Comparison of Fixed and Variable Time Step Trajectory Integration Methods for Cislunar Trajectories

Author:: Thrasher, Stephen W.
Published:: [2007].
Physical Description:: 1 electronic document
Additional Creators:: Weeks, ichael W.

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Summary:

Due to the nonlinear nature of the Earth-Moon-Sun three-body problem and non-spherical gravity, CEV cislunar targeting algorithms will require many propagations in their search for a desired trajectory. For on-board targeting especially, the algorithm must have a simple, fast, and accurate propagator to calculate a trajectory with reasonable computation time, and still be robust enough to remain stable in the various flight regimes that the CEV will experience. This paper compares Cowell s method with a fourth-order Runge- Kutta integrator (RK4), Encke s method with a fourth-order Runge-Kutta- Nystr m integrator (RKN4), and a method known as Multi-Conic. Additionally, the study includes the Bond-Gottlieb 14-element method (BG14) and extends the investigation of Encke-Nystrom methods to integrators of higher order and with variable step size.

Other Subject(s):

Numerical Analysis

Collection:

NASA Technical Reports Server (NTRS) Collection.

Note:

Document ID: 20070003688.
17th AAS/AIAA Space Flight Mechanics Conference; 28 Jan. - 1 Feb. 2007; Sedona, AZ; United States.

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