ELDAR STRAUME (NTNU):
"The three-body problem"
We start with a brief review of the historical roots and the role of the classical three-body problem, including its influence on the development of mathematics up to the 20th century.
Here it is also appropriate to recall the celebration of his Majesty King Oscar II's 60 year anniversary in 1889. Why?
The "three-body problem" was (in a certain sense) solved in 1912, not by Poincare who became famous because of his efforts on this topic, but by the Finnish astronomer Karl Sundman. However, the problem has many facets. One of the major issues has been the search for periodic solutions and their stability properties. Already Euler (1767) and Lagrange(1772) found some explicit solutions, but since then nobody has ever "found" another explicit periodic solution, until 1999. Why could not Poincare discover the rather simple example of the figure eight solution?
Next we will describe some rather new geometric approach (since 1995) to the three-body problem, which actually led to the figure eight solution. As a direct result of this discovery a whole family of related periodic n-body motions have been discovered during the last few years, namely the socalled "choreography" solutions. Today you can easily obtain the necessary data at appropriate web pages and play the beautiful dancing choreographies on your PC schreen. Try for example : http://www.soe.ucsc.edu/~charlie/3body/
1430-1530 i pausearealet i 7. etage
Kaffe og kjeks fra kl 1400