On the uniqueness of the planar 5-body central configuration with a trapezoidal convex hull
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913345502707712 |
|---|---|
| author | Liu, Yangshanshan Zhang, Shiqing |
| author_facet | Liu, Yangshanshan Zhang, Shiqing |
| contents | To apply Morse's critical point theory, we use mutual distances as coordinates to discuss a kind of central configuration of the planar Newtonian 5-body problem with a trapezoidal convex hull, i.e., four of the five bodies are located at the vertices of a trapezoid, and the fifth one is located on one of the parallel sides. We show that there is at most one central configuration of this geometrical shape for a given cyclic order of the five bodies along the convex hull. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_01376 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the uniqueness of the planar 5-body central configuration with a trapezoidal convex hull Liu, Yangshanshan Zhang, Shiqing Dynamical Systems Mathematical Physics 70F10, 70F15, 37N05 To apply Morse's critical point theory, we use mutual distances as coordinates to discuss a kind of central configuration of the planar Newtonian 5-body problem with a trapezoidal convex hull, i.e., four of the five bodies are located at the vertices of a trapezoid, and the fifth one is located on one of the parallel sides. We show that there is at most one central configuration of this geometrical shape for a given cyclic order of the five bodies along the convex hull. |
| title | On the uniqueness of the planar 5-body central configuration with a trapezoidal convex hull |
| topic | Dynamical Systems Mathematical Physics 70F10, 70F15, 37N05 |
| url | https://arxiv.org/abs/2305.01376 |