Math

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)

Watch video of award presentation to Edward Belbruno.

(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...”

“Because of his theories, we could use 40 percent less energy to go to the Moon and beyond—40 percent less—and it has already been proven. He did it once already in the early nineties… Physically it is fascinating about how we can use the gravity of the Sun, the Moon, and the Earth to launch vehicles from here to the Moon or to Mars or beyond and use 40 percent less energy.”

Senator Tom Harkin, Iowa
Presenting the discoveries of Edward Belbruno to the US Congress
Congressional Record, 105th Congress, Vol. 144. No. 88, July 7, 1998.

SELECTED 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. K. 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, J. K. Miller, Sun-Perturbed Earth-to-Moon Transfers with Ballistic Capture, J. Guidance, Control, and Dynamics, V 16, no. 4, 770-775 (July-August 1993). (This is the first refereed technical paper on the ballistic capture to the Moon.)

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).

F. Topputo, E. Belbruno,  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 Periodic 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 System’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 Big Bang Singularity with Random Pertubations, Classical and Quantum Gravity. 35, no. 6  (2018).

QUANTUM MECHANICS : DYNAMICAL COMPARISON TO CELESTIAL MECHANICS

E. Belbruno, Relation Between Solutions of the Schrodinger Equation with Transitioning Resonance Solutions of the Gravitational Three-Body Problem, J. Phys. Commun., Vol. 4, 015012 (2020).

DARK MATTER

E. Belbruno, J. Green, When Leaving the Solar System: Dark Matter Makes A Difference, Monthly Notices of the Royal Astronomical Society, V 510, 5154  (2022).
NASA Press Release

BOOKS

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