Computing the long term evolution of the solar system with geometric numerical integrators

Oberwolfach'tan

Computing the long term evolution of the solar system with geometric numerical integrators

Simulating the dynamics of the Sun–Earth–Moon sys- tem with a standard algorithm yields a dramatically wrong solution, predicting that the Moon is ejected from its orbit. In contrast, a well chosen algorithm with the same initial data yields the correct behavior. We explain the main ideas of how the evolution of the solar system can be computed over long times by taking advantage of so-called geometric numerical methods. Short sample codes are provided for the Sun–Earth–Moon system. 

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Matematiksel konular

Nümerik ve Hesap Analizi

Diğer alanlarla ilişkiler

Mühendislik ve Teknoloji

Yazar(lar)

Shaula Fiorelli Vilmart, Gilles Vilmart

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2017-009-EN

PDF indir

snapshots-2017-009.pdf

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Matematiksel konular

Cebir ve Sayılar Kuramı
Analiz
Eğitim ve Eğitim Bilimi
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji
Nümerik ve Hesap Analizi
Olasılık Kuramı ve İstatistik

Diğer alanlarla ilişkiler

Kimya ve Yer Bilimler
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Beşeri ve Sosyal Bilimler
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Fizik
Matematik Üzerine Düşünceler

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