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 10 8 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.


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    Title :

    Application of Taylor-Series Integration to Reentry Problems with Wind


    Contributors:

    Published in:

    Publication date :

    2016-08-09


    Size :

    12 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





    Application of Taylor Series Integration to Reentry Problems

    Bergsma, Michiel / Mooij, Erwin | AIAA | 2016


    Application of Taylor Series Integration to Reentry Problems (AIAA 2016-0024)

    Bergsma, Michiel / Mooij, Erwin | British Library Conference Proceedings | 2016