The Open Astronomy Journal

2012, 5 : 19-25
Published online 2012 April 27. DOI: 10.2174/1874381101205010019
Publisher ID: TOAAJ-5-19

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

Nour-Eddine Najid and El Haj Elourabi
Equipe Mecanique Statistique et Astronomie Laboratoire de Physique Theorique et Appliquee Universite Hassan II Ain Chock- Faculte des Sciences Ain Chock BP 5366 Maarif Casablanca Morocco.

ABSTRACT

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.

Keywords:

Potential, Inhomogeneous distribution, Equilibrium.