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On resonance in celestial mechanics
Celestial Mechanics, 1982This brief survey of the author's contribution to the theory of resonance in celestial mechanics begins with the genesis of the Small Divisor. The fundamental distinction between theshallow anddeep resonance is illustrated by the 5∶2 Jupiter-Saturn and the 3-2 Neptune-Pluto resonances in the planetary system.
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Celestial and Mechanical Clocks [PDF]
, 1998 From the earliest times in the course of human development, a recurring theme has been the inexorable passage of time, bringing with it ever-changing aspects of Nature and the cycle of life and death. Only in the realm of mythology do immortal gods live outside of time in their eternal incorruptible abodes.
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Celestial Mechanics on a Microscopic Scale
Science, 1991Classical and semiclassical methods are unrivaled in providing an intuitive and computationally tractable approach to the study of atomic, molecular, and nuclear dynamics. An important advantage of such methods is their ability to uncover in a single picture underlying structures that may be hard to extract from the profusion of data supplied by ...
Joel P. Skelton +4 more
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Cosmology and celestial mechanics
International Journal of Theoretical Physics, 1989The similarities between cosmology and celestial mechanics are discussed from the scientific and historical points of view and the scientific aims of these two fields are compared. Newton's and Poincare's contributions to celestial mechanics, dynamics, and cosmology are presented. The recently established instability of triple stellar configurations is
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Celestial mechanics with geometric algebra
Celestial Mechanics, 1983Geometric algebra is introduced as a general tool for Celestial Mechanics. A general method for handling finite rotations and rotational kinematics is presented. The constants of Kepler motion are derived and manipulated in a new way. A new spinor formulation of perturbation theory is developed.
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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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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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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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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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On the foundations of celestial mechanics
Astronomische Nachrichten, 1959AbstractDie Bewegungsgleichungen der Himmelsmechanik werden aus den Beobachtungen “induziert”.
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