Pith. sign in

REVIEW

A stochastic optimization algorithm for analyzing planar central and balanced configurations in the $n$-body problem

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2010.15358 v2 pith:DANHLPOZ submitted 2020-10-29 math.DS cs.NAmath.NA

Alexandru Doicu , Lei Zhao , Adrian Doicu This is my paper · ORCID
classification math.DScs.NAmath.NA
keywords configurationsbalancedcentralalgorithmanalyzingbodyoptimizationplanar
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

A stochastic optimization algorithm for analyzing planar central and balanced configurations in the $n$-body problem is presented. We find a comprehensive list of equal mass central configurations satisfying the Morse equality up to $n=12$. We show some exemplary balanced configurations in the case $n=5$, as well as some balanced configurations without any axis of symmetry in the cases $n=4$ and $n=10$.

Discussion (0). Continue with ORCID to comment.

Pith tools