Alessandra Celletti


 

List of publications by Alessandra Celletti


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celletti@mat.uniroma2.it

 

Papers on peer-reviewed journals:


[1] Celletti A., Chierchia L., Rigorous estimates for a Computer-assisted KAM theory, Journal of Mathematical Physics, vol. 28, p.2078-2086 (1987)

[2] Celletti A., Falcolini C., Porzio A., Rigorous numerical stability estimates for the existence of KAM tori in a forced pendulum, Ann. Inst. H. Poincare', vol. 47, p.85-111 (1987)

[3] Celletti A., Falcolini C., Porzio A., Rigorous KAM stability statements for non-autonomous one-dimensional hamiltonian systems, Rendiconti del Seminario Matematico della Universita' e del Politecnico di Torino, vol. 45, p.43-70 (1987)

[4] Celletti A., Falcolini C., A remark on the KAM theorem applied to a four vortex system, Journal of Statistical Physics, vol. 52, p.471-477 (1988)

[5] Celletti A., Chierchia L., Construction of analytic KAM surfaces and effective stability bounds, Commun. in Math. Physics, vol. 118, p.119-161 (1988)

[6] Celletti A., Chierchia L., On rigorous stability results for low-dimensional KAM surfaces, Physics Letters A, vol. 128, p.166-168 (1988)

[7] Celletti A., Giorgilli A., On the numerical optimization of KAM estimates by classical perturbation theory, Journal of Applied Mathematics and Physics (ZAMP), vol. 39, p.743-747 (1988)

[8] Celletti A., Francoise J.-P., Matrix-second order differential equations and chaotic Hamiltonian systems, Journal of Applied Mathematics and Physics (ZAMP), vol. 40, p.925-930 (1989)

[9] Celletti A., Analysis of resonances in the spin-orbit problem in Celestial Mechanics: the synchronous resonance (Part I), Journal of Applied Mathematics and Physics (ZAMP), vol. 41, p.174-204 (1990)

[10] Celletti A., Analysis of resonances in the spin-orbit problem in Celestial Mechanics: Higher order resonances and some numerical experiments (Part II), Journal of Applied Mathematics and Physics (ZAMP), vol. 41, p.453-479 (1990)

[11] Celletti A., Chierchia L., Invariant curves for area-preserving twist maps far from integrable, Journal of Statistical Physics, vol. 65, p.617 (1991)

[12] Celletti A., Giorgilli A., On the stability of the Lagrangian points in the spatial restricted problem of three bodies, Celestial Mechanics and Dynamical Astronomy, vol. 50, p.31-58 (1991)

[13] Celletti A., Falcolini C., Construction of invariant tori for the spin-orbit problem in the Mercury-Sun system, Celestial Mechanics and Dynamical Astronomy, vol. 53, p.113-127 (1992)

[14] Berretti A., Celletti A., Chierchia L., Falcolini C., Natural Boundaries for Area-Preserving Twist Maps, Journal of Statistical Physics, vol. 66, p.1613-1630 (1992) (preprint on mp_arc)

[15] Laskar J., Froeschle' C., Celletti A., The measure of chaos by the numerical analysis of the fundamental frequencies. Application to the standard mapping, Physica D, vol. 56, p.253-269 (1992)

[16] Celletti A., Stability of the synchronous spin-orbit resonance by construction of librational trapping tori, Celestial Mechanics and Dynamical Astronomy, vol. 57, p.325-328 (1993)

[17] Celletti A., Construction of librational invariant tori in the spin-orbit problem, J. of Applied Math. and Physics (ZAMP), vol. 45, p.61-80 (1993)

[18] Celletti A., Falcolini C., Tedeschini Lalli L., The basin of attraction of a spin-orbit resonance, International Journal of Bifurcation and Chaos, vol. 3, n. 5, p.1305-1309 (1993)

[19] Celletti A., Negrini P., On the instability of the equilibrium for a Lagrangian system with gyroscopic forces, Nonlinear diff. eq. and Appl., vol. 1, p.313-322 (1994)

[20] Celletti A., Chierchia L., A constructive theory of Lagrangian tori and computer-assisted applications, Dynamics Reported, New Series, Springer-Verlag, vol. 4, p.60-129 (1995)

[21] Celletti A., Normal form for librational curves of the standard-map, Meccanica, vol. 30, n. 3, p.251-260 (1995)

[22] Celletti A., Negrini P., Non-integrability of the problem of motion around an oblate planet, Celestial Mechanics and Dynamical Astronomy, vol. 61, p.253-260 (1995)

[23] Celletti A., Froeschle' C., On the determination of the stochasticity threshold of invariant curves, Int. J. of Bifurcation and Chaos, vol. 5, n. 6, p. 1713-1719 (1995)

[24] Celletti A., Villa A.E.P., Low dimensional chaotic attractors in the rat brain, Biological Cybernetics, vol. 74, n. 5, p. 387-393 (1996)

[25] Celletti A., Froeschle' C., Lega E., Determination of the frequency vector in the four dimensional standard mapping, International Journal of Bifurcation and Chaos, vol. 6, n.8, p.1579-1585 (1996)

[26] Celletti A., Ferrara L., An application of Nekhoroshev theorem to the restricted three-body problem, Celestial Mechanics and Dynamical Astronomy, vol. 64, p. 261-272 (1996)

[27] Celletti A., Villa A.E.P., Determination of chaotic attractors in the rat brain, Journal of Statistical Physics, vol. 84, nos. 5/6, p. 1379-1385 (1996)

[28] Celletti A., Chierchia L., On the stability of realistic three body problems, Comm. Math. Physics, vol. 186, p. 413-449 (1997) (preprint on mp_arc)

[29] Celletti A., Bajo V., Villa A.E.P., Correlation dimension for paired discrete time series, Journal of Statistical Physics, vol. 89, n.2/4, p. 877-884 (1997)

[30] Celletti A., Bajo V., Villa A.E.P., Correlation dimension for two experimental time series, Meccanica, vol. 33, p. 381-396 (1998)

[31] Villa A.E.P., Tetko I.V., Celletti A., Riehle A., Chaotic dynamics in the primate motor cortex depend on behavioral context in a reaction-time task, Current Psychology of Cognition vol. 17 (4-5), 763-780 (1998)

[32] Celletti A., Froeschle' C., Numerical investigation of the break-down threshold for a restricted three-body problem, Planetary and Space Science, vol.46 (11-12), 1535-1542 (1998)

[33] Celletti A., Chierchia L., KAM stability estimates in Celestial Mechanics, Planetary and Space Science, vol.46 (11-12), 1433-1440 (1998)

[34] Celletti A., Tetko I., Villa A.E.P., Analysis of the deterministic behaviour of experimental series, Intern. Conference on Disorder and Chaos, J. de Physique IV, vol. 8, p. 209-213 (1998)

[35] Celletti A., Della Penna G., Froeschle' C., Analytical approximation of the solution of the dissipative standard map, International Journal of Bifurcation and Chaos, vol. 8, n. 12, p. 2471-2479 (1998)

[36] Celletti A., Chierchia L., Construction of stable periodic orbits for the spin-orbit problem of Celestial Mechanics, Regular and Chaotic Dynamics, (Editorial URSS), Vol.3, no. 3, 107-121 (1998) (preprint on mp_arc)

[37] Celletti A., Froeschle' C., Tetko I., Villa A.E.P., Deterministic behaviour of short time series, Meccanica, vol. 34, p. 147-154 (1999)

[38] Andreu M.A., Celletti A., Falcolini C., Break-down of librational invariant surfaces, Int. J. Bif. and Chaos, vol. 9, n. 5, p. 975-982 (1999) (preprint on mp_arc)

[39] Chandre C., Jauslin H.R., Benfatto G., Celletti A., Approximate renormalizaton-group transformation for Hamiltonian systems with three degrees of freedom, Phys. Rev. E, vol.60, n.5, p. 5412-5421 (1999) (preprint on arXiv)

[40] Celletti A., Chierchia L., Hamiltonian stability of spin-orbit resonances in Celestial Mechanics, Celestial Mechanics and Dynamical Astronomy, vol.76, p. 229-240 (2000)

[41] Celletti A., Giorgilli A., Locatelli U., Improved estimates on the existence of invariant tori for Hamiltonian systems, Nonlinearity, vol. 13, p. 397-412 (2000)

[42] Lega E., Celletti A., Della Penna G., Froeschle' C., On the computation of Lyapunov exponents for discrete time series. Applications to two dimensional symplectic and dissipative mappings, Int. J. Bif. and Chaos, vol. 10, n. 12, pp. 2791-2805 (2000)

[43] Celletti A., Falcolini C., Normal form invariants around spin-orbit periodic orbits, Celestial Mechanics and Dynamical Astronomy, vol. 78, n.1-4, pp. 227-241 (2000) (preprint on mp_arc)

[44] Celletti A., Falcolini C., Singularities of periodic orbits near invariant curves, Physica D, Vol. 170, n. 2, pp. 87-102 (2002) (preprint on mp_arc)

[45] Celletti A., Della Penna G., Froeschle' C., Estimate of the transition value of librational invariant curves, Cel. Mech. and Dyn. Astron., vol. 83, 1, p. 257-274 (2002)

[46] Celletti A., Chessa A., Hadjidemetriou J., Valsecchi G.B., A systematic study of the stability of symmetric periodic orbits in the planar, circular, restricted three-body problem, Cel. Mech. and Dyn. Astron., vol. 83, 1, p. 239-255 (2002) (preprint on mp_arc)

[47] Celletti A., Falcolini C., Locatelli U., On the break-down threshold of invariant tori in four dimensional maps, Regular and Chaotic Dynamics, vol. 9, n. 3, 227-253 (2004) (preprint on mp_arc)

[48] Celletti A., Froeschle' C., Lega E., Frequency analysis of the stability of asteroids in the framework of the restricted, three-body problem, Cel. Mech and Dyn. Astr., vol. 90, n. 3-4, 245-266 (2004)

[49] Celletti A., Pinzari G., Four classical methods for determining planetary elliptic elements: a comparison, Cel. Mech. and Dyn. Astr., vol. 93, n. 1, 1-52 (2005) (preprint on mp_arc)

[50] Celletti A., Chierchia L., KAM Stability for a three-body problem of the Solar system, ZAMP, vol. 57, n. 1, pp. 33-41 (2005)

[51] Celletti A., Froeschle' C., Lega E., Dissipative and weakly-dissipative regimes in nearly-integrable mappings, DCDS-A, vol. 16, n. 4, 757-781 (2006)

[52] Celletti A., Chierchia L., KAM tori for N-body problems (a brief history), Celestial Mechanics and Dynamical Astronomy, vol. 95, n. 1, 117-139 (2006) (preprint on mp_arc)

[53] Celletti A., Pinzari G., Dependence on the observational time intervals and domain of convergence of orbital determination methods, Celestial Mechanics and Dynamical Astronomy, vol. 95, n. 2, 327-344 (2006) (preprint on mp_arc)

[54] Celletti A., Chierchia L., KAM Stability and Celestial Mechanics, Memoirs of the American Mathematical Society, vol. 187, n. 878 (2007) (preprint on mp_arc)

[55] Celletti A., Froeschle' C., Lega E., Dynamics of the conservative and dissipative spin-orbit problem, Planetary and Space Science, vol. 55, 889-899 (2007) (preprint on mp_arc)

[56] Celletti A., Kotoulas T., Voyatzis G., Hadjidemetriou J., A study of the dynamical stability in the Kuiper belt, Monthly Notices of the Royal Astronomical Society, vol. 378, n. 3, pp. 1153-1164 (2007)

[57] Celletti A., MacKay R.S., Regions of non-existence of invariant tori for spin-orbit models, Chaos, vol. 17, 043119, pp. 12 (2007) (preprint on mp_arc)

[58] Celletti A., Sidorenko V., Some properties of the dumbbell satellite attitude dynamics, Celestial Mechanics and Dynamical Astronomy, vol. 101, p. 105-126 (2008)

[59] Celletti A., Chierchia L., Measures of basins of attraction in spin-orbit dynamics, Celestial Mechanics and Dynamical Astronomy, vol. 101, 159-170 (2008)

[60] Celletti A., Chierchia L., Quasi-periodic attractors in Celestial Mechanics, Archive for Rational Mechanics and Analysis, vol. 191, no. 2, 311-345 (2009) (preprint on mp_arc)

[61] Celletti A., Periodic and quasi-periodic attractors of weakly-dissipative nearly-integrable systems, Reg. Chaotic Dyn., Vol. 14, n. 1, 49-63 (2009)

[62] Celletti A., Guzzo M., Cantori of the dissipative sawtooth map, CHAOS, vol. 19, 013140 (2009)

[63] Calleja R., Celletti A., Breakdown of invariant attractors for the dissipative standard map, CHAOS, vol. 20, issue 1, 013121 (2010) (preprint on mp_arc)

[64] Celletti A., Voyatzis G., Regions of stability in rotational dynamics, Celestial Mechanics and Dynamical Astronomy, Vol. 107, Issue 1, 101-113 (2010)

[65] Sidorenko V., Celletti A., A "spring-mass" model of tethered satellite systems: properties of planar periodic motions, Celestial Mechanics and Dynamical Astronomy, Vol. 107, Issue 1, 209-231 (2010) (link to the journal)

[66] Celletti A., Some KAM applications to Celestial Mechanics, DCDS-S, Vol. 3, n. 4, 533-544 (2010)

[67] Celletti A., Di Ruzza S., Lhotka C., Stefanelli L., "Nearly-Integrable Dissipative Systems and Celestial Mechanics", The European Phys. Jour. - Special Topics, Vol. 186, n. 1, 33-66 (2010)

[68] Celletti A., Stefanelli L., Lega E., Froeschle' C., "Global dynamics of the regularized restricted three-body problem with dissipation", Cel. Mech. and Dyn. Astr., vol. 109, 265-284 (2011)

[69] Celletti A., Di Ruzza S., "Periodic and quasi-periodic attractors of the dissipative standard map", DCDS-B , vol. 16, n. 1, 151-171 (2011) (paper)

[70] Celletti A., Lhotka C., "A Dynamical System Approach to Astrodynamics", Acta Futura, vol. 4, 53-68 (2011) (available here)

[71] Celletti A., "Some aspects of conservative and dissipative KAM theorems", Milan Journal of Mathematics, Volume 80, Issue 1, 25--46 (2012)

[72] Celletti A., Lhotka C., "Normal form construction for nearly-integrable systems with dissipation", Regular and Chaotic Dynamics, Vol. 17, n. 3-4, 273-292 (2012)

[73] Celletti A., "Some stability results on nearly-integrable systems (with dissipation)", Note di Matematica, Vol. 32, n. 1, p. 47-62 (2012)

[74] Celletti A., Lhotka C., "Stability of nearly-integrable systems with dissipation", Int. J. Bifurcation and Chaos, Vol. 23, n. 2, 25 pp.(2013)

[75] Calleja R., Celletti A., de la Llave R., "Construction of response functions in forced strongly dissipative systems", DCDS-A, vol. 33, n. 10, p. 4411-4433 (2013) (preprint on mp_arc)

[76] Calleja R., Celletti A., de la Llave R., "Local behavior near quasi-periodic solutions of conformally symplectic systems", J. Dynam. Differential Equations, vol. 25, n. 3, p. 821-841 (2013) (preprint on mp_arc)

[77] Calleja R., Celletti A., de la Llave R., "A KAM theory for conformally symplectic systems: efficient algorithms and their validation", J. Differential Equations, vol. 255, n. 5, 978-1049 (2013) (preprint on mp_arc)

[78] Celletti A., Lhotka C., "Transient times, resonances and drifts of attractors in dissipative rotational dynamics", Commun. Nonlinear Sci. Numer. Simulat., vol. 19, n. 9, 3399-3411 (2014) (preprint on arXiv)

[79] Calleja R., Celletti A., Falcolini C., de la Llave R., "An extension of Greene's criterion for conformally symplectic systems and a partial justification", SIAM J. Math. Anal. vol. 46, n. 4, 2350-2384 (2014) (preprint on mp_arc)

[80] Celletti A., Gales C., "On the dynamics of space debris: 1:1 and 2:1 resonances", J. Nonlinear Science, vol. 24, n. 6, 1231-1262 (2014) (preprint on arXiv)

[81] Ceccaroni M., Celletti A., "Some models for the description of the attitude dynamics", "Rendiconti di Matematica e delle sue applicazioni", Serie VII, Volume 35, Fascicolo III-IV, 159-188 (2014)

[82] Celletti A., "Low-cost travels within the Solar system", La Matematica nella SocietÓ e nella Cultura-Rivista dell'UMI, Serie I, Vol. VII, 157-180 (Agosto 2014)

[83] Lhotka C., Celletti A., "The effect of Poynting-Robertson drag on the triangular Lagrangian points", Icarus, vol. 250, 249-261 (2015) (preprint on arXiv)

[84] Celletti A., Pucacco G., Stella D., "Lissajous and Halo orbits in the restricted three-body problem", J. Nonlinear Science, vol. 25, Issue 2, 343-370 (2015)

[85] Celletti A., Gales C., "A study of the main resonances outside the geostationary ring", Advances in Space Research 56, 388-405 (2015) (preprint on arXiv)

[86] Celletti A., Gales C., "Dynamical investigation of minor resonances for space debris", Cel. Mech. and Dyn. Astr., Volume 123, Issue 2, 203-222 (2015) (preprint on arXiv)

[87] Ceccaroni M., Celletti A., Pucacco G., "Halo orbits around the collinear points of the restricted three-body problem", Physica D, vol. 317, 28-42 (2016) DOI 10.1016/j.physd.2015.12.004, (preprint on arXiv)

[88] Bucciarelli S., Ceccaroni M., Celletti A., Pucacco G., "Qualitative and analytical results of the bifurcation thresholds to halo orbits", Annali di Matematica Pura e Applicata, 195(2), 489-512 (2016) (preprint on arXiv)

[89] Ceccaroni M., Celletti A., Pucacco G., "Birth of periodic and artificial halo orbits in the restricted three-body problem", International Journal of Non-Linear Mechanics, vol. 81, 65-74 (2016)

[90] Celletti A., Gales C., "A study of the lunisolar secular resonance $2\dot{\omega}+\dot{\Omega}=0$", Front. Astron. Space Sci. - Fundamental Astronomy, 31 March 2016 | http://dx.doi.org/10.3389/fspas.2016.00011 (on-line paper) (preprint on arXiv)

[91] Gkolias I., Celletti A., Efthymiopoulos C., Pucacco G., "The theory of secondary resonances in the spin-orbit problem", MNRAS, Vol. 459, 1327-1339 (2016) (preprint on arXiv)

[92] Lhotka C., Celletti A., Gales C., "Poynting-Robertson drag and solar wind in the space debris problem", MNRAS, vol. 460, n. 1, 802-815 (2016) (preprint on arXiv)

[93] Celletti A., Gales C., Pucacco G., "Bifurcation of lunisolar secular resonances for space debris orbits", SIAM J. Appl. Dyn. Syst., vol. 15, n. 3, 1352-1383 (2016). Featured article -- (preprint on arXiv)

[94] Vetrisano M., Celletti A., Pucacco G., "Asteroid debris: temporary capture and escape orbits", International Journal of Non-linear Mechanics, vol. 86, 23-32 (2016)

[95] Celletti A., Gales C., Pucacco G., Rosengren A., "Analytical development of the lunisolar disturbing function and the critical inclination secular resonance", Celestial Mechanics and Dynamical Astronomy, DOI: 10.1007/s10569-016-9726-8, vol. 127, n. 3, 259-283 (2017) (preprint on arXiv) (shared link)

[96] Gachet F., Celletti A., Pucacco G., Efthymiopoulos C., "Geostationary secular dynamics revisited: application to high area-to-mass ratio objects", Celestial Mechanics and Dynamical Astronomy, Volume 128, Issue 2-3, 149-181, DOI: 10.1007/s10569-016-9746-4 (2017) (preprint on arXiv)

[97] Celletti A., Efthymiopoulos C., Gachet F., Gales C., Pucacco G., "Dynamical models and the onset of chaos in space debris", accepted for publication in Int. J. Nonlinear Mechanics, DOI: 10.1016/j.ijnonlinmec.2016.12.015, vol. 90, 47-163 (2017) (preprint on arXiv)

[98] Gkolias I., Efthymiopoulos C., Pucacco G., Celletti A., "Hamiltonian formulation of the spin-orbit model with time-varying non-conservative forces", Commun. Nonlinear Sci. Numer. Simulat., vol. 51, 23-38 (2017) (preprint on arXiv)

[99] Calleja R., Celletti A., Corsi L., de la Llave R., "Response solutions for quasi-periodically forced, dissipative wave equations", SIAM J. Mathematical Analysis, vol. 49, n. 4, 3161-3207 (2017) (preprint on mp_arc)

[100] Celletti A., Paita F., Pucacco G., "Twist and non-twist regimes of the oblate planet problem", Rend. Acc. Naz. Lincei, Vol. 28, 535-552 (2017)

[101] Calleja R., Celletti A., de la Llave R., "Domains of analyticity of Lindstedt expansions of KAM tori in dissipative perturbations of Hamiltonian systems", Nonlinearity, vol. 30, 3151-3202 (2017) (preprint on mp_arc)

[102] Celletti A., Gales C., "Dynamics of resonances and equilibria of Low Earth Objects", accepted for publication in SIAM J. Appl. Dyn. Syst. (2017) (preprint on arXiv)

 


Preprints:

[1] Celletti A., Paita F., Pucacco G., "The dynamics of the de Sitter resonance", Preprint 2017

 


Book's chapters and Encyclopaedia's items:


[1] Celletti A., Rigorous and numerical determination of rotational invariant curves for the standard map, in "Analysis and Modelling of Discrete Dynamical Systems", Gordon and Breach Science Publishers, June 1998, p. 149-180 (1997)

[2] Celletti A., Froeschle' C., Tetko I., Villa A.E.P., Deterministic dynamics of discrete time series: a review of the basic techniques and a recent method for short time series, "The Restless Universe: Applications of Gravitational N-Body Dynamics to Planetary, Stellar and Galactic Systems" eds B A Steves and A J Maciejewski, Institute of Physics, Bristol, p. 339-360, 2001

[3] Celletti A., The Levi-Civita and KS regularizing transformations, in "Singularities in Gravitational Systems", D. Benest, C. Froeschle' eds., Springer-Verlag, Berlin, Heidelberg, p. 1-24, 2002

[4] Celletti A., Singularities, collisions and regularizing transformations, in "Singularities in Gravitational Systems", D. Benest, C. Froeschle' eds., Springer-Verlag, Berlin, Heidelberg, p. 25-48, 2002

[5] Celletti A., C. Froeschle', E. Lega, From regular to chaotic motions through the work of Kolmogorov, Lect. Notes Phys., vol. 636, pp. 33-59 (2003); versione francese: Des mouvements reguliers aux mouvements chaotiques a travers le travail de Kolmogorov, in "L'heritage de Kolmogorov en physique", R. Livi, A. Vulpiani eds., Belin, Paris (2003)

[6] Biasco L., Celletti A., Perturbative series expansions: theoretical aspects and numerical investigations, Harmonic analysis and rational approximation, Lecture Notes in Control and Information Sciences, Springer, Editors: J. -D. Fournier, J. Grimm, J. Leblond, J. R. Partington, vol. 327, pp. 233-261 (2006)

[7] Celletti A., Stability problems in Celestial Mechanics, Encyclopedia of Mathematical Physics, eds. J.-P. Franšoise, G.L. Naber and Tsou S.T. Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), vol. 5, pp. 20-25

[8] Celletti A., Basics of regularization theory, in "Chaotic Worlds: from order to disorder in gravitational N-body dynamical systems", B.A. Steves ed., Springer, 203-230 (2006)

[9] Celletti A., Computational celestial mechanics. Scholarpedia, 3(9):4079 (2008)

[10] Celletti A., Weakly dissipative systems in Celestial Mechanics, Lecture Notes in Physics, Springer, vol. 729, pp. 67-90 (2008)

[11] Celletti A., "Perturbation Theory in Celestial Mechanics", Mathematics of Complexity and Dynamical Systems, R.A. Meyer ed., Springer, 1301-1313 (2011) (preprint on mp_arc)

[12] Celletti A., "Regular and chaotic dynamics of periodic and quasi-periodic motions", in "Space Manifold Dynamics: Novel Spaceways for Science and Exploration", E. Perozzi, S. Ferraz-Mello eds., Springer 2010, ISBN: 978-1-4419-0347-1

[13] Celletti A., "Celestial Mechanics: from antiquity to modern times", in "Celestial Mechanics", EOLSS-UNESCO publ., ISBN 978-1-78021-519-8 (2015)

[14] Celletti A., Gachet F., "Regular and chaotic motions in Dynamical Systems with applications to asteroid and debris dynamics", in "Asteroid and Space Debris Manipulation: Advances from the Stardust Research Network", M. Vasile, E. Minisci eds., American Institute of Aeronautics and Astronautics publ. (2016)

 


Papers on proceedings:

[1] Celletti A., Chierchia L., A report on some new KAM estimates, in Proceedings of NATO school: Long-term dynamical behaviour of natural and artificial N-body systems, ed. A.E.Roy, NATO ASI Series C, vol. 246, p.371-375 (1988)

[2] Celletti A., Chierchia L., A computer-assisted approach to small-divisors problems arising in hamiltonian mechanics, in "Computer aided proofs in analysis", K.R. Meyer, D.S. Schmidt eds., IMA Volumes in Math. and its Applications, Springer-Verlag, New York, vol. 28, p. 43-51 (1991)

[3] Celletti A., Stability of satellites in spin-orbit resonances and capture probabilities, Proceedings della scuola NATO: "Predictability, Stability and Chaos", ed. A.E.Roy, NATO ASI, p.337-344  (1991)

[4] Celletti A., Librational invariant surfaces in the spin-orbit problem, in Hamiltonian Mechanics: Integrability and chaotic behaviour, Seimenis J. ed., Plenum Press, New York, Series B: Physics, Vol. 331, p. 229-235 (1994) 

[5] Celletti A., Perturbation expansions around elliptic fixed points in the spin-orbit problem, Proceedings della scuola NATO ASI: "From Newton to Chaos", ed. A.E.Roy and B.A. Steves, Plenum Press, New York, p.269-277 (1995)

[6] Celletti A., Villa A.E.P., Dynamical analysis of experimental time series, in the prooc. of the Ecole Thematique du CNRS "Reconstruction d'attracteurs et mesure du chaos a partir de l'analyse d'un signal", Oleron (France), May 26-31, p. 115-125 (1997)

[7] Celletti A., Stability problems in Celestial Mechanics, International Symposium on Astrophysics Research and Science Education, C. Impey ed., p. 104-108 (1999)

[8] Celletti A., Della Penna G., Froeschle' C., Analytical approximation of the dissipative standard map, Extended Abstract 1998, "Impact of modern dynamics in astronomy", J. Henrard, S. Ferraz-Mello eds.

[9] Celletti A., Froeschle' C., Tetko I., Villa A.E.P., Detection of deterministic dynamics in short discrete time series, Proc. of the workshop "Chaos in Brain", Bonn, 10-12 March 1999

[10] Celletti A., Invariant tori and periodic orbits in some problems of Celestial Mechanics, Planetary Science: Third Italian Meeting, Alenia Spazio, pp. 51-61 (2001)

[11] Celletti A., Falcolini C., Periodic orbits approximation of analyticity domains of invariant curves, proceedings of CELMEC 3 "A Meeting on Celestial Mechanics", Roma, 18-22 June, 2001

[12] Celletti A., Villa A.E.P., Analysis of short time series with applications to neurobiology, proceedings "Mathematical Modelling & Computing in Biology and Medicine", V. Capasso ed., Milano, 2-6 Luglio 2002

[13] Celletti A., "Perturbative approaches for the analysis of the spin-orbit problem", proceedings of the workshop "Rotation of Celestial Bodies", Namur (Belgium), 1-2 December 2005

[14] Celletti A., Chierchia L., "Quasi-periodic attractors and spin/orbit resonances", in "Symmetry and Perturbation Theory", G. Gaeta, R. Vitolo, S. Walcher eds., World Scientific (2007)

[15] Celletti A., Di Ruzza S., "Resonances in the solar system", Proceedings of the 2nd Conference on Cultural Astronomy, 2010

[16] Celletti A., "KAM theory and its applications: from conservative to dissipative systems", Proceedings of the 6th European Congress of Mathematics, EMS Publishing House, ISBN 978-3-03719-120-0 (2014)

 


Books:

Technical books:

[1] Celletti A., "Esercizi di Meccanica Razionale", Aracne editrice, Febbraio 1999, Seconda Edizione: Marzo 2003

[2] Celletti A., "Dinamica del Sistema Solare", Scuola IAD Tor Vergata, 2007

[3] Celletti A., "Programmare per calcolare: dall'algebra all'astronomia", Scuola IAD Tor Vergata, 2007

[4] Celletti A., "Stability and Chaos in Celestial Mechanics", Springer-Praxis 2010, XVI, 264 p., Hardcover ISBN: 978-3-540-85145-5

Popular books:


[1] Celletti A., Perozzi L., "Meccanica Celeste", Casa editrice CUEN, Napoli, 1996

[2] Celletti A., Perozzi E., "Celestial Mechanics: The Waltz of the Planets", Springer-Praxis, January 2007; traduzione italiana: "Meccanica Celeste: ordine e caos nel sistema solare", UTET 2007

[3] Celletti A., Perozzi E., "Pianeti per caso", UTET 2012

 


Edited books, proceedings, issues:


[1] Atti del "Primo Convegno Nazionale di Meccanica Celeste", L'Aquila, 23-26 Maggio 1993, Celletti A., Perozzi E., eds.

[2] Celletti A., Milani A., Perozzi E., editors, "Special Issue: Second Italian Meeting on Celestial Mechanics", Planetary and Space Science, 46 (11-12), November 1998

[3] Celletti A., Ferraz-Mello S., Henrard J., editori, "Modern Celestial Mechanics: from theory to applications", Proceedings of the "Third Meeting on Celestial Mechanics - CELMEC III" Roma, 18 - 22 June 2001, Kluwer Academic publ., 2003

[4] Celletti A., Ferraz-Mello S., editori, " Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications", Proceedings of the "Fourth Meeting on Celestial Mechanics - CELMEC IV" San Martino al Cimino (Viterbo), 11 - 16 September 2005, Springer-Verlag (2007)

[5] Celletti A., Ferraz-Mello S., eds., "Spin-Orbit Dynamics", Celestial Mechanics and Dynamical Astronomy, special issue, vol. 101, n. 1-2 (2008)

[6] Celletti A., Lega E., Ferraz-Mello S., eds., "Theory and Applications of Dynamical Systems", Celestial Mechanics and Dynamical Astronomy, special issue, vol. 102, n. 1-3 (2008)

[7] Celletti A., Giorgilli A., Perozzi E., Ferraz-Mello S., editori, "Special issue of CMDA: Cosmic Visions in Celestial Mechanics", June 2010, DOI: 10.1007/s10569-010-9287-1

[8] Celletti A., Locatelli U., Ruggeri T., Strickland E., "Mathematical models and methods for Planet Earth", Springer INdAM Series n. 6, Springer International Publishing, Switzerland (2014)

[9] Celletti A., "Celestial Mechanics", EOLSS-UNESCO publ., ISBN 978-1-78021-519-8 (2015)

 


Popular papers:


[1] Celletti A., Perozzi E., Il ritorno del caos, L'Astronomia, Ottobre 1991

[2] Celletti A., Perozzi E., Dobbiamo dire grazie alla Luna, La Stampa, 26 Maggio 1993

[3] Celletti A., Assonanze cosmiche, L'Astronomia, Agosto-Settembre 1995

[4] Celletti A., Il minuetto dei pianeti, L'Astronomia, Aprile 2000

[5] Celletti A., Esistera' per sempre il Sistema Solare?, Le Stelle, Novembre 2004

[6] Celletti A., La disordinata regolarita' dei moti celesti, Coelum, Marzo 2007

[7] Celletti A., Il buio oltre Nettuno, Le Stelle, Dicembre 2007

[8] Celletti A., The dark side of Mercury, Maddmaths! Marzo 2010

[9] Celletti A., "Da Keplero alle missioni spaziali", Maddmaths! July 2013 (http://maddmaths.simai.eu/divulgazione/da-keplero-alle-missioni-spaziali/)


Blogs:

[1] Celletti A., Strickland E., "Mathematical models and methods for Planet Earth" at http://mpe2013.org/2013/05/25/6553/ - 25 May 2013

[2] Celletti A., "KAM Theory and Celestial Mechanics" at http://mpe2013.org/2013/06/24/kam-theory-and-celestial-mechanics/ - 24 June 2013