click to view the MPEG movie (cliquez pour voir le film MPEG)

N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite) computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors) [Intégration du problème des N-corps (N=4: une étoile, une planète lourde et une planète légère avec un satellite) calculé avec 2 options d'optimisation différentes (sensibilité aux ereurs d'arrondi)].




The same program is compiled 2 times with 2 different optimization options and then is run with exactly the same initial conditions -see bottom left picture- (the computer used is a Linux PC -Intel(R) Xeon(R) CPU 3.07GHz- under Linux 2.6.32-504.8.1.el6.x86_64 with gcc (GCC) 4.4.7 20120313 (Red Hat 4.4.7-4))




There is no difference between this sensitivity to rounding-off errors N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors) and the sensitivity to initial conditions N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 slightly different sets of initial conditions (sensitivity to initial conditions) .


(the computations correspond to a physical duration of 88 terrestrial years)


See some related pictures (possibly including this one):

N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light) -yellow body point of view- N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light) -blue body point of view- N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light) -white body point of view- N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light) -orange body point of view-


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