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Roger A. Broucke

January 01, 1970

Roger A. Broucke (March 25, 1932 – June 21, 2005) was an aerospace engineer known for his solutions to the three-body problem. After working on practical orbital mechanics at the Jet Propulsion Laboratory, he became a professor at the University of Texas at Austin.[1]

Life edit

Broucke was born on a farm in Veurne. He studied at the Catholic University of Leuven, earning bachelor's and master's degrees in mathematics in 1955 and 1957 respectively, under the mentorship of Georges Lemaître. After completing his military service he worked for the oil industry while earning a second master's degree, in operations research, from the University of Brussels in 1960.[1]

He returned to Leuven for his doctoral work, on the three-body problem, which he completed in 1962.[1] At this time he moved to California to work at the Jet Propulsion Laboratory; while there, he also took adjunct positions at West Coast University, the University of Southern California, and the University of California, Los Angeles (UCLA). His position at UCLA became a regular-rank associate professorship in 1969.[1]

In 1975, Broucke moved to the University of Texas at Austin as an associate professor of aerospace engineering and engineering mechanics. At Austin, he helped found the Texas Institute for Computational Mechanics in 1976.[1]

Contributions edit

In the three-body problem, Broucke's doctoral research involved pioneering use of computer simulations to classify stable and unstable orbits.[1] He investigated what happens to this classification for earth–moon–satellite systems in the limit as the ratio of earth to moon mass approaches zero; his conjecture about this limiting behavior, "Broucke's principle", was finally proven correct in 1981 by Lawrence Perko.[1][2] As part of this work, he also developed symbolic computation methods for handling Poisson series.[1]

Later, he studied the anisotropic Kepler problem, a mathematical model of the motion of an electron trapped in a potential well. As he showed, this system is not purely chaotic: it has periodic orbits as well. He also studied the use of gravity assist in finding efficient flight plans for space probes.[1]

Recognition edit

In 1973, Broucke became executive editor of the journal Celestial Mechanics.[1]

The American Astronautical Society gave him their Dirk Brouwer Award in 2002.[3]

Personal edit

Broucke's daughter, Mireille Broucke,[1] is a noted control theorist at the University of Toronto.[4]

Selected publications edit

  • Broucke, R. (June 1969), "Stability of periodic orbits in the elliptic, restricted three-body problem", AIAA Journal, 7 (6): 1003–1009, Bibcode:1969AIAAJ...7.1003B, doi:10.2514/3.5267
  • Broucke, R.; Garthwaite, K. (June 1969), "A programming system for analytical series expansions on a computer", Celestial Mechanics, 1 (2): 271–284, Bibcode:1969CeMec...1..271B, doi:10.1007/bf01228844, S2CID 119570369
  • Broucke, R. A.; Cefola, P. J. (May 1972), "On the equinoctial orbit elements", Celestial Mechanics, 5 (3): 303–310, Bibcode:1972CeMec...5..303B, doi:10.1007/bf01228432, S2CID 123468742
  • Broucke, R. (August 1988), "The celestial mechanics of gravity assist", Astrodynamics Conference, American Institute of Aeronautics and Astronautics, doi:10.2514/6.1988-4220
  • Broucke, Roger A. (July 2003), "Solution of the elliptic rendezvous problem with the time as independent variable", Journal of Guidance, Control, and Dynamics, 26 (4): 615–621, Bibcode:2003JGCD...26..615B, doi:10.2514/2.5089

References edit

  1. ^ a b c d e f g h i j k "Roger A. Broucke (1932–2005)", Faculty Memorials, The University of Texas at Austin Department of Aerospace Engineering and Engineering Mechanics, retrieved 2017-11-10
  2. ^ Hénon, Michel (1997), "Junctions: Broucke's Principle", Generating families in the restricted three-body problem, Lecture Notes in Physics, Series M, vol. 52, Berlin: Springer-Verlag, pp. 137–169, doi:10.1007/3-540-69650-4_8, ISBN 3-540-63802-4, MR 1483318
  3. ^ Dirk Brouwer Award, American Astronautical Society, retrieved 2017-11-10
  4. ^ "Mireille Broucke", People in Control, IEEE Control Systems Magazine, 30 (1): 18–21, February 2010, doi:10.1109/mcs.2009.935228

January 01, 1970
roger, broucke, march, 1932, june, 2005, aerospace, engineer, known, solutions, three, body, problem, after, working, practical, orbital, mechanics, propulsion, laboratory, became, professor, university, texas, austin, contents, life, contributions, recognitio. Roger A Broucke March 25 1932 June 21 2005 was an aerospace engineer known for his solutions to the three body problem After working on practical orbital mechanics at the Jet Propulsion Laboratory he became a professor at the University of Texas at Austin 1 Contents 1 Life 2 Contributions 3 Recognition 4 Personal 5 Selected publications 6 ReferencesLife editBroucke was born on a farm in Veurne He studied at the Catholic University of Leuven earning bachelor s and master s degrees in mathematics in 1955 and 1957 respectively under the mentorship of Georges Lemaitre After completing his military service he worked for the oil industry while earning a second master s degree in operations research from the University of Brussels in 1960 1 He returned to Leuven for his doctoral work on the three body problem which he completed in 1962 1 At this time he moved to California to work at the Jet Propulsion Laboratory while there he also took adjunct positions at West Coast University the University of Southern California and the University of California Los Angeles UCLA His position at UCLA became a regular rank associate professorship in 1969 1 In 1975 Broucke moved to the University of Texas at Austin as an associate professor of aerospace engineering and engineering mechanics At Austin he helped found the Texas Institute for Computational Mechanics in 1976 1 Contributions editIn the three body problem Broucke s doctoral research involved pioneering use of computer simulations to classify stable and unstable orbits 1 He investigated what happens to this classification for earth moon satellite systems in the limit as the ratio of earth to moon mass approaches zero his conjecture about this limiting behavior Broucke s principle was finally proven correct in 1981 by Lawrence Perko 1 2 As part of this work he also developed symbolic computation methods for handling Poisson series 1 Later he studied the anisotropic Kepler problem a mathematical model of the motion of an electron trapped in a potential well As he showed this system is not purely chaotic it has periodic orbits as well He also studied the use of gravity assist in finding efficient flight plans for space probes 1 Recognition editIn 1973 Broucke became executive editor of the journal Celestial Mechanics 1 The American Astronautical Society gave him their Dirk Brouwer Award in 2002 3 Personal editBroucke s daughter Mireille Broucke 1 is a noted control theorist at the University of Toronto 4 Selected publications editBroucke R June 1969 Stability of periodic orbits in the elliptic restricted three body problem AIAA Journal 7 6 1003 1009 Bibcode 1969AIAAJ 7 1003B doi 10 2514 3 5267 Broucke R Garthwaite K June 1969 A programming system for analytical series expansions on a computer Celestial Mechanics 1 2 271 284 Bibcode 1969CeMec 1 271B doi 10 1007 bf01228844 S2CID 119570369 Broucke R A Cefola P J May 1972 On the equinoctial orbit elements Celestial Mechanics 5 3 303 310 Bibcode 1972CeMec 5 303B doi 10 1007 bf01228432 S2CID 123468742 Broucke R August 1988 The celestial mechanics of gravity assist Astrodynamics Conference American Institute of Aeronautics and Astronautics doi 10 2514 6 1988 4220 Broucke Roger A July 2003 Solution of the elliptic rendezvous problem with the time as independent variable Journal of Guidance Control and Dynamics 26 4 615 621 Bibcode 2003JGCD 26 615B doi 10 2514 2 5089References edit a b c d e f g h i j k Roger A Broucke 1932 2005 Faculty Memorials The University of Texas at Austin Department of Aerospace Engineering and Engineering Mechanics retrieved 2017 11 10 Henon Michel 1997 Junctions Broucke s Principle Generating families in the restricted three body problem Lecture Notes in Physics Series M vol 52 Berlin Springer Verlag pp 137 169 doi 10 1007 3 540 69650 4 8 ISBN 3 540 63802 4 MR 1483318 Dirk Brouwer Award American Astronautical Society retrieved 2017 11 10 Mireille Broucke People in Control IEEE Control Systems Magazine 30 1 18 21 February 2010 doi 10 1109 mcs 2009 935228 Retrieved from https en wikipedia org w index php title Roger A Broucke amp oldid 1045841002, wikipedia, wiki, book, books, library,

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