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Celestial mechanics and dynamical astronomy最新文献

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Revisiting the computation of the critical points of the Keplerian distance 重述开普勒距离临界点的计算
Celestial mechanics and dynamical astronomy Pub Date : 2023-09-29 DOI: 10.1007/s10569-023-10161-4
Giovanni F. Gronchi, Giulio Baù, Clara Grassi
{"title":"Revisiting the computation of the critical points of the Keplerian distance","authors":"Giovanni F. Gronchi, Giulio Baù, Clara Grassi","doi":"10.1007/s10569-023-10161-4","DOIUrl":"https://doi.org/10.1007/s10569-023-10161-4","url":null,"abstract":"Abstract We consider the Keplerian distance d in the case of two elliptic orbits, i.e., the distance between one point on the first ellipse and one point on the second one, assuming they have a common focus. The absolute minimum $$d_{textrm{min}}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msub> <mml:mi>d</mml:mi> <mml:mtext>min</mml:mtext> </mml:msub> </mml:math> of this function, called MOID or orbit distance in the literature, is relevant to detect possible impacts between two objects following approximately these elliptic trajectories. We revisit and compare two different approaches to compute the critical points of $$d^2$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mi>d</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> , where we squared the distance d to include crossing points among the critical ones. One approach uses trigonometric polynomials, and the other uses ordinary polynomials. A new way to test the reliability of the computation of $$d_{textrm{min}}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msub> <mml:mi>d</mml:mi> <mml:mtext>min</mml:mtext> </mml:msub> </mml:math> is introduced, based on optimal estimates that can be found in the literature. The planar case is also discussed: in this case, we present an estimate for the maximal number of critical points of $$d^2$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mi>d</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> , together with a conjecture supported by numerical tests.","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135200114","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Milankovitch equations with spinors 带旋量的米兰科维奇方程
Celestial mechanics and dynamical astronomy Pub Date : 2023-09-28 DOI: 10.1007/s10569-023-10162-3
Barnabás Deme, Jean-Baptiste Fouvry
{"title":"Milankovitch equations with spinors","authors":"Barnabás Deme, Jean-Baptiste Fouvry","doi":"10.1007/s10569-023-10162-3","DOIUrl":"https://doi.org/10.1007/s10569-023-10162-3","url":null,"abstract":"","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135344284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of the natural orbits around Io 木卫一自然轨道的分析
Celestial mechanics and dynamical astronomy Pub Date : 2023-08-31 DOI: 10.1007/s10569-023-10160-5
G. Caritá, S. Aljbaae, A. B. Prado, A. C. Signor, M. Morais, D. M. Sanchez
{"title":"Analysis of the natural orbits around Io","authors":"G. Caritá, S. Aljbaae, A. B. Prado, A. C. Signor, M. Morais, D. M. Sanchez","doi":"10.1007/s10569-023-10160-5","DOIUrl":"https://doi.org/10.1007/s10569-023-10160-5","url":null,"abstract":"","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72502190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Correction: Chaotic coexistence of librational and rotational dynamics in the averaged planar three-body problem 修正:平均平面三体问题中振动和旋转动力学的混沌共存
Celestial mechanics and dynamical astronomy Pub Date : 2023-08-01 DOI: 10.1007/s10569-023-10158-z
Sara Di Ruzza
{"title":"Correction: Chaotic coexistence of librational and rotational dynamics in the averaged planar three-body problem","authors":"Sara Di Ruzza","doi":"10.1007/s10569-023-10158-z","DOIUrl":"https://doi.org/10.1007/s10569-023-10158-z","url":null,"abstract":"","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"84 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78067546","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An investigation on space debris of unknown origin using proper elements and neural networks 利用适当元素和神经网络对不明来源空间碎片进行研究
Celestial mechanics and dynamical astronomy Pub Date : 2023-07-25 DOI: 10.1007/s10569-023-10157-0
Di Wu, A. Rosengren
{"title":"An investigation on space debris of unknown origin using proper elements and neural networks","authors":"Di Wu, A. Rosengren","doi":"10.1007/s10569-023-10157-0","DOIUrl":"https://doi.org/10.1007/s10569-023-10157-0","url":null,"abstract":"","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75907437","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Framework for the full N-body problem in SE(3) and its reduction to the circular restricted full three-body problem SE(3)中全n体问题的框架及其转化为圆形受限全三体问题
Celestial mechanics and dynamical astronomy Pub Date : 2023-07-10 DOI: 10.1007/s10569-023-10156-1
Morad Nazari, D. Canales, Brennan McCann, Eric Butcher, K. Howell
{"title":"Framework for the full N-body problem in SE(3) and its reduction to the circular restricted full three-body problem","authors":"Morad Nazari, D. Canales, Brennan McCann, Eric Butcher, K. Howell","doi":"10.1007/s10569-023-10156-1","DOIUrl":"https://doi.org/10.1007/s10569-023-10156-1","url":null,"abstract":"","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84013129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Hamiltonian reduction through explicit canonical transformations and resonant canonical variables 通过显式正则变换和共振正则变量的哈密顿化简
Celestial mechanics and dynamical astronomy Pub Date : 2023-07-03 DOI: 10.1007/s10569-023-10145-4
V. Martinusi
{"title":"Hamiltonian reduction through explicit canonical transformations and resonant canonical variables","authors":"V. Martinusi","doi":"10.1007/s10569-023-10145-4","DOIUrl":"https://doi.org/10.1007/s10569-023-10145-4","url":null,"abstract":"","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"34 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81778023","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Chaotic coexistence of librational and rotational dynamics in the averaged planar three-body problem 平均平面三体问题中振动和旋转动力学的混沌共存
Celestial mechanics and dynamical astronomy Pub Date : 2023-06-30 DOI: 10.1007/s10569-023-10155-2
Sara Di Ruzza
{"title":"Chaotic coexistence of librational and rotational dynamics in the averaged planar three-body problem","authors":"Sara Di Ruzza","doi":"10.1007/s10569-023-10155-2","DOIUrl":"https://doi.org/10.1007/s10569-023-10155-2","url":null,"abstract":"","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85579695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
PETREL19: a new numerical solution of planetary and lunar ephemeris PETREL19:行星和月球星历的新数值解
Celestial mechanics and dynamical astronomy Pub Date : 2023-06-20 DOI: 10.1007/s10569-023-10151-6
W. Tian
{"title":"PETREL19: a new numerical solution of planetary and lunar ephemeris","authors":"W. Tian","doi":"10.1007/s10569-023-10151-6","DOIUrl":"https://doi.org/10.1007/s10569-023-10151-6","url":null,"abstract":"","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85224403","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics 快速李亚普诺夫指示器在天体力学问题建模中的理论与应用
Celestial mechanics and dynamical astronomy Pub Date : 2023-06-19 DOI: 10.1007/s10569-023-10152-5
M. Guzzo, E. Lega
{"title":"Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics","authors":"M. Guzzo, E. Lega","doi":"10.1007/s10569-023-10152-5","DOIUrl":"https://doi.org/10.1007/s10569-023-10152-5","url":null,"abstract":"","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"37 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78464346","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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