Richard McGehee

Richard Paul McGehee (born 20 September 1943 in San Diego)[1] is an American mathematician, who works on dynamical systems with special emphasis on celestial mechanics.[2]

McGehee received from Caltech in 1964 his bachelor's degree and from University of Wisconsin–Madison in 1965 his master's degree and in 1969 his Ph.D. under Charles C. Conley with thesis Homoclinic orbits in the restricted three body problem.[3] As a postdoc he was at the Courant Institute of Mathematical Sciences of New York University. In 1970 he became an assistant professor and in 1979 a full professor at the University of Minnesota in Minneapolis, where he was from 1994 to 1998 the director of the Center for the Computation and Visualization of Geometric Structures.

In the 1970s he introduced a coordinate transformation (now known as the McGehee transformation) which he used to regularize singularities arising in the Newtonian three-body problem. In 1975 he, with John N. Mather, proved that for the Newtonian collinear four-body problem there exist solutions which become unbounded in a finite time interval.[4][5][6]

In 1978 he was an Invited Speaker on the subject of Singularities in classical celestial mechanics at the International Congress of Mathematicians in Helsinki.

Selected publications

References

  1. biographical information from American Men and Women of Science, Thomson Gale 2004
  2. Homepage for Richard McGehee at the U. of Minnesota
  3. Richard McGehee at the Mathematics Genealogy Project
  4. Mather, J. N.; McGehee, R. (1975). "Solutions of the collinear four body problem which become unbounded in finite time". Lecture Notes in Physics. 38: 573–597. doi:10.1007/3-540-07171-7_18.
  5. Saari, Donald G.; Xia, Zhihong (Jeff) (1995). "Off to infinity in finite time" (PDF). Notices AMS. 42 (5).
  6. Alain Chenciner (2007). "The three body problem". Scholarpedia.

External links

This article is issued from Wikipedia - version of the 6/17/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.