Central configurations in the spatial n-body problem for $$n=5,6$$ with equal masses
@article{Moczurad2020CentralCI, title={Central configurations in the spatial n-body problem for \$\$n=5,6\$\$ with equal masses}, author={Małgorzata Moczurad and Piotr Zgliczyński}, journal={Celestial Mechanics and Dynamical Astronomy}, year={2020}, volume={132}, pages={1-27} }
We present a computer assisted proof of the full listing of central configurations for spatial n-body problem for $$n=5$$
and 6, with equal masses. For each central configuration, we give a full list of its Euclidean symmetries. For all masses sufficiently close to the equal masses case, we give an exact count of configurations in the planar case for $$n=4,5,6,7$$
and in the spatial case for $$n=4,5,6$$
.
4 Citations
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<jats:p>A stochastic optimization algorithm for analyzing planar central and balanced configurations in the <jats:italic>n</jats:italic>-body problem is presented. We find a comprehensive list of…
Central configurations on the plane with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e485" altimg="si6.svg"><mml:mi>N</mml:mi></mml:math> heavy and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e490" altimg="si7.svg"><mml:mi>k</mm
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