{"paper":{"title":"Linear stability analysis of resonant periodic motions in the restricted three-body problem","license":"","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"D. Viswanath","submitted_at":"2005-08-14T19:10:36Z","abstract_excerpt":"The equations of the restricted three-body problem describe the motion of a massless particle under the influence of two primaries of masses $1-\\mu$ and $\\mu$, $0\\leq \\mu \\leq 1/2$, that circle each other with period equal to $2\\pi$. When $\\mu=0$, the problem admits orbits for the massless particle that are ellipses of eccentricity $e$ with the primary of mass 1 located at one of the focii. If the period is a rational multiple of $2\\pi$, denoted $2\\pi p/q$, some of these orbits perturb to periodic motions for $\\mu > 0$. For typical values of $e$ and $p/q$, two resonant periodic motions are obt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0508244","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}