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Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body


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Abdul Ahmad., Stability of straight-line solutions in the restricted problem of three bodies.(1995) Astr.J.64,163–169 AbdulAhmad. Stability of straight-line solutions in the restricted problem of three bodies 1995 Astr.J. 64 163 169 Search in Google Scholar

Abouelmagd E.I, Guirao J.L.G., On the perturbed restricted three-body problem. Applied mathematics and nonlinear science(2016)1 (1):123–144. AbouelmagdE.I GuiraoJ.L.G. On the perturbed restricted three-body problem Applied mathematics and nonlinear science 2016 1 1 123 144 10.21042/AMNS.2016.1.00010 Search in Google Scholar

Abouelmagd.E.I, Alzahrani.F, GuiroJ.L.G., Hobiny.A., Periodic orbits around the collinear libration points J.Nonlinear Sci.Appl.(JNSA).(20 16)9(4:1716–1727. AbouelmagdE.I. AlzahraniF. GuiroJ.L.G. HobinyA. Periodic orbits around the collinear libration points J.Nonlinear Sci.Appl.(JNSA) 2016 9 4 1716 1727 10.22436/jnsa.009.04.27 Search in Google Scholar

A.Eipe, Lara, M., Periodic orbits in the restricted three-body problem with radiation pressure. Celest Mech.Dyn. Astron. 68(1997) p.1 EipeA. LaraM. Periodic orbits in the restricted three-body problem with radiation pressure Celest Mech.Dyn. Astron. 68 1997 1 10.1023/A:1008233828923 Search in Google Scholar

A.K.Poddar, Z.A. Taqvi, Sanjay Jain and K.B. Bhatnagar., Existence of periodic orbits in the restricted problem when the smaller primary is a triaxial rigid body. Indian J.Pure.App.math (2002), 33(7); 977–991 PoddarA.K. TaqviZ.A. JainSanjay BhatnagarK.B. Existence of periodic orbits in the restricted problem when the smaller primary is a triaxial rigid body Indian J.Pure.App.math 2002 33 7 977 991 Search in Google Scholar

A.K Poddar, Z.A Taqvi, Sanjay Jain and K.B Bhatnagar., Existence of periodic orbits in the restricted problem of three bodies when the more massive body is a source of radiation and the smaller primary is a triaxial rigid body. Indian J. Pure.App.math (2002), 33(10); 1575–1594. PoddarA.K TaqviZ.A JainSanjay BhatnagarK.B Existence of periodic orbits in the restricted problem of three bodies when the more massive body is a source of radiation and the smaller primary is a triaxial rigid body Indian J. Pure.App.math 2002 33 10 1575 1594 Search in Google Scholar

Giorgio E.O. Giacagli., Periodic orbits of collision in the restricted problem of three bodies. (1967) Astron J 72 No,3, 386–91. GiacagliGiorgio E.O. Periodic orbits of collision in the restricted problem of three bodies 1967 Astron J 72 3 386 91 10.1086/110237 Search in Google Scholar

Gerard Gomez and Miguel Noguera., Some manifolds of periodic orbits in the restricted three-body problem. (1985) Celest.Mech.35,235–255. GomezGerard NogueraMiguel Some manifolds of periodic orbits in the restricted three-body problem 1985 Celest.Mech. 35 235 255 10.1007/BF01227655 Search in Google Scholar

J.Kadmoska and p Hadrava., Analytical continuation of stability of periodic orbits in the restricted three-body problem. (1990) Celest Mech.Dyn.astron.,48, 115–26 KadmoskaJ. HadravaP. Analytical continuation of stability of periodic orbits in the restricted three-body problem 1990 Celest Mech.Dyn.astron. 48 115 26 Search in Google Scholar

John D Hadjidemetreiou., Families of periodic orbits in the planar three-body problem. (1975b) Celst. Mech 12, 175–187. HadjidemetreiouJohn D Families of periodic orbits in the planar three-body problem 1975b Celst. Mech 12 175 187 10.1007/BF01230210 Search in Google Scholar

John D Hadjidemetreiou., The stability of periodic orbits in the three-body problem. (1975) Celst. Mech 12, 255–276 HadjidemetreiouJohn D The stability of periodic orbits in the three-body problem 1975 Celst. Mech 12 255 276 10.1007/BF01228563 Search in Google Scholar

K.B.Bhatnagar., Periodic orbits of collision in the plane elliptic restricted problem of three bodies. (1969) proc. nat. Inst. Sci. India 35A,no,6, 829–44 BhatnagarK.B. Periodic orbits of collision in the plane elliptic restricted problem of three bodies 1969 proc. nat. Inst. Sci. India 35A 6 829 44 Search in Google Scholar

K.B.Bhatnagar.Indian., Periodic orbits of collision in the plane circular problem of four bodies. (1971). J.pure appl.Math. 2,NO.4,583–596 BhatnagarK.B. Indian., Periodic orbits of collision in the plane circular problem of four bodies 1971 J.pure appl.Math. 2 4 583 596 Search in Google Scholar

K.B.Bhatnagar., Periodic orbits of collision in the restricted problem of three bodies in a three-dimensional coordinate system. (1971) Indian J.pure appl.Math. 3,NO.1,101–117 BhatnagarK.B. Periodic orbits of collision in the restricted problem of three bodies in a three-dimensional coordinate system 1971 Indian J.pure appl.Math. 3 1 101 117 Search in Google Scholar

K.B.Bhatnagar and Z.A.Taqvi., Periodic orbits of collision in the three-dimensional restricted problems of three bodies. (1976) Jnabha Sect A,6, 81–93 BhatnagarK.B. TaqviZ.A. Periodic orbits of collision in the three-dimensional restricted problems of three bodies 1976 Jnabha Sect A 6 81 93 Search in Google Scholar

Khanna and Bhatnagar., Existence and stability of liberation points in the restricted three-body problem when the smaller primary is a triaxial rigid body. (1999) Indian J.pure appl.Math. 30 (7), 721–33 Khanna Bhatnagar Existence and stability of liberation points in the restricted three-body problem when the smaller primary is a triaxial rigid body 1999 Indian J.pure appl.Math. 30 7 721 33 Search in Google Scholar

K.R.Mayer and D.S.Schmidt., Periodic orbits near L4 for mass ratio near the critical mass ratio of Routh.(1971) Ceiest.Mech.,4,99–109 MayerK.R. SchmidtD.S. Periodic orbits near L4 for mass ratio near the critical mass ratio of Routh 1971 Ceiest.Mech. 4 99 109 Search in Google Scholar

Levi-Civita, Sur19 resolution qualitative du problem restreint des trois corps.(1906) Acta Math, 30, 305 Levi-Civita Sur19 resolution qualitative du problem restreint des trois corps 1906 Acta Math 30 305 10.1007/BF02418577 Search in Google Scholar

Markellos, V. V., Numerical integration of the planar restricted three-body problem.2.periodic orbits of the second generation in the sun – jupiter system. (1974) Celest. Mech. 9, 365–80 MarkellosV. V. Numerical integration of the planar restricted three-body problem.2.periodic orbits of the second generation in the sun – jupiter system 1974 Celest. Mech. 9 365 80 10.1007/BF01228578 Search in Google Scholar

N.D. Caranicolas., Exact periodic orbits and chaos in polynomial potentials. (2000) Astrophys.Space sci 271, No. 4,341–52. CaranicolasN.D. Exact periodic orbits and chaos in polynomial potentials 2000 Astrophys.Space sci 271 4 341 52 10.1023/A:1002428309701 Search in Google Scholar

Periodos and C.G.Zgorous and Rogos., Three-dimensional bifurcations of periodic solution around the triangular equilibrium points of the restricted three-body problem. (1991) Celest Mech.Dyn. Astron 51, 349–62 Periodos ZgorousC.G. Rogos Three-dimensional bifurcations of periodic solution around the triangular equilibrium points of the restricted three-body problem 1991 Celest Mech.Dyn. Astron 51 349 62 10.1007/BF00052927 Search in Google Scholar

Richard, Scuflaire., Periodic orbits in analytical planar galactic potentials. (1998) Celest Mech.Dynam.Astron. 71, No. 3,203–28 ScuflaireRichard Periodic orbits in analytical planar galactic potentials 1998 Celest Mech.Dynam.Astron. 71 3 203 28 10.1023/A:1008390804052 Search in Google Scholar

Salem, Mathlouthi., Periodic orbits of the restricted three-body problem. (1998) trans, Amer. Math.soc,350, No 6, 2265–76. MathlouthiSalem Periodic orbits of the restricted three-body problem 1998 trans, Amer. Math.soc 350 6 2265 76 10.1090/S0002-9947-98-01731-0 Search in Google Scholar

V. Szebehel., Theory of orbits (1967). Academic Press, Inc, New York pp 242–264. SzebehelV. Theory of orbits 1967 Academic Press, Inc New York 242 264 Search in Google Scholar

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