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UID:DSC-5976
DTSTART;TZID=Europe/Berlin:20131029T164000
SEQUENCE:1383033505
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20131029T181000
URL:https://www.dresden-science-calendar.de/calendar/en/detail/5976
LOCATION:TUD\,    
SUMMARY:Laskar: Long term evolution and chaotic motion of the planets in t
 he Solar System
CLASS:PUBLIC
DESCRIPTION:Speaker: Prof. Dr. Jacques Laskar\nInstitute of Speaker: CNRS\,
  Observatoire de Paris\nTopics:\nPhysik\n Location:\n  Name: TUD (Physikge
 bäude\, Hörsaal PHY/B214\, Haeckelstr. 1-5)\n  Street:   \n  City:  \n  
 Phone: \n  Fax: \nDescription: Since its formulation by Newton\, the probl
 em of the stability of the Solar<br />System has fascinated astronomers an
 d mathematicians\, searching to prove its<br />stability. This quest also 
 gave birth to many important developments in<br />mathematics although the
 ir origin has often been lost in academic teaching. In<br />particular\, H
 enri Poincaré demonstrated that the perturbative methods of the<br />ast
 ronomers could not be used to provide an answer to the problem of stabilit
 y<br />on infinite time because the series that were used by astronomers a
 re in general<br />divergent. Nevertheless\, in the following of the work 
 of Poincaré\, since the<br />work of Kolmogorov in 1954\, KAM theorems ha
 ve provided new hopes for<br />mathematicians to prove the stability of t
 he Solar System. On the opposite\, the<br />recent numerical works on real
 istic models of the Solar System show that the<br />system is unstable in 
 the strong sense and that planetary collisions are<br />possible within th
 e lifetime of the Sun.<br /><br />These instabilities in the motion of th
 e planets result in an increase of the<br />uncertainty of the solutions 
 by a factor of 10 every 10 million of years in the<br />numerical integra
 tions of the system. The situation is even worse when the<br />largest ast
 eroids are taken into account\, and it will never be possible to<br />obta
 in a precise evolution of the Earth orbit over more than about 60 Myr.<br 
 /><br />These limitations are of particular importance when one attempts t
 o use the<br />astronomical variations of the insolation at the surface of
  the Earth to derive<br />an absolute geological time scale.
DTSTAMP:20260508T151904Z
CREATED:20131002T075037Z
LAST-MODIFIED:20131029T075825Z
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