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If <jats:italic>both<\/jats:italic> objects are rapidly rotating, then the corresponding interaction is comparable in strength to a 4PN effect. The Hamiltonian is checked via the global Poincar\u00e9 algebra with the center\u2010of\u2010mass vector uniquely determined by an ansatz.<\/jats:p>","DOI":"10.1002\/andp.201100163","type":"journal-article","created":{"date-parts":[[2011,9,20]],"date-time":"2011-09-20T12:25:28Z","timestamp":1316521528000},"page":"919-924","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":56,"title":["Next\u2010to\u2010next\u2010to\u2010leading order post\u2010Newtonian spin(1)\u2010spin(2) Hamiltonian for self\u2010gravitating binaries"],"prefix":"10.1002","volume":"523","author":[{"given":"J.","family":"Hartung","sequence":"first","affiliation":[]},{"given":"J.","family":"Steinhoff","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2011,9,20]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1002\/andp.201100094"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.12.2183"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.12.329"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00756587"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.77.104018"},{"key":"e_1_2_1_6_3","volume":"77","author":"Steinhoff J.","year":"2008","journal-title":"Phys. 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