КФУ. Карточка публикации. Development of the numerical approach in the theory of physical libration within the framework of the “main problem”

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DEVELOPMENT OF THE NUMERICAL APPROACH IN THE THEORY OF PHYSICAL LIBRATION WITHIN THE FRAMEWORK OF THE &LDQUO;MAIN PROBLEM&RDQUO;

Форма представления

Статьи в российских журналах и сборниках

Год публикации

2017

Язык

русский

Авторы, сотрудники КФУ

Глушков Максим Вадимович, автор

Загидуллин Артур Александрович, автор

Нефедьев Юрий Анатольевич, автор

Петрова Наталья Константиновна, автор

Усанин Владимир Сергеевич, автор

Библиографическое описание на языке оригинала

Zagidullin A.A., Petrova N.K., Usanin V.S., Nefediev Yu.A., Glushkov M.V. Development of the numerical approach in the theory of physical libration within the framework of the “main problem” // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki (Proceedings of Kazan University. Physics and Mathematics Series). – 2017. – V. 159, No 4. – P. 529–546. (In Russian)

Аннотация

A numerical theory of lunar rotation has been developed. The mathematical model of the rotation of the Moon has been considered within the “main problem”. The equations of the rotation have been constructed on the basis of the Hamiltonian approach. The resulting differential equations have been solved using the 10th order Runge–Kutta method. The analysis of the obtained data has been carried out on the basis of residual differences (between the numerical and analytical solutions). As a result, we have found that the range of residual differences does not exceed in modulus 1.8 and 0.9 arcsec. by longitude and latitude, respectively. This relatively high divergence occurs due to the fact that the frequencies are close to the natural frequencies of the system.

Ключевые слова

theory of physical libration of Moon, main problem, Hamilton's equations, Runge-Kutta method, residual differences, resonant frequencies

Название журнала

Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki

URL

https://kpfu.ru/development-of-the-numerical-approach-in-the_336178.html

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https://repository.kpfu.ru/?p_id=183142

Файлы ресурса

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Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Глушков Максим Вадимович	ru_RU
dc.contributor.author	Загидуллин Артур Александрович	ru_RU
dc.contributor.author	Нефедьев Юрий Анатольевич	ru_RU
dc.contributor.author	Петрова Наталья Константиновна	ru_RU
dc.contributor.author	Усанин Владимир Сергеевич	ru_RU
dc.date.accessioned	2017-01-01T00:00:00Z	ru_RU
dc.date.available	2017-01-01T00:00:00Z	ru_RU
dc.date.issued	2017	ru_RU
dc.identifier.citation	Zagidullin A.A., Petrova N.K., Usanin V.S., Nefediev Yu.A., Glushkov M.V. Development of the numerical approach in the theory of physical libration within the framework of the “main problem” // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki (Proceedings of Kazan University. Physics and Mathematics Series). – 2017. – V. 159, No 4. – P. 529–546. (In Russian)	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=183142	ru_RU
dc.description.abstract	Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki	ru_RU
dc.description.abstract	A numerical theory of lunar rotation has been developed. The mathematical model of the rotation of the Moon has been considered within the “main problem”. The equations of the rotation have been constructed on the basis of the Hamiltonian approach. The resulting differential equations have been solved using the 10th order Runge–Kutta method. The analysis of the obtained data has been carried out on the basis of residual differences (between the numerical and analytical solutions). As a result, we have found that the range of residual differences does not exceed in modulus 1.8 and 0.9 arcsec. by longitude and latitude, respectively. This relatively high divergence occurs due to the fact that the frequencies are close to the natural frequencies of the system.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	theory of physical libration of Moon	ru_RU
dc.subject	main problem	ru_RU
dc.subject	Hamilton's equations	ru_RU
dc.subject	Runge-Kutta method	ru_RU
dc.subject	residual differences	ru_RU
dc.subject	resonant frequencies	ru_RU
dc.title	Development of the numerical approach in the theory of physical libration within the framework of the “main problem”	ru_RU
dc.type	Статьи в российских журналах и сборниках	ru_RU