An improved C++ Poisson series processor with its applications
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Altres documents de l'autoria: López Ortí, José Antonio; Agost Gómez, Vicente; Barreda Rochera, Miguel
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Mostra el registre complet de l'elementcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Títol
An improved C++ Poisson series processor with its applicationsData de publicació
2020-12-14Editor
John Wiley and SonsISSN
2577-7408Cita bibliogràfica
López Ortí, J. A., Agost Gómez, V., & Barreda Rochera, M. An improved C++ Poisson Series Processor with its applications. Computational and Mathematical Methods, 2020; e1143.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://onlinelibrary.wiley.com/doi/full/10.1002/cmm4.1143Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
One of major problems in celestial mechanics is the management of the long developments in Fourier or Poisson series used to describe the perturbed motion in the planetary system. In this work we will develop a software ... [+]
One of major problems in celestial mechanics is the management of the long developments in Fourier or Poisson series used to describe the perturbed motion in the planetary system. In this work we will develop a software package suitable for managing these objects. This package includes the ordinary arithmetic operations with Poisson series—such as sum or product—as well as the most commonly used functions sin , cos , or exp , among others. Derivation or integration procedures with respect to time of these objects have been implemented and inversion or serialization procedures are also attainable to obtain such series. All the programming has been accomplished overloading the arithmetic and functional operators natural to C++ with the intention of allowing the programmer to work in a more friendly way and treating the series as if they were mere numbers. In this work we extend the processor in order to obtain the solution to perturbed problems which solution is in the form of a Poisson series. These algorithms have been written in C++. [-]
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Computational and Mathematical Methods, e1143, (2020)Drets d'accés
(c) 2020 John Wiley & Sons Ltd.
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