On the homographic solutions of the three-body problem
The object of this raper is to prove the following theorem: The only homographic solutions of the three-body problem of celestial mechanics with a law of attraction inversely proportional to any power rα of the distance rare: (i) The pure dilatations. (ii)The collinear solutions, (iii) The equilater...
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| Formato: | Articulo Comunicacion |
| Lenguaje: | Inglés |
| Publicado: |
1960
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/74447 |
| Aporte de: |
| Sumario: | The object of this raper is to prove the following theorem: The only homographic solutions of the three-body problem of celestial mechanics with a law of attraction inversely proportional to any power rα of the distance rare: (i) The pure dilatations. (ii)The collinear solutions, (iii) The equilateral solutions, (iv) The Isosceles solutions of BANACHIEWITZ. (α = 3) and (v) the scalene solutions given in this note, also for α = 3, the first three kinds being the only planar solutions for any value of α. |
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