Positions Of Triangular Points Research Articles

Effect on L<sub>4,5</sub> in the ER3BP when Both Primaries are Radiating with Oblateness up to Zonal Harmonic J<sub>4</sub>

This study examines the triangular points in the elliptic restricted three-body problem when both primaries are sources of radiation as well as oblate spheroids with oblateness up to zonal harmonic J4. The positions of triangular points and their critical mass ratio are seen to be affected by the eccentricity, semi major axis, radiation and oblateness of both primaries up to zonal harmonic J4. We highlight the effects of the said parameters on the locations of the triangular points of 61 CYGNI and STRUVE 2398. The triangular points of these systems are found to be unstable.

Effect on L<sub>4,5</sub> in the ER3BP when Both Primaries are Radiating with Oblateness up to Zonal Harmonic J<sub>4</sub>

This study examines the triangular points in the elliptic restricted three-body problem when both primaries are sources of radiation as well as oblate spheroids with oblateness up to zonal harmonic J4. The positions of triangular points and their critical mass ratio are seen to be affected by the eccentricity, semi major axis, radiation and oblateness of both primaries up to zonal harmonic J4. We highlight the effects of the said parameters on the locations of the triangular points of 61 CYGNI and STRUVE 2398. The triangular points of these systems are found to be unstable.

Instability of triangular libration points in the perturbed photogravitational R3BP with Poynting-Robertson (P-R) drag

We consider the primaries of the circular restricted three-body problem (CR3BP) to be luminous and investigate the influences of small perturbations in the Coriolis and centrifugal forces together with Poynting-Robertson (P-R) drag from both primaries on the triangular points. It is seen, both analytically and numerically, that the positions of triangular points are affected by the radiation pressures, P-R drag and a small perturbation in the centrifugal force. This has been shown for the binary systems Luyten 726-8 and Kruger 60.1. These perturbing forces do not influence the nature of the stability of triangular points in the presence of P-R drag. They remain unstable in the linear sense.