Frederic Gabern

• Research Interests
• Publications
• Collaborators
• Teaching Activities
• Contact Info

Research Interests

Dynamical systems and applications to celestial mechanics, dynamical astronomy, astrodynamics, molecular dynamics and computational chemical physics. Numerical methods for dynamical systems.
I am a member of the Barcelona UB-UPC Dynamical Systems Group.

Publications

• Astrodynamics
• Dynamical Astronomy
• Chemical Reaction Dynamics

• Celestial Mechanics and Numerical Methods
• Proceedings
• Ph.D. Thesis

Astrodynamics

• Spacecraft dynamics near a binary asteroid
  F. Gabern, W.S. Koon and J.E. Marsden
  Discrete Contin. Dyn. Syst., suppl. vol. 2005, pp. 297-306 (2005)
  abstract | pdf
• Parking a spacecraft near an asteroid pair
  F. Gabern, W.S. Koon and J.E. Marsden
  Journal of Guidance, Control and Dynamics, Vol. 29, N. 3, pp. 544-553 (2006)
  abstract | pdf
• Binary Asteroid Observation Orbits from a Global Dynamical Perspective
  F. Gabern, W.S. Koon, J.E. Marsden and D.J. Scheeres
  SIAM Journal on Applied Dynamical Systems, Vol. 6, N. 2, pp. 252-279 (2006)
  abstract | pdf

Dynamical Astronomy

• On the accuracy of Restricted Three-Body Models for the Trojan motion
  F. Gabern, À. Jorba and P. Robutel
  Discrete Contin. Dyn. Syst., Vol. 11, N. 4, pp. 843-854 (2004)
  abstract | gzipped postscript | pdf
• Generalizing the Restricted Three-Body Problem. The Bianular and Tricircular Coherent Problems
  F. Gabern and À. Jorba
  Astronomy & Astrophysics, Vol. 420, pp. 751-762 (2004)
  abstract | postscript + additional files | pdf
• The observed Trojans and the global dynamics around the Lagrangian points of the Sun--Jupiter system
  P. Robutel, F. Gabern and À. Jorba
  Celestial Mech. Dynam. Astronom. Vol. 92, N. 1, pp. 53-69 (2005)
  abstract | gzipped postscript | pdf
• The resonant structure of Jupiter's Trojan asteroids I: Long term stability and diffusion
  P. Robutel and F. Gabern
  Monthly Notices of the Royal Astronomical Society, to appear (2006)
  abstract | pdf

Chemical Reaction Dynamics

• Theory and Computation of Non-RRKM Lifetime Distributions and Rates in Chemical Systems with Three or More Degrees of Freedom
  F. Gabern, W.S. Koon, J.E. Marsden and S.D. Ross
  Physica D: Nonlinear phenomena, Vol. 211, N. 3-4, pp. 391-406 (2005)
  abstract | pdf
• Application of Tube Dynamics to Non-statistical Reaction Processes
  F. Gabern, W.S. Koon, J.E. Marsden, S.D. Ross and T. Yanao
  Few-Body Systems, Vol. 38, N. 2-4, pp. 167-172 (2006)
  abstract | pdf

Celestial Mechanics and Numerical Methods for Dynamical Systems

• A restricted four-body model for the dynamics near the Lagrangian points of the Sun-Jupiter system
  F. Gabern and À. Jorba
  Discrete Contin. Dyn. Syst. Ser. B, Vol. 1, N. 2, pp 143-182 (2001)
  abstract | postscript + additional files | pdf
• Effective computation of the dynamics around a two-dimensional torus of a Hamiltonian system
  F. Gabern and À. Jorba
  Journal of Nonlinear Science, Vol. 15, N. 3, pp. 159-182 (2005)
  abstract | gzipped postscript | pdf
• On the construction of the Kolmogorov normal form for the Trojan asteroids
  F. Gabern, À. Jorba and U. Locatelli
  Nonlinearity 18, pp. 1705-1734 (2005)
  abstract | gzipped postscript | pdf

Proceedings

• On the triangular points of the Sun-Jupiter system
  F. Gabern and À. Jorba
  Proceedings of the Third Meeting on Celestial Mechanics - Celmec III,
  Kluwer Academic Publishers, Dordrecht (September 2002).
  ISBN 1-4020-0762-0. Monte Porzio Catone, Roma, Italia. June 2001.
  abstract | gzipped postscript
• Sobre los puntos Lagrangianos del sistema Sol-Júpiter
  F. Gabern and À. Jorba
  Actas del XVII CEDYA / VII CMA, Universidad de Salamanca (2001)
  abstract | gzipped postscript
• Restricted four and five-body problems in the Solar system
  F. Gabern and À. Jorba
  Libration Point Orbits and Applications (G.G\'omez, M.W.Lo and J.J.Masdemont eds.),
  World Scientific Publishing Co. ISBN 981-238-363-8, pp. 573--586 (2003)
  abstract | gzipped postscript
• Some models for the Trojan motion
  F. Gabern and À. Jorba
  Monografías de la Real Academia de Ciencias de Zaragoza, Vol. 22, pp. 11-20 (2003)
  abstract | gzipped postscript
• Normal form for a quasi-periodic perturbation of the Sun-Jupiter RTBP
  F. Gabern and À. Jorba
  Actas del XVIII CEDYA / VIII CMA, Universitat de Tarragona (2003)
  abstract | gzipped postscript | pdf

PH.D. Thesis

• On the dynamics of the Trojan asteroids.
  Universitat de Barcelona, April 2003.
  (Adviser: Àngel Jorba)
  abstract | gzipped postscript | pdf
• Presentation: slides

Collaborators

• Àngel Jorba, Universitat de Barcelona.
• Wang S. Koon, California Institute of Technology.
• Ugo Locatelli, Università degli studi di Roma - Tor Vergata.
• Jerrold E. Marsden, California Institute of Technology.
• Philippe Robutel, Observatoire de Paris.
• Shane D. Ross, University of Southern California.
• Daniel J. Scheeres, University of Michigan.
• Tomohiro Yanao, California Institute of Technology.

Teaching Activities

• Càlcul I
• Intranets (old)

Contact Information

Frederic Gabern (gabernmaia.ub.es)
Departament de Matemàtica Aplicada I
Universitat Politècnica de Catalunya
ETSEIB, Av. Diagonal 647
08028 Barcelona
Phone: 34-93 401 70 78
Fax: 34-93 401 17 13

Last revised: $Date: 2006/20/09 16:25:28 $ Created: Sep 2006