Taylor-series integration is a numerical integration technique that computes the Taylor series of state variables using recurrence relations and uses this series to propagate the state in time. A Taylor-series integration reentry integrator is developed and compared with the fifth-order Runge–Kutta–Fehlberg integrator to determine whether Taylor-series integration is faster than traditional integration methods for reentry applications. By comparing the central processing unit times of the integrators, Taylor-series integration is indeed found to be faster for integration without wind and slower with wind, unless the error tolerance is or lower. Furthermore, it is found that reducing step sizes to prevent integration over discontinuities is not only needed for Taylor-series integration to obtain maximum accuracy but also for Runge–Kutta–Fehlberg methods. In that case, the Runge–Kutta–Fehlberg integrator does become several times slower than Taylor-series integration.
Application of Taylor-Series Integration to Reentry Problems with Wind
Journal of Guidance, Control, and Dynamics ; 39 , 10 ; 2324-2335
2016-08-09
12 pages
Article (Journal)
Electronic Resource
English
Application of Taylor-Series Integration to Reentry Problems with Wind
Online Contents | 2016
|Application of Taylor Series Integration to Reentry Problems (AIAA 2016-0024)
British Library Conference Proceedings | 2016
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