IIMAS - FENOMEC
UNAM
Resumen:
By definition a
choreography (dancing curve) is the trajectory on which n
bodies move chasing each other without collisions. The first
choreography (the remarkable Figure Eight) of zero angular
momentum was discovered numerically by the physicist C Moore
in 1993 for 3 equal mass bodies in Newtonian gravity, in
completely unexpected manner, and rediscovered by two
mathematicians A Chenciner and R Montgomery at
2000. At the moment about 6,000 choreographies are known,
all numerically in Newtonian gravity. A number of
choreographies is known also for Lenard-Jones potential
again numerically.
Do exist (non)-Newtonian gravity for which dancing curve is
known analytically? - Yes, one example is known -
it is the algebraic lemniscate of Bernoulli - and it will be
the subject of the talk.
(Joint work with A. Turbiner ICN-UNAM)
Informes: coloquiomym@gmail.com, o al 5622-3564.