Chaos in Planar, Circular, Restricted Three-Body Problem

نویسندگان

چکیده

برای دانلود رایگان 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

Oscillatory motions for the restricted planar circular three body problem

In this paper we consider the circular restricted three body problem which models the motion of a massless body under the influence of the Newtonian gravitational force caused by two other bodies, the primaries, which move along circular planar Keplerian orbits. In a suitable system of coordinates, this system has two degrees of freedom and the conserved energy is usually called the Jacobi cons...

متن کامل

Aas 11-425 Flybys in the Planar, Circular, Restricted, Three-body Problem

This paper presents an analysis of gravity assisted flybys in the planar, circular, restricted three-body problem that is inspired by the Keplerian map and by the Tisserand-Poincaré graph. The Flyby map is defined and used to give new insight on the flyby dynamics and on the accuracy of the linked-conics model. The first main result of this work is using the Flyby map to extend the functionalit...

متن کامل

Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - Part II

We present a method for proving the existence of symmetric periodic, heteroclinic or homoclinic orbits in dynamical systems with the reversing symmetry. As an application we show that the Planar Restricted Circular Three Body Problem (PCR3BP) corresponding to the Sun-JupiterOterma system possesses an infinite number of symmetric periodic orbits and homoclinic orbits to the Lyapunov orbits. More...

متن کامل

Destruction of Invariant Curves in the Restricted Circular Planar Three Body Problem Using the Ordering Condition

This paper utilizes Aubry-Mather theory to construct instability regions for a certain three body problem. We consider a Sun-Jupiter-Comet system and under some simplifying assumptions and show the existence of instabilities for orbit of the comet. In particular we show that a comet which starts close to orbit of an ellipse of eccentricity e = 0.748 can increase in eccentricity up to e = 0.826....

متن کامل

Geometry of homoclinic Connections in a Planar Circular Restricted Three-Body Problem

Abstract. The stable and unstable invariant manifolds associated with Lyapunov orbits about the libration point L1 between the primaries in the planar circular restricted three-body problem with equal masses are considered. The behavior of the intersections of these invariant manifolds for values of the energy between the one of L1 and that of the other collinear libration points L2 and L3 is s...

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: Applied Mathematics

سال: 2013

ISSN: 2152-7385,2152-7393

DOI: 10.4236/am.2013.41008