Cite

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. 10.1007/s10509-012-1162-yAbouelmagdE.I.2012Existence and stability of triangular points in the restricted three-body problem with numerical applicationsAstrophys. Space Sci342455310.1007/s10509-012-1162-yOpen 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. 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 bodiesAstrophys. Space Sci34133134110.1007/s10509-012-1093-7Open 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. 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 oblatenessAstrophys. Space Sci34432133210.1007/s10509-012-1335-8Open 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. 10.1007/s11012-013-9762-3AbouelmagdE.I.AsiriH.M.SharafM.A.2013The effect of oblateness in the perturbed restricted three-body problemMeccanica482479249010.1007/s11012-013-9762-3Open 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. 10.1007/s11038-013-9415-5AbouelmagdE.I.2013Stability of the triangular points under combined effects of radiation and oblateness in the restricted three-body problemEarth Moon and Planets11014315510.1007/s11038-013-9415-5Open DOISearch in Google Scholar

Abouelmagd, E.I. (2013), The effect of photogravitational force and oblateness in the perturbed restricted three-body problem, Astrophysics Space Science 346: 51–69. 10.1007/s10509-013-1439-9AbouelmagdE.I.2013The effect of photogravitational force and oblateness in the perturbed restricted three-body problemAstrophysics Space Science346516910.1007/s10509-013-1439-9Open 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, Astrophysics Space Science 354: 369–378. 10.1007/s10509-014-2107-4AbouelmagdE.I.GuiraoJuan L.G.MostafaA.2014Numerical integration of the restricted thee-body problem with Lie seriesAstrophysics Space Science35436937810.1007/s10509-014-2107-4Open 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, Astrophysics Space Science 350: 495–505. 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 problemAstrophysics Space Science35049550510.1007/s10509-013-1756-zOpen DOISearch in Google Scholar

Abouelmagd, E.I., Alhothuali, M.S., Guirao, Juan L.G., Malaikah, H.M. (2015), The effect of zonal harmonic coefficients in the framework of the restricted three body problem, Advances in Space Research 55: 1660–1672. 10.1016/j.asr.2014.12.030AbouelmagdE.I.AlhothualiM.S.GuiraoJuan L.G.MalaikahH.M.2015The effect of zonal harmonic coefficients in the framework of the restricted three body problemAdvances in Space Research551660167210.1016/j.asr.2014.12.030Open DOISearch in Google Scholar

Abouelmagd, E.I., Alhothuali, M.S., Guirao, Juan L.G., Malaikah, H.M. (2015), Periodic and secular solutions in the restricted three-body problem under the effect of zonal harmonic parameters, Applied Mathematics & Information Science 9 (4): 1–11.AbouelmagdE.I.AlhothualiM.S.GuiraoJuan L.G.MalaikahH.M.2015Periodic and secular solutions in the restricted three-body problem under the effect of zonal harmonic parametersApplied Mathematics & Information Science94111Search in Google Scholar

Abouelmagd, E.I., Guirao, Juan L.G., Vera, Juan A. (2015), Dynamics of a dumbbell satellite under the zonal harmonic effect of an oblate body, Communications in Nonlinear Science and Numerical Simulation 20: 1057–1069. 10.1016/j.cnsns.2014.06.033AbouelmagdE.I.GuiraoJuan L.G.VeraJuan A.2015Dynamics of a dumbbell satellite under the zonal harmonic effect of an oblate bodyCommunications in Nonlinear Science and Numerical Simulation201057106910.1016/j.cnsns.2014.06.033Open DOISearch in Google Scholar

Bhatnagar, K.B., Hallan, P.P. (1978), Effect of perturbations in Coriolis and centrifugal forces on the stability of libration points in the restricted problem, Celest. Mech. 18: 105–112. 10.1016/S0032-0633(01)00043-5BhatnagarK.B.HallanP.P.1978Effect of perturbations in Coriolis and centrifugal forces on the stability of libration points in the restricted problemCelest. Mech1810511210.1016/S0032-0633(01)00043-5Open DOISearch in Google Scholar

Bhatnagar, K.B., Hallan, P.P. (1979), Effect of perturbed potentials on the stability of libration points in the restricted problem, Celest. Mech. 20: 95–103. 10.1007/BF01230231BhatnagarK.B.HallanP.P.1979Effect of perturbed potentials on the stability of libration points in the restricted problemCelest. Mech209510310.1007/BF01230231Open DOISearch in Google Scholar

Devi, G.S., Singh, R. (1994), Location of equilibrium points in the perturbed photogravitational circular restricted problem of three bodies, Bull Astr Soc India 22: 433–437.DeviG.S.SinghR.1994Location of equilibrium points in the perturbed photogravitational circular restricted problem of three bodiesBull Astr Soc India22433437Search in Google Scholar

Elipe, A., Ferrer, S. (1985), On the equilibrium solution in the circular planar restricted three rigid bodies problem, Celest. Mech. 37: 59–70. 10.1007/978-94-009-5398-7_38ElipeA.FerrerS.1985On the equilibrium solution in the circular planar restricted three rigid bodies problemCelest. Mech37597010.1007/978-94-009-5398-7_38Open DOISearch in Google Scholar

El-Shaboury, S.M. (1989), The equilibrium solutions of restricted problem of three axisymmetric rigid bodies, Earth, Moon and Planets 45: 205–211. 10.1007/BF00057743El-ShabouryS.M.1989The equilibrium solutions of restricted problem of three axisymmetric rigid bodiesEarth, Moon and Planets4520521110.1007/BF00057743Open DOISearch in Google Scholar

El-Shaboury, S.M., Shaker, M.O., El-Dessoky, A.E., El Tantawy, M.A. (1991), The Libration points of axisym-metric satellite in the gravitational field of two triaxial rigid body, Earth, Moon and Planets 52: 69–81. 10.1007/BF00113832El-ShabouryS.M.ShakerM.O.El-DessokyA.E.ElTantawy, M.A.1991The Libration points of axisym-metric satellite in the gravitational field of two triaxial rigid bodyEarth, Moon and Planets52698110.1007/BF00113832Open DOISearch in Google Scholar

El-Shaboury, S.M., El-Tantawy, M.A. (1989), Eulerian libration points of restricted problem of three oblate spheroids, Earth, Moon and Planets 63: 23–28. 10.1007/BF00572136El-ShabouryS.M.El-TantawyM.A.1989Eulerian libration points of restricted problem of three oblate spheroidsEarth, Moon and Planets63232810.1007/BF00572136Open DOISearch in Google Scholar

Khanna, M., Bhatnagar, K.B. (1999), 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, Indian J. Pure Appl. Math. 30 (7): 721–733. 10.1023/A:1011168605411KhannaM.BhatnagarK.B.1999Existence 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 spheroidIndian J. Pure Appl. Math30772173310.1023/A:1011168605411Open DOISearch in Google Scholar

Markellos, V.V., Papadakis, K.E., Perdios, E.A. (1996), Non-linear stability zones around triangular equilibria in the plane circular restricted three-body problem with oblateness, Astrophys Space Sci. 245: 157–164. 10.1007/BF00637811MarkellosV.V.PapadakisK.E.PerdiosE.A.1996Non-linear stability zones around triangular equilibria in the plane circular restricted three-body problem with oblatenessAstrophys Space Sci24515716410.1007/BF00637811Open DOISearch in Google Scholar

Mittal, A., Ahmad, I., Bhatnagar, K.B. (2009), Periodic orbits generated by Lagrangian solution of the restricted three body problem when one of the primaries is an oblate body, Astrophys Space Sci. 319: 63–73. 10.1007/s10509-008-9942-0MittalA.AhmadI.BhatnagarK.B.2009Periodic orbits generated by Lagrangian solution of the restricted three body problem when one of the primaries is an oblate bodyAstrophys Space Sci319637310.1007/s10509-008-9942-0Open DOISearch in Google Scholar

Murray, C.D., Dermott, S.F. (1999), Solar system dynamics, Cambridge University Press, Cambridge.MurrayC.D.DermottS.F.1999Solar system dynamicsCambridge University PressCambridge10.1017/CBO9781139174817Search in Google Scholar

Sharma, R.K., Subbarao, P.V. (1978), A case of commensurability induced by oblateness, Celest. Mech. 18: 185–194. 10.1007/BF01228715SharmaR.K.SubbaraoP.V.1978A case of commensurability induced by oblatenessCelest. Mech1818519410.1007/BF01228715Open DOISearch in Google Scholar

Sharma, R.K., Taqvi, Z.A., Bhatnagar, K.B. (2001), Existence of libration Points in the restricted three body problem when both primaries are triaxial rigid bodies, Indian J. Pure Appl. Math. 32 (1): 125–141. 10.1007/BF00113858SharmaR.K.TaqviZ.A.BhatnagarK.B.2001Existence of libration Points in the restricted three body problem when both primaries are triaxial rigid bodiesIndian J. Pure Appl. Math32112514110.1007/BF00113858Open DOISearch in Google Scholar

Shu, Sh., Lu, Bk. (2005), Effect of perturbation of Coriolis and Centrifugal forces on the location and linear stability of the libration points in the Robe problem, ChA&A 29: 421–429. 10.1016/j.chinastron.2005.10.009ShuShLuBk2005Effect of perturbation of Coriolis and Centrifugal forces on the location and linear stability of the libration points in the Robe problemChA&A2942142910.1016/j.chinastron.2005.10.009Open DOISearch in Google Scholar

Singh, J. (2009), Effect of perturbations on the nonlinear stability of triangular points in the restricted three-body problem with variable mass, Astrophys. Space Sci. 321: 127–135. 10.1007/s10509-009-0018-6SinghJ.2009Effect of perturbations on the nonlinear stability of triangular points in the restricted three-body problem with variable massAstrophys. Space Sci32112713510.1007/s10509-009-0018-6Open 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. 10.1007/s10509-010-0545-1SinghJ.BeghaJ.M.2011Periodic orbits in the generalized perturbed restricted three-body problemAstrophys. Space Sci33231932410.1007/s10509-010-0545-1Open DOISearch in Google Scholar

Subbarao, P.V., Sharma, R.K., (1975), A note on the stability of the triangular points of equilibrium in the restricted three-body problem, Astron. & Astrophys 43: 381–383.SubbaraoP.V.SharmaR.K.1975A note on the stability of the triangular points of equilibrium in the restricted three-body problemAstron. & Astrophys43381383Search in Google Scholar

Szebehely, V. (1967), Stability of the points of equilibrium in the restricted problem, Astron. J. 72: 7–9. 10.1086/110195SzebehelyV.1967Stability of the points of equilibrium in the restricted problemAstron. J.727910.1086/110195Open DOISearch in Google Scholar

Szebehely, V. (1967), Theory of orbits, Academic Press. New York.SzebehelyV.1967Theory of orbitsAcademic PressNew YorkSearch in Google Scholar

eISSN:
2444-8656
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics