On the classification of orbits in the three-dimensional Copenhagen problem with oblate primaries

@article{Zotos2019OnTC,
  title={On the classification of orbits in the three-dimensional Copenhagen problem with oblate primaries},
  author={Euaggelos E. Zotos and Jan Nagler},
  journal={International Journal of Non-Linear Mechanics},
  year={2019}
}
  • E. ZotosJ. Nagler
  • Published 1 January 2019
  • Physics
  • International Journal of Non-Linear Mechanics
View PDF on arXiv
6 Citations
Background Citations
1

6 Citations

Orbital analysis in the planar circular Copenhagen problem using polar coordinates

  • E. Zotos
  • Physics
    Mathematical Methods in the Applied Sciences
  • 2019
We examine the orbital dynamics of the planar Copenhagen problem, by classifying sets of starting conditions of orbits, expressed in polar coordinates. Specifically, we examine how the Jacobi…

On the Stability of the Triangular Equilibrium Points in the Elliptic Restricted Three-Body Problem with Radiation and Oblateness

The elliptic restricted three-body problem when the primary is a source of radiation and the secondary is an oblate spheroid is considered and the stability of the triangular equilibrium points is…

Orbit Taxonomy in an Electromagnetic Binary System of Two Magnetic Dipoles

  • E. Zotos
  • Physics
    Int. J. Bifurc. Chaos
  • 2020
The orbital dynamics of a binary system of two magnetic dipoles is elucidated by utilizing the grid classification method, and the target is to unveil how the total energy is revealed through the Jacobi method.

The study of periodic orbits in the spatial collinear restricted four-body problem with non-spherical primaries

In the current manuscript, we have explored the spatial collinear restricted four-body problem(SCR4BP) in which the three bodies, known as primaries, are situated in the collinear Euler’s…

On the periodic orbits around the collinear libration points in the SCR4BP with non-spherical primaries

In this paper, we have drawn the periodic orbits in the restricted four-body problem. The fourth body of infinitesimal mass moves under the Newtonian gravitational law due to three mass points (known…

Orbit classification in the restricted three-body problem with the effect of three-body interaction

References

SHOWING 1-10 OF 77 REFERENCES

How does the oblateness coefficient influence the nature of orbits in the restricted three-body problem?

We numerically investigate the case of the planar circular restricted three-body problem where the more massive primary is an oblate spheroid. A thorough numerical analysis takes place in the…

Crash test for the Copenhagen problem with oblateness

The case of the planar circular restricted three-body problem where one of the two primaries is an oblate spheroid is investigated. We conduct a thorough numerical analysis on the phase space mixing…

Orbital dynamics in the planar Saturn-Titan system

We use the planar circular restricted three-body problem in order to numerically investigate the orbital dynamics of orbits of a spacecraft, or a comet, or an asteroid in the Saturn-Titan system in a…

Collinear equilibria and their characteristic exponents in the restricted three-body problem when the primaries are oblate spheroids

In this paper location of the collinear libration points is investigated numerically, by taking the oblateness of the primaries into consideration, for 19 systems of astronomical interest. It is…

Escape dynamics and fractal basins boundaries in the three-dimensional Earth-Moon system

The orbital dynamics of a spacecraft, or a comet, or an asteroid in the Earth-Moon system in a scattering region around the Moon using the three dimensional version of the circular restricted…

Revealing the escape mechanism of three-dimensional orbits in a tidally limited star cluster

The aim of this work is to explore the escape process of three-dimensional orbits in a star cluster rotating around its parent galaxy in a circular orbit. The gravitational field of the cluster is…

The linear stability of libration points of the photogravitational restricted three-body problem when the smaller primary is an oblate spheroid

This paper deals with the stationary solutions of the planar restricted three-body problem when the more massive primary is a source of radiation and the smaller primary is an oblate spheroid with…

The Sitnikov family and the associated families of 3D periodic orbits in the photogravitational RTBP with oblateness

We consider the photogravitational restricted three-body problem with oblateness and study the Sitnikov motions. The family of straight line oscillations exists only in the case where the primaries…

Oblateness effect of Saturn on periodic orbits in the Saturn-Titan restricted three-body problem

We explore the effect of oblateness of Saturn (more massive primary) on the periodic orbits and the regions of quasi-periodic motion around both the primaries in the Saturn-Titan system in the…

Types of escapes in a simple Hamiltonian system

When the energy of the orbits in a Hamiltonian system is larger than the escape energy many (but not all) orbits escape. The proportion of escaping orbits and the direction of escape depend on the…
...