Giovanni Federico Gronchi

Space Mechanics Group

1. Generalizzazione del principio della media per orbite incrociatrici e studio della dinamica secolare dei Near Earth Asteroids (NEAs);
2. Elementi propri e frequenze proprie dei NEAs;
3. Studio dei punti critici della distanza tra due ellissi kepleriane;
4. Regolarizzazione del problema dei due corpi tramite smoothing del potenziale;
5. Soluzioni globali di tipo barriera del problema degli N-corpi;
6. Determinazione orbitale con archi molto corti;
7. Studio analitico degli incontri ravvicinati dei NEAs con i pianeti del Sistema Solare;
8. Evoluzione mediata e covarianza del MOID (Minimal Orbital Intersection Distance);
9. Ricerca di parent bodies per i meteor streams;

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.: 2003. `Generalized Averaging Principle and Proper Elements for NEAs', Lecture Notes in Physics, Vol. 590, Springer
9. Bellettini, G. and Gronchi, G. F.: 2003. `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. Milani, A., Gronchi, G.F., Knezevic, Z., Sansaturio, M.E., Arratia, O.: 2005 `Orbit Determination with Very Short Arcs. II Identifications', to appear on Icarus Preprint through SIMCA preprint server
14. Gronchi, G.F.: 2005 `An algebraic method to compute the critical points of the distance function between two Keplerian orbits', to appear on Cel. Mech. Dyn. Ast. pdf ps (gzipped)

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. A. Milani et al.: `Unbiased orbit determination for the next generation asteroid/comet surveys', Proceedings of the ACM05 meeting, Bù zios, BR, August 2005, ps pdf