{"paper":{"title":"Solving the Babylonian Problem of quasiperiodic rotation rates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Evelyn Sander, James A Yorke, Suddhasattwa Das, Yoshitaka Saiki","submitted_at":"2017-06-08T14:09:24Z","abstract_excerpt":"A trajectory $u_n := F^n(u_0), n = 0,1,2, \\dots $ is quasiperiodic if the trajectory lies on and is dense in some $d$-dimensional torus, and there is a choice of coordinates on the torus $\\mathbb{T}$ for which $F$ has the form $F(\\theta) = \\theta + \\rho\\bmod1$ for all $\\theta\\in\\mathbb{T}$ and for some $\\rho\\in\\mathbb{T}$. There is an ancient literature on computing three rotation rates $\\rho$ for the Moon. %There is a literature on determining the coordinates of the vector $\\rho$, called the rotation rates of $F$. (For $d>1$ we always interpret $\\bmod1$ as being applied to each coordinate.) H"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.02595","kind":"arxiv","version":3},"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"}