Papers

Project Papers

Baù G., Roa J.: “Uniform formulation for orbit computation: the intermediate elements”, CMDA (2020)
https://arxiv.org/abs/1912.00795

Calleja R., Celletti A., de la Llave R.: “Existence of whiskered KAM tori of conformally symplectic systems”, Nonlinearity (2019)
https://arxiv.org/abs/1901.07483

Calleja R., Celletti A., de la Llave R.: “Whiskered KAM Tori of Conformally Symplectic Systems”, accepted in Mathematics Research Report (2020)

Calleja R., Celletti A., de la Llave R.: “KAM theory for dissipative systems”, Preprint (2020)

Calleja R., Celletti A., de la Llave R.: “KAM estimates for the dissipative standard map”, Preprint (2020)
https://arxiv.org/abs/2002.10647

Calleja R., Celletti A., de la Llave R.: “Whitney regularity and monogenic dependence of solutions in KAM theory: an a-posteriori approach”, Manuscript (2020)

Calleja R., Celletti A., de la Llave R.: “Whitney regularity and monogenicity of quasi-periodic solutions in KAM theory: a simple approach based on a-posteriori theorems”, Preprint (2020)

Calleja R., Celletti A., Gimeno J., de la Llave R.: “Breakdown threshold and KAM estimates in the spin-orbit problem with tidal torque”, Manuscript (2020)

Caracciolo C., Locatelli U.: “Computer-assisted estimates for Birkhoff normal forms”, Journal of Computational Dynamics, 7(2), 425-460 (2020)
10.3934/jcd.2020017

Caracciolo C., Locatelli U.: “Elliptic tori in FPU non-linear chains with a small number of nodes”, Manuscript (2020)

Caracciolo C., Locatelli U., Sansottera M., Volpi M.: “Librational KAM tori in the secular dynamics of Upsilon-Andromedae planetary system”, Manuscript (2020)

Celletti A.: “The Laplace resonance: between theory and space missions”, accepted in Rendiconti del Seminario Matematico di Torino (2020)

Celletti A., Cinelli M., Pucacco G.: “Normal form for the dynamics around the collinear points of the Elliptic Restricted Three-Body Problem”, Manuscript (2020)

Celletti C., De Blasi I., Efthymiopoulos C.: “Nekhoroshev stability estimates for the satellites’ motion in MEO”, Manuscript (2020)

Celletti A., Gales C., Lhotka C.: “Resonances in the Earth’s space environment”, Comm. Nonlinear Sciences and Numerical Simulations, Volume 84, 105185 (2020)
https://arxiv.org/abs/1912.04593

Celletti A., Gimeno J., Misquero M., “The spin-spin problem in Celestial Mechanics”, Manuscript (2020)

De Blasi I., Celletti C., Efthymiopoulos C.: “Normal form estimates for satellites’ orbital stability”, Manuscript (2020)

Efthymiopoulos C., Mastroianni R.: “Kolmogorov Algorithms for isochronous Systems”, Manuscript (2020)

Fassò F., Passarella S., Zoppello M.: “Control of locomotion systems and dynamics in relative periodic orbits”, accepted in Journal of Geometric Mechanics (2020)
https://hal.archives-ouvertes.fr/hal-02546098

Fenucci M.: “Theory of local minimizers for variational periodic problems and applications to the N-body problem”, Preprint (2020)

Fenucci M., Gronchi G.F.: “Symmetric constellations of satellites moving around a central body of large mass”, Preprint (2020)

Fenucci M., Jorba Á.: “Braids with the symmetries of Platonic polyhedra in the Coulomb (N+1)-body problem”, Preprint (2019)
http://adams.dm.unipi.it/~fenucci/researc/coulomb.html

Gimeno J., Yang J., de la Llave R.: “Numerical computation of periodic orbits and isochrons for state-dependent delay perturbation of an ODE in the plane”, Manuscript (2020)

Gronchi G.F., Niederman, L.: “On the nodal distance between two Keplerian trajectories with a common focus”, CMDA (2020)
http://arxiv.org/abs/1909.03213
https://link.springer.com/article/10.1007/s10569-019-9944-y

Guzzo M., Efthymiopoulos C., Paez R.I.: “Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems”, J. Nonlin. Sci. , Vol. 30, 851-9010 (2020)
https://doi.org/10.1007/s00332-019-09594-9
https://www.math.unipd.it/~guzzo/Preprints/GEP19-AAM.pdf
https://arxiv.org/abs/1812.05430

Lari G., Saillenfest M., Fenucci M.: “Long-term evolution of the Galilean satellites: the capture of Callisto into resonance”, A&A (2020)
https://doi.org/10.1051/0004-6361/202037445

Paez R.I., Guzzo M.: “A study of temporary captures and collisions in the Circular Restricted Three-body problem with normalizations of the Levi-Civita Hamiltonian”, I. J. Non-Lin. Mech., Vol. 120, 103417 (2020)
https://doi.org/10.1016/j.ijnonlinmec.2020.103417
https://arxiv.org/abs/1904.04146

Penati T., Danesi V., Paleari S.: “Low dimensional completely resonant tori in Hamiltonian Lattices and a Theorem of Poincaré”, accepted in Mathematics in Engineering (2020)

Sansottera M., Danesi V., Penati T., Paleari S.: “On the continuation of degenerate periodic orbits via normal form: lower dimensional resonant tori”, Comm. Nonlinear Sciences and Numerical Simulations (2020)
https://arxiv.org/abs/2005.11859
https://doi.org/10.1016/j.cnsns.2020.105360

Scantamburlo E., Guzzo M.: “Short-period effects of the planetary perturbations on the Sun-Earth Lagrangian point L3 – Planetary perturbations of the Sun-Earth L3”, A&A, 638, A137 (2020)
https://doi.org/10.1051/0004-6361/202037696


Reference Papers

2019

Celletti A., Paita F., Pucacco G.: “The dynamics of Laplace-like resonances”, Chaos 29, 033111 (2019)
https://doi.org/10.1063/1.5087253

Pinzari G.: “A first integral to the partially averaged Newtonian potential of the three-body problem”, Cel. Mech. Dyn. Astr., vol. 131, 22 (2019)
https://arxiv.org/abs/1607.03056
https://doi.org/10.1007/s10569-019-9899-z

Sansottera M., Libert A.-S.: “Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance”, Cel. Mech. Dyn. Astr., vol. 131, 38 (2019)
https://arxiv.org/abs/1909.09462
https://doi.org/10.1007/s10569-019-9913-5

2018

Cardin F., Guzzo M.: “Integrability of the spatial three-body problem near collisions”, Preprint 2018
https://arxiv.org/abs/1809.01257

Celletti A., Gales C.: “Dynamics of resonances and equilibria of Low Earth Objects”, SIAM J. Appl. Dyn. Syst., vol. 17, 203-235 (2018)
https://arxiv.org/abs/1710.02519
https://doi.org/10.1137/17M1118671

Guzzo M., Lega E.: “Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem”, in press, Physica D, vol. 373, 38-58 (2018)
https://doi.org/10.1016/j.physd.2018.02.003

Ma H., Baù G., Bracali Cioci D., Gronchi G.F.: “Preliminary orbits with line-of-sight correction for LEO satellites observed with radar”, Cel. Mech. Dyn. Ast., vol. 130, 10, 1-20 (2018)
https://doi.org/10.1007/s10569-018-9867-z

Pinzari G.: Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem, Memoirs of the American Mathematical Society, vol. 255 (2018)
https://arxiv.org/abs/1501.04470
https://doi.org/10.1090/memo/1218

Volpi M., Locatelli U., Sansottera M.: “A reverse KAM method to estimate unknown mutual inclinations in exoplanetary systems”, Cel. Mech. Dyn. Astr., vol. 130, 36 (2018)
https://arxiv.org/abs/1712.07390
https://doi.org/10.1007/s10569-018-9829-5

2017

Calleja R., Celletti A., de la Llave R.: “Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems”, Nonlinearity, vol. 30, 3151-3202 (2017)
https://arxiv.org/abs/1506.00057
https://doi.org/10.1088/1361-6544/aa7738

Giorgilli A., Locatelli U., Sansottera M.: “Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability into the light of Kolmogorov and Nekhoroshev theories”, Regul. Chaot. Dyn. vol. 22, 54-77 (2017)
https://arxiv.org/abs/1702.04894
https://doi.org/10.1134/S156035471701004X

Guzzo M., Lega E.: “Scenarios for the dynamics of comet 67P/Churyumov-Gerasimenko over the past 500 kyr”, Mon. Not. Royal Astron. Soc., vol. 469, Suppl_2, 21 (2017)
https://doi.org/10.1093/mnras/stx1669

2016

Fassò F., Fontanari D., Sadovskii D.: “Quantum manifestations of Nekhoroshev stability”, Physics Letters A, Vol. 380, 3167-3172 (2016)
https://doi.org/10.1016/j.physleta.2016.07.047

Gronchi G.F., Baù G., Milani A.: “Keplerian integrals, elimination theory and identification of very short arcs in a large database of optical observations” , Cel. Mech. Dyn. Ast., vol. 127, 2, 211-232 (2016)
https://doi.org/10.1007/s10569-016-9725-9

Guzzo M., Chierchia L., Benettin G.: “The steep Nekhoroshev’s Theorem”, Communications in Mathematical Physics, vol. 342, 2, 569-601 (2016)
https://arxiv.org/abs/1403.6776
https://doi.org/10.1007/s00220-015-2555-x

Lega E., Guzzo M.: “Three-dimensional representations of the tube manifolds of the planar restricted three-body problem”, Physica D, vol. 352, 41-52 (2016)
https://doi.org/10.1016/j.physd.2016.02.012

Paez R.I., Locatelli U., Efthymiopoulos C.: “New Hamiltonian expansions adapted to the Trojan problem”, Cel. Mech. Dyn. Astr., vol. 126, 519-541 (2016)
https://arxiv.org/abs/1606.04741
https://doi.org/10.1007/s10569-016-9710-3

2015

Baù G., Bombardelli C., Peláez J., Lorenzini E.: “Non-singular orbital elements for special perturbations in the two-body problem”, Mon. Not. Royal Astron. Soc., vol. 454, 3, 2890-2908 (2015)
https://doi.org/10.1093/mnras/stv2106

Fassò F., García-Naranjo L. C., Giacobbe A.: “Quasi-periodicity in relative quasi-periodic tori”, Nonlinearity, Vol. 28, 11, 4281 (2015)
https://arxiv.org/abs/1411.7976
https://doi.org/10.1088/0951-7715/28/11/4281

Fassò F., Fontanari D., Sadovskií, D.A.: “An Application of Nekhoroshev Theory to the Study of the Perturbed Hydrogen Atom”, Math. Phys. Anal. Geom. Vol. 18, 30, (2015)
https://doi.org/10.1007/s11040-015-9200-y

Gronchi G.F., Baù G., Marò, S.: “Orbit determination with the two-body integrals. III” , Cel. Mech. Dyn. Ast., vol. 123, 2, 105-122 (2015)
https://doi.org/10.1007/s10569-015-9623-6

Gronchi G.F., Dimare L., Bracali Cioci D., Ma, H.: “On the computation of preliminary orbits for Earth satellites with radar observations”, Mon. Not. Royal Astron. Soc., vol. 451, 2, 1883-1891 (2015)
https://doi.org/10.1093/mnras/stv1010