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CATEGORIES:Trinity Mathematical Society
SUMMARY:Contact Geometry in Dynamics: the 3-Body Problem -
Prof Gabriel Paternain
DTSTART;TZID=Europe/London:20120220T083000
DTEND;TZID=Europe/London:20120220T093000
UID:TALK36605AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/36605
DESCRIPTION:We have known for a long time how to write down th
e equations of motion of a satellite that moves un
der the influence of the gravitational fields of t
he Earth and the Moon\, but surprisingly\, we stil
l do not fully understand the long term behaviour
of the satellite since we cannot explicitly solve
the equations. At the end of the 19th century\, Po
incare noticed the presence of chaos in the system
and kick-started the modern theory of dynamical s
ystems. Recently a new type of geometry called con
tact geometry (the odd dimensional relative of sym
plectic geometry) has been proposed as a tool for
understanding this old problem in celestial mechan
ics. In the talk I will try to explain what contac
t geometry is and why it is relevant for the 3-bod
y problem.
LOCATION:Winstanley Lecture Theatre\, Trinity College
CONTACT:Mary Fortune
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