Instability of Libration Points and Resonance Phenomena in the Photogravitational Elliptic Restricted Three-Body Problem

Characteristics exponents of the triangular solution in the elliptical restricted three-body problem under radiating and triaxial primaries

“…[21],Zimvoschikov, A.S., Thkai, V.N. [22] , have studied the effects of radiation pressure on the motion of the infinitesimal body by taking one or both primaries as a source of radiation. Danby [5] examined the stability of the infinitesimal motion about the triangular points in the ER3BP; using a digital computer numerical scheme based on Floquet theory giving the result in the form of transition curves in μ − e plane.…”

Pulsating curves of zero velocity for infinitesimal mass around oblate and triaxial rigid body of triangular equilibrium points in elliptical restricted three body problem

“…Many authors such as [1][2][3][4][5] have studied the elliptical restricted three body problem in detail. The influence of eccentricity of orbits of the primaries with or without radiation pressure,oblateness and triaxiality of the primaries are studied by [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. The present study is an attempt to derive the differential equation governing the motion of the triangular equilibrium points on the assumption that both the primaries are oblate triaxial rigid body.…”

Stability of triangular equilibrium points in the Photogravitational elliptic restricted three body problem with Poynting-Robertson drag

“…Sahoo and Ishwar [11] examined stability of collinear points in the generalized photogravitational ERTBP. Zimovshchikov and Tkhai [14] investigated stability of libration points and resonance phenomenon in the photogravitational ERTBP. A.Narayan and C.R.Kumar [7] studied the effect of photogravitational and oblateness on the triangular Lagrangian points in ERTBP.…”