Periodic Orbits of Quantised Restricted Three-Body Problem

نویسندگان

چکیده

In this paper, perturbed third-body motion is considered under quantum corrections to analyse the existence of periodic orbits. These orbits are studied through two approaches identify first (second) periodic-orbit types. The essential conditions given in order prove that circular (elliptical) rotating Kepler problem (RKP) can continue third body where a massive primary has excessive gravitational force over smaller body. primaries moved around each other orbits, and mass ratio was assumed be sufficiently small. We types by using terminologies Poincaré for quantised motion.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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 کامل

Periodic Orbits of the Planar Collision Restricted 3–body Problem

Using the continuation method we prove that the circular and the elliptic symmetric periodic orbits of the planar rotating Kepler problem can be continued into periodic orbits of the planar collision restricted 3–body problem. Additionally, we also continue to this restricted problem the so called “comets orbits”.

متن کامل

Numerical Computation of Normal Forms around some Periodic Orbits of the Restricted Three Body Problem

In this paper we introduce a general methodology for computing numerically the normal form around a periodic orbit of an autonomous analytic Hamiltonian system The process follows two steps First we expand the Hamiltonian in suit able coordinates around the orbit and second we perform a standard normal form scheme based on the Lie series method This scheme is carried out up to some nite order a...

متن کامل

Families of periodic horseshoe orbits in the restricted three-body problem

We compute families of symmetric periodic horseshoe orbits in the restricted three-body problem. Both the planar and three-dimensional cases are considered and several families are found. We describe how these families are organized as well as the behavior along and among the families of parameters such as the Jacobi constant or the eccentricity. We also determine the stability properties of in...

متن کامل

Quasi-Periodic Orbits of the Restricted Three-Body Problem Made Easy

A new fully numerical method is presented which employs multiple Poincaré sections to find quasi-periodic orbits. The main advantages of this method are the small overhead cost of programming and very fast execution times, robust behavior near chaotic regions that leads to full convergence for given family of quasi-periodic orbits and the minimal memory required to store these orbits. This meth...

متن کامل

ذخیره 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: Universe

سال: 2023

ISSN: ['2218-1997']

DOI: https://doi.org/10.3390/universe9030149