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Analysis and optimization of cyclic methods in orbit computation
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Pierce, S. |
| Copyright Year | 1973 |
| Description | The mathematical analysis and computation of the K=3, order 4; K=4, order 6; and K=5, order 7 cyclic methods and the K=5, order 6 Cowell method and some results of optimizing the 3 backpoint cyclic multistep methods for solving ordinary differential equations are presented. Cyclic methods have the advantage over traditional methods of having higher order for a given number of backpoints while at the same time having more free parameters. After considering several error sources the primary source for the cyclic methods has been isolated. The free parameters for three backpoint methods were used to minimize the effects of some of these error sources. They now yield more accuracy with the same computing time as Cowell's method on selected problems. This work is being extended to the five backpoint methods. The analysis and optimization are more difficult here since the matrices are larger and the dimension of the optimizing space is larger. Indications are that the primary error source can be reduced. This will still leave several parameters free to minimize other sources. |
| File Size | 706268 |
| Page Count | 24 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19730022827 |
| Archival Resource Key | ark:/13960/t08w85z78 |
| Language | English |
| Publisher Date | 1973-02-01 |
| Access Restriction | Open |
| Subject Keyword | Problem Solving Errors Numerical Integration Optimization Differential Equations Orbit Calculation 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 |
