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There, the least action principle optimal control problem is converted to a differential game, where an opposing player maximizes over an indexed set of quadratics to yield the gravitational potential. Solutions are obtained as indexed sets of solutions of Riccati equations.<\/jats:p>","DOI":"10.1137\/130921908","type":"journal-article","created":{"date-parts":[[2015,9,8]],"date-time":"2015-09-08T11:53:52Z","timestamp":1441713232000},"page":"2898-2933","source":"Crossref","is-referenced-by-count":34,"title":["The Principle of Least Action and Fundamental Solutions of Mass-Spring and N-Body Two-Point Boundary Value Problems"],"prefix":"10.1137","volume":"53","author":[{"given":"William M.","family":"McEneaney","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peter M.","family":"Dower","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2015,9,8]]},"reference":[{"key":"atypb1","unstructured":"F. L. Baccelli, G. Cohen, G. J. Olsder, and J.P. 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