Print Email Facebook Twitter Application of Taylor-Series Integration to Reentry Problems with Wind Title Application of Taylor-Series Integration to Reentry Problems with Wind Author Bergsma, Michiel Mooij, E. (TU Delft Astrodynamics & Space Missions) Date 2016 Abstract 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. To reference this document use: http://resolver.tudelft.nl/uuid:10e8f7c1-6fd6-4350-8091-748db5934691 DOI https://doi.org/10.2514/1.G000378 Embargo date 2018-07-01 ISSN 0731-5090 Source Journal of Guidance, Control, and Dynamics: devoted to the technology of dynamics and control, 39, 2324-2335 Part of collection Institutional Repository Document type journal article Rights © 2016 Michiel Bergsma, E. Mooij Files PDF JGCD_Taylor_Series_Integration.pdf 863.92 KB Close viewer /islandora/object/uuid:10e8f7c1-6fd6-4350-8091-748db5934691/datastream/OBJ/view