Poincaré and the Three-Body Problem is a monograph in the history of mathematics on the work of Henri Poincaré on the three-body problem in celestial mechanics...

mechanics, the three-body problem is to take the initial positions and velocities (or momenta) of three point masses orbiting each other in space and then to...

Three body (disambiguation) Poincaré and the Three-Body Problem, a monograph in the history of mathematics on the work of Henri Poincaré on the three-body...

times. The two-body problem has been completely solved and is discussed below, as well as the famous restricted three-body problem. Knowing three orbital...

to pure and applied mathematics, mathematical physics, and celestial mechanics. In his research on the three-body problem, Poincaré became the first person...

in mathematics from the Open University, under supervision of Jeremy Gray, on Poincaré and the Three Body Problem. From 1993 to the present Barrow-Green...

ISSN 0143-0807. S2CID 119949261. Barrow-Green, June (1997). Poincaré and the Three Body Problem. American Mathematical Society. pp. 8–12. Bibcode:1997ptbp...

Hamilton, Henri Poincaré and George David Birkhoff, among others. The Euler three-body problem is known by a variety of names, such as the problem of two fixed...

algebra Poincaré–Bjerknes circulation theorem Poincaré complex Poincaré conjecture, one of the Millennium Prize Problems Generalized Poincaré conjecture...

asymptotic, and so on). Poincaré showed that the three-body problem is not integrable. In other words, the general solution of the three-body problem can not...

The two-body problem in general relativity (or relativistic two-body problem) is the determination of the motion and gravitational field of two bodies...

and mass gap The seventh problem, the Poincaré conjecture, was solved by Grigori Perelman in 2003. However, a generalization called the smooth four-dimensional...

Proof of the Poincaré Conjecture and the Geometrization Conjecture". arXiv:math.DG/0612069. Morgan, John W.; Tian, Gang Ricci Flow and the Poincaré Conjecture...

Barrow-Green (1994), "Oscar II's prize competition and the error in Poincaré's memoir on the three body problem", Archive for History of Exact Sciences, 48 (2):...

viscous stress and an external body force. Since the setting of the problem proposed by the Clay Mathematics Institute is in three dimensions, for an...

qualitative analysis goes back to the work of Henri Poincaré on the three-body problem in celestial mechanics. Around the same time, Aleksandr Lyapunov rigorously...

l'équation de Poincaré, Einstein et Planck: Henri Poincare et la physique". E = mc2 l'équation de Poincaré, Einstein et Planck: Henri Poincare et la physique...

example is the planetary movement of three bodies: while there is no closed-form solution to the general problem, Poincaré showed for the first time that...

be reached. Henri Poincaré stated that he valued sleep as a time for "unconscious thought" that helped him break through problems. Professor Stellan...

spacecraft's trajectory may be better approximated as a restricted three-body problem. This model is a closer approximation but lacks an analytic solution...

investigated the three-body problem, a theoretical basis of asteroid dynamics. It was also hard to criticize, as the jury (Weirstrass, Mittag-Leffler, and Hermite...

work focused on the mathematics of the three-body problem, and later the four-body problem, to calculate the orbits of the Moon around the Earth, as well...

Fermat's Last Theorem Three-body problem Riemann hypothesis Poincare conjecture P versus NP problem Navier–Stokes equation Mass gap Birch and Swinnerton-Dyer...

definition of singularities in the theory of general relativity, the current best theory of gravity, remains a difficult problem. A singularity in general...

by the French mathematicians around Henri Poincaré and Charles Émile Picard. Proving results such as the Poincaré–Bendixson theorem requires the use...

Archive Poincaré, Henri (1905), Science and Hypothesis, London and Newcastle-on-Tyne: The Walter Scott publishing Co. Poincaré, Henri (1906) [1904], "The Principles...

came from the list of Hilbert's problems that had been published at the beginning of the 20th century. In later versions, Smale also listed three additional...

and Russian mathematical physicist. He is known for the discovery of the Faddeev equations in the quantum-mechanical three-body problem and for the development...

most of the Lorentz transformations, Poincaré had them all. Cohn and Bucherer rejected the ether. Poincaré, Cohn, and Abraham had a physical interpretation...

he worked on mathematical problems of celestial mechanics (specifically, the three-body problem and the n-body problem) and studied bifurcations at elliptical...