Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem

Jianlu Zhang; Marcel Guardia Vadim Kaloshin

REVIEW

Asymptotic density of collision orbits in the Restricted Circular Planar 3 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 1805.00800 v1 pith:ECOCG3VI submitted 2018-05-02 math.DS

Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem

Marcel Guardia Vadim Kaloshin , Jianlu Zhang This is my paper

classification math.DS

keywords bodycircularcollisionplanarproblemrestrictedasymptoticdense

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

Share X Bluesky LinkedIn Reddit HN

read the original abstract

For the Restricted Circular Planar 3 Body Problem, we show that there exists an open set $\mathcal U$ in phase space independent of fixed measure, where the set of initial points which lead to collision is $O(\mu^\frac{1}{20})$ dense as $\mu\rightarrow 0$.

Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem

discussion (0)