Math

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Presentation of the 2018 Humboldt Awards

Dr. Hans Christian Pape, President of the Humboldt Foundation (left) Ed Belbruno (center) Dr. Michael Meister, German Ministry of Education and Research (right)

(Photo by David Ausserhofer, Humboldt Foundation official photographer)

Edward Belbruno was once called in the New Scientist ‘one of the top 10 most influential space thinkers’ [1]. Indeed, Edward Belbruno is the man who revolutionized and is still revolutionizing our understanding of space travel. It is the work of Edward Belbruno which shows us that methods from chaos theory of dynamical systems can be fruitfully applied to mission design...

Professor Doktor Urs Frauenfelder, PhD
Chair of Mathematics Department, University of Augsburg
Nomination for Research Award For Humboldt Foundation

SELECTED KEY PAPERS 

(Click here for complete list of publications)

 

CELESTIAL MECHANICS, DYNAMICAL SYSTEMS, ASTRODYNAMICS

E. Belbruno, Regularizations and Geodesic Flows, Lecture notes in Pure and Applied Mathematics 80, 1–11 (1981).

E. Belbruno, Lunar Capture Orbits, A Method of Constructing Earth-Moon Trajectories and the Lunar Gas Mission, Proceedings of AIAA/DGGLR/JSASS Inter. Elec. Propl. Conf., number 87-1054 (May 1987). (This is the first paper ever on ballistic capture for use by a spacecraft and on weak stability boundaries.)

E. Belbruno, J. Miller, A Ballistic Lunar Capture Trajectory for the Japanese spacecraft Hiten, Technical Report JPL-IOM 312/90.4-1731-EAB, Jet Propulsion Laboratory (1990).

E. Belbruno, M. Gidea, F. Topputo, Weak Stability Boundary and Invariant Manifolds, SIAM J. Appl. Dyn. Syst. 9, no. 3, 1061–1089 (2010).

E. Belbruno, M. Gidea, F. Topputo, Geometry of Weak Stability Boundaries, Qual. Theory Dyn. Syst. 12, no. 1, 53–66 (2013).

E. Belbruno, F. Topputo, Earth-Mars Transfers with Ballistic Capture, Celestial Mechanics and Dynamical Astronomy, 121, 329–346 (2015).

E. Belbruno, U. Frauenfelder, O. van Koerk, A Family of Perriodic Orbits in the Three-Dimensional Lunar Problem, Celestial Mechanics and Dynamical Astronomy, 131, no. 7 (Feb 2019).

 

ASTROPHYSICS

E. Belbruno, R. Gott, Where Did the Moon Come From, Astron. Journal 129, 1724–1745 (2005).

E. Belbruno, F. Pretorius, A Dynamical Dystem’s Approach to Schwarzschild Null Geodesics, Classical Quantum Gravity 28, no. 19, 13pp (2011).

E. Belbruno, A. Moro-Martin, R. Malhotra, D. Savransky, Chaotic Exchange of Solid Material between Planetary Systems: Implications for Lithopanspermia, Astrobiology 12, no. 8, 1–21 (2012).

 

COSMOLOGY: DYNAMICAL STUDY OF THE BIG BANG SINGULARITY

E. Belbruno, On the Regularizability of the Big Bang Singularity, Celest. Mech. Dynam. Astronomy 115, no. 1, 21–34 (2013).

E.Belbruno, B.K. Xue, Regularization of the BigBbang Singularity with Random Pertubations, Classical and Quantum Gravity. 35, no. 6  (2018).

QUANTUM MECHANICS : DYNAMICAL COMPARISON TO CELESTIAL MECHANICS

E. Belbruno, Equivalence of the Gravitational Three-Body Problem and a Modified Schrodinger Equation Along a Family of Resonance Orbits, submitted for publication (May 2019).

BOOKS

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