Scattering parabolic solutions for the spatial N-centre problem

Alberto Boscaggin, Walter Dambrosio, Susanna Terracini

For the $N$-centre problem in the three dimensional space, $$ \ddot x = -\sum_{i=1}^{N} \frac{m_i \,(x-c_i)}{\vert x - c_i \vert^{α+2}}, \qquad x \in \mathbb{R}^3 \setminus \{c_1,\…