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Retrospective Evaluation of C-reactive Protein for Ruling Out Infection After Cesarean Section.
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Minimizers for the Kepler Problem
Qualitative Theory of Dynamical Systems, 2020The author characterizes the minimizing geodesics for the Kepler problem endowed with the Jacobi-Maupertuis metric, in all the cases. Jacobi stated without proof in 1836 a condition under which the Keplerian elliptic orbit is the minimizer. A proof was given in 1871 by I.
R. Montgomery
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Oxford Scholarship Online, 2018
Abstract This chapter considers Newton’s 1665 explanations of the dynamics in the laws governing the motion of a planet around the Sun, which were established by Johannes Kepler in 1618. The first law states that the motion is planar and the trajectories are ellipses.
Nathalie Deruelle, Jean-Philippe Uzan
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Abstract This chapter considers Newton’s 1665 explanations of the dynamics in the laws governing the motion of a planet around the Sun, which were established by Johannes Kepler in 1618. The first law states that the motion is planar and the trajectories are ellipses.
Nathalie Deruelle, Jean-Philippe Uzan
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2013
The Kepler problem, which is a basic two-body problem of mechanics, is used to introduce simple integrators. This problem can be solved analytically and is, thus, a very interesting candidate to benchmark numerical methods of integration. First of all, the analytic solution of the problem is discussed in considerable detail.
Benjamin A. Stickler, Ewald Schachinger
semanticscholar +3 more sources
The Kepler problem, which is a basic two-body problem of mechanics, is used to introduce simple integrators. This problem can be solved analytically and is, thus, a very interesting candidate to benchmark numerical methods of integration. First of all, the analytic solution of the problem is discussed in considerable detail.
Benjamin A. Stickler, Ewald Schachinger
semanticscholar +3 more sources
Conic transfer arcs for Kepler's problem
American Journal of Physics, 2022A fundamental problem in spacecraft mission design is to find free-flight paths from one place to another that satisfy various design criteria. We explore the geometry of free-flight paths between departure and arrival points for Kepler's problem. Newton
R. Easton, Rodney L. Anderson, M. Lo
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Physical Review D, 1971
Relativistic quantum field theory is used as a starting point to construct a classical, completely relativistic theory of planetary orbits.
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Relativistic quantum field theory is used as a starting point to construct a classical, completely relativistic theory of planetary orbits.
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2010
The two-body problem is the study of the motion of two material points \( \mathcal{P}_1 \) and \( \mathcal{P}_2 \), with masses respectively m1 and m2; when the two bodies are subject to the mutual gravitational attraction one speaks of Kepler’s problem, whose dynamics is described by the three so-called Kepler’s laws (see, e.g., [157]).
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The two-body problem is the study of the motion of two material points \( \mathcal{P}_1 \) and \( \mathcal{P}_2 \), with masses respectively m1 and m2; when the two bodies are subject to the mutual gravitational attraction one speaks of Kepler’s problem, whose dynamics is described by the three so-called Kepler’s laws (see, e.g., [157]).
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