Pulsating Different Curves of Zero Velocity around Triangular Equilibrium Points in Elliptical Restricted Three-Body Problem

The oblateness and the photogravitational effects of both the primaries on the location and the stability of the triangular equilibrium points in the elliptical restricted three-body problem have been discussed. The stability of the triangular points under the photogravitational and oblateness effects of both the primaries around the binary systems Achird, Lyeten, Alpha Cen-AB, Kruger 60, and Xi-Bootis, has been studied using simulation techniques by drawing different curves of zero velocity.

[1]  A. Umar,et al.  On the stability of triangular points in the elliptic R3BP under radiating and oblate primaries , 2012 .

[2]  A. Narayan,et al.  EXISTENCE AND STABILITY OF COLLINEAR EQUILIBRIUM POINTS IN ELLIPTICAL RESTRICTED THREE BODY PROBLEM UNDER THE EFFECTS OF PHOTOGRAVITATIONAL AND OBLATENESS PRIMARIES , 2012 .

[3]  A. Narayan,et al.  STABILITY OF TRIANGULAR EQUILIBRIUM POINTS IN ELLIPTICAL RESTRICTED THREE BODY PROBLEM UNDER THE EFFECTS OF PHOTOGRAVITATIONAL AND OBLATENESS OF PRIMARIES , 2011 .

[4]  A. Narayan,et al.  EFFECTS OF PHOTOGRAVITATIONAL AND OBLANTENSSS ON THE TRIANGULAR LAGRANGIAN POINTS IN THE ELLIPTICAL RESTRICTED THREE BODY PROBLEM , 2010 .

[5]  E. Forgács-dajka,et al.  A parametric study of stability and resonances around L4 in the elliptic restricted three-body problem , 2009 .

[6]  M. Ammar The effect of solar radiation pressure on the Lagrangian points in the elliptic restricted three-body problem , 2008 .

[7]  A. Markeev On one special case of parametric resonance in problems of celestial mechanics , 2005 .

[8]  V. Tkhai,et al.  Instability of Libration Points and Resonance Phenomena in the Photogravitational Elliptic Restricted Three-Body Problem , 2004 .

[9]  Z. Sándor,et al.  Symplectic Mapping for Trojan-Type Motion in the Elliptic Restricted Three-Body Problem , 2003 .

[10]  G. Roberts Linear Stability of the Elliptic Lagrangian Triangle Solutions in the Three-Body Problem , 2002 .

[11]  Z. Sándor,et al.  Short Time Lyapunov Indicators in the Restricted Three-Body Problem , 2001 .

[12]  P. P. Hallan,et al.  The Existence and Stability of Equilibrium Points in the Robe’s Restricted Three-Body Problem , 2001 .

[13]  S. Khasan Three-Dimensional Periodic Solutions to the Photogravitational Hill Problem , 1996 .

[14]  S. Khasan Librational solutions to the photogravitational restricted three-body problem. , 1996 .

[15]  C. Pinyol Ejection-collision orbits with the more massive primary in the planar elliptic restricted three body problem , 1995 .

[16]  Catalin Cucu-Dumitrescu,et al.  Infinitesimal orbits around lagrange points in the elliptic, restricted three-body problem , 1995 .

[17]  V. V. Markellos,et al.  Linear stability of the triangular equilibrium points in the photogravitational elliptic restricted problem, I , 1992 .

[18]  Vijay Kumar,et al.  Nonlinear stability of the triangular libration points for the photo gravitational elliptic restricted problem of three bodies , 1990 .

[19]  Judit Györgyey On the non-linear stability of motions around L5 in the elliptic restricted problem of the three bodies , 1985 .

[20]  R. Meire,et al.  The stability of the triangular points in the elliptic restricted problem , 1981 .

[21]  E. Rabe Elliptic Restricted Problem: Fourth-Order Stability Analysis of the Triangular Points , 1973 .

[22]  J. Tschauner Die Bewegung in der Nähe der Dreieckspunkte des elliptischen eingeschränkten Dreikörperproblems , 1971 .

[23]  E. Rabe Two New Classes of Periodic Trojan Librations in the Elliptic Restricted Problem and Their Stabilities , 1970 .

[24]  W. Jefferys A new class of periodic solutions of the three-dimensional restricted problem , 1966 .

[25]  W. Jefferys Doubly symmetric periodic orbits in the three-dimensional restricted problem , 1965 .

[26]  A. Bennett Characteristic Exponents of the Five Equilibrium Solutions in the Elliptically Restricted Problem , 1965 .

[27]  J. M. A. Danby,et al.  Stability of the triangular points in the elliptic restricted problem of three bodies , 1964 .