Expansion of the Hamiltonian for the planetary problem into a Poisson series in the heliocentric reference frame

Результат исследований: Научные публикации в периодических изданияхстатья

1 цитирование (Scopus)

Выдержка

An expansion of the Hamiltonian for the N-planet problem into a Poisson series using a system of modified (complex) Poincare´ canonical elements in the heliocentric coordinate system is constructed. The Lagrangian and Hamiltonian formalisms are used. The first terms in the expansions of the principal and complementary parts of the disturbing function are presented. Estimates of the number of terms in the presented expansions have been obtained through numerical experiments. A comparison with the results of other authors is made.

Язык оригиналарусский
Страницы (с-по)555-566
Число страниц12
ЖурналAstronomy Letters
Том42
Номер выпуска8
DOI
СостояниеОпубликовано - 1 авг 2016

Предметные области Scopus

  • Астрономия и астрофизика
  • Космические науки и планетоведение

Цитировать

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abstract = "An expansion of the Hamiltonian for the N-planet problem into a Poisson series using a system of modified (complex) Poincare´ canonical elements in the heliocentric coordinate system is constructed. The Lagrangian and Hamiltonian formalisms are used. The first terms in the expansions of the principal and complementary parts of the disturbing function are presented. Estimates of the number of terms in the presented expansions have been obtained through numerical experiments. A comparison with the results of other authors is made.",
keywords = "disturbing function, Hamiltonian, heliocentric coordinates, Laplace coefficients, N-body problem, Poincar{\'e} canonical elements, Poisson series",
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Expansion of the Hamiltonian for the planetary problem into a Poisson series in the heliocentric reference frame. / Mikryukov, D. V.

В: Astronomy Letters, Том 42, № 8, 01.08.2016, стр. 555-566.

Результат исследований: Научные публикации в периодических изданияхстатья

TY - JOUR

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AU - Mikryukov, D. V.

PY - 2016/8/1

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N2 - An expansion of the Hamiltonian for the N-planet problem into a Poisson series using a system of modified (complex) Poincare´ canonical elements in the heliocentric coordinate system is constructed. The Lagrangian and Hamiltonian formalisms are used. The first terms in the expansions of the principal and complementary parts of the disturbing function are presented. Estimates of the number of terms in the presented expansions have been obtained through numerical experiments. A comparison with the results of other authors is made.

AB - An expansion of the Hamiltonian for the N-planet problem into a Poisson series using a system of modified (complex) Poincare´ canonical elements in the heliocentric coordinate system is constructed. The Lagrangian and Hamiltonian formalisms are used. The first terms in the expansions of the principal and complementary parts of the disturbing function are presented. Estimates of the number of terms in the presented expansions have been obtained through numerical experiments. A comparison with the results of other authors is made.

KW - disturbing function

KW - Hamiltonian

KW - heliocentric coordinates

KW - Laplace coefficients

KW - N-body problem

KW - Poincaré canonical elements

KW - Poisson series

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DO - 10.1134/S106377371608003X

M3 - статья

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SP - 555

EP - 566

JO - Astronomy Letters

JF - Astronomy Letters

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