Approximate integrals of motion

Gregor Traven; Olivier Bienaym\'e

REVIEW

Approximate integrals of motion

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 1211.6306 v1 pith:2UY4DLGU submitted 2012-11-27 astro-ph.GA

Approximate integrals of motion

Olivier Bienaym\'e , Gregor Traven This is my paper

classification astro-ph.GA

keywords approximatemotionintegralspotentialsaccuratelyconditionsdetaildetermine

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

0 comments

read the original abstract

We determine approximate numerical integrals of motion of 2D symmetric Hamiltonian systems. We detail for a few gravitational potentials the conditions under which quasi-integrals are obtained as polynomial series. We show that each of these potentials has a wide range of regular orbits that are accurately modelled with a unique approximate integral of motion.

Approximate integrals of motion

discussion (0)