By P. K. Seidelmann (auth.), R. Dvorak, J. Henrard (eds.)
This quantity comprises the papers awarded on the 3rd Alexander von Humboldt Colloquium on Celestial Mechanics. The papers disguise a wide range of questions of present curiosity, from the behaviour of airborne dirt and dust debris to the soundness of the sun method as a complete. The motions of asteroids and their class into households also are mentioned. particular subject matters addressed are KAM thought, chaotic motions, resonances, Lyapunov attribute exponents, perturbation conception and numerical integration.
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Additional info for Qualitative and Quantitative Behaviour of Planetary Systems: Proceedings of the Third Alexander von Humboldt Colloquium on Celestial Mechanics
As for the errorin the mean anomaly 6/, RK4 allows the quadratic increase in time although SI4 allows only the linear growth. This difference becomes significant for a long time integration. There is one problem with the error in the argument of pericenter 6w. Both integrators give linear growth of 6w, and the error by SI4 is much larger than that by RK4. RK4 is too good by some unknown reason for 6w, since the 6th order symplectic integrator (SI6) and the 6th order explicit Runge-Kutta method (RK6) give almost the same error in 6w (Kinoshita and Nakai, 1991).
We will compare the results of stability analyses for planar motions in this paper, but both approaches can be generalized to three-dimensional configurations. We will also assume circular motions for the binary. This assumption can also be generalized in the Laplace approach, but it may present some conceptual difficulties for Hill's method which is based on the existence of the Jacobian integral (which does not exist if the members of the binary move on elliptic orbits). 2. Review of Previous Work In 1982, a comparison was made (Black, 1982) between numerically integrated, general three-body problem (TBP) results and an analytically determined set of results for the restricted problem.
Serie 3, 3,341-360. , Santoro EJ. : 1980, "Ephemeris ofPluto"Jcarus,44,19-28. K. : 1988, "Planet X-The Current Status", Proceedings of the second Alexander von Humboldt colloquium on Celestial Mechanics: "Long term evolution of planetary systems" Ramsau, Auslria, March 13-19. : 1988, "Round table discussion about Planet X", Proceedings of the second Alexander von Humboldt colloquium on Celestial Mechanics: "Long term evolution of planetary systems" Ramsau, Auslria, March 13-19. W. (1980) "Some early vexing optical and mechanical Problems ofthe 13 Inch "Pluto" Telescope", Icarus, 44, 2-6.
Qualitative and Quantitative Behaviour of Planetary Systems: Proceedings of the Third Alexander von Humboldt Colloquium on Celestial Mechanics by P. K. Seidelmann (auth.), R. Dvorak, J. Henrard (eds.)