Results 211 to 220 of about 767,122 (251)
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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.
Médéric Argentina +4 more
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Choice Reviews Online, 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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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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1996
Historically, the three-body problem is the most important problem of celestial mechanics and for about two centuries has also been the most extensively studied problem of the whole mathematical physics. In this chapter, we consider only the “classical” subjects, while the more “modern” ones (KAM theory, chaotic solutions, etc.) find their place in the
Dino Boccaletti, Giuseppe Pucacco
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Historically, the three-body problem is the most important problem of celestial mechanics and for about two centuries has also been the most extensively studied problem of the whole mathematical physics. In this chapter, we consider only the “classical” subjects, while the more “modern” ones (KAM theory, chaotic solutions, etc.) find their place in the
Dino Boccaletti, Giuseppe Pucacco
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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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1972
The quantum mechanical three-body problem has been studied with increasing interest in the last decade. The main progress was achieved by deriving integral equations which are not only theoretically correct, but also practically applicable. Such equations allow us in particular to investigate, besides three-body bound states, the scattering of an ...
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The quantum mechanical three-body problem has been studied with increasing interest in the last decade. The main progress was achieved by deriving integral equations which are not only theoretically correct, but also practically applicable. Such equations allow us in particular to investigate, besides three-body bound states, the scattering of an ...
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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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On the Problem of three Bodies
Publications of the Astronomical Society of Japan, 1954Abstract On the planar problem of three bodies, representing the positions of the three bodies by the polar coordinates referred to the centre of the circle, which passes the three bodies, we first derived easily the equilateral triangular solution, and found that the problem of determining the polar coordinates of the bodies is ...
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