PUBLICATIONS

PUBLICATIONS

Ph. D.   T H E S I S

Gronchi G. F., 2002: `Theoretical and computational aspects of collision singularities in the N-body problem' Complete text (gzipped ps file)

P A P E R S
  1. Gronchi G. F., Milani A.: 1998, `Averaging on Earth-crossing orbits', Cel. Mech. Dyn. Ast., 71/2, pp.109-136 Abstract through MathSciNet
  2. Gronchi G. F., Milani A.: 1999, `The stable Kozai State for asteroids and comets with arbitrary semimajor axis and inclination', Astron. Astrophys., 341, pp.928-935 Abstract through ADS
  3. Valsecchi G.B., Milani A., Gronchi G.F. and Chesley S.R.: `The distribution of energy perturbations at planetary close encounters', Cel. Mech. Dyn. Ast., 2000, 78, pp.83-91 Abstract through Zentralblatt für Mathematik
  4. Gronchi G. F., Milani A.: 2001, `Proper elements for Earth crossing asteroids', Icarus, 152, pp.58-69 Abstract through ADS
  5. Gronchi G. F., Michel P.: 2001, `Secular Orbital Evolution, Proper Elements and Proper Frequencies for Near-Earth Asteroids: A Comparison between Semianalytic Theory and Numerical Integrations', Icarus, 152, pp.48-57 Abstract through ADS
  6. Gronchi G. F.: 2002, `On the stationary points of the squared distance between two ellipses with a common focus', SIAM Journ. Sci. Comp., 24/1, pp.61-80 Abstract through SIAM Journals Homepage
  7. Gronchi, G. F.: 2002, `Generalized averaging principle and the secular evolution of planet crossing orbits', Cel. Mech. Dyn. Ast., 83/1-4, pp.97-120 Abstract through MathSciNet
  8. Gronchi, G. F.: 2002. `Generalized Averaging Principle and Proper Elements for NEAs', Lecture Notes in Physics, Vol. 590, Springer
  9. Bellettini, G. and Gronchi, G. F.: 2002. `Barriers for systems of ordinary differential equations: an application to the two-body problem', Rendiconti Accademia Nazionale delle Scienze, 120 (2003), Vol. XXVI, fasc. 1, pp.145-160 Preprint through CVGMT Preprint Service at the SNS
  10. Bellettini, G., Fusco, G. and Gronchi, G. F.: 2003 `Regularization of the two-body problem via a smoothed potential', Communications on Pure and Applied Analysis Vol. 2/3, pp.317-347 Preprint through CVGMT Preprint Service at the SNS
  11. Valsecchi, G.B., Milani, A., Gronchi, G. F. and Chesley, S.R.: 2003 `Resonant returns to close approaches: analytical theory', Astron. Astrophys., Vol. 408, pp.1179-1196 Abstract through ADS
  12. Milani, A., Gronchi, G.F., de'Michieli Vitturi, M. and Knezevic, Z.: 2004 `Orbit Determination with Very Short Arcs. I Admissible Regions', Cel. Mech. Dyn. Ast., Vol. 90, pp.59-87 Abstract through ADS
  13. Gronchi, G.F.: 2005 `An algebraic method to compute the critical points of the distance function between two Keplerian orbits', Cel. Mech. Dyn. Ast., Vol. 93/1, pp.297-332; Preprint in pdf format
  14. Milani, A., Gronchi, G.F., Knezevic, Z., Sansaturio, M.E., Arratia, O.: 2005 `Orbit Determination with Very Short Arcs. II Identifications', Icarus Vol. 179, pp.350-364; Preprint through SIMCA preprint server
  15. Cimatti, G. and Gronchi, G.F.: 2006 `A Nonlocal Problem Arising from a Poiseuille Flow with Electrical Body Forces', Int. Math. Forum, Vol.1 no.39, pp.1913-1918
  16. Milani, A., Gronchi, G.F. and Knezevic, Z. : 2007 ` New Definition of Discovery for Solar System Objects', Earth, Moon, and Planets, Vol. 100/1-2, pp.83-116, Preprint in pdf format
  17. Gronchi, G.F. and Tommei, G.: 2007 `On the uncertainty of the minimal distance between two confocal Keplerian orbits', Discrete and Continuous Dynamical Systems-Series B, Vol. 7/4, pp.755-778;
  18. Milani, A., Gronchi, G.F., Farnocchia, D., Knezevic, Z., Jedicke, R., Dennau, L., Pierfederici, F.: 2008 `Topocentric Orbit Determination: Algorithms for the Next Generation Surveys', Icarus, Vol. 195, pp.474-492 ; Preprint in pdf format
  19. Gronchi, G.F.: 2009`Multiple Solutions in Preliminary Orbit Determination from Three Observations', Cel. Mech. Dyn. Ast., Vol. 103/4, pp.301-326, Preprint in pdf format
  20. Gronchi, G.F., Dimare, L., Milani, A.: 2010 Orbit determination with the two-body integrals', Cel. Mech. Dyn. Ast., Vol. 107/3, pp.299-318, Preprint in pdf format
  21. Fusco, G., Gronchi, G.F., Negrini, P.: 2011Platonic Polyhedra, Topological Constraints and Periodic Solutions of the Classical N-Body Problem', Invent. Math., Vol.185/2, pp.283-332
  22. Gronchi, G.F., Farnocchia, D., Dimare, L.: 2011 Orbit determination with the two-body integrals. II', Cel. Mech. Dyn. Ast., Vol.110/3, pp.257-270
  23. Schunová, E., Granvik, M., Jedicke, R., Gronchi, G., Wainscoat, R., Abe, S.: 2012 `Searching for the first near-Earth object family' , Icarus, Vol. 220, pp.1050-1063
  24. Gronchi, G.F., Valsecchi, G.B. : 2013 `On the possible values of the orbit distance between a near-Earth asteroid and the Earth', Monthly Notices of the Royal Astronomical Society, 429/3, pp.2687-2699 Preprint in pdf format
  25. Gronchi, G.F., Tardioli, C.: 2013 `The evolution of the orbit distance in the double averaged restricted 3-body problem with crossing singularities', Discrete and Continuous Dynamical Systems-Series B, 18/5, pp.1323-1344
  26. Fusco, G., Gronchi, G.F.: 2014 `Platonic polyhedra, periodic orbits and chaotic motions in the N-body problem with non-Newtonian forces', J. Dyn. Diff. Equat. 26, pp. 817-841
  27. Gronchi, G.F., Baù, G., Marò, S.: 2015 `Orbit determination with the two-body integrals. III', submitted
  28. Gronchi, G.F., Dimare, L., Bracali Cioci, D., Ma, H.: 2015 `On the computation of preliminary orbits for space debris with radar observations', submitted

P R E P R I N T S
  1. Cimatti, G. and Gronchi, G.F.: 2005 `An elementary quantum correction to the Child-Langmuir solution for the vacuum diode', Preprint in ps format

P R O C E E D I N G S
  1. Gronchi G.F., Milani A.: `Averaging on Earth-crossing orbits', Proceedings of IAU Colloquium 172, Namur, July 1998 (extended abstract), pp.433-434 Full Text
  2. Milani A., Gronchi G.F.: `Proper elements for Earth-crossers', Proceedings of IAU Colloquium 173, Tatranska Lomnica, August 1998, pp.75-80 HTML version
  3. Gronchi G.F.: `Classical and Modern Orbit Determination for Asteroids', Proceedings of IAU Colloquium 196, Preston, UK, June 2004, ps pdf
  4. Milani A. et al.: `Unbiased orbit determination for the next generation asteroid/comet surveys', Proceedings of the ACM05 meeting, Bù zios, BR, August 2005, ps pdf
  5. Gronchi, G.F., Tommei, G. and Milani, A.: 2007 `Mutual geometry of confocal Keplerian orbits: uncertainty of the MOID and search for Virtual PHAs', Preprint in ps format, in Near Earth Objects, our Celestial Neighbors: Opportunity and Risk. IAU Symposium 236. Prague, Cech Republic, pp. 3-14, Cambridge University Press
  6. Boattini, A., Milani, A., Gronchi, G.F., Spahr, T. and Valsecchi, G.B.: 2007 `Low solar elongation searches for NEO: a deep sky test and its implications for survey strategies', in Near Earth Objects, our Celestial Neighbors: Opportunity and Risk. IAU Symposium 236. Prague, Cech Republic, pp. 291-300, Cambridge University Press
  7. Milani, A., Gronchi, G. F., Farnocchia, D., Tommei, G., Dimare, L.: 2009 `Optimization of space surveillance resources by innovative preliminary orbit methods.', Proc. of the Fifth European Conference on Space Debris. 30 March-2 April 2009, Darmstadt, Germany, SP-672 on CD-Rom.
  8. Dimare, L., Farnocchia, D., Gronchi, G., Milani, A., Bernardi, F., Rossi, A.: 2011 `Innovative system of very wide field optical sensors for space surveillance in the LEO region', Proc. of the AMOS Conference, Maui, Hawaii, September 13-16, 2011, Edited by S. Ryan, pp. E51.
  9. Gronchi, G.F.: 2013 `Periodic orbits of the N-body problem with the symmetry of Platonic polyhedra', proceedings of the MPE2013 meeting, INDAM, Rome (Italy) May 2013 Preprint in pdf format

L I B R I
  1. Milani, A. and Gronchi, G. F.: `Theory of Orbit Determination', 2010, Cambridge University Press

Last update 30/01/2015