List of publications by Alessandra Celletti
To receive a Reprint or Preprint, just send an e-mail to
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)
[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)
[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)
[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)
[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)
[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)
[44] Celletti A., Falcolini C., Singularities of periodic orbits near invariant curves, Physica D, Vol. 170, n. 2, pp. 87-102 (2002)
[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)
[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)
[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)
[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)
[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)
[54] Celletti A., Chierchia L., KAM Stability and Celestial Mechanics, Memoirs of the American Mathematical Society, vol. 187, n. 878 (2007)
[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)
[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)
[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)
[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)
[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)
[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)
[70] Celletti A., Lhotka C., "A Dynamical System Approach to Astrodynamics", Acta Futura, vol. 4, 53-68 (2011)
[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)
[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)
[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)
[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)
[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)
[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)
[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 Societa' e nella Cultura - Rivista 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)
[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)
[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)
[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,
[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)
[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
[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)
[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)
[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).
[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)
[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)
[97] Celletti A., Efthymiopoulos C., Gachet F., Gales C., Pucacco G., "Dynamical models and the onset of chaos in space debris", Int. J. Nonlinear Mechanics, DOI: 10.1016/j.ijnonlinmec.2016.12.015, vol. 90, 47-163 (2017)
[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)
[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)
[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 and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems", Nonlinearity, vol. 30, 3151-3202 (2017)
[102] Celletti A., Gales C., "Dynamics of resonances and equilibria of Low Earth Objects", SIAM J. Appl. Dyn. Syst., vol. 17, 203-235 (2018)
[103] Celletti A., Paita F., Pucacco G., "The dynamics of the de Sitter resonance", Celestial Mechanics and Dynamical Astronomy, vol. 130:15 (2018)
[104] Paita F., Celletti A., Pucacco G., "Element history of the Laplace resonance: a dynamical approach", Astronomy and Astrophysics, vol. 617, A35 (2018)
[105] Celletti A., Paita F., Pucacco G., "The dynamics of Laplace-like resonances", Chaos 29, 033111 (2019)
[106] Gkolias I., Efthymiopoulos C., Celletti A., Pucacco G., "Accurate modelling of the low-order secondary resonances in the spin-orbit problem", Communications in Nonlinear Science and Numerical Simulation, vol. 77, 181-202 (2019)
[107] Calleja R., Celletti A., de la Llave R., "Existence of whiskered KAM tori of conformally symplectic systems", Nonlinearity, vol. 33, n. 1, pp. 538-597 (2020)
[108] Celletti A., Gales C., Lhotka C., "Resonances in the Earth's space environment", Comm. Nonlinear Sciences and Numerical Simulations, vol. 84, 105185 (2020)
[109] 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, vol. 30, 2925-2970 (2020)
[110] Calleja R., Celletti A., de la Llave R., "Whiskered KAM Tori of Conformally Symplectic Systems", Mathematics Research Reports, vol. 1, pp. 15-29 (2020)
[111] Celletti A.,
"The Laplace resonance: between theory and space missions",
Rendiconti del Seminario Matematico di Torino, vol. 78, n. 2, 63-76 (2020)
[112] De Blasi I., Celletti A., Efthymiopoulos C.,
"Semi-analytical estimates for the orbital stability of Earth's satellite", J. Nonlinear Science,
vol. 31, n. 93 (2021)
[113] Celletti A., Karampotsoiu E., Lhotka C., Pucacco G., Volpi M., "Laplace-like resonances with tidal effects", Astronomy and Astrophysics, Vol. 655, A94 (2021)
[114] Celletti A., Pucacco G., Vartolomei T., "Reconnecting groups of space debris to their parent body through proper elements", Nature Scientific Reports, Vol. 11, 22676 (2021)
[115] Calleja R. Celletti A., Gimeno J., de la Llave R., "Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction", Journal of Nonlinear Science, Vol. 32, 4 (2022)
[116] Calleja R., Celletti A., de la Llave R., "KAM quasi-periodic solutions for the dissipative standard map", Communications in Nonlinear Science and Numerical Simulation, Vol. 106, 106111 (2022)
[117] Calleja R. Celletti A., Gimeno J., de la Llave R., "KAM quasi-periodic tori for the dissipative spin-orbit problem", Communications in Nonlinear Science and Numerical Simulation, Vol. 106, 106099 (2022)
[118] Celletti A., Gales C., Rodriguez V. Vasile M., "Classification of Regular and Chaotic Motions in Hamiltonian systems with Deep Learning", Nature Scientific Reports 12, Article number: 1890 (2022)
[119] Celletti A., Pucacco G., Vartolomei T., "Proper elements for space debris", Celest. Mech. Dyn. Astr. 134, 11 (2022)
[120] Celletti A., Karampotsoiu E., Lhotka C., Pucacco G., Volpi M., "The role of the tidal forces in the long-term evolution of the Galilean system", Regular and Chaotic Dynamics, issue 4 (2022)
[121] Celletti A., Gimeno J., Misquero M., "The spin-spin problem in Celestial Mechanics", J. Nonlinear Science, vol. 32, Article n. 88, (2022)
[122] Celletti A., Vartolomei T., "Old perturbative methods for a new problem in Celestial Mechanics: the space debris dynamics", Bollettino Unione Matematica Italiana, vol. 16, n. 2, 411-428 (2023)
[123] Celletti A., De Blasi I., Efthymiopoulos C., "Nekhoroshev estimates for the orbital stability of Earth's satellites", Celest. Mech. Dyn. Astr., vol. 135, 10 (2023)
[124] Celletti A.,
"Dalle leggi di Keplero alla materia oscura attraverso la storia
di donne scienziate", "La Matematica nella Societa'
e nella Cultura- Rivista UMI", vol. 8, n. 1, 5-16 (2023)
(preprint on arXiv)
[125] Bustamante A., Celletti A., Lhotka C.,
"Breakdown of tori in low and high dimensional
conservative and dissipative standard maps", Physica D, vol. 453, 133790 (2023)
[126] Celletti A., Dogkas A., Vartolomei T.,
"Dynamics of highly eccentric and highly inclined space debris", CNSNS, vol. 127,
107556 (2023)
[127] Celletti A., "From infinite to finite time stability in Celestial Mechanics and Astrodynamics",
Astrophysics and Space Science, vol. 368, 106 (2023)
[128] Calleja R. Celletti A., Gimeno J., de la Llave R.,
"Accurate computations up to break-down of quasi-periodic attractors in
the dissipative spin-orbit problem", J. Nonlinear Science, vol. 34, 12 (2024)
[129] Apetrii M., Celletti A., Efthymiopoulos C., Gales C., Vartolomei T.,
"Simulating a breakup event and propagating the orbits of space debris", Celest Mech Dyn Astron 136, 35 (2024)
[130] Celletti A.,
"Suoni, colori e parole delle formule matematiche", accepted in La Matematica nella Societa' e nella Cultura - Rivista UMI (2024)
[131] Celletti A.,
"From perturbative methods to machine learning techniques in space science", Bollettino UMI Published: 23 July 2024 (2024)
[132] Celletti A., Lhotka C., Pucacco G.,
"The dynamics around the collinear points of the elliptic
three-body problem: a normal form approach", Physica D, vol. 468, 134302 (2024)
[133] Bustamante A., Celletti A., Lhotka C., "The dynamics of the spin-spin problem in Celestial Mechanics", CNSNS, Vol. 142, 108548 (2025)
(article)
Preprints: [1] Celletti A.,
"Manifold dynamics, trajectory design, and control aspects", Preprint (2024)
[2] Celletti A., De Blasi I., Di Ruzza S.,
"Perturbative methods and synchronous resonances in Celestial Mechanics", Preprint (2024)
Book's
chapters and Encyclopaedia's items: [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. Françoise, 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)
[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)
[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)
[15] Calleja R., Celletti A., de la Llave R.,
"KAM theory for dissipative systems",
in "New Frontiers of Celestial Mechanics: Theory and Applications",
G. Ba\'u, S. Di Ruzza, R.I. Paez, T. Penati, M. Sansottera eds.,
Springer PROMS, vol. 399, p. 81-122 (2023)
[16] Celletti A., Gales C., "Resonant dynamics of space debris", in "New Frontiers of Celestial Mechanics: Theory and Applications", G. Ba\'u, S. Di Ruzza, R.I. Paez, T. Penati, M. Sansottera eds., Springer PROMS, vol. 399, p. 239-267 (2023)
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)
[17] Celletti A., Pucacco G., Vartolomei T.,
"Back-tracing space debris using proper elements", International Astronomical Union Proceedings
Series, IAU Symposium 364 (2022)
[18] Celletti A., Karampotsoiu E., Lhotka C.,
Pucacco G., Volpi M., "Evolution and stability of Laplace-like resonances under tidal dissipation",
International Astronomical Union Proceedings
Series, IAU Symposium 364 (2022)
[19] Celletti A.,
"Il ruolo di Sole e Luna sulle orbite della Terra e attorno alla Terra",
Atti della XXXVIII giornata dell'ambiente dell'Accademia Nazionale dei Lincei (2022)
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
[4] Celletti A.,
"La Meccanica Celeste", RCS - Corriere della Sera 2019
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., eds., "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)
[10] Bau'ù G., Celletti A., Gales C., Gronchi G.F., eds., "Satellite Dynamics and Space Missions", Springer INDAM Series n. 34 (2019)
[11] Beauge' C., Celletti A., Gales C., Lemaitre A.,
"Multi-scale (Time and Mass) Dynamics of Space Objects",
Proc. of the International Astronomical Union, Cambridge University Press, Vol. 15, issue 364 (2022)
Popular papers: [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/)
[10] Celletti A., Kanas S.,
"Underrepresentation of Women in Editorial Boards of Scientific and EMS
Journals", issue 118, December 2020
[11] Celletti A.,
"La meccanica classica, e il moto di pianeti e satelliti", accepted in Nuova Lettera Matematica (2024)
[1] Celletti A., Perozzi E., Il ritorno del
caos, L'Astronomia, Ottobre 1991