Stability of a four body relative equilibrium
Author
Vera López, Juan AntonioResearch Group
Matemática Aplicada a la IngenieríaKnowledge Area
Matemática AplicadaSponsors
This research was partially supported by the Spanish Ministerio de Ciencia y Tecnología (Project BFM2003-02137) and by the Consejería de Educación y Cultura de la Comunidad Autónoma de la Región de Murcia (Project Séneca 2002: PC-MC/3/00074/FS/02).Publication date
2007Publisher
Hikari Ltd.Bibliographic Citation
VERA, J.A. Stability of a four body relative equilibrium. Applied Mathematical Sciences, 1 (22): 1057-1067, 2007. ISSN 1312-885XKeywords
Problema de cuatro cuerposGiróstato
Equilibrio relativo
Lagrange
Estabilidad
Four body problem
Gyrostat
Relative equilibria
Lagrangian
Stability
Abstract
In the present work we study the lineal stability of a relative equilibrium
for the problem of the gyrostat in newtonian interaction with
three spherical rigid bodies or punctual masses. Geometrically the relative
equilibrium is characterized by a particular symmetry, i.e., the
rigid bodies have all the same mass m and form an equilateral triangle.
On the other hand, the gyrostat of mass m0 with revolution symmetry
around the third axis of inertia is located in the center of this triangle
rotating with an angular velocity ωe, that will be determined, perpendicular
to the plane formed by the previous spherical masses.
Collections
- Artículos [1752]
The following license files are associated with this item:
Social media