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Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics
Celestial mechanics & dynamical astronomy, 2023M. Guzzo, E. Lega
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Introduction to KAM theory, with a view to celestial mechanics
, 2016The theory of Kolmogorov, Arnold, and Moser (KAM) consists of a set of results regarding the persistence of quasiperiodic solutions, primarily in Hamiltonian systems.We bring forward a “twisted conjugacy” normal form, due to Herman, which contains all ...
J. Féjoz
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Progress in Celestial Mechanics
Regular and Chaotic Dynamics, 2012Celestial Mechanics has a long history strongly related to human condition and to the successive scientific revolutions. It remains the most accurate science and has seen tremendous progress in the three last centuries. It has led to the discovery of several dissipative phenomena that are in many cases the real factors of evolution.
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Leonhard Euler and the Foundations of Celestial Mechanics
History of Physics, 2022D. Musielak
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The Invention of Celestial Mechanics
Early Science and Medicine, 2005How high up can one extend the applicability of Descartes' fundamental mechanical dictum that "each part of matter, considered individually, tends to continue its movement along straight lines?"" Not very far, if one judges by Descartes' own celestial speculations: "the matter of heaven, in which the planets are situated, unceasingly revolves."" And ...
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Foundations of Celestial Mechanics
Graduate Texts in Physics, 2022E. Bannikova, Massimo Capaccioli
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Special functions in celestial mechanics
The Dynamics of Natural Satellites of the Planets, 2021E. P. Aksenov
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The celestial mechanics of Newton
Resonance, 2006Newton’s law of universal gravitation laid the physical foundation of celestial mechanics. This article reviews the steps towards the law of gravitation, and highlights some applications to celestial mechanics found in Newton’sPrincipia.
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On the foundations of celestial mechanics
Astronomische Nachrichten, 1959AbstractDie Bewegungsgleichungen der Himmelsmechanik werden aus den Beobachtungen “induziert”.
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Newtonian Celestial Mechanics [PDF]
, 2019 Newton’s theory of gravity is based upon absolute time and space (the Newtonian space-time). According to Newton’s Philosophiae Naturalis Principia Mathematica (originally published in 1687 in Latin), absolute time and space respectively are independent aspects of objective reality:
Michael H. Soffel, Wen-Biao Han
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