商品描述
This book is devoted to the presentation and discussion of some models of relevance in Celestial Mechanics and Astrodynamics. The motions of celestial bodies, either natural or artificial, are governed by conservative forces, like the gravitational attraction that preserve the total energy and by dissipative forces, like the tidal torque, Stokes drag, and the Poynting-Robertson effect. The basic idea of this book is to describe in each chapter a model in the conservative setting, providing its main features, and then to extend the model by including dissipative forces. In fact, the dynamics of many objects of the Solar system is well described, in a first approximation, by a conservative model; however, in the long term, dissipative effects may play a relevant role, for example, in shaping the dynamics and affecting the evolutionary history of the Solar system. Motivated by this observation, in this book, different models are presented and their main features are described in the conservative setting, but dissipative contributions, pertinent to the model, are added as well, which may lead to a completely different dynamics on long time scales. Conservative systems have a larger variety of motions, e.g., the dynamics can take place on rotational tori, librational motions, periodic orbits, and chaotic trajectories. On the contrary, dissipative systems admit a less rich dynamics, since the dissipation forces the motion to take place on a few attractors, e.g., rotational tori, periodic orbits or strange attractors. Besides, dissipative systems often need extra parameters to compensate for the loss of energy and to allow the dynamics to take place on non-trivial attractors. The book is addressed to graduate students and researchers interested in models of Celestial Mechanics and Astrodynamics.
商品描述(中文翻譯)
本書專注於介紹和討論在天體力學和天體動力學中相關的一些模型。天體的運動，無論是自然的還是人造的，都受到保守力的支配，例如保持總能量的引力，以及耗散力，例如潮汐扭矩、斯托克斯阻力和波因廷-羅伯遜效應。本書的基本理念是在每一章中描述一個保守設定下的模型，提供其主要特徵，然後通過納入耗散力來擴展該模型。事實上，許多太陽系物體的動力學在第一近似下可以很好地用保守模型來描述；然而，從長期來看，耗散效應可能會發揮重要作用，例如在塑造動力學和影響太陽系的演化歷史方面。
基於這一觀察，本書呈現了不同的模型，並在保守設定下描述其主要特徵，同時也加入了與模型相關的耗散貢獻，這可能會導致在長時間尺度上完全不同的動力學。保守系統具有更豐富的運動變化，例如，動力學可以在旋轉環面上進行、擺動運動、週期軌道和混沌軌跡。相反，耗散系統的動力學較為單一，因為耗散力迫使運動在少數吸引子上進行，例如旋轉環面、週期軌道或奇異吸引子。此外，耗散系統通常需要額外的參數來補償能量損失，並使動力學能夠在非平凡的吸引子上進行。
本書適合對天體力學和天體動力學模型感興趣的研究生和研究人員。
作者簡介
Alessandra Celletti received her PhD in 1989 at the Swiss Federal Institute of Technology in Zurich (ETH) under the supervision of Professors Jurgen Moser and Jorge Waldvogel. She is a full professor of Mathematical Physics at the University of Rome Tor Vergata and since 2020, she has been a member of the governing board and the Vice President of ANVUR. Her research interests include Celestial Mechanics and Dynamical Systems with reference to perturbative methods and applications to Solar system dynamics. She is a founding member of the Italian Society of Celestial Mechanics and Astrodynamics that chaired from 2001 to 2013. Since 2010, she has been an honorary member of the "Celestial Mechanics Institute". In 2018, she became the President of the Scientific Committee in Celestial Mechanics of the IAU and in 2019-2020, she was in the Governing Board of the Italian Space Agency. In 2023, she was awarded the "Dirk Brouwer Career Award" from the American Astronomical Society. In addition, the asteroid 117539 bears her name.
作者簡介(中文翻譯)
阿萊桑德拉·切萊提於1989年在瑞士蘇黎世聯邦理工學院（ETH）獲得博士學位，指導教授為尤爾根·莫澤（Jurgen Moser）和豪爾赫·瓦爾德沃格（Jorge Waldvogel）。她是羅馬托爾維爾加大學的數學物理學全職教授，自2020年以來，擔任ANVUR的理事會成員及副主席。她的研究興趣包括天體力學和動力系統，特別是與擾動方法及其在太陽系動力學中的應用相關的領域。她是意大利天體力學與推進學會的創始成員，並於2001年至2013年擔任該學會的主席。自2010年以來，她一直是「天體力學研究所」的名譽成員。2018年，她成為國際天文聯合會（IAU）天體力學科學委員會的主席，並在2019至2020年期間擔任意大利太空總署的理事會成員。2023年，她獲得美國天文學會頒發的「德克·布勞爾職業獎」。此外，小行星117539以她的名字命名。
