Collinear Points in the Photogravitational ER3BP with Zonal Harmonics of the Secondary

被引：1

作者：

Suleiman, Rukkayat ^{[1
]}

Umar, Aishetu ^{[2
,3
]}

Singh, Jagadish ^{[2
,3
]}

机构：

[1] Forestry Res Inst Nigeria, Dept Basic Sci & Gen Studies, Fed Coll Forestry Mechanizat, Ibadan, Nigeria

[2] Ahmadu Bello Univ, Dept Math, Fac Sci, Zaria, Nigeria

[3] PMB 2273, Afaka, Kaduna, Nigeria

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2020年 / 28卷 / 04期

关键词：

Celestial mechanics; ER3BP; Radiation pressure; Zonal harmonics; 3 BODY PROBLEM; TRIANGULAR EQUILIBRIUM POINTS; RESTRICTED 3-BODY PROBLEM; LIBRATION POINTS; ELLIPTIC R3BP; MASS MOMENT; STABILITY; OBLATENESS; EXISTENCE; MOTION;

D O I：

10.1007/s12591-017-0352-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The positions and stability of the collinear equilibrium points in the photogravitational ER3BP with zonal harmonics of the secondary is investigated. The effects of the perturbing forces: - oblateness, eccentricity and radiation pressure-on the positions and stability of collinear points (L-1,L-2,L-3) of an infinitesimal mass in the framework of the photogravitational ER3BP with zonal harmonics of the secondary are established. These effects on the positions of the binary systems Zeta Cygni, 54 Piscium, Procyon A/B and Regulus A are shown graphically and numerically from the analytic results obtained. It is observed that as the zonal harmonic J(4) and eccentricity e increase, the collinear points shift towards the origin, while the reverse is observed with increase in the semi-major axis. The stability behavior however is unaffected by the introduction of these parameters, the collinear points remain linearly unstable.

引用

页码：901 / 922

页数：22

共 65 条

[1] Combined effects of perturbations, radiation, and oblateness on the stability of equilibrium points in the restricted three-body problem [J].