Richard McGehee

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Richard Paul McGehee (born September 20, 1943 in San Diego ) is an American mathematician who deals with dynamic systems, especially celestial mechanics .

McGehee studied at Caltech with a bachelor's degree in 1964 and at the University of Wisconsin – Madison , where he made his master's degree in 1965 and received his doctorate in 1969 from Charles Conley ( Homoclinic orbits in the restricted three body problem ). He was a post-doctoral student at the Courant Institute of Mathematical Sciences of New York University . In 1970 he became Assistant Professor and 1979 Professor at the University of Minnesota at Minneapolis, where he was at the Center for the Computation and Visualization of Geometric Structures (from 1994 to 1998 as Director).

In the 1970s he introduced coordinates with which he regularized the singularities in three-body thrusts. In 1975 he and John Mather showed that in the collinear four-body problem, two-fold collisions can accumulate in such a way that they transport a particle to infinity in a finite time.

In 1978 he was invited speaker at the International Congress of Mathematicians in Helsinki ( Singularities in classical celestial mechanics ).

Fonts

  • Editor with Kenneth R. Meyer Twist mappings and their applications , Springer Verlag 1992
  • From Zeipel 's Theorem on singularities in celestial mechanics , Expositiones Mathematicae, Volume 4, 1986, pp. 335-345
  • Triple collision in the collinear three body problem , Inventiones Mathematicae, Volume 29, 1974, pp. 191-227

Web links

Individual evidence

  1. Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project
  3. ^ Mather, McGehee Solutions of the collinear four body problem which become unbounded in finite time , Lecture Notes in Physics, Volume 38, 1975, pp. 573-597
  4. ^ Saari, Xia Off to infinity in finite time , Notices AMS, 1995, pdf
  5. ^ Alain Chenciner The three body problem