Abstract
<abstract><p>For a spatial twisted central configuration of the Newtonian ($ 2N $+1)-body problem where $ 2N $ masses are at the vertices of two paralleled regular $ N $-polygons with distance $ h &gt; 0 $, and the twist angle between the two regular $ N $-polygons is $ 0\leq\theta &lt; 2\pi $, we study the sufficient and necessary conditions for the existence of the spatial twisted central configuration. Additionally, we obtain the uniqueness of the spatial twisted central configuration.</p></abstract>
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