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Untersuchungen über die Convergenz der beim problem der drei Körper auftretenden Reihenentwickelungen ...Happel, H. January 1900 (has links)
Inaug.-dis.--Göttingen.
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Ueber die Reduction des Drei-Körper-Problems auf die Integration einer einzigen Differential-Gleichung ...Scholz, Paul Ludwig, January 1900 (has links)
Inaug.-diss.--Berlin. / Lebenslauf.
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Isosceles-triangle solutions of the problem of three bodies /Buchanan, Daniel. January 1900 (has links)
Thesis (PH. D.)--University of Chicago, 1911. / "Extracted from Carnegie institution of Washington. Publication no. 161." Includes bibliographical references.
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The limiting case of periodic orbits near the lagrangian equilateral triangle solutions of the restricted three body problemHamilton, Rognvald Thore January 1939 (has links)
[No abstract available] / Science, Faculty of / Mathematics, Department of / Graduate
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A three-body scattering model using delta shell interactions.Nieukerke, Karel Johannes. January 1979 (has links) (PDF)
Thesis (Ph.D.) Dept. of Mathematical Physics, University of Adelaide, 1981. / Typescript (photocopy).
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Effect of coordinate switching on simulation accuracy of translunar trajectoriesVautier, Mana P., Sinclair, Andrew J., January 2008 (has links) (PDF)
Thesis (M.S.)--Auburn University, 2008. / Abstract. Vita. Includes bibliographical references (p. 48-49) and index.
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The isosceles three-body problem : a global geometric analysis /Chesley, Steven Ross, January 1998 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 1998. / Vita. Includes bibliographical references (leaves 119-126). Available also in a digital version from Dissertation Abstracts.
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A variational wave function for the ground state of He³, and its application to the D(p,y)He³ capture reactionBanville, Marcel Roland January 1965 (has links)
The present work proposes trial wave functions for the three-body problem in nuclear physics taking into account the group theoretical classification of the states given by Derrick and Blatt and by Verde. We start from the Schroedinger equation in the internal variables (the interparticle distances) obtained by Derrick from a summation over the matrix elements for kinetic energy and potential energy extended over all variables except the internal variables.
An “equivalent" Schroedinger equation is set up using a potential due to Eckart. This equation has the same form as the original Schroedinger equation in the region outside the range of the nuclear forces. The variables in this equation can be separated in a hyperspherical coordinate system and the resulting separate equations can be solved. Then using a superposition principle the solutions of the original equation are expanded in terms of solutions to the "equivalent" equation.
The Rayleigh-Ritz variational procedure is used to determine the coefficients of the expansions with a given potential. Because of the computational labor involved significant approximation is made in allowing only the leading terms in the angular variables to appear in the expansions while keeping a sufficient number of radial terms to insure convergence.
The present functions with a radial variable R = [formula omitted] give less than 1/2 of the binding energy predicted by Blatt, Derrick and Lyness (1962) who used a radial variable R = r₁₂ + r₂₃ + r₃₁. This shows that our approximation with the former radial variable is indeed too crude to predict a reliable value for the binding energy and that more angular terms must be included in the expansions, at least for the preponderent symmetric S-state.
Wave functions derived by the Rayleigh-Ritz variational principle are used to calculate cross sections for the reaction D(p, γ)He³. The electric dipole cross section depends very sensitively on the potential used to derive the wave function and a comparison with experimental data provides a test of the various model assumptions used to describe the nuclear interaction. A realistic potential must contain a tensor potential plus a hard core in the central potential. The tensor interaction couples the S and D states and is necessary to explain the quadrupole moment of He³ while the hard core produced the required mixed-symmetry S-state.
The experimentally observed isotropic component of the gamma ray yield is attributed to a magnetic dipole transition between a continuum quartet S-state and the mixed-symmetry component of the ground state wave function. For a range of the variable parameter used in the calculation comparison with experiment requires a 5% admixture of the mixed-symmetry S-state in the ground state wave function. / Science, Faculty of / Physics and Astronomy, Department of / Graduate
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Visualizing solutions of the circular restricted three-body problemTrim, Nkosi Nathan. January 2009 (has links)
Thesis (M.S.)--Rutgers University, 2009. / "Graduate Program in Mathematical Sciences." Includes bibliographical references (p. 40).
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An evaluation of approximation methods for three body scattering problemsSchwebel, Solomon L. January 1954 (has links)
Thesis--New York University. / Bibliography: p. [124]-125.
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