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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… Click to show full abstract
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 $$n=4,5,6$$ .
Keywords:
body problem;
problem equal;
configurations spatial;
spatial body;
equal masses;
central configurations
Journal Title: Celestial Mechanics and Dynamical Astronomy
Year Published: 2020
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Journal Title: Celestial Mechanics and Dynamical Astronomy
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!