744
Views
5
CrossRef citations to date
0
Altmetric
Research Articles

Effect of variation of charge in the circular restricted three-body problem with variable masses

ORCID Icon, ORCID Icon, ORCID Icon & ORCID Icon
Pages 670-677 | Received 20 Jan 2019, Accepted 14 May 2019, Published online: 23 May 2019

References

  • Jeans JH. Astronomy and cosmogony. Cambridge: Cambridge University Press; 1928.
  • Meshcherskii IV. Studies on the mechanics of bodies of variable mass. Moscow: GITTL; 1949.
  • Meshcherskii IV. Works on the mechanics of bodies of variable mass. Moscow: GITT; 1952.
  • Shrivastava AK, Ishwar B. Equations of motion of the restricted problem of three bodies with variable mass. Celest Mech. 1983;30:323–328. doi: 10.1007/BF01232197
  • Dionysiou DD, Vaiopoulos DA. On the restricted circular three charged body problem. Astrophys Space Sci. 1987;135:253–260. doi: 10.1007/BF00641560
  • Dionysiou DD, Stamou GG. Stability of the restricted circular and charged three-body problem. Astrophys Space Sci. 1989;152:1–8. doi: 10.1007/BF00645980
  • Lukyanov LG. Particular solutions in the restricted problem of three bodies with variable mass. Astron Zh. 1989;66:180–187.
  • Singh J. Effect of perturbations on the location of equilibrium points in the restricted problem of three bodies with variable mass. Celest Mech. 1984;32(4):297–305. doi: 10.1007/BF01229086
  • Singh J, Ishwar B. Effect of perturbations on the stability of triangular points in the restricted problem of three bodies with variable mass. Celest Mech. 1985;35:201–207. doi: 10.1007/BF01227652
  • Singh J, Leke O. Stability of photogravitational restricted three-body problem with variable mass. Astrophys Space Sci. 2010;326(2):305–314. doi: 10.1007/s10509-009-0253-x
  • Singh J, Leke O. Existence and stability of equilibrium points in the robe's restricted three-body problem with variable masses. IJAA. 2013;3:113–122. doi:10.4236/ijaa.2013.32013.
  • Zhang MJ, Zhao CY, Xiong YQ. On the triangular libration points in photo-gravitational restricted three-body problem with variable mass. Astrophys Space Sci. 2012;337:107–113. doi:10.1007/s10509-011-0821-8.
  • Bengochea A, Vidal C. On a planar circular restricted charged three-body problem. Astrophys Space Sci. 2015;358(9.
  • Abouelmagd EI, Mostafa A. Out of plane equilibrium points locations and the forbidden movement regions in the restricted three-body problem with variable mass. Astrophys Space Sci. 2015;357(58. doi:10.1007/s10509-015-2294-7.
  • Ansari AA. Dynamics in the circular restricted three-body problem with perturbations. I J Adv Astro. 2017;5(1):19–25. doi: 10.14419/ijaa.v5i1.7102
  • Ansari AA, Kellil R, Alhussain ZA. Behaviour of an infinitesimal variable mass body in CR3BP; the primaries are finite straight segments. Punjab Univ J Math. 2019;51(5):107–120.
  • Alhussain ZA. Effects of Poynting-Robertson drag on the circular restricted three-body problem with variable masses. JTUSCI. 2018;12(4):455–463.
  • Ansari AA, Alhussain ZA, Kellil R. The effect of perturbations on the circular restricted four-body problem with variable masses. J Math Comp Sci. 2017;17(3):365–377. doi: 10.22436/jmcs.017.03.03
  • Douskos CN. Collinear equilibrium points of Hill's problem with radiation pressure and oblateness and their fractal basins of attraction. Astrophys Space Sci. 2010;326:263–271. doi: 10.1007/s10509-009-0213-5
  • Kumari X, Kushvah BS. Stability regions of equilibrium points in the restricted four-body problem with oblateness effects. Astrophys Space Sci. 2014;349:693–704. doi: 10.1007/s10509-013-1689-6
  • Asique MC, Prasad U, Hassan MR, et al. On the photogravitational R4BP when third primary is a triaxial rigid body. Astrophys Space Sci. 2016;361:361–379. doi: 10.1007/s10509-016-2959-x
  • Zotos EE. Fractal basins of attraction in the planar circular restricted three-body problem with oblateness and radiation pressure. Astrophys Space Sci. 2016;181(17):181. doi: 10.1007/s10509-016-2769-1
  • Zotos EE. Revealing the basins of convergence in the planar equilateral restricted four-body problem. Astrophys Space Sci. 2017;362(2):2. doi: 10.1007/s10509-016-2973-z
  • Mccuskey SW. Introduction to celestial mechanics. New York: Addison–Wesley; 1963.