Results 281 to 290 of about 4,006,732 (341)
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Celestial Mechanics, 1984
In the first part [the authors, Acta Astronaut. 11, 415-422 (1984; Zbl 0551.70004)] we have analyzed three-body systems satisfying the condition \(r\leq kR\), where k is a suitable constant, r the mutual distance of the two masses of the ''binary'' and R the distance between the center of mass of the binary and the ''third mass''.
Marchal, Christian +2 more
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In the first part [the authors, Acta Astronaut. 11, 415-422 (1984; Zbl 0551.70004)] we have analyzed three-body systems satisfying the condition \(r\leq kR\), where k is a suitable constant, r the mutual distance of the two masses of the ''binary'' and R the distance between the center of mass of the binary and the ''third mass''.
Marchal, Christian +2 more
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A Trilinear Three-Body Problem
International Journal of Bifurcation and Chaos, 2003In this paper we present a simplified model of a three-body problem. Place three parallel lines in the plane. Place one mass on each of the lines and let their positions evolve according to Newton's inverse square law of gravitation. We prove the KAM theory applies to our model and simulations are presented. We argue that this model provides an ideal,
Lodge, G., Walsh, J. A., Kramer, M.
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ROBERT HOOKE'S THREE-BODY PROBLEM
International Journal of Bifurcation and Chaos, 2009During the winter 1679, R. Hooke challenged I. Newton to predict the dynamics of an object submitted to a constant radial force. This correspondence made a strong impact on I. Newton, who wrote four years later "De Motu", the real ancestor of "The Principia", published in 1687. R.
Argentina, Médéric +4 more
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Three-body Coulomb continuum problem
Physical Review Letters, 1994A symmetric representation of the three-body Coulomb continuum wave function as a product of three two-body Coulomb wave functions is modified to allow for three-body effects whereby the Sommerfeld parameter describing the strength of interaction of any two particles is affected by the presence of the third particle.
, Berakdar, , Briggs
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Celestial Mechanics, 1974
Analytical and numerical results obtained during the past five years and their astronomical applications are reviewed in the area known as the general problem of three bodies. In this problem the order of magnitude of the masses of the three participating bodies are the same and their distances are arbitrary.
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Analytical and numerical results obtained during the past five years and their astronomical applications are reviewed in the area known as the general problem of three bodies. In this problem the order of magnitude of the masses of the three participating bodies are the same and their distances are arbitrary.
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The Parabolic Three-Body Problem
Celestial Mechanics and Dynamical Astronomy, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Physics Bulletin, 1969
This problem in its general form is one of the most difficult in celestial mechanics. However, each special case can be solved easily by stepwise numerical integration.
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This problem in its general form is one of the most difficult in celestial mechanics. However, each special case can be solved easily by stepwise numerical integration.
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1995
Ours, according to Leibniz, is the best of all possible worlds, and the laws of nature can therefore be described in terms of extremal principles. Thus, arising from corresponding variational problems, the differential equations of mechanics have invariance properties relative to certain groups of coordinate transformations.
Carl Ludwig Siegel, Jürgen K. Moser
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Ours, according to Leibniz, is the best of all possible worlds, and the laws of nature can therefore be described in terms of extremal principles. Thus, arising from corresponding variational problems, the differential equations of mechanics have invariance properties relative to certain groups of coordinate transformations.
Carl Ludwig Siegel, Jürgen K. Moser
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2006
How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincaré's conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach.
Mauri Valtonen, Hannu Karttunen
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How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincaré's conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach.
Mauri Valtonen, Hannu Karttunen
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