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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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, 1990 Recent research on the theory of perturbations, the analytical approach and the quantitative analysis of the three-body problem have reached a high degree of perfection.
Marchal, Christian
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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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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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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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