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Qualitative study of the hyperbolic colliston restricted three-body problem

Autor
Cors, J.; Llibre, J.
Tipus d'activitat
Article en revista
Revista
Nonlinearity
Data de publicació
1996-12
Volum
9
Número
5
Pàgina inicial
1299
Pàgina final
1316
DOI
https://doi.org/10.1088/0951-7715/9/5/011 Obrir en finestra nova
URL
http://iopscience.iop.org/0951-7715/9/5/011 Obrir en finestra nova
Resum
We have two mass points of equal masses moving under Newton's law of gravitational attraction in a collision hyperbolic orbit while their centre of mass is at rest. We consider a third mass point, of mass , moving on the straight line L perpendicular to the line of motion of the first two mass points and passing through their centre of mass. Since , the motion of the masses and is not affected by the third mass and from the symmetry of the motion it is clear that will remain on the line L. The h...

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