Equilibrium Points and Zero Velocity Surfaces in the Restricted Four Body Problem with Solar Wind Drag

Abstract

We have analyzed the motion of an infinitesimal mass in the restricted four body problem with solar wind drag. It is assumed that forces which govern the motion are mutual gravitational attractions of the primaries, radiation pressure force and solar wind drag. We have derived the equations of motion and find the Jacobi integral, zero velocity surfaces and particular solutions of the system. It is found that three collinear points are real when radiation factor $0<\beta <0.1$ whereas only one real point obtained when $0.125<\beta <0.2$. Again, stability property of the system is examined with the help of Poincaré surface of section (PSS) and Lyapunov characteristic exponents (LCEs). It is found that in presence of drag forces LCE is negative for a specific initial condition, hence the corresponding trajectory is regular whereas regular islands in the PSS are expanded.

"Accepted for publication in Astrophysics and Space Science". [email protected], [email protected])

References in corpus (2)

• The Effect of Radiation Pressure on the Equilibrium Points in the Generalised Photogravitational Restricted Three Body Problem
• Capture in restricted four body problem

Cited by in corpus (5)

• Stability Regions of Equilibrium Points in Restricted Four-Body Problem with Oblateness Effects
• Geometry of halo and Lissajous orbits in the circular restricted three-body problem with drag forces
• On the spatial collinear restricted four-body problem with non-spherical primaries
• Escape and collision dynamics in the planar equilateral restricted four-body problem
• Equilibrium points and basins of convergence in the triangular restricted four-body problem with a radiating body