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- W3104058053 abstract "For the N-centre problem in the three dimensional space, $${ddot{x}} = -sum_{i=1}^{N} frac{m_i ,(x-c_i)}{vert x - c_i vert^{alpha+2}}, qquad x in {mathbb{R}}^3 {setminus} {c_1,ldots,c_N},$$ where $${N geqq 2}$$ , $${m_i > 0}$$ and $${alpha in [1,2)}$$ , we prove the existence of entire parabolic trajectories having prescribed asymptotic directions. The proof relies on a variational argument of min–max type. Morse index estimates and regularization techniques are used in order to rule out the possible occurrence of collisions." @default.
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- W3104058053 date "2016-10-31" @default.
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- W3104058053 title "Scattering Parabolic Solutions for the Spatial N-Centre Problem" @default.
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- W3104058053 doi "https://doi.org/10.1007/s00205-016-1057-0" @default.
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