Dynamics of the parabolic restricted three-body problem
نویسندگان
چکیده
منابع مشابه
Dynamics of Capture in the Restricted Three-Body Problem
We propose a new dynamical model for capture of irregular moons which identifies chaos as the essential feature responsible for initial temporary gravitational trapping within a planet’s Hill sphere. The key point is that incoming potential satellites get trapped in chaotic orbits close to “sticky” KAM tori in the neighbourhood of the planet, possibly for very long times, so that the chaotic la...
متن کاملCaustics of the restricted three-body problem
Trajectories of the planar, circular, restricted threebody problem are given in the configuration space through the caustics associated to the invariant tori of quasi-periodic orbits. It is shown that the caustics of trajectories librating in any particular resonance display some features associated to that resonance. This method can be considered complementary to the Poincaré surface of sectio...
متن کاملDynamics in the centre manifold of the collinear pointsof the Restricted Three Body Problem
This paper focuses on the dynamics near the collinear equilibrium points L 1;2;3 of the spatial Restricted Three Body Problem. It is well known that the linear behaviour of these three points is of the type centercentersaddle. To obtain an accurate description of the dynamics in an extended neighbourhood of those points, two diierent (but complementary) strategies are used. First, the Hamiltoni...
متن کاملSome results on the global dynamics of the regularized restricted three-body problem with dissipation
We perform an analysis of the dynamics of the circular, restricted, planar three–body problem under the effect of different kinds of dissipation (linear, Stokes and Poynting– Robertson drags). Since the problem is singular, we implement a regularization technique in the style of Levi–Civita. The effect of the dissipation is often to decrease the semi–major axis; as a consequence the minor body ...
متن کاملAn Analysis of Stability in the Restricted Three-body Problem
The three body problem studies the motion of three masses whose gravitational attraction have an effect on each other. The dynamics of the three body problem are essentially different from those of two bodies, because in the latter case, an analytical solution may be found that admits orbits in the form of conic sections. This problem has been studied at great length and is the basis of most of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Nonlinear Science and Numerical Simulation
سال: 2015
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2015.05.025