This work is licensed under the Creative Commons Attribution 4.0 International License.
Abouelmagd, E. I., Alhothuali, M. S., Guirao, L. G. J., Malaikah, H. M. (2015), The effect of zonal harmonic coefficients in the frameworkof the restricted three-body problem, Astrophys. Space Sci. 55: 1660 – 1672. Doi:10.1016/j.asr.2014.12.030AbouelmagdE. I.AlhothualiM. S.GuiraoL. G. J.MalaikahH. M.2015The effect of zonal harmonic coefficients in the frameworkof the restricted three-body problem551660167210.1016/j.asr.2014.12.030Open DOISearch in Google Scholar
Abouelmagd E. I., Alzahrani F., Guiro J. L. G., Hobiny A. (2016), Periodic orbits around the collinear libration points, J. Nonlinear Sci. Appl. (JNSA). 9 (4): 1716 – 1727. Doi:10.22436/jnsa.009.04.27AbouelmagdE. I.AlzahraniF.GuiroJ. L. G.HobinyA.2016Periodic orbits around the collinear libration points941716172710.22436/jnsa.009.04.27Open DOISearch in Google Scholar
Abouelmagd E. I., Asiri H. M., Sharaf M. A. (2013), The effect of oblateness in the perturbed restricted three-body problem, Meccanica 48: 2479 – 2490. Doi 10.1007/S11012-013-9762-3AbouelmagdE. I.AsiriH. M.SharafM. A.2013The effect of oblateness in the perturbed restricted three-body problem482479249010.1007/S11012-013-9762-3Open DOISearch in Google Scholar
Abouelmagd, E.I., Awad, M.E., Elzayat, E.M.A., Abbas, I.A. (2014), Reduction the secular solution to periodic solution in the generalized restricted three-body problem, Astrophys. Space Sci. 341: 495 – 505. Doi:10.1007/s10509-013-1756-zAbouelmagdE.I.AwadM.E.ElzayatE.M.A.AbbasI.A.2014Reduction the secular solution to periodic solution in the generalized restricted three-body problem34149550510.1007/s10509-013-1756-zOpen DOISearch in Google Scholar
Abouelmagd E. I., El-Shaboury S. M. (2012), Periodic orbits under combined effects of oblateness and radiation in the restricted problem of three bodies, Astrophys. Space Sci. 341: 331 – 341. Doi : 10.1007/s10509-012-1093-7AbouelmagdE. I.El-ShabouryS. M.2012Periodic orbits under combined effects of oblateness and radiation in the restricted problem of three bodies34133134110.1007/s10509-012-1093-7Open DOISearch in Google Scholar
Abouelmagd E. I. (2012), Existence and stability of triangular points in the restricted three-body problem with numerical applications, Astrophys. Space Sci. 342: 45 – 53. Doi 10.1007/s10509-012-1162-yAbouelmagdE. I.2012Existence and stability of triangular points in the restricted three-body problem with numerical applications342455310.1007/s10509-012-1162-yOpen DOISearch in Google Scholar
Abouelmagd E. I., Guirao J. L.G., Llibre J. (2019), Periodic orbits for the perturbed planar circular restricted 3–body problem, Discrete and Continuous Dynamical Systems - Series B (DCDS-B) 24 (3): 1007 – 1020. Doi:10.3934/dcdsb.2019003AbouelmagdE. I.GuiraoJ. L.G.LlibreJ.2019Periodic orbits for the perturbed planar circular restricted 3–body problem2431007102010.3934/dcdsb.2019003Open DOISearch in Google Scholar
Abouelmagd E. I., Mostafa A., Guiro J. L. G. (2015), A first order automated Lie transform. International Journal of Bifurcation and Chaos. 25 (14): 1540026. Doi:10.1142/S021812741540026XAbouelmagdE. I.MostafaA.GuiroJ. L. G.2015A first order automated Lie transform25141540026.10.1142/S021812741540026XOpen DOISearch in Google Scholar
Abouelmagd E. I., Guirao Juan L. G., Mostafa A. (2014), Numerical integration of the restricted thee-body problem with Lie series, Astrophys. Space Sci. 354 (2)P: 369 – 378. Doi 10.1007/s10509-014-2107-4AbouelmagdE. I.Guirao JuanL. G.MostafaA.2014Numerical integration of the restricted thee-body problem with Lie series354236937810.1007/s10509-014-2107-4Open DOISearch in Google Scholar
Abouelmagd E. I. (2013), The effect of photogravitational force and oblateness in the perturbed restricted three-body problem, Astrophys. Space Sci. 346: 51 – 69. Doi: 10.1007/s10509-013-1439-9AbouelmagdE. I.2013The effect of photogravitational force and oblateness in the perturbed restricted three-body problem346516910.1007/s10509-013-1439-9Open DOISearch in Google Scholar
Abouelmagd E. I. (2013), Stability of the triangular points under combined effects of radiation and oblateness in the restricted three–body problem, Earth Moon and Planets 110: 143 – 155. Doi: 10.1007/s11038-013-9415-5AbouelmagdE. I.2013Stability of the triangular points under combined effects of radiation and oblateness in the restricted three–body problem11014315510.1007/s11038-013-9415-5Open DOISearch in Google Scholar
Abouelmagd E. I., Sharaf M. A.(2013), The motion around the libration points in the restricted three–body problem with the effect of radiation and oblateness, Astrophys. Space Sci. 344: 321 – 332. Doi: 10.1007/s10509-012-1335-8AbouelmagdE. I.SharafM. A.2013The motion around the libration points in the restricted three–body problem with the effect of radiation and oblateness34432133210.1007/s10509-012-1335-8Open DOISearch in Google Scholar
Alzahrani F., Abouelmagd E. I., Guirao J. L. G., Hobiny A. (2017), On the libration collinear points in the restricted three–body problem, Open Physics 15 (1): 58 – 67. Doi:10.1515/phys-2017-0007AlzahraniF.AbouelmagdE. I.GuiraoJ. L. G.HobinyA.2017On the libration collinear points in the restricted three–body problem151586710.1515/phys-2017-0007Open DOISearch in Google Scholar
Beevi A. S., Sharma, R. K. (2012), Oblateness effect of Saturn on periodic orbits in the Saturn-Titan restricted three–body problem, Astrophys. Space Sci. 340: 245 – 261. Doi: 10.1007/s10509-012-1052-3BeeviA. S.SharmaR. K.2012Oblateness effect of Saturn on periodic orbits in the Saturn-Titan restricted three–body problem34024526110.1007/s10509-012-1052-3Open DOISearch in Google Scholar
Elipe A., Lara M.(1997), Periodic orbits in the restricted three body problem with radiation pressure, Celest. Mech. Dyn. Astron. 68: 1 – 11.ElipeA.LaraM.1997Periodic orbits in the restricted three body problem with radiation pressure6811110.1007/978-94-009-1477-3_34Search in Google Scholar
Elshaboury S. M., Abouelmagd E. I., Kalantonis V. S., Perdios E. A. (2016), The planar restricted three-body problem when both primaries are triaxial rigid bodies: Equilibrium points and periodic orbits, Astrophys. Space Sci. 361 (9): 315. Doi:10.1007/s10509-016-2894-xElshabouryS. M.AbouelmagdE. I.KalantonisV. S.PerdiosE. A.2016The planar restricted three-body problem when both primaries are triaxial rigid bodies: Equilibrium points and periodic orbits361931510.1007/s10509-016-2894-xOpen DOISearch in Google Scholar
Ishwar B., Elipe A. (2001), Secular solutions at triangular equilibrium point inthe generalized photogravitational restricted three body problem, Astrophys. Space Sci. 277: 437 – 446. Doi: 10.1023/A:1012528929233IshwarB.ElipeA.2001Secular solutions at triangular equilibrium point inthe generalized photogravitational restricted three body problem27743744610.1023/A:1012528929233Open DOISearch in Google Scholar
Greaves J. S., Holland W. S., Moriarty-Schieven G., Jenness T., Dent W. R. F., Zuckerman B., Mccarthy C., Webb R. A., Butner H. M., Gear W. K., Walker H. J. (1998), A dust ring around Eridani: analog to the young Solar System, Astrophys. J. 506: 133 – 137. Doi:10.1086/311652GreavesJ. S.HollandW. S.Moriarty-SchievenG.JennessT.DentW. R. F.ZuckermanB.MccarthyC.WebbR. A.ButnerH. M.GearW. K.WalkerH. J.1998A dust ring around Eridani: analog to the young Solar System50613313710.1086/311652Open DOISearch in Google Scholar
Jayawardhana R., Holland W. S., Greaves J. S., Dent W. R. F., Marcy G. W., Hartmann L. W., Fazio G. G. (2000), Dust in the 55 Cancri planetary system, The Astrophysical Journal 536, 425 – 428. Doi:10.1086/308942JayawardhanaR.HollandW. S.GreavesJ. S.DentW. R. F.MarcyG. W.HartmannL. W.FazioG. G.2000Dust in the 55 Cancri planetary system53642542810.1086/308942Open DOISearch in Google Scholar
Jiang I. G., Yeh L. C (2003), Bifurcation for dynamical systems of planet-belt interaction, Int. J. Bifurc. Chaos 13(3): 617 – 630. Doi:10.1142/s0218127403006807.JiangI. G.YehL. C2003Bifurcation for dynamical systems of planet-belt interaction13361763010.1142/s0218127403006807Open DOISearch in Google Scholar
Jiang, I.G., Yeh, L.C. (2004b), On the chaotic orbits of disk-star-planet systems, Astron. J. 128: 923 – 932. Doi:10.1086/422018.JiangI.G.YehL.C.2004bOn the chaotic orbits of disk-star-planet systems12892393210.1086/422018Open DOISearch in Google Scholar
Jiang I. G., Yeh L. C. (2004a), The drag-induced resonant capture for Kuiper belt objects, Mon. Not. R. Astron. Soc. 355: 29 – 32. Doi:10.1111/j.1365-2966.2004.08504.x.JiangI. G.YehL. C.2004aThe drag-induced resonant capture for Kuiper belt objects355293210.1111/j.1365-2966.2004.08504.xOpen DOISearch in Google Scholar
Jiang Y., Baoyin H. (2019), Periodic orbits related to the equilibrium points in the potential of Irregular–shaped minor celestial bodies, Results in Physics 12: 368 – 374. Doi.org/10.1016/j.rinp.2018.11.049.JiangY.BaoyinH.2019Periodic orbits related to the equilibrium points in the potential of Irregular–shaped minor celestial bodies12368374Doi.org/10.1016/j.rinp.2018.11.049.10.1016/j.rinp.2018.11.049Search in Google Scholar
Jung C., Zotos E. E. (2015), Order and chaos in a three dimensional galaxy model, Mechanics Research Communications 69: 45 – 53 Doi.org/10.1016/j.mechrescom.2015.06.005JungC.ZotosE. E.2015Order and chaos in a three dimensional galaxy model694553Doi.org/10.1016/j.mechrescom.2015.06.00510.1016/j.mechrescom.2015.06.005Search in Google Scholar
Kushvah B.S. (2008), The effect of radiation pressure on the equilibrium points in the generalised photogravitational restricted three body problem, Astrophys. Space Sci. 315: 231–241. Doi:10.1007/s10509-008-9823-6KushvahB.S.2008The effect of radiation pressure on the equilibrium points in the generalised photogravitational restricted three body problem31523124110.1007/s10509-008-9823-6Open DOISearch in Google Scholar
Miyamoto M., Nagai R. (1975), Three-dimensional models for the distribution of mass in galaxies, Publ. Astron. Soc. Jpn. 27: 533 – 543.MiyamotoM.NagaiR.1975Three-dimensional models for the distribution of mass in galaxies27533543Search in Google Scholar
Papadakis K.E. (2008), Families of asymmetric periodic orbits in the restricted three-body problem, Earth, Moon and Planets, 103: 25 – 42. Doi: 10.1007/s11038-008-9232-4PapadakisK.E.2008Families of asymmetric periodic orbits in the restricted three-body problem103254210.1007/s11038-008-9232-4Open DOISearch in Google Scholar
Pathak N., Abouelmagd E. I., Thomas V. O. (2019), On higher order of resonant periodic orbits in the photogravitational restricted three body problem, J of Astronaut Sci 66(4): 475 – 505. DOI: 10.1007/s40295-019-00178-zPathakN.AbouelmagdE. I.ThomasV. O.2019On higher order of resonant periodic orbits in the photogravitational restricted three body problem66447550510.1007/s40295-019-00178-zOpen DOISearch in Google Scholar
Pathak N., Thomas V. O., Abouelmagd E. I. (2019), The photogravitational restricted three-body problem: Analysis of resonant periodic orbits, Discrete and Continuous Dynamical Systems - Series S (DCDS-S) 12 (4&5): 849 – 875. Doi: 10.3934/dcdss.2019057PathakN.ThomasV. O.AbouelmagdE. I.2019The photogravitational restricted three-body problem: Analysis of resonant periodic orbits124&584987510.3934/dcdss.2019057Open DOISearch in Google Scholar
Pitjeva E. V., Pitjev N. P. (2016), Masses of asteroids and total mass of the main asteroid belt, International Astronomical Union, 318: 212 – 217, Doi:10.1017/S1743921315008388PitjevaE. V.PitjevN. P.2016Masses of asteroids and total mass of the main asteroid belt31821221710.1017/S1743921315008388Open DOISearch in Google Scholar
Selim H. H., Guirao J. L. G., Abouelmagd E. I. (2019), Libration points in the restricted three–body problem: Euler angles, existence and stability, Discrete and Continuous Dynamical Systems - Series S (DCDS-S) 12 (4&5): 703 – 710. Doi: 10.3934/dcdss.2019044SelimH. H.GuiraoJ. L. G.AbouelmagdE. I.2019Libration points in the restricted three–body problem: Euler angles, existence and stability124&570371010.3934/dcdss.2019044Open DOISearch in Google Scholar
Shibayama M., Yagasaki K.(2011) Families of symmetric relative periodic orbits Originating from the circular Euler solution in the isosceles three–body Problem, Celest. Mech. Dyn. Astron. 110: 53 – 70. Doi:10.1007/s10569-011-9338-2ShibayamaM.YagasakiK.2011Families of symmetric relative periodic orbits Originating from the circular Euler solution in the isosceles three–body Problem110537010.1007/s10569-011-9338-2Open DOISearch in Google Scholar
Singh J., Begha J. M.(2011), Periodic orbits in the generalized perturbed restricted three-body problem, Astrophys. Space Sci. 332: 319 – 324. Doi: 10.1007/s10509-010-0545-1SinghJ.BeghaJ. M.2011Periodic orbits in the generalized perturbed restricted three-body problem33231932410.1007/s10509-010-0545-1Open DOISearch in Google Scholar
Singh J., Taura J.J. (2013), Motion in the generalized restricted three-body problem, Astrophys. Space Sci. 343(1): 95 – 106. Doi:10.1007/s10509-012-1225-0.SinghJ.TauraJ.J.2013Motion in the generalized restricted three-body problem34319510610.1007/s10509-012-1225-0Open DOISearch in Google Scholar
Szebehely V. (1967), Theory of Orbits: The Restricted Problem of Three BodiesAcademic Press, New YorkSzebehelyV.1967Academic PressNew York10.1016/B978-0-12-395732-0.50016-7Search in Google Scholar
Yeh L. C., Jiang I. G. (2006), On the Chermnykh-like problems: II. The equilibrium points, Astrophys. Space Sci. 306: 189 – 200. Doi:10.1007/s10509-006-9170-4.YehL. C.JiangI. G.2006On the Chermnykh-like problems: II. The equilibrium points30618920010.1007/s10509-006-9170-4Open DOISearch in Google Scholar