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CATEGORIES:DAMTP Astro Mondays
SUMMARY:Recent advances in algorithms for long term integr
ations of planetary systems - Prof. Hanno Rein (To
ronto)
DTSTART;TZID=Europe/London:20191111T140000
DTEND;TZID=Europe/London:20191111T150000
UID:TALK129202AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/129202
DESCRIPTION:\nAccurately predicting the motion of planets has
kept astronomers busy since antiquity. After Newto
n published his law of universal gravitation in 16
87\, it became clear that none of the planets' orb
its were perfectly periodic. This immediately lead
s to the question of whether the Solar System can
remain stable over long timescales. By the end of
the 18th century Lagrange and Laplace were able to
formulate an analytic theory which was in good ag
reement of observation\, but the question of stabi
lity remained unanswered until a few decades ago.
Only the advent of fast computers made it possible
to calculate the motion of planets accurately eno
ugh to find that the Solar System is on the brink
of instability and has a finite chance of going un
stable within the lifetime of the Sun. \nAlthough
we have solved the question about the Solar System
's stability\, the discovery of thousands of other
planetary systems beyond our own Solar System pre
sents new challenges for fast and reliable numeric
al integration methods. We need these tools to val
idate and characterise planetary systems as well a
s to understand their formation history. After a h
istorical overview of the subject at the beginning
of my talk\, I will discuss why this is such a ha
rd problem from a mathematical point of view\, and
how one can nevertheless solve it. I will present
some recent developments of numerical integrators
with very high accuracy.
LOCATION:MR14\, Centre for Mathematical Sciences\, Wilberf
orce Road\, Cambridge
CONTACT:Chris Hamilton
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