Mathematics – Dynamical Systems
Scientific paper
Sep 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..60....3l&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, vol. 60, no. 1, p. 3-28
Mathematics
Dynamical Systems
12
Astronomical Models, Chaos, Comets, Mapping, Orbit Calculation, Orbital Mechanics, Solar Orbits, Three Body Problem, Dynamical Systems, Elliptical Orbits, Equations Of Motion, Hamiltonian Functions, Oort Cloud, Solar System
Scientific paper
There exist many comets with near-parabolic orbits in the solar system. Among various theories proposed to explain their origin, the Oort cloud hypothesis seems to be the most reasonable. The theory assumes that there is a cometary cloud at a distance 103 to 107 from the sun and that perturbing forces from planets or stars make orbits of some of these comets become the near-parabolic type. Concerning the evolution of these orbits under planetary perturbations, we can raise the question: Will they stay in the solar system forever or will they escape from it? This is an attractive dynamical problem. If we go ahead by directly solving the dynamical differential equations, we may encounter the difficulty of long-time computation. For the orbits of these comets are near-parabolic and their periods are too long to study on their long-term evolution. With mapping approaches the difficulty will be overcome. In another aspect, the study of this model has special meaning for chaotic dynamics. We know that in the neighborhood of any separatrix i.e. the trajectory with zero frequency of the uperturbed motion of a Hamiltonian system, some chaotic motions have to be expected. Actually, the simplest example of separatrix is the parabolic trajectory of the two-body problem which separates the bounded and unbounded motion. From this point of view, the dynamical study of near-parabolic motion is very important. Petrosky's elegant but more abstract deduction gives a Kepler mapping which describes the dynamics of the cometary motion. In this paper we derive a similar mapping directly and discuss its dynamical characters.
Liu Jie
Sun Yi-Sui
No associations
LandOfFree
Chaotic motion of comets in near-parabolic orbit: Mapping aproaches does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Chaotic motion of comets in near-parabolic orbit: Mapping aproaches, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaotic motion of comets in near-parabolic orbit: Mapping aproaches will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1788966