Skip to content
Research Article Open access CC BY 4.0

Primaries Oblateness Effects on the Collinear Libration Points in the Restricted-three Body Problem

M. N. Ismail, A. H. Ibrahim, G. H. F. Mohamadin, W. A. Okasha

Journal of Advances in Mathematics and Computer Science · pp. 1–8 · Published 25 Oct 2019

10.9734/jamcs/2019/v34i230210

Abstract

In this work, the canonical Hamiltonian form of the restricted three- body problem including the effects of primaries oblateness is presented. Moreover, the collinear libration points are obtained. In addition to this, the relation between position of libration points and variation in (mass ration , oblateness coefficients A1 and A2) is studied. The results obtained are a good agreement with Perdios [1] & Singh [2].  The Poincare surface section PSS is used to illustrate the stability of motion around each of the collinear libration points. A numerical application on the real system Earth-Moon is presented.

Restricted three body problem oblateness effects Poincare surface of section stability motion libration points

References (6)

  1. 1 Theory of Orbits: The Restricted Problem of Three Bodies [DOI]
  2. 2 Combined effects of perturbations, radiation and oblateness on the periodic orbits in the restricted three-body problem [DOI]
  3. 3 Libration points in the restricted three-body problem: Euler angles, existence and stability [DOI]
  4. 4 A Hill Problem with Oblate Primaries and Effect of Oblateness on Hill Stability of Orbits [DOI]
  5. 5 Perturbation effects in the generalized circular restricted three-body problem [DOI]
  6. 6 Variation Mass Effects on the Stability of Libration Points of Restricted Three Body Problem (Laplace Transformation) [DOI]

Cited by 0

No indexed citations yet.

Related research

Article metrics

Real usage data collected on this platform.

47

Page views

0

PDF downloads

30

Outbound clicks

0

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.