Effects of radiation and triaxiality of primaries on triangular equilibrium points in elliptic restricted three body problem

Linear stability and resonance of triangular equilibrium points in elliptic restricted three body problem with radiating primary and triaxial secondary

“…It has been shown that resonances of the third order exist under the range of linear stability. This paper is in continuation of the paper ( Usha [27] and Narayan [23]). The study of linear stability in presence of resonance makes the work different from the other works.…”

“…al. [27] and given in the following equation (1). The notations in principle follow the book of Szebehely [25], with some minor modifications in the notation being done for adapting to the present problem, presented as: …”

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

“…Let R 1 and R 2 be the dimensionless distance between the primaries. The equation of motion of the system with the minor modification as solved by [17,21]) is given as: In equation (2.5), the second term in the left hand side represents the Coriolisacceleration. The complex position vectors z 1 and z 2 are the location of the primaries, which are permanent on the real axis (x ̅, y ̅)of the system, we have:…”

“…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.…”

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

“…[20],Usha, T., Narayan, A., Ishwar, B. [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.…”