Existence and stability of collinear equilibrium points in elliptical restricted three body problem under the radiating primaries

Existence of Resonance Stability of Triangular Equilibrium Points in Circular Case of the Planar Elliptical Restricted Three-Body Problem under the Oblate and Radiating Primaries around the Binary System

“…Thus, the value of responsible for stable equilibrium points is given by critical = 0.0385208965 ⋅ ⋅ ⋅ + 0.83601 1 + 0.535048 2 − 0.0334405 (1) + 0.0780279 (2) .…”

“…The corresponding value of for 2 = 1/2 is given by 0 = 0.02859547921 ⋅ ⋅ ⋅ + 11.04854 1 − 2.35702260 2 − 127.2792 (1) + 296.9848481 (2) .…”

“…This motivates our studies of stability of triangular equilibrium points under the resonance, when both of the primaries are oblate spheroid and source of radiation. The stability of infinitesimal around the equilibrium points of the elliptical restricted three bodies has been studied [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and also the authors have investigated the different aspects of the same problem. The existence of the libration points and their stability in the radiational elliptical restricted three-body problem has been investigated [14].…”

Effects of radiation on stability of triangular equilibrium points in elliptic restricted three body problem

“…Furthermore, the nonlinear stability of the infinitesimal in the orbits or the size of the stable region around L 4 was "studied by Gyorgrey [16]" and the parametric resonance stability around L 4, in elliptical restricted three body problem was "studied by Erdi [18]". The influence of the eccentricity of the orbit of the primary bodies with or without radiation pressure on the existence of the equilibrium points and there stability was "discussed to some extent by Khasan [12], [13], Pinyol [19], Floria [20], Halan and Rana [21], Markeev [22], Selaru and Dumitrescu [14], [15], Nayayan and Ramesh [23], [24]". The stability of triangular points in the elliptical restricted three body problem under radiating and oblate primaries was "studied by Singh and Umar [25], [26]".…”

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

“…The influence of the eccentricity of the orbits of the oblate primary bodies with one of the photogravitational effects on the location of collinear and triangular equilibrium points and their stability has been investigated [27][28][29]. The stability of triangular points in the elliptical restricted three-body problem under the radiating and oblate primaries has been recently discussed [30].…”