@Article{AbdulRaheem2006, author=" A. R. AbdulRaheem, J. Singh", title="Combined effects of perturbations, radiation, and oblateness on the stability of equilibrium points in the restricted three-body problem", journal="Astron. J.", year="2006", pages="1880–1885. ", volume="131" } @Article{AbdulRaheem2008, author="A. R. AbdulRaheem, J. Singh", title="Combined effects of perturbations, radiation, and oblateness on the periodic orbits in the restricted three-body problem", journal="Astrophys. Space Sci.", year="2008", pages="9–13. ", volume="317" } @Article{Abouelmagd2013, author="E. I. Abouelmagd, H. M. Asiri, M. A. Sharaf", title="The effect of oblateness in the perturbed restricted three-body problem ", journal="Meccanica", year="2013", pages="2479–2490. ", volume="48" } @Article{Abouelmagd2012, author="E. I. Abouelmagd, S. M. El-Shaboury", title="Periodic orbits under combined effects of oblateness and radiation in the restricted problem of three bodies", journal="Astrophys. Space Sci.", year="2012", pages=" 331–341. ", volume="341" } @Article{Abouelmagd2016, author="E. I. Abouelmagd, J. L. G. Guirao", title="On the perturbed restricted three-body problem", journal="Appl. Math. Nonlinear Sci.", year="2016", pages="123–144. ", volume="1" } @Article{Abouelmagd2015, author="E. I. Abouelmagd, A. Mostafa", title="Out of plane equilibrium points locations and the forbidden movement regions in the restricted three-body problem with variable mass", journal=" Astrophys. Space Sci.", year="2015", pages="10 pages. ", volume="357" } @Article{Ansari2016, author="A. A. Ansari", title="Stability of the equilibrium points in the circular restricted four body problem with oblate primary and variable mass", journal=" Int. J. Adv. Astron.", year="2016", pages="14–19. ", volume="4" } @Article{Ansari2016, author=" A. A. Ansari", title="Stability of the Libration points in the photogravitational circular restricted four-body problem with the effect of perturbations variable mass", journal="Sci. Int. (Lahore) ", year="2016", pages="859–866. ", volume="28" } @Article{Ansari2017, author="A. A. Ansari", title=" Dynamics in the circular restricted three body problem with perturbations", journal=" Int. J. Adv. Astron.", year="2017", pages=" 19–25. ", volume="5" } @Article{Ansari2017, author="A. A. Ansari, R. Kellil", title="Periodic motion of Martian moon’s satellite", journal="Nonlinear Sci. Lett. A", year="2017", pages=" 171–177. ", volume="8" } @Article{Asique2015, author=" M. C. Asique, U. Prasad, M. R. Hassan, M. S. Suraj", title="On the R4BP when third primary is an oblate spheroid", journal=" Astrophys. Space Sci.", year="2015", pages="13 pages.", volume="357" } @Article{Asique2016, author=" M. C. Asique, U. Prasad, M. R. Hassan, M. S. Suraj", title="On the photogravitational R4BP when the third primary is a triaxial rigid body", journal=" Astrophys. Space Sci.", year="2016", pages="18 pages. ", volume="361" } @Article{Bhatnagar1978, author="K. B. Bhatnagar, P. P. Hallan", title="Effect of perturbations in coriolis and centrifugal forces on the stability of libration points in the restricted problem", journal=" Celestial Mech.", year="1978", pages=" 105–112.", volume="18" } @Article{Bhatti2016 , author=" M. M. Bhatti, T. Abbas, M. M. Rashidi", title="A new numerical simulation of MHD stagnation-point flow over a permeable stretching/shrinking sheet in porous media with heat transfer", journal="Iran. J. Sci. Technol. Trans. A Sci.", year="2016 ", pages=" 7 pages. ", volume="2016 " } @Article{Bhatti2016, author="M. M. Bhatti, T. Abbas, M. M. Rashidi, M. S. Ali", title=" Numerical simulation of entropy generation with thermal radiation on MHD Carreau nanofluid towards a shrinking sheet", journal="Entropy", year="2016", pages=" 14 pages. ", volume="18" } @Article{Bhatti2016, author=" M. M. Bhatti, T. Abbas, M. M. Rashidi, M. S. Ali, Z.-G. Yang", title=" Entropy generation on MHD Eyring-Powell nanofluid through a permeable stretching surface", journal="Entropy", year="2016", pages="14 pages. ", volume="18" } @Article{Bhatti2016 , author="M. M. Bhatti, S. R. Mishra, T. Abbas, M. M. Rashidi", title="A mathematical model of MHD nanofluid flow having gyrotactic microorganisms with thermal radiation and chemical reaction effects", journal="Neural Comput. Appl.", year="2016 ", pages="13 pages. ", volume="2016 " } @Article{Bhatti2016, author=" M. M. Bhatti, M. M. Rashidi", title="Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet", journal="J. Mol. Liq.", year="2016", pages="567–573. ", volume="221" } @Article{Bhatti2016 , author="M. M. Bhatti, M. M. Rashidi", title="Numerical simulation of entropy generation on MHD nanofluid towards a stagnation point flow over a stretching surface", journal=" Int. J. Appl. Comput. Math.", year="2016 ", pages="15 pages. ", volume="2016 " } @Article{Ceccaroni2012, author=" M. Ceccaroni, J. Biggs", title="Low-thrust propulsion in a coplanar circular restricted four body problem", journal="Celestial Mech. Dynam. Astronom.", year="2012", pages="191–219. ", volume="112" } @Article{Assis2014, author="S. C. de Assis, M. O. Terra", title="Escape dynamics and fractal basin boundaries in the planar Earth-Moon system", journal="Celestial Mech. Dynam. Astronom.", year="2014", pages="105–130. ", volume="120" } @Article{Douskos2010, author=" C. N. Douskos", title=" Collinear equilibrium points of Hills problem with radiation and oblateness and their fractal basins of attraction", journal=" Astrophys. Space Sci.", year="2010", pages=" 263–271. ", volume="326" } @Article{Falaye2015, author="B. J. Falaye", title="Effect of oblateness, radiation and a circular cluster of material points on the stability of equilibrium points in the restricted four-body problem", journal=" Few-Body Syst.", year="2015", pages=" 29–40. ", volume="56" } @Article{Hallan2008 , author=" P. P. Hallan, K. B. Magang", title="Effect of perturbations in coriolis and centrifugal forces on the nonlinear stability of equilibrium point in robe’s restricted circular three-body problem", journal="Adv. Astron.", year="2008 ", pages=" 21 pages. ", volume="2008 " } @Article{Hallan2001, author="P. P. Hallan, N. Rana", title=" Effect of perturbations in coriolis and centrifugal forces on the location and stability of the equilibrium point in the Robe’s circular restricted three body problem ", journal="Planet. Space Sci.", year="2001", pages="957–960.", volume="48" } @Article{Paricio2016, author=" L. J. Hernández Paricio", title="Bivariate Newton-Raphson method and toroidal attraction basins", journal="Numer. Algorithms", year="2016", pages="349–381. ", volume="71" } @Book{Jeans1929, author=" J. H. Jeans", title=" Astronomy and cosmogony", year="1929", publisher="Cambridge University Press", address="Cambridge" } @Article{Khan2016, author="A. A. Khan, S. Muhammad, R. Ellahi, Q. M. Z. Zia", title="Bionic study of variable viscosity on MHD peristaltic flow of Pseudoplastic fluid in an asymmetric channel", journal=" J. Magn.", year="2016", pages=" 273–280. ", volume="21" } @Article{Khanna1998, author="M. Khanna, K. B. Bhatnagar", title="Existence and stability of libration points in the restricted three body problem when the smaller primary is a triaxial rigid body", journal=" Indian J. Pure Appl. Math.", year="1998", pages="1011–1023.", volume="29" } @Article{Khanna1999, author=" M. Khanna, K. B. Bhatnagar", title="Existence and stability of libration points in the restricted three body problem when the smaller primary is a triaxial rigid body and the bigger one an oblate spheroid", journal="Indian J. Pure Appl. Math.", year="1999", pages="721–733. ", volume="30" } @Article{Kumari2014, author="R. Kumari, B. S. Kushvah", title="Stability regions of equilibrium points in restricted four-body problem with oblateness effects", journal=" Astrophys. Space Sci.", year="2014", pages=" 693–704. ", volume="349" } @Article{Leandro2006, author=" E. S. G. Leandro", title="On the central configurations of the planar restricted four-body problem", journal="J. Differential Equations", year="2006", pages="323–351. ", volume="226" } @Article{Luk’yanov2009, author="L. G. Luk’yanov", title="On the restricted circular conservative three-body problem with variable masses ", journal="Astron. Lett.", year="2009", pages="349–359.", volume="35" } @Article{Majorana1981, author="A. Majorana", title="On a four-body problem", journal="Celestial Mech. Dynam. Astronom.", year="1981", pages="267–270. ", volume="25" } @Article{Matthies2016, author="G. Matthies, M. Salimi, S. Sharifi, J. L. Varona", title=" An optimal three-point eighth-order iterative method without memory for solving nonlinear equations with its dynamics", journal=" Jpn. J. Ind. Appl. Math.", year="2016", pages="751–766. ", volume="33" } @Book{McCuskey1963, author=" S. W. McCuskey", title="Introduction to celestial mechanics", year="1963", publisher="Addisson-Wesley", address="New York" } @Article{Meščerskiĭ1952, author=" I. V. Meščerskiĭ", title=" Raboty po mehanike tel peremennoĭmassy", journal="(Russian) [[Works on the mechanics of bodies of variable mass.]] 2d ed., Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow", year="1952", pages=" 280 pages. ", volume="" } @Article{Mittal2016, author="A. Mittal, R. Aggarwal, M. S. Suraj, V. S. Bisht", title="Stability of libration points in the restricted four-body problem with variable mass", journal="Astrophys. Space Sci.", year="2016", pages=" 14 pages. ", volume="361" } @Article{Moulton 1900, author="F. R. Moulton ", title="On a class of particular solutions of the problem of four bodies", journal=" Trans. Amer. Math. Soc.", year="1900", pages="17–29.", volume="1" } @Article{Papadakis2016, author=" K. E. Papadakis", title="Families of asymmetric periodic solutions in the restricted four-body problem ", journal="Astrophys. Space Sci.", year="2016", pages=" 15 pages. ", volume="361" } @Article{Papadakis2016, author=" K. E. Papadakis", title="Families of three-dimensional periodic solutions in the circular restricted four-body problem ", journal="Astrophys. Space Sci.", year="2016", pages="14 pages.", volume="361" } @Article{Papadouris2013, author=" J. P. Papadouris, K. E. Papadakis", title=" Equilibrium points in the photogravitational restricted four-body problem", journal=" Astrophys. Space Sci.", year="2013", pages=" 21–38. ", volume="344" } @Article{Papadouris2014, author="J. P. Papadouris, K. E. Papadakis", title=" Periodic solutions in the photogravitational restricted four-body problem", journal="Mon. Not. R. Astron. Soc.", year="2014", pages=" 1628–1639. ", volume="442" } @Article{Suraj2013, author=" M. Sanam Suraj, M. R. Hassan", title="Solution of Sitnikov restricted four body problem when all the primaries are oblate bodies: circular case", journal="Proc. Pakistan Acad. Sci.", year="2013", pages=" 61–79. ", volume="50" } @Article{Sharma1975, author="R. K. Sharma, P. V. S. Rao", title="Collinear equilibria and their characteristic exponents in the restricted three-body problem when the primaries are oblate spheroids", journal="Celestial Mech. Dynam. Astronom.", year="1975", pages=" 189–201.", volume="12" } @Article{Shrivastava1991, author="A. K. Shrivastava, D. Garain", title="Effect of perturbation on the location of libration point in the Robe restricted problem of three bodies", journal=" Celestial Mech. Dynam. Astronom.", year="1991", pages="67–73. ", volume="51" } @Article{Shrivastava1983, author=" A. K. Shrivastava, B. Ishwar", title="Equations of motion of the restricted problem of three bodies with variable mass", journal="Celestial Mech.", year="1983", pages="323–328.", volume="30" } @Article{Shu2005, author="S.-H. Shu, B.-K. Lu", title="Effect of perturbation of coriolis and Centrifugal forces on the location and linear stability of the libration points in the Robe problem", journal=" Chin. Astron. Astrophys.", year="2005", pages="421–429. ", volume="29" } @Article{Simó1978, author="C. Simó", title="Relative equilibrium solutions in the four-body problem", journal=" Celestial Mech.", year="1978", pages="165–184. ", volume="18" } @Article{Singh2003, author=" J. Singh", title=" Photogravitational restricted three-body problem with variable mass", journal=" Indian J. Pure Appl. Math.", year="2003", pages=" 335–341. ", volume="34" } @Article{Singh2009, author=" J. Singh", title="Combined effects of oblateness and radiation on the nonlinear stability of \(L_4\) in the restricted three-body problem", journal="Astron. J.", year="2009", pages=" 3286–3292.", volume="137" } @Article{Singh1984, author=" J. Singh, B. Ishwar", title="Effect of perturbations on the location of equilibrium points in the restricted problem of three bodies with variable mass", journal=" Celestial Mech.", year="1984", pages="297–305. ", volume="32" } @Article{Singh1985, author="J. Singh, B. Ishwar", title="Effect of perturbations on the stability of triangular points in the restricted problem of three bodies with variable mass", journal=" Celestial Mech. Dynam. Astronom.", year="1985", pages="201–207. ", volume="35" } @Article{Singh2010, author=" J. Singh, O. Leke", title=" Stability of the photogravitational restricted three-body problem with variable masses", journal="Astrophys. Space Sci.", year="2010", pages=" 305–314. ", volume="326" } @Article{Singh2013 , author="J. Singh, O. Leke", title="Robe’s restricted three-body problem with variable masses and perturbing forces", journal=" ISRN Astron. Astrophys.", year="2013 ", pages=" 8 pages.", volume="2013 " } @Article{Singh2017, author=" J. Singh, A. Umar", title=" Effect of oblateness of an artificial satellite on the orbits around the triangular points of the Earth-Moon system in the axisymmetric ER3BP", journal=" Differ. Equ. Dyn. Syst.", year="2017", pages="11–27. ", volume="25" } @Article{Singh2015, author="J. Singh, A. E. Vincent", title="Effect of perturbations in the coriolis and centrifugal forces on the stability of equilibrium points in the restricted four-body problem", journal="Few-Body Syst.", year="2015", pages=" 713–723.", volume="56" } @Article{Singh2016, author="J. Singh, A. E. Vincent", title="Equilibrium points in the restricted four-body problem with radiation pressure", journal=" Few-Body Syst.", year="2016", pages="83–91. ", volume="57" } @Article{Singh2016, author=" J. Singh, A. E. Vincent", title="Out-of-plane equilibrium points in the photogravitational restricted four-body problem with oblateness ", journal="British J. Math. Comput. Sci.", year="2016", pages="1–15. ", volume="19" } @Article{Vafai2015, author="K. Vafai, A. A. Khan, S. Sajjad, R. Ellahi", title="The study of peristaltic motion of third grade fluid under the effects of Hall current and heat transfer", journal=" Z. Naturforsch. A", year="2015", pages=" 281–293. ", volume="70" } @Article{Zhang2012, author="M.-J. Zhang, C.-Y. Zhao, Y.-Q. Xiong", title="On the triangular libration points in photogravitational restricted three-body problem with variable mass", journal=" Astrophys. Space Sci.", year="2012", pages=" 107–113. ", volume="337" } @Article{Zotos2016, author=" E. E. Zotos", title=" Fractal basin boundaries and escape dynamics in a multiwell potential", journal=" Nonlinear Dynam.", year="2016", pages=" 1613– 1633. ", volume="85" } @Article{Zotos2016, author=" E. E. Zotos", title="Fractal basins of attraction in the planar circular restricted three-body problem with oblateness and radiation pressure", journal=" Astrophys. Space Sci.", year="2016", pages=" 17 pages. ", volume="181" } @Article{Zotos2016 , author="E. E. Zotos", title="Investigating the Newton-Raphson basins of attraction in the restricted three-body problem with modified Newtonian gravity", journal="J. Appl. Math. Comput.", year="2016 ", pages=" 19 pages. ", volume="2016 " } @Article{Zotos2017, author=" E. E. Zotos", title="Revealing the basins of convergence in the planar equilateral restricted four-body problem", journal="Astrophys. Space Sci.", year="2017", pages="19 pages.", volume="362" }