The motion of infinitesimal body in CR4BP with variable masses and Albedo effect

References

• Moulton FR. On a class of particular solutions of the problem of four bodies. Trans Am Math Soc. 1900;1:17–29.
   Google Scholar
• Simo C. Relative equilibrium solutions in the four body problem. Celest Mech. 1978;18:165–184.
   Google Scholar
• Majorana A. On a four-body problem. Celest Mech. 1981;25:267–270.
   Google Scholar
• Michalodmitrakis M. The circular restricted four-body problem. Astrophys Space Sci.. 1981;75:289–30.
   Web of Science ®Google Scholar
• Baltagiannis A, Papadakis KE. Equilibrium points and their stability in the restricted four body problem. Int J Bifurcat Chaos. 2011;21(8):2179–2193. doi: 10.1142/S0218127411029707.
   Web of Science ®Google Scholar
• Abdullah A. Periodic orbits around Lagrangian points of the circular restricted four-body problem. Invertis J Sci Technol. 2014;7(1):29–38.
   Google Scholar
• Papadakis KE. Families of three-dimensional periodic solutions in the circular restricted four-body problem. Astrophys Space Sci. 2016;361:129.
   Web of Science ®Google Scholar
• Kalvouridis TJ, Arribas M, Elipe A. Dynamical properties of the restricted four-body problem with radiation pressure. Mech Res Commun. 2006;33:811–817.
   Web of Science ®Google Scholar
• Papadouris JP, Papadakis KE. Equilibrium points in the photogravitational restricted four-body problem. Astrophys Space Sci. 2013;344:21–38.
   Web of Science ®Google Scholar
• Papadouris JP, Papadakis KE. Periodic solutions in the photogravitational restricted four-body problem. MNRAS. 2014;442:1628–1639.
   Web of Science ®Google Scholar
• Singh J, Vincent AE. Equilibrium points in the restricted four-body problem with radiation pressure. Few-Body Syst. 2016;57:83–91.
   Web of Science ®Google Scholar
• Singh J, Vincent AE. Out-of-plane equilibrium points in the photogravitational restricted four-body problem with oblateness. British J Math Comput Sci. 2016;19(5):1–15.
   Google Scholar
• Jeans JH. Astronomy and cosmogony. Cambridge: Cambridge University Press; 1928.
   Google Scholar
• Meshcherskii IV. Works on the mechanics of bodies of variable mass. GITTL Moscow; 1952.
   Google Scholar
• Shrivastava AK, Ishwar B. Equations of motion of the restricted problem of three bodies with variable mass. Celest Mech. 1983;30:323–328.
   Google Scholar
• Lichtenegger H. The dynamics of bodies with variable masses. Celest Mech.. 1984;34:357–368.
   Google Scholar
• Singh J. Effect of perturbations on the location of equilibrium points in the restricted problem of three-bodies with variable mass. Celest Mech. 1984;32:297–305.
   Google Scholar
• 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.
   Google Scholar
• Singh J. Photogravitational restricted three-body problems with variable mass. Indian J Pure Appl Math. 2003;32(2):335–341.
   Google Scholar
• Singh J, Leke O. Stability of photogravitational restricted three-body problem with variable mass. Astrophys Space Sci. 2010;326(2):305–314.
   Web of Science ®Google Scholar
• Singh J, Leke O. Existence and stability of equilibrium points in the Robe's restricted three-body problem with variable masses. Int J Astron Astrophys. 2013;3:113–122. doi.org/10.4236/ijaa.2013.32013.
   Google Scholar
• Lukyanov LG. On the restricted circular conservative three-body problem with variable masses. Astron Lett. 2009;35(5):349–359.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• 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
   Web of Science ®Google Scholar
• Ansari AA. Stability of the equilibrium points in the photogravitational circular restricted four-body problem with the effect of perturbations and variable mass. Sci Int. 2016;28:859–866.
   Google Scholar
• Ansari AA. The photogravitational circular restricted four-body problem with variable masses. J Eng Appl Sci. 2016;3(2):30–38.
   Google Scholar
• Ansari AA. The circular restricted four-body problem with variable masses. Nonlinear Sci Lett A. 2017;8(3):303–312.
   Google Scholar
• Ansari AA, Kellil R, Alhussain ZA. Locations and stability of the libration points in the CR3BP with perturbations. J Math Analysis. 2017;8(5):131–144.
   Web of Science ®Google Scholar
• Ansari AA, Kellil R, Alhussain ZA. The effect of perturbations on the circular restricted four-body problem. J Math Computer Sci. 2017;17(3):365–377.
   Web of Science ®Google Scholar
• Ansari AA, Alhussain ZA, Prasad S. Circular restricted three-body problem when both the primaries are heterogeneous spheroid of three layers and infinitesimal body varies its mass. J Astrophys Astr. 2018;39:57.
   Web of Science ®Google Scholar
• Alhussain ZA. The yarkovsky effect on the circular restricted three-body problem with perturbations. Adv Differ Equ Control Process. 2018;19(3):156–168.
   Web of Science ®Google Scholar
• Alhussain ZA. Effect of Poynting-Robertson drag on the circular restricted three-body problem with variable masses. J Taibah Univ Sci. 2018;12(4):455–1463.
   Web of Science ®Google Scholar
• Anselmo L, Farinella P, Milani A, Nobili AM. Effects of the Earth reflected sunlight on the orbit of the LAGEOs satellite. Astron Astrophys. 1983;117(1):1–3.
   Web of Science ®Google Scholar
• Bhanderi DDV, Bak T. Modeling Earth Albedo Satellites in Earth orbit. AIAA Guidance, Navigation and Control Proceedings, San Franciso, CA, 2005
   Google Scholar
• Harris M, Lyle R. Spacecraft Radiation Torque. NASA Space Vehicle Design Criteria (Guidance and Control) NASA SP-8027, 1969; October 1–37
   Google Scholar
• Idrisi M Javed, Ullah M Shahbaz. Non-collinear libration points in ER3BP with albedo effect and oblateness. J Astrophys Astro. 2018;39(3):10. doi:10.1007/s12036-018-9520-y
   Web of Science ®Google Scholar
• Idrisi M Javed. A study of libration points in CR3BP under albedo effect. Int J Adv Astro. 2017;5(1):01–06.
   Google Scholar
• Idrisi MJaved. A study of libration points in modified CR3BP under albedo effect when smaller primary is an ellipsoid. J Astronautical Sci. 2017;64(4):379–398. doi:10.1007/s40295-017-0115-7.
   Web of Science ®Google Scholar
• Idrisi MJaved, Ullah MShahbaz. Restricted three-body problem with albedo effect when smaller primary is an oblate spheroid. Global J Sci Frontier Res. 2017;17(5):09–24.
   Google Scholar
• Idrisi MJaved. A study of libration points in CR3BP under albedo effect. Int J Adv Astron. 2017;5(1):01–06.
   Google Scholar
• MacDonald M, McInnes C. Solar sail science mission applications and advancement. Adv Space Res. 2011;48:1702–1716.
   Web of Science ®Google Scholar
• Pontus A. Attitude estimation from magnometer and earth-albedo-corrected coarse Sun sensor measurements. J Acta Astonautica. 2005;56:1–2.
   Web of Science ®Google Scholar
• Rocco EM. Evaluation of the terestrial Albedo-Applied to some scientific missions. Space Sci Rev. 2009;151:135–147. DOI 10.1007/s11214-009-9622-6.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• Kumari R, Kushvah BS. Stability regions of equilibrium points in the restricted four-body problem with oblateness effects. Astrophys Space Sci. 2014;349:693–704.
   Web of Science ®Google Scholar
• 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.
   Google Scholar
• Zotos EE. Revealing the basins of convergence in the planar equilateral restricted four-body problem. Astrophys Space Sci. 2017;362:2.
   Web of Science ®Google Scholar
• Moulton FR. An introduction to celestial mechanic. 2nd ed. New York: Dover; 1914.
   Google Scholar