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CATEGORIES:Astrophysics Talks Series
SUMMARY:Long-term dynamical simulations of planetary syste
ms - Hanno Rein\, University of Toronto
DTSTART:20191113T140000Z
DTEND:20191113T150000Z
UID:TALK3791AT
URL:/talk/index/3791
DESCRIPTION:Accurately predicting the motion of planets has ke
pt astronomers busy since antiquity. After Newton
published his law of universal gravitation in 1687
\, it became clear that none of the planets' orbit
s were perfectly periodic. This immediately leads
to the question of whether the Solar System can re
main stable over long timescales. By the end of th
e 18th century Lagrange and Laplace were able to f
ormulate an analytic theory which was in good agre
ement of observation\, but the question of stabili
ty remained unanswered until a few decades ago. On
ly the advent of fast computers made it possible t
o calculate the motion of planets accurately enoug
h to find that the Solar System is on the brink of
instability and has a finite chance of going unst
able within the lifetime of the Sun. \nAlthough we
have solved the question about the Solar System's
stability\, the discovery of thousands of other p
lanetary systems beyond our own Solar System prese
nts new challenges for fast and reliable numerical
integration methods. We need these tools to valid
ate and characterise planetary systems as well as
to understand their formation history. After a his
torical overview of the subject at the beginning o
f my talk\, I will discuss why this is such a hard
problem from a mathematical point of view\, and h
ow one can nevertheless solve it. I will present s
ome recent developments of numerical integrators w
ith very high accuracy
LOCATION:PW-SR1 (103)
CONTACT:Matteo Bianconi
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