Equilibria and Stability Around a Straight Rotating Segment with a Parabolic Profile of Mass Density

Nour-Eddine Najid
2012 The Open Astronomy Journal  
In a previous work, we established the closet form of the potential generated by a massive inhomogeneous straight segment. We studied the dynamical behavior in the field of this segment at rest. Now, we plane to explore the case where the segment is in rotation around the axis perpendicular to the plane of study. We prove the existence of collinear and isosceles points of equilibrium. Their stability depend both on the rate of rotation as on the parameter governing the mass distribution of the parabolic profilE of density.
doi:10.2174/1874381101205010019 fatcat:r6cinbu6bnc3xm2wlk5y2vxmce