Effect of peturbations on the location of equilibrium points in the restricted problem of three bodies with variable mass

DOI10.1007/BF01229086zbMath0587.70009OpenAlexW234629236MaRDI QIDQ3714502

Jagadish Singh

Publication date: 1984

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01229086

zbMATH Keywords

Coriolis forcerestricted three-body problemcentrifugal forceslocation of equilibrium pointseffect of small perturbationsvariable small mass

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Three-body problems (70F07) Perturbations of ordinary differential equations (34D10) Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items (19)

Effect of perturbations on the non linear stability of triangular points in the restricted three-body problem with variable mass ⋮ Existence of particular solutions in the generalised restricted problem of three bodies with variable masses ⋮ Equations of motion of elliptically-restricted problem of a body with variable mass and two tri-axial bodies ⋮ The equilibrium solutions of the restricted problem of three rigid bodies with variable mass ⋮ On the triangular libration points in photogravitational restricted three-body problem with variable mass ⋮ Investigation of the effect of albedo and oblateness on the circular restricted four variable bodies problem ⋮ On the existence of libration points in the spatial collinear restricted four-body problem within frame of repulsive Manev potential and variable mass ⋮ Comment on the paper ``On the triangular libration points in photogravitational restricted three-body problem with variable mass by Zhang, M. J., et al. ⋮ Reply to: ``Comment on the paper `on the triangular libration points in photogravitational restricted three-body problem with variable mass' ⋮ Nonlinear stability of equilibrium points in the restricted three-body problem with variable mass ⋮ Nonlinear stability in the restricted three-body problem with oblate and variable mass ⋮ The restricted problem of a tri-axial rigid body and two spherical bodies with variable masses ⋮ Unnamed Item ⋮ On the use and abuse of Newton's second law for variable mass problems ⋮ Equations of motion of elliptic restricted problem of three bodies with variable mass ⋮ Stability of the photogravitational restricted three-body problem with variable masses ⋮ Symbolic calculations in studying the problem of three bodies with variable masses ⋮ Analysis on the stability of triangular points in the perturbed photogravitational restricted three-body problem with variable masses ⋮ The effect of perturbations on the circular restricted four-body problem with variable masses

Cites Work

• Effect of perturbations in Coriolis and centrifugal forces on the stability of libration points in the restricted problem

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