{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T23:15:17Z","timestamp":1762298117771},"reference-count":33,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,4]]},"abstract":"<jats:p> The massive straight segment, rotating around the axis perpendicular to its center, is a simple alternative for more precise and sophisticated models that take into account the shape and mass density of natural asteroids. In this article, we give numerical results for the families of periodic orbits that emanate from the five libration points of massive straight segment, and for some secondary bifurcating families. Possible application and extension of the results to research on the motion of satellites near small irregular-shaped celestial bodies are also discussed. The numerical continuation and bifurcation algorithms we use in our study are based on boundary value techniques, as implemented in AUTO. An extensive set of python scripts for running AUTO will be made available at http:\/\/users.encs.concordia.ca\/~doedel . These scripts can be used to recompute the results in this paper, and to do a wide selection of related calculations. <\/jats:p>","DOI":"10.1142\/s0218127414300122","type":"journal-article","created":{"date-parts":[[2014,4,23]],"date-time":"2014-04-23T09:12:34Z","timestamp":1398244354000},"page":"1430012","source":"Crossref","is-referenced-by-count":15,"title":["Periodic Orbits Associated with the Libration Points of the Massive Rotating Straight Segment"],"prefix":"10.1142","volume":"24","author":[{"given":"Volodymyr A.","family":"Romanov","sequence":"first","affiliation":[{"name":"Integrated Systems Division, Physical Optics Corporation, 1845 West 205th Street, Torrance, CA 90501-1510, USA"}]},{"given":"Eusebius J.","family":"Doedel","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Software Engineering, Concordia University, 1455 boulevard de Maisonneuve O., Montr\u00e9al, Qu\u00e9bec H3G 1M8, Canada"}]}],"member":"219","published-online":{"date-parts":[[2014,4,23]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(01)00124-4"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1024115015470"},{"key":"rf3","first-page":"5","volume":"2","author":"Blair B. 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