An improved C++ Poisson series processor with its applications
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Other documents of the author: López Ortí, José Antonio; Agost Gómez, Vicente; Barreda Rochera, Miguel
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
An improved C++ Poisson series processor with its applicationsDate
2020-12-14Publisher
John Wiley and SonsISSN
2577-7408Bibliographic citation
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.Type
info:eu-repo/semantics/articlePublisher version
https://onlinelibrary.wiley.com/doi/full/10.1002/cmm4.1143Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
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)Rights
(c) 2020 John Wiley & Sons Ltd.
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