17 Result(s)
within
Chapter
R. Dvorak
Astronomy, Observations and Techniques
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Chapter and Conference Paper
Chaotic Dynamics in Planetary Systems
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Chapter and Conference Paper
On the Stability of the Terrestrial Planets as Models for Exosolar Planetary Systems
All results, achieved up to now, show the long term stability of our planetary system, although, especially the inner solar system is chaotic, due to some specific secular resonances. We study, by means of num...
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Chapter and Conference Paper
A Stability Study of S-Type Orbits in the Binary Gliese 86
The binary Gliese 86 is about 11 pc away from the Sun in the constellation Eridanus in the southern hemisphere; a Kl main sequence star (= m 1) and a brown dwarf (= m 2) build this dou...
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Chapter and Conference Paper
The Phase Space Structure of the General Sitnikov Problem
In the General Sitnikov Problem two primaries of equal masses (m 1 = m 2) move on perturbed Keplerian orbits because of the presence of a third non-zero mass confined to the axis (z-axis) ...
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Chapter and Conference Paper
Proper Elements and Stability of the Trojan Asteroids
Up to now ∼ 400 asteroids are known which move close to the Lagrangian equilibrium points L 4 (246) and L 5 (167) of Jupiter. In this investigation the orbits of all known Trojans ...
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Chapter and Conference Paper
Trojans in Stable Chaotic Motion
The orbits of 13 Trojan asteroids have been calculated numerically in the model of the outer solar system for a time interval of 100 million years. For these asteroids (1997) determined Lyapunov times less than 1...
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Chapter
Introduction
This chapter contains some new developments in the theory of dynamical systems.
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Chapter
Commission 7: Celestial Mechanics (Mécanique Céleste)
Since the last report, Commission 7 has supported IAU Symposium No. 172 “Dynamics, Ephemerides and Astrometry of the Solar System” (Paris, 1995) and co-supported IAU Colloquium No. 165 “Dynamics and Astrometry...
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Chapter
Depletion of the Asteroid Belt at Resonances
The existence of gaps and groups in the distribution of outer belt asteroid orbits, at resonances with Jupiter’s orbit, is explained by different rates of destruction of the flow of regular motions by Saturn p...
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Chapter and Conference Paper
Numerical Results to the Sitnikov-Problem
We present numerical results of the so-called Sitnikov-problem, a special case of the three-dimensional elliptic restricted three-body problem. Here the two primaries have equal masses and the third body moves...
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Chapter and Conference Paper
Generalized Lyapunov Exponents Indicators in Hamiltonian Dynamics: An Application to a Double Star System
The Lyapunov characteristic numbers (LCNs) which are defined as the mean value of the distribution of the local variations of the tangent vectors to the flow (=ln α k i ...
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Chapter and Conference Paper
Progress In The Elliptic Restricted 3-Body Problem: Asteroids In The 2/1, 3/1 And 1/1 Resonance
We report on recent research of the elliptic restricted three-body-problem concerning the motion of Asteroids in the 2/1, 3/1 and 1/1 mean motion resonances with Jupiter. In a recent review (J. Henrard, 1988) ...
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Chapter and Conference Paper
Long Term Evolution of Comet Halleys Orbit
The aim of the paper is to study the long term evolution of comet Halleys orbit taking into account small errors in the initial conditions. Recent papers deal with map** methods to model cometary dynamics; (...
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Chapter and Conference Paper
New Results on the Possible Chaotic Motion of Enceladus
New results are shown for the possible long term evolution of the orbit of Enceladus perturbed by Dione in the 2:1 resonance in the planar elliptic restricted problem. The numerical integrations of the secular...
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Chapter and Conference Paper
Stability of Periodic Resonance-Orbits in the Elliptic Restricted 3-Body Problem
Results of families of periodic orbits in the elliptic restricted problem are shown. They are calculated for the mass ratios μ = 0.5 and μ = 0.1 for the primary bodies and for different values of the eccentric...
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Chapter and Conference Paper
Numerical Experiments on Planetary Orbits in Double Stars
This is a numerical study of orbits in the elliptic restricted three-body problem concerning the dependence of the critical orbits on the eccentricity of the primaries. They are defined as being the separatrix...
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Chapter and Conference Paper
Application of Lie-Series to Numerical Integration in Celestial Mechanics
W. Gröbner gave in his book “Lie-series and Their Applications” the definition of this series. With a linear differential operator D we can evaluate the terms of a convergent series. For testing, this method i...
