis and comparison of several trajectory optimization methods
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Lewallen, J. M. |
| Copyright Year | 1971 |
| Description | The sensitivities of the convergence characteristics of the methods to initially assumed parameters and trial solution, convergence times, computer logic, and storage requirements are discussed. Numerical comparison of the convergence characteristics is made by considering a minimum time, low thrust, Earth-Mars transfer trajectory. A modified quasi-linearization method reduces convergence time by approximately 70% when compared with the generalized Newton-Raphson method and allows the terminal boundary to be specified by a general function of the problem variables. A uniquely specified and easily determined, time dependent weighting matrix for the gradient techniques accelerates the shaping of the optimal control program and improves the convergence characteristics during the terminal iterations. Convergence envelopes, indicating how sensitive the convergence characteristics are to initially assumed parameters, are plotted for the perturbation and quasi-linearization methods. Several iteration schemes are proposed which increase the size of the convergence envelopes and decrease the sensitivity of the method to initially assumed parameters. |
| File Size | 8173015 |
| Page Count | 252 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19720006176 |
| Archival Resource Key | ark:/13960/t2r54cx02 |
| Language | English |
| Publisher Date | 1971-11-01 |
| Access Restriction | Open |
| Subject Keyword | Space Sciences Interplanetary Trajectories Iterative Solution Spacecraft Trajectories Steepest Descent Method Nonlinearity Perturbation Newton-raphson Method Trajectory Optimization Convergence Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
