Cassini's motions of the Moon and Mercury and possible excitations of free librations

On the basis of conditionally-periodic solutions of Hamiltonian systems at resonance of main frequencies Cassini's motions, their stability, Cassini's angle and periods of free librations of the Moon and Mercury have been recently studied and determined. The generalized formulations of Cassini's laws for the motion of the Moon and Mercury, that are considered as absolutely rigid non-spherical bodies, have been determined. The study of the second approximation equations of the desired quasi-periodic solutions in the case of the Moon allows us to determine the constant components of the first order for six Andoyer variables and the constant component of the second order for the angular velocity of the Moon. These effects are caused by the influence of the third harmonic of selenopotential. In this paper, these effects are described by analytical formulas, the dynamic and geometric interpretations are given, and a new interpretation of Mercury's motion under the generalized Cassini's laws has been proposed. Predictions of the existence of free librations of significant amplitude in the Mercury longitude, that are confirmed by the radar measurements data of the Mercury angular velocity, and in its pole motion in the body and in space have been made. The mechanism describing free librations of celestial bodies and their pole oscillations has been proposed due to the forced relative oscillations and wobble of the core-mantle system of celestial bodies (Moon, Mercury, Earth and other bodies in the solar system) under gravitational action of the external celestial bodies. The paper shows that the ascending node of equator of Mercury (and the intermediate plane orthogonal to the angular momentum) of epoch 2000.0 on the ecliptic does not coincide with the ascending node of orbital plane of Mercury on the same plane, and is ahead of it at an angle 23º4’. Angular momentum vector of the rotational motion of Mercury forms a constant angle ?G=4’1±1’1 with normal to the moveable plane of its orbit. The observed inclination of the angular velocity??=2’1±0’1, can be considered as a possible evidence of a significant amplitude of the poles free motion of the Mercury rotation axis (c amplitude of about 2'- 4'). © 2018 The Authors

Yazar Barkin Y.V.
Ferrandiz J.
Jin S.
Barkin M.Y.
Yayın Türü Article
Tek Biçim Adres https://hdl.handle.net/20.500.12628/4596
Tek Biçim Adres 10.1016/j.geog.2018.01.005
Konu Başlıkları Cassini's motions
Mercury
Moon
Koleksiyonlar Araştırma Çıktıları | WoS | Scopus | TR-Dizin | PubMed | SOBİAD
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu
Dergi Adı Geodesy and Geodynamics
Dergi Cilt Bilgisi 9
Dergi Sayısı 6
Sayfalar 474 - 484
Yayın Yılı 2018
Eser Adı
[dc.title]
Cassini's motions of the Moon and Mercury and possible excitations of free librations
Yazar
[dc.contributor.author]
Barkin Y.V.
Yazar
[dc.contributor.author]
Ferrandiz J.
Yazar
[dc.contributor.author]
Jin S.
Yazar
[dc.contributor.author]
Barkin M.Y.
Yayın Yılı
[dc.date.issued]
2018
Yayıncı
[dc.publisher]
KeAi Communications Co.
Yayın Türü
[dc.type]
article
Özet
[dc.description.abstract]
On the basis of conditionally-periodic solutions of Hamiltonian systems at resonance of main frequencies Cassini's motions, their stability, Cassini's angle and periods of free librations of the Moon and Mercury have been recently studied and determined. The generalized formulations of Cassini's laws for the motion of the Moon and Mercury, that are considered as absolutely rigid non-spherical bodies, have been determined. The study of the second approximation equations of the desired quasi-periodic solutions in the case of the Moon allows us to determine the constant components of the first order for six Andoyer variables and the constant component of the second order for the angular velocity of the Moon. These effects are caused by the influence of the third harmonic of selenopotential. In this paper, these effects are described by analytical formulas, the dynamic and geometric interpretations are given, and a new interpretation of Mercury's motion under the generalized Cassini's laws has been proposed. Predictions of the existence of free librations of significant amplitude in the Mercury longitude, that are confirmed by the radar measurements data of the Mercury angular velocity, and in its pole motion in the body and in space have been made. The mechanism describing free librations of celestial bodies and their pole oscillations has been proposed due to the forced relative oscillations and wobble of the core-mantle system of celestial bodies (Moon, Mercury, Earth and other bodies in the solar system) under gravitational action of the external celestial bodies. The paper shows that the ascending node of equator of Mercury (and the intermediate plane orthogonal to the angular momentum) of epoch 2000.0 on the ecliptic does not coincide with the ascending node of orbital plane of Mercury on the same plane, and is ahead of it at an angle 23º4’. Angular momentum vector of the rotational motion of Mercury forms a constant angle ?G=4’1±1’1 with normal to the moveable plane of its orbit. The observed inclination of the angular velocity??=2’1±0’1, can be considered as a possible evidence of a significant amplitude of the poles free motion of the Mercury rotation axis (c amplitude of about 2'- 4'). © 2018 The Authors
Kayıt Giriş Tarihi
[dc.date.accessioned]
2019-12-23
Açık Erişim Tarihi
[dc.date.available]
2019-12-23
Yayın Dili
[dc.language.iso]
eng
Konu Başlıkları
[dc.subject]
Cassini's motions
Konu Başlıkları
[dc.subject]
Mercury
Konu Başlıkları
[dc.subject]
Moon
Haklar
[dc.rights]
info:eu-repo/semantics/openAccess
ISSN
[dc.identifier.issn]
1674-9847
İlk Sayfa Sayısı
[dc.identifier.startpage]
474
Son Sayfa Sayısı
[dc.identifier.endpage]
484
Dergi Adı
[dc.relation.journal]
Geodesy and Geodynamics
Dergi Sayısı
[dc.identifier.issue]
6
Dergi Cilt Bilgisi
[dc.identifier.volume]
9
Tek Biçim Adres
[dc.identifier.uri]
https://dx.doi.org/10.1016/j.geog.2018.01.005
Tek Biçim Adres
[dc.identifier.uri]
https://hdl.handle.net/20.500.12628/4596
Görüntülenme Sayısı ( Şehir )
Görüntülenme Sayısı ( Ülke )
Görüntülenme Sayısı ( Zaman Dağılımı )
Görüntülenme
39
09.12.2022 tarihinden bu yana
İndirme
1
09.12.2022 tarihinden bu yana
Son Erişim Tarihi
19 Mayıs 2024 16:59
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Tıklayınız
Mercury motion bodies angular Cassini librations constant celestial amplitude ascending effects second proposed velocity significant oscillations solutions considered determined generalized action ecliptic system momentum) gravitational orthogonal external intermediate equator system) vector possible evidence rotation inclination
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