Statistics – Computation
Scientific paper
Sep 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005o%26t....59....2h&link_type=abstract
Observations & Travaux, vol. 59, p. 2-17
Statistics
Computation
Scientific paper
4-Choregraphies : The study of systems made of N same mass bodies, circulating on one common planar orbit, shown a very sudden development in 2000 thanks to the joint power of Lagrangian algebra and of advanced numerical models. Within a few months, many systems were discovered.
5-the skeins : The skeins are three dimension systems with 2*n same mass bodies which are initially located at the apexes of a regular polygon. Algorithms on geometrical properties allow to establish catalogues; algorithms on virtual drawings enable to get initial parameters for numerical computation.
6-Experimental study of sensibility : Stability of orbits in celestial mechanics was extensively studied by sophisticated algebraic approaches. This experimental study of the sensibility as regard to variations in initial parameters is more intuitive and shows that such sensibility can exhibit different morphologies for different systems.
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