Exploring molecular motions in collinear and its isotopic HeH 2 ‘ variants using periodic orbits
نویسندگان
چکیده
Principal families of periodic orbits (POs) are identiÐed and their (in)stabilities examined for collinear 2 and its isotopic variants, HeHD` and HeDH`, on an ab initio potential energy surface. Continuation/bifurcation diagrams of these periodic orbits over a range of energies reveal a number of bifurcations and the period doubling route to classical chaos. The existence of a number of POs at any given energy suggests that there could be constructive and destructive interference between their contributions to the eigenfunction at that energy resulting in quantum mechanical resonances for these systems.
منابع مشابه
Periodic Orbits of a Collinear Restricted Three Body Problem
In this paper we study symmetric periodic orbits of a collinear restricted three body problem, when the middle mass is the largest one. These symmetric periodic orbits are obtained from analytic continuation of symmetric periodic orbits of two collinear two body problems.
متن کاملPeriodic orbits Near a heteroclinic Loop formed by One-Dimensional Orbit and a Two-Dimensional Manifold: Application to the charged Collinear Three-Body Problem
The paper is devoted to the study of a type of differential systems which appear usually in the study of some Hamiltonian systems with 2 degrees of freedom. We prove the existence of infinitely many periodic orbits on each negative energy level. All these periodic orbits pass near the total collision. Finally we apply these results to study the existence of periodic orbits in the charged collin...
متن کاملPeriodic orbits in the concentric circular restricted four-body problem and their invariant manifolds
We give numerical calculations of periodic orbits in the planar concentric restricted four-body problem. It is assumed that the motion of a massless body is governed by three primaries m1, m2 and m3. We suppose that m1 >> m2,m3 and that, in an m1 centered inertial reference frame, m2 and m3 move in different circles about m1 and m1 is fixed. Although the motion of the primaries m1,m2,m3 do not ...
متن کاملA Topological Existence Proof for the Schubart Orbits in the Collinear Three-body Problem
A topological existence proof is presented for certain symmetrical periodic orbits of the collinear three-body problem with two equal masses, called Schubart orbits. The proof is based on the construction of a Wazewski setW in the phase space. The periodic orbits are found by a shooting argument in which symmetrical initial conditions enteringW are followed under the flow until they exit W. Top...
متن کاملComputation of Three-Dimensional Periodic Orbits in the Sun-Earth System
From the last few decades, the space science community has shown considerable interest in missions which take place in the vicinity of the Lagrangian points in the restricted three-body problem (RTBP) of the Sun-Earth and the Earth-Moon systems [1]. Designing trajectories for these missions is a challenging task due to inadequacy of the conic approximations. The RTBP deals the situation where o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999