Standard

The expansion of the Hamiltonian of the two-planetary problem into a Poisson series in all elements: Estimation and direct calculation of coefficients. / Kholshevnikov, K.; Greb, A.; Kuznetsov, E.
в: Solar System Research, Том 36, № 1, 2002, стр. 68-79.

Результаты исследований: Вклад в журнал › Статья › Рецензирование

Harvard

Kholshevnikov, K, Greb, A & Kuznetsov, E 2002, 'The expansion of the Hamiltonian of the two-planetary problem into a Poisson series in all elements: Estimation and direct calculation of coefficients', Solar System Research, Том. 36, № 1, стр. 68-79. https://doi.org/10.1023/A:1014229712204

APA

Kholshevnikov, K., Greb, A., & Kuznetsov, E. (2002). The expansion of the Hamiltonian of the two-planetary problem into a Poisson series in all elements: Estimation and direct calculation of coefficients. Solar System Research, 36(1), 68-79. https://doi.org/10.1023/A:1014229712204

Vancouver

Kholshevnikov K, Greb A, Kuznetsov E. The expansion of the Hamiltonian of the two-planetary problem into a Poisson series in all elements: Estimation and direct calculation of coefficients. Solar System Research. 2002;36(1):68-79. doi: 10.1023/A:1014229712204

Author

Kholshevnikov, K. ; Greb, A. ; Kuznetsov, E. / The expansion of the Hamiltonian of the two-planetary problem into a Poisson series in all elements: Estimation and direct calculation of coefficients. в: Solar System Research. 2002 ; Том 36, № 1. стр. 68-79.

BibTeX

@article{f7592dda7503487f94fd4c579bf0684c,
title = "The expansion of the Hamiltonian of the two-planetary problem into a Poisson series in all elements: Estimation and direct calculation of coefficients",
abstract = "This is the second paper in a series of articles devoted to one of the basic problems of celestial mechanics: the evolution of solar-type planetary systems. In the first paper (Kholshevnikov et al, 2001), we reviewed the history and the current state of the issue, outlined the scheme of the study, introduced Jacobi coordinates and related osculating elements, and indicated the form of the Hamiltonian expansion into a Poisson series in all elements. In this paper, the expansion coefficients are found according to a simple algorithm that is reduced to the calculation of multiple integrals of elementary functions. At the first stage, we restricted our analysis to the two-planetary problem (Sun-Jupiter-Saturn). The general case will be investigated in a forthcoming paper.",
author = "K. Kholshevnikov and A. Greb and E. Kuznetsov",
note = "This study was supported by the Russian Foundation for Basic Research (project no. 99-02-17820) and by the Leading Scientific School (project no. 00-15-96775).",
year = "2002",
doi = "10.1023/A:1014229712204",
language = "English",
volume = "36",
pages = "68--79",
journal = "Solar System Research",
issn = "0038-0946",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - The expansion of the Hamiltonian of the two-planetary problem into a Poisson series in all elements: Estimation and direct calculation of coefficients

AU - Kholshevnikov, K.

AU - Greb, A.

AU - Kuznetsov, E.

N1 - This study was supported by the Russian Foundation for Basic Research (project no. 99-02-17820) and by the Leading Scientific School (project no. 00-15-96775).

PY - 2002

Y1 - 2002

N2 - This is the second paper in a series of articles devoted to one of the basic problems of celestial mechanics: the evolution of solar-type planetary systems. In the first paper (Kholshevnikov et al, 2001), we reviewed the history and the current state of the issue, outlined the scheme of the study, introduced Jacobi coordinates and related osculating elements, and indicated the form of the Hamiltonian expansion into a Poisson series in all elements. In this paper, the expansion coefficients are found according to a simple algorithm that is reduced to the calculation of multiple integrals of elementary functions. At the first stage, we restricted our analysis to the two-planetary problem (Sun-Jupiter-Saturn). The general case will be investigated in a forthcoming paper.

AB - This is the second paper in a series of articles devoted to one of the basic problems of celestial mechanics: the evolution of solar-type planetary systems. In the first paper (Kholshevnikov et al, 2001), we reviewed the history and the current state of the issue, outlined the scheme of the study, introduced Jacobi coordinates and related osculating elements, and indicated the form of the Hamiltonian expansion into a Poisson series in all elements. In this paper, the expansion coefficients are found according to a simple algorithm that is reduced to the calculation of multiple integrals of elementary functions. At the first stage, we restricted our analysis to the two-planetary problem (Sun-Jupiter-Saturn). The general case will be investigated in a forthcoming paper.

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000174337900008

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=0036117355

U2 - 10.1023/A:1014229712204

DO - 10.1023/A:1014229712204

M3 - Article

VL - 36

SP - 68

EP - 79

JO - Solar System Research

JF - Solar System Research

SN - 0038-0946

IS - 1

ER -

ID: 43771732