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Project Papers

Baù G., Hernando-Ayuso J., Bombardelli C.: “A generalization of the equinoctial orbital elements”, CMDA (2021)

Baù G., Roa J.: “Uniform formulation for orbit computation: the intermediate elements”, CMDA (2020)

Burgos-Garcia J., Celletti A., Gales C., Gidea M., Lam W.T.: “Hill four-body problem with oblate tertiary: an application to the Sun-Jupiter-Hektor-Skamandrios system”, J. Nonlinear Science (2021)

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

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)

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.: “A map reduction and KAM 
tori construction for the dissipative spin-orbit problem”, Preprint (2021)

Calleja R., Celletti A., Gimeno J., de la Llave R.: “KAM estimates 
in the dissipative spin-orbit problem”, Preprint (2021)

Calleja R., Celletti A., Gimeno J., de la Llave R.: “Breakdown threshold 
of invariant attractors in the dissipative spin-orbit problem”, Preprint (2021)

Caracciolo C., Locatelli U.: “Computer-assisted estimates for Birkhoff normal forms”, Journal of Computational Dynamics (2020)

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

Cardin F., Guzzo M.: “Integrability of close encounters in the spatial restricted three-body problem”, accepted for publication in Communications in Contemporary Mathematics (2021)

Cavallari I., Gronchi G.F., Baù G.: “On the Sun-shadow dynamics”, Preprint (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”, Rendiconti Sem. Mat. Univ. Pol. Torino (2020)

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

Celletti A., Gales C.: “Resonant dynamics of space debris”, Preprint (2020)

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

Celletti A., Gimeno J., Misquero M., “The spin-spin problem in Celestial Mechanics”, Preprint (2021)

Celletti A., Karampotsiou E., Lhotka C., Pucacco G., Volpi M., “The evolution of the Galilean system under tidal forces”, Preprint (2021)

Celletti A., Karampotsiou E., Lhotka C., Pucacco G., Volpi M., “Laplace-like resonances with tidal effects”, accepted for publication in A&A (2021)

Celletti A., Pucacco G., Vartolomei T., “Proper elements for space debris”, Preprint (2021)

Dalla Via M., Fassò F., Sansonetto N., “On the dynamics of a heavy symmetric ball that rolls without sliding on a uniformly rotating surface of revolution”, Preprint (2021)

De Blasi I., Celletti C., Efthymiopoulos C.: “Semi-analytical estimates for the orbital stability of Earth’s satellite”, accepted for publication in J. Nonlinear Science (2021)

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

Facca E., Berti L., Fassò F., Putti M.: “Computing the Cut Locus of a Riemannian Manifold via Optimal Transport”, Preprint (2021)

Fassò F., Passarella S., Zoppello M.: “Control of locomotion systems and dynamics in relative periodic orbits”, Journal of Geometric Mechanics (2020)

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)

García-Azpeitia, García-Naranjo: “Platonic Solids and Symmetric Solutions of the N-vortex Problem on the Sphere”, Journal of Nonlinear Science, 32:39 (2022)

Gimeno J., Jorba À., Nicolás B., Olmedo E.: “Parallelization of parametrization of high dimensional KAM tori”, Preprint (2021)

Gimeno J., Lessard J.-P., Mireles James J.D., J. Yang: “Computer Assisted Proofs for Persistence of Periodic Orbits in Functional Differential Equations  Close to ODE”, Preprint (2021)

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

Gronchi G.F.: “Orbit determination with the Keplerian integrals”, Preprint (2021)

Gronchi G.F., Baù G., Rodríguez del Río Ò., Jedicke R., Moeyens J.: “Generalization of a method by Mossotti for initial orbit determination”, accepted for publication in CMDA (2021)

Gronchi G.F., Niederman, L.: “On the nodal distance between two Keplerian trajectories with a common focus”, CMDA (2020)

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)

Lari G., Saillenfest M., Fenucci M.: “Long-term evolution of the Galilean satellites: the capture of Callisto into resonance”, A&A (2020)

Páez 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. (2020)

Páez R.I., Guzzo M.: “Transits close to the Lagrangian solutions L1, L2 in the Elliptic Restricted Three-body Problem”, Nonlinearity (2021)

Páez R.I., Guzzo M.: “On the semianalytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem”, Physica D, 439, 133402 (2022)

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

Rodríguez Ó., Gronchi G.F., Baù G., Jedicke R.: “Numerical behaviour of the Keplerian Integral methods for initial orbit determination”, Icarus, 384, 115080 (2022)

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)

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 (2020)

Scantamburlo E., Guzzo M., Páez R.I.: “Interplanetary transfers using stable and unstable manifold tubes originating at L1 and L2 in the elliptic restricted three-body problems”, Acta Astronautica, 200, 97-110 (2022)

J. Yang, J. Gimeno, R. de la Llave: “Persistence and Smooth Dependence on 
Parameters of Periodic Orbits in Functional Differential Equations Close to an ODE or an Evolutionary PDE”, Preprint (2021)

Reference Papers


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

Pinzari G.: “A first integral to the partially averaged Newtonian potential of the three-body problem”, Cel. Mech. Dyn. Astr., vol. 131, 22 (2019)

Sansottera M., Libert A.-S.: “Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance”, Cel. Mech. Dyn. Astr., vol. 131, 38 (2019)


Cardin F., Guzzo M.: “Integrability of the spatial three-body problem near collisions”, Preprint 2018

Celletti A., Gales C.: “Dynamics of resonances and equilibria of Low Earth Objects”, SIAM J. Appl. Dyn. Syst., vol. 17, 203-235 (2018)

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)

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)

Pinzari G.: “Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem”, Memoirs of the American Mathematical Society, vol. 255 (2018)

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)


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)

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)

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)


Fassò F., Fontanari D., Sadovskii D.: “Quantum manifestations of Nekhoroshev stability”, Physics Letters A, Vol. 380, 3167-3172 (2016)

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)

Guzzo M., Chierchia L., Benettin G.: “The steep Nekhoroshev’s Theorem”, Communications in Mathematical Physics, vol. 342, 2, 569-601 (2016)

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)

Paez R.I., Locatelli U., Efthymiopoulos C.: “New Hamiltonian expansions adapted to the Trojan problem”, Cel. Mech. Dyn. Astr., vol. 126, 519-541 (2016)


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)

Fassò F., García-Naranjo L. C., Giacobbe A.: “Quasi-periodicity in relative quasi-periodic tori”, Nonlinearity, Vol. 28, 11, 4281 (2015)

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)

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)

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)