A. Albouy, Lectures on the Two-Body Problem, 2002.

H. Andoyer, Cours De Mécanique Céleste, Gauthier-Villars et cie, pp.1923-1949, 1923.

V. I. Arnold, Mathematical Methods of Classical Mechanics, 1979.

V. Arnold, Small Denominators and Problems of Stability of Motion in Classical and Celestial Mechanics, Russian Mathematical Surveys, vol.18, pp.85-191, 1963.

R. Barnes and R. Greenberg, Stability Limits in Extrasolar Planetary Systems, The Astrophysical Journal Letters, vol.647, pp.163-166, 2006.

R. Barnes and S. N. Raymond, Predicting Planets in Known Extrasolar Planetary Systems. I. Test Particle Simulations, The Astrophysical Journal, issue.1, pp.569-574, 2004.

K. Batygin and A. Morbidelli, Analytical Treatment of Planetary Resonances, Astronomy & Astrophysics, vol.556, pp.28-28, 2013.

K. Batygin and G. Laughlin, On the Dynamical Stability of the Solar System, The Astrophysical Journal, vol.683, issue.2, pp.1207-1216, 2008.

K. Batygin, A. Morbidelli, and M. J. Holman, Chaotic Disintegration of the Inner Solar System, The Astrophysical Journal, vol.799, issue.2, pp.120-120, 2015.

K. Batygin, P. H. Bodenheimer, and G. P. Laughlin, Situ Formation and Dynamical Evolution of Hot Jupiter Systems, vol.829, p.114, 2016.

W. Benz, Low Velocity Collisions and the Growth of Planetesimals, Space Science Reviews, vol.92, issue.1, pp.279-294, 2000.

B. Bitsch, Formation of Planetary Systems by Pebble Accretion and Migration: Growth of Gas Giants, New Families of Symplectic Splitting Methods for Numerical Integration in Dynamical Astronomy, vol.68, pp.58-72, 2013.
URL : https://hal.archives-ouvertes.fr/hal-02051780

S. Blanes and A. Iserles, Explicit Adaptive Symplectic Integrators for Solving Hamiltonian Systems, Celestial Mechanics and Dynamical Astronomy, vol.114, issue.3, pp.297-317, 2012.

J. Bode, Anleitung Zur Kentniss Des Gestirnten Himmels, 1772.

G. Boué, J. Laskar, and F. Farago, A Simple Model of the Chaotic Eccentricity of Mercury, Astronomy & Astrophysics, vol.548, pp.43-43, 2012.

D. Brouwer, On the Accumulation of Errors in Numerical Integration, The Astronomical Journal, vol.46, p.149, 1937.

J. Chambers, Making More Terrestrial Planets, Icarus, vol.152, issue.2, pp.205-224, 2001.

J. E. Chambers, A Hybrid Symplectic Integrator That Permits Close Encounters between Massive Bodies, Monthly Notices of the Royal Astronomical Society, vol.304, pp.793-799, 1999.

J. Chambers, Late-Stage Planetary Accretion Including Hit-and-Run Collisions and Fragmentation, Icarus, vol.224, issue.1, pp.43-56, 2013.

J. Chambers, G. Wetherill, and A. Boss, The Stability of Multi-Planet Systems, Icarus, vol.119, issue.2, pp.261-268, 1996.

E. Chiang and A. Youdin, Forming Planetesimals in Solar and Extrasolar Nebulae, Annual Review of Earth and Planetary Sciences, vol.38, issue.1, pp.493-522, 2010.

B. V. Chirikov, A Universal Instability of Many-Dimensional Oscillator Systems, Physics Reports, vol.52, issue.5, pp.263-379, 1979.

A. Cumming, G. W. Marcy, and R. P. Butler, The Lick Planet Search: Detectability and Mass Thresholds, vol.526, p.890, 1999.

A. Cumming, The Keck Planet Search: Detectability and the Minimum Mass and Orbital Period Distribution of Extrasolar Planets. Publications of the Astronomical Society of the Pacific, vol.120, p.531, 2008.

R. I. Dawson and D. C. Fabrycky, Radial Velocity Planets De-Aliased: A New, Short Period for Super-Earth 55 Cnc e, The Astrophysical Journal, vol.722, issue.1, pp.937-953, 2010.

R. I. Dawson and J. A. Johnson, Origins of Hot Jupiters, Annual Review of Astronomy and Astrophysics, vol.56, issue.1, pp.175-221, 2018.

K. M. Deck, M. Payne, and M. J. Holman, First Order Resonance Overlap and the Stability of Close Two Planet Systems, The Astrophysical Journal, vol.774, issue.2, pp.129-129, 2013.

C. Delaunay, Théorie Du Mouvement De La Lune, Mémoires de l'Académie des Sciences, vol.28, 1860.

J. Delisle, Dissipation in Planar Resonant Planetary Systems, Astronomy & Astrophysics, vol.546, pp.71-71, 2012.
URL : https://hal.archives-ouvertes.fr/hal-02873296

J. Delisle, J. Laskar, and A. C. Correia, Resonance Breaking Due to Dissipation in Planar Planetary Systems, Astronomy & Astrophysics, vol.566, pp.137-137, 2014.
URL : https://hal.archives-ouvertes.fr/hal-02555235

A. Deprit, Canonical Transformations Depending on a Small Parameter. Celestial mechanics, 1.1, pp.12-30, 1969.

M. Duncan, T. Quinn, and S. Tremaine, The Long-Term Evolution of Orbits in the Solar System: A Mapping Approach, Icarus, vol.82, issue.2, pp.402-418, 1989.

M. J. Duncan, H. F. Levison, and M. H. Lee, A Multiple Time Step Symplectic Algorithm for Integrating Close Encounters, The Astronomical Journal, vol.116, pp.2067-2077, 1998.

A. Eggenberger, Probing the Impact of Stellar Duplicity on the Frequency of Giant Planets: Final Results of Our Vlt/Naco Survey, Proceedings of the International Astronomical Union, 6.S276, pp.409-410, 2010.

D. C. Fabrycky, Architecture of Kepler's Multi-Transiting Systems. II. New Investigations with Twice as Many Candidates, The Astrophysical Journal, issue.2, pp.146-146, 2014.

J. Fang and J. Margot, Architecture of Planetary Systems Based on Kepler Data: Number of Planets and Coplanarity, The Astrophysical Journal, issue.2, pp.92-92, 2012.

J. Fang and J. Margot, Are Planetary Systems Filled to Capacity? A Study Based on Kepler Results, The Astrophysical Journal, issue.2, pp.115-115, 2013.

A. Farrés, High Precision Symplectic Integrators for the Solar System, Celestial Mechanics and Dynamical Astronomy, vol.116, issue.2, pp.141-174, 2013.

S. Ferraz-mello, Canonical Perturbation Theories, Astrophysics and Space Science Library, vol.345, 2007.

P. Figueira, Comparing HARPS and Kepler Surveys, Astronomy & Astrophysics, vol.541, pp.139-139, 2012.

F. Fressin, The False Positive Rate of Kepler and the Occurrence of Planets, The Astrophysical Journal, vol.766, issue.2, p.81, 2013.

N. Georgakarakos, Stability Criteria for Hierarchical Triple Systems, Celestial Mechanics and Dynamical Astronomy, vol.100, issue.2, pp.151-168, 2008.

A. Giorgilli, Effective Stability for a Hamiltonian System Near an Elliptic Equilibrium Point, with an Application to the Restricted Three Body Problem, Journal of differential equations, vol.77, issue.1, pp.167-198, 1989.

A. Giorgilli, U. Locatelli, and M. Sansottera, Secular Dynamics of a Planar Model of the Sun-Jupiter-Saturn-Uranus System; Effective Stability in the Light of Kolmogorov and Nekhoroshev Theories. Regular and Chaotic Dynamics, vol.22, pp.54-77, 2017.

B. Gladman, Dynamics of Systems of Two Close Planets, Icarus, vol.106, issue.1, pp.247-263, 1993.

B. Gladman, M. Duncan, and J. Candy, Symplectic Integrators for Long-Term Integrations in Celestial Mechanics, Celestial Mechanics and Dynamical Astronomy, vol.52, pp.221-240, 1991.

P. Goldreich and S. Tremaine, The Excitation of Density Waves at the Lindblad and Corotation Resonances by an External Potential, The Astrophysical Journal, vol.233, p.857, 1979.

H. Goldstein, Classical Mechanics. Mass, 1950.

F. Graner and B. Dubrulle, Titius-Bode Laws in the Solar System. 1: Scale Invariance Explains Everything, Astronomy and Astrophysics, vol.282, pp.262-268, 1994.

R. Greenberg, Planetesimals to Planets: Numerical Simulation of Collisional Evolution, Icarus, vol.35, issue.1, p.1, 1978.

S. L. Grimm, The Nature of the Trappist-1 Exoplanets, Astronomy & Astrophysics, p.68, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01701918

S. Hadden and Y. Lithwick, A Criterion for the Onset of Chaos in Systems of Two Eccentric Planets, 2018.

B. Hansen, Formation of the Terrestrial Planets from a Narrow Annulus, The Astrophysical Journal, vol.703, issue.1, pp.1131-1140, 2009.

L. Hartmann, Accretion and the Evolution of T Tauri Disks, The Astrophysical Journal, vol.495, issue.1, pp.385-400, 1998.

M. Hénon and J. Petit, Series Expansions for Encounter-Type Solutions of Hill's Problem. Celestial Mechanics, vol.38, pp.67-100, 1986.

J. Henrard and A. Lemaitre, A Second Fundamental Model for Resonance. Celestial Mechanics, 30, pp.197-218, 1983.

J. Henrard, The Reducing Transformation and Apocentric Librators, Celestial Mechanics, vol.38, pp.335-344, 1986.

C. Hernández-mena and L. Benet, Statistics and Universality in Simplified Models of Planetary Formation, Monthly Notices of the Royal Astronomical Society, issue.1, pp.95-106, 2011.

G. W. Hill, Motion of a System of Material Points Under the Action of Gravitation, The Astronomical Journal, vol.27, pp.171-182, 1913.

M. J. Holman and N. W. Murray, The Use of Transit Timing to Detect Terrestrial-Mass Extrasolar Planets, Science, vol.307, pp.1288-1291, 2005.

A. Izidoro, Formation of Planetary Systems by Pebble Accretion and Migration: Hot Super-Earth Systems from Breaking Compact Resonant Chains, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02051777

A. Johansen and M. Lambrechts, Forming Planets via Pebble Accretion. Annual Review of Earth and Planetary Sciences, vol.45, pp.359-387, 2017.

A. Johansen, Rapid Planetesimal Formation in Turbulent Circumstellar Disks, Nature, pp.1022-1025, 2007.

A. Johansen, Can Planetary Instability Explain the Kepler Dichotomy?, The Astrophysical Journal, vol.758, issue.1, p.39, 2012.

D. Jontof-hutter, The Mass of the Mars-Sized Exoplanet Kepler-138 B from Transit Timing, Nature, vol.522, pp.321-323, 2015.

M. Juri? and S. Tremaine, Dynamical Origin of Extrasolar Planet Eccentricity Distribution, The Astrophysical Journal, vol.686, issue.1, pp.603-620, 2008.

W. Kahan, Pracniques: Further Remarks on Reducing Truncation Errors, Commun. ACM , 8.1, p.40, 1965.

J. Kepler, Mysterium Cosmographicum, 1596.

J. Kepler, Astronomia Nova, 1609.

J. Kepler, , 1619.

H. Kinoshita, H. Yoshida, and H. Nakai, Symplectic Integrators and Their Application to Dynamical Astronomy, Celestial Mechanics and Dynamical Astronomy, vol.50, issue.1, pp.59-71, 1991.

E. Kokubo and H. Genda, Formation of Terrestrial Planets from Protoplanets Under a Realistic Accretion Condition, The Astrophysical Journal, vol.714, issue.1, pp.21-25, 2010.

E. Kokubo, J. Kominami, and S. Ida, Formation of Terrestrial Planets from Protoplanets. I. Statistics of Basic Dynamical Properties, The Astrophysical Journal, vol.642, issue.2, pp.1131-1139, 2006.

A. N. Kolmogorov, On Conservation of Conditionally Periodic Motions for a Small Change in Hamilton's Function, Dokl. Akad. Nauk SSSR, vol.98, pp.527-530, 1954.

R. K. Kopparapu, A Revised Estimate of the Occurrence Rate of Terrestrial Planets in the Habitable Zones around Kepler M-Dwarfs, The Astrophysical Journal, vol.767, issue.1, p.8, 2013.

P. V. Koseleff, Relations among Lie Formal Series and Construction of Symplectic Integrators, Lecture Notes in Computer Science, pp.213-230, 1993.

A. Lagrange, A Probable Giant Planet Imaged in the ? Pictoris Disk -VLT/NACO Deep L'-Band Imaging, Astronomy & Astrophysics, vol.493, issue.2, pp.21-25, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00479881

M. Lambrechts and A. Johansen, Rapid Growth of Gas-Giant Cores by Pebble Accretion, Astronomy & Astrophysics, vol.544, p.32, 2012.

M. Lambrechts, Formation of Planetary Systems by Pebble Accretion and Migration: How the Radial Pebble Flux Determines a Terrestrial-Planet or Super-Earth Growth Mode, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02051784

P. Laplace, Exposition Du Systeme Du Monde, 1796.

J. Laskar, A Numerical Experiment on the Chaotic Behaviour of the Solar System, Nature, vol.338, p.237, 1989.

J. Laskar, Manipulation Des Séries, Les Méthodes Modernes de La Mécanique Céleste. Modern Methods in Celestial Mechanics, pp.89-107, 1990.

J. Laskar, The Chaotic Motion of the Solar System: A Numerical Estimate of the Size of the Chaotic Zones, Icarus, vol.88, issue.2, pp.266-291, 1990.

J. Laskar, Analytical Framework in Poincare Variables for the Motion of the Solar System, Predictability, Stability, and Chaos in N-Body Dynamical Systems SE -7, vol.272, pp.93-114, 1991.

J. Laskar, Frequency Analysis for Multi-Dimensional Systems. Global Dynamics and Diffusion, Physica D Nonlinear Phenomena, vol.67, pp.257-281, 1993.

J. Laskar, Large-Scale Chaos in the Solar System, Astronomy and Astrophysics, vol.287, pp.9-12, 1994.

J. Laskar, Large Scale Chaos and the Spacing of the Inner Planets, Astronomy and Astrophysics, vol.317, pp.75-78, 1997.

J. Laskar, On the Spacing of Planetary Systems, Physical Review Letters, vol.84, pp.3240-3243, 2000.

J. Laskar, Chaotic Diffusion in the Solar System, Icarus, issue.1, pp.1-15, 0196.
URL : https://hal.archives-ouvertes.fr/hal-00258631

J. Laskar and M. Gastineau, Existence of Collisional Trajectories of Mercury, Mars and Venus with the Earth, Nature, pp.817-819, 2009.

J. Laskar, Strong Chaos Induced by Close Encounters with Ceres and Vesta, Astronomy and Astrophysics, vol.532, p.4, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00620783

J. Laskar, Large Scale Chaos and Marginal Stability in the Solar System, Celestial Mechanics and Dynamical Astronomy, vol.64, issue.1-2, p.115, 1996.

J. Laskar, Is the Solar System Stable?, Progress in Mathematical Physics, pp.239-270, 2010.

J. Laskar, Andoyer Construction for Hill and Delaunay Variables, Celestial Mechanics and Dynamical Astronomy, vol.128, pp.475-482, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01494889

J. Laskar and C. Marchal, Triple Close Approach in the Three-Body Problem -a Limit for the Bounded Orbits, Celestial Mechanics, vol.32, issue.1, p.15, 1984.

J. Laskar and A. C. Petit, AMD-Stability and the Classification of Planetary Systems, Astronomy & Astrophysics, vol.605, pp.72-72, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02178940

J. Laskar and P. Robutel, Stability of the Planetary Three-Body Problem, Celestial Mechanics & Dynamical Astronomy, vol.62, issue.3, pp.193-217, 1995.
URL : https://hal.archives-ouvertes.fr/hal-02884544

J. Laskar and P. Robutel, High Order Symplectic Integrators for Perturbed Hamiltonian Systems, Celestial Mechanics and Dynamical Astronomy, vol.80, issue.1, pp.39-62, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00618038

E. L. Lehmann and J. P. Romano, Testing Statistical Hypotheses, 2006.

D. N. Lin and J. Papaloizou, On the Tidal Interaction Between Protoplanets and the Protoplanetary Disk. Iii. Orbital Migration of Protoplanets, The Astrophysical Journal, vol.309, p.846, 1986.

J. J. Lissauer, Architecture and Dynamics of Kepler 's Candidate Multiple Transiting Planet Systems, The Astrophysical Journal Supplement Series, issue.1, pp.8-8, 0197.

J. J. Lissauer, All Six Planets Known to Orbit Kepler-11 Have Low Densities, The Astrophysical Journal, vol.770, issue.2, p.131, 2013.

C. Lovis, The HARPS Search for Southern Extra-Solar Planets. XXVII. up to Seven Planets Orbiting Hd 10180: Probing the Architecture of Low-Mass Planetary Systems, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00129135

C. Marchal and G. Bozis, Hill Stability and Distance Curves for the General Three-Body Problem, Celestial Mechanics, vol.26, issue.3, pp.311-333, 1982.

C. Marchal and D. G. Saari, Hill Regions for the General Three-Body Problem, Celestial Mechanics, vol.12, issue.2, pp.115-129, 1975.

C. Marchal, J. Yoshida, and S. Yi-sui, A Test of Escape Valid Even for Very Small Mutual Distances I. the Acceleration and the Escape Velocities of the Third Body, Celestial Mechanics, vol.33, issue.3, pp.193-207, 1984.

C. Marchal, J. Yoshida, and S. Yi-sui, Three-Body Problem, Celestial Mechanics, pp.65-93, 1984.

G. W. Marcy, Masses, Radii, and Orbits of Small Kepler Planets: The Transition from Gaseous to Rocky Planets, The Astrophysical Journal Supplement Series, vol.210, issue.2, p.20, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01442005

C. Marois, Images of a Fourth Planet Orbiting HR 8799, Nature, pp.1080-1083, 2010.

F. Masset and M. Snellgrove, Reversing Type II Migration: Resonance Trapping of a Lighter Giant Protoplanet, Monthly Notices of the Royal Astronomical Society, vol.320, pp.55-59, 2001.

M. Mayor, The HARPS Search for Southern Extra-Solar Planets XXXIV. Occurrence, Mass Distribution and Orbital Properties of Super-Earths and Neptune, Nature, vol.378, pp.355-359, 1995.
URL : https://hal.archives-ouvertes.fr/hal-01434425

R. Mclachlan, On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods, SIAM Journal on Scientific Computing, vol.16, issue.1, pp.151-168, 1995.

R. I. Mclachlan, Composition Methods in the Presence of Small Parameters, BIT Numerical Mathematics, vol.35, issue.2, pp.258-268, 1995.

T. A. Michtchenko, C. Beaugé, and S. Ferraz-mello, Dynamic Portrait of the Planetary 2/1 Mean-Motion Resonance -I. Systems with a More Massive Outer Planet, Monthly Notices of the Royal Astronomical Society, issue.2, pp.747-758, 2008.

S. Mikkola, A Brief History of Regularisation, Dynamical Evolution of Dense Stellar Systems, vol.246, pp.218-227, 2008.

S. Mikkola, Practical Symplectic Methods with Time Transformation for the Few-Body Problem, Celestial Mechanics and Dynamical Astronomy, vol.67, issue.2, pp.145-165, 1997.

S. Mikkola and K. Innanen, Symplectic Tangent Map for Planetary Motions, Celestial Mechanics and Dynamical Astronomy, vol.74, issue.1, pp.59-67, 1999.

S. Mikkola and K. Tanikawa, Explicit Symplectic Algorithms for Time-Transformed Hamiltonians, Celestial Mechanics and Dynamical Astronomy, vol.74, pp.287-295, 1999.

F. Mogavero, Addressing the Statistical Mechanics of Planet Orbits in the Solar System, Astronomy and Astrophysics, vol.606, p.79, 2017.

A. V. Moorhead, The Distribution of Transit Durations for Kepler Planet Candidates and Implications for Their Orbital Eccentricities, The Astrophysical Journal Supplement Series, issue.1, pp.1-1, 0197.

A. Morbidelli, Building Terrestrial Planets. Annual Review of Earth and Planetary Sciences, vol.40, pp.251-275, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00681650

A. Morbidelli, The Great Dichotomy of the Solar System: Small Terrestrial Embryos and Massive Giant Planet Cores, Icarus, vol.258, pp.418-429, 2015.

A. Morbidelli, Fossilized Condensation Lines in the Solar System Protoplanetary Disk, Icarus, vol.267, pp.368-376, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01281744

A. Morbidelli, Modern Celestial Mechanics: Aspects of Solar System Dynamics, 2002.

A. Morbidelli and A. Giorgilli, Superexponential Stability of KAM Tori, Journal of Statistical Physics, vol.78, pp.1607-1617, 1995.

A. Morbidelli and S. N. Raymond, Challenges in Planet Formation, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01387890

J. Möser, On Invariant Curves of Area-Preserving Mappings of an Annulus, Nachr. Akad. Wiss. Göttingen, vol.II, pp.1-20, 1962.

C. D. Murray and S. F. Dermott, Solar System Dynamics, 1999.

A. J. Mustill and M. C. Wyatt, Dependence of a Planet's Chaotic Zone on Particle Eccentricity: The Shape of Debris Disc Inner Edges, Monthly Notices of the Royal Astronomical Society, pp.3074-3080, 2012.

A. J. Mustill, M. B. Davies, and A. Johansen, The Dynamical Evolution of Transiting Planetary Systems Including a Realistic Collision Prescription, Monthly Notices of the Royal Astronomical Society, vol.478, issue.3, pp.2896-2908, 2018.

N. N. Nekhoroshev, An Exponential Estimate of the Time of Stability of Nearly-Integrable Hamiltonian Systems. Uspekhi Matematicheskikh Nauk, vol.32, pp.5-66, 1977.

D. Nesvorný, KOI-142, the King of Transit Variations, Is a Pair of Planets Near the 2:1 Resonance, The Astrophysical Journal, vol.777, issue.1, p.3, 2013.

I. Newton, Philosophiae Naturalis Principia Mathematica, 1687.

M. M. Nieto, The Titius-Bode Law of Planetary Distances: Its History and Theory, 1972.

A. Obertas, C. Van-laerhoven, and D. Tamayo, The Stability of Tightly-Packed, Evenly-Spaced Systems of Earth-Mass Planets Orbiting a Sun-Like Star, Icarus, vol.293, pp.52-58, 2017.

D. P. O'brien, A. Morbidelli, and H. F. Levison, Terrestrial Planet Formation with Strong Dynamical Friction, Icarus, vol.184, issue.1, pp.39-58, 2006.

J. A. Orosz, Kepler-47: A Transiting Circumbinary Multiplanet System, Science, vol.337, pp.1511-1514, 2012.

J. A. Orosz, Discovery of a Third Transiting Planet in the Kepler-47 Circumbinary System, The Astronomical Journal, vol.157, issue.5, p.174, 2019.

S. Paardekooper and G. Mellema, Halting Type I Planet Migration in Non-Isothermal Disks, Astronomy & Astrophysics, vol.459, issue.1, pp.17-20, 2006.

J. C. Papaloizou and J. D. Larwood, On the Orbital Evolution and Growth of Protoplanets Embedded in a Gaseous Disc, Monthly Notices of the Royal Astronomical Society, vol.315, pp.823-833, 2000.

E. A. Petigura, A. W. Howard, and G. W. Marcy, Prevalence of Earth-Size Planets Orbiting Sun-Like Stars, Proceedings of the National Academy of Science, 110, vol.48, p.19273, 2013.

A. C. Petit, J. Laskar, and G. Boué, AMD-Stability in the Presence of First-Order Mean Motion Resonances, Astronomy and Astrophysics, vol.607, p.35, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02239675

A. C. Petit, J. Laskar, and G. Boué, Hill Stability in the AMD Framework, Astronomy & Astrophysics, p.93, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01955741

A. Pierens and R. P. Nelson, On the Formation and Migration of Giant Planets in Circumbinary Discs, Astronomy and Astrophysics, vol.483, issue.2, p.633, 2008.

H. Poincaré, Les Méthodes Nouvelles De La Mécanique Céleste, 1892.

H. Poincaré, Leçons De Mécanique Céleste, 1905.

J. B. Pollack, Formation of the Giant Planets by Concurrent Accretion of Solids and Gas, Icarus, vol.124, issue.1, pp.62-85, 1996.

M. Preto and S. Tremaine, A Class of Symplectic Integrators with Adaptive Time Step for Separable Hamiltonian Systems, The Astronomical Journal, vol.118, issue.5, p.2532, 1999.

B. Pu and D. Lai, Low-Eccentricity Formation of Ultra-Short Period Planets in Multi-Planet Systems, 2019.

B. Pu and Y. Wu, Spacing of Kepler Planets: Sculpting by Dynamical Instability, The Astrophysical Journal, vol.807, issue.1, pp.44-44, 2015.

A. C. Quillen, Three-Body Resonance Overlap in Closely Spaced Multiple-Planet Systems, Monthly Notices of the Royal Astronomical Society, issue.2, pp.1043-1054, 2011.

X. S. Ramos, J. A. Correa-otto, and C. Beaugé, The Resonance Overlap and Hill Stability Criteria Revisited, Celestial Mechanics and Dynamical Astronomy, vol.123, pp.453-479, 2015.

S. N. Raymond, Terrestrial Planet Formation at Home and Abroad, Protostars and Planets VI, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00950266

S. N. Raymond, T. Quinn, and J. I. Lunine, High-Resolution Simulations of the Final Assembly of Earth-Like Planets I. Terrestrial Accretion and Dynamics, Icarus, vol.183, issue.2, pp.265-282, 2006.

S. N. Raymond, R. Barnes, and A. M. Mandell, Observable Consequences of Planet Formation Models in Systems with Close-in Terrestrial Planets, Monthly Notices of the Royal Astronomical Society, vol.384, issue.2, pp.663-674, 2008.

H. Rein and S. Liu, REBOUND: An Open-Source Multi-Purpose N-Body Code for Collisional Dynamics, Astronomy and Astrophysics, vol.537, p.128, 2012.

H. Rein and D. S. Spiegel, IAS15: A Fast, Adaptive, High-Order Integrator for Gravitational Dynamics, Accurate to Machine Precision over a Billion Orbits, Monthly Notices of the Royal Astronomical Society, vol.446, issue.2, p.1424, 2015.

H. Rein and D. Tamayo, WHFAST: A Fast and Unbiased Implementation of a Symplectic Wisdom-Holman Integrator for Long-Term Gravitational Simulations, Monthly Notices of the Royal Astronomical Society, vol.452, issue.1, p.376, 2015.

H. Rein, Hybrid Symplectic Integrators for Planetary Dynamics, 2019.

V. S. Safronov, Evolution of the Protoplanetary Cloud and Formation of the Earth and the Planets, 1972.

J. Schneider, Defining and Cataloging Exoplanets: The Exoplanet, Eu Database. Astronomy & Astrophysics, vol.532, pp.79-79, 2011.

W. Sessin and S. Ferraz-mello, Motion of Two Planets with Periods Commensurable in the Ratio 2:1 Solutions of the Hori Auxiliary System, Celestial Mechanics, vol.32, pp.307-332, 1984.

M. Shabram, The Eccentricity Distribution of Short-Period Planet Candidates Detected by Kepler in Occultation, The Astrophysical Journal, vol.820, issue.2, pp.93-93, 2016.

N. I. Shakura and R. A. Sunyaev, Black Holes in Binary Systems. Observational Appearance, Astronomy and Astrophysics, vol.24, pp.337-355, 1973.

A. W. Smith and J. J. Lissauer, Orbital Stability of Systems of Closely-Spaced Planets, Icarus, issue.1, pp.381-394, 0201.

E. L. Stiefel and G. Scheifele, Linear and Regular Celestial Mechanics, 1971.

K. Stumpff, Himmelsmechanik, Band I. VEB Deutscher Verlag der Wissenschaften, 1962.

K. F. Sundman, Mémoire Sur Le Problème Des Trois Corps, Acta Mathematica, pp.105-179, 1912.

G. J. Sussman and J. Wisdom, Chaotic Evolution of the Solar System, Science, vol.257, pp.56-62, 1992.

D. Tamayo, A Machine Learns to Predict the Stability of Tightly Packed Planetary Systems, The Astrophysical Journal, vol.832, issue.2, pp.22-22, 2016.

D. Tamayo, Convergent Migration Renders TRAPPIST-1 Long-Lived, The Astrophysical Journal, vol.840, issue.2, p.19, 2017.

H. Tanaka and S. Ida, Growth of a Migrating Protoplanet, Icarus, vol.139, issue.2, pp.350-366, 1999.

C. Terquem and J. C. Papaloizou, Migration and the Formation of Systems of Hot Super-Earths and Neptunes, The Astrophysical Journal, vol.654, issue.2, pp.1110-1120, 2007.

J. Titius, Betrachtung Über Die Natur, Vom Herrn Karl Bonnet, Johann Friedrich Junius, 1766.

S. Tremaine, The Statistical Mechanics Of Planet Orbits, The Astrophysical Journal, vol.807, issue.2, pp.157-157, 2015.

D. Veras and P. J. Armitage, The Dynamics of Two Massive Planets on Inclined Orbits, Icarus, issue.2, pp.349-371, 2004.

W. R. Ward, Density Waves in the Solar Nebula: Diffential Lindblad Torque, Icarus, vol.67, issue.1, pp.164-180, 1986.

W. R. Ward, Survival of Planetary Systems, The Astrophysical Journal, vol.482, issue.2, pp.211-214, 1997.

S. J. Weidenschilling, The Distribution of Mass in the Planetary System and Solar Nebula, Astrophysics and Space Science, vol.51, issue.1, pp.153-158, 1977.

J. N. Winn and D. C. Fabrycky, The Occurrence and Architecture of Exoplanetary Systems, Annual Review of Astronomy and Astrophysics, vol.53, p.409, 2015.

J. Wisdom, The Resonance Overlap Criterion and the Onset of Stochastic Behavior in the Restricted Three-Body Problem, The Astronomical Journal, vol.85, pp.1122-1122, 1980.

J. Wisdom, Symplectic Correctors for Canonical Heliocentric N-Body Maps, The Astronomical Journal, vol.131, p.2294, 2006.

J. Wisdom, M. Holman, and J. Touma, Symplectic Correctors. Fields Institute Communications, vol.10, p.217, 1996.

J. Wisdom, Canonical Solution of the Two Critical Argument Problem, Celestial Mechanics, vol.38, issue.2, pp.175-180, 1986.

J. Wisdom and M. Holman, Symplectic Maps for the N-Body Problem, The Astronomical Journal, vol.102, p.1528, 1991.

É. Woillez, Stochastic Description of Rare Events for Complex Dynamics in the Solar System, 2018.
URL : https://hal.archives-ouvertes.fr/tel-01930004

J. T. Wright, Ten New and Updated Multiplanet Systems and a Survey of Exoplanetary Systems, The Astrophysical Journal, vol.693, issue.2, pp.1084-1099, 2009.

J. T. Wright, The Frequency of Hot Jupiters Orbiting Nearby Solar-Type Stars, The Astrophysical Journal, vol.753, issue.2, p.160, 2012.

J. T. Wright, The Exoplanet Orbit Database. Publications of the Astronomical Society of the Pacific, vol.123, pp.412-422, 2011.

Y. Wu and Y. Lithwick, Secular Chaos and the Production of Hot Jupiters, The Astrophysical Journal, vol.735, issue.2, pp.109-109, 2011.

J. Xie, Exoplanet Orbital Eccentricities Derived From LAMOST-Kepler Analysis, Proceedings of the National Academy of Sciences, 113.41, pp.11431-11435, 2016.

H. Yoshida, Construction of Higher Order Symplectic Integrators, Physics Letters A, vol.150, issue.5, pp.262-268, 1990.

A. N. Youdin and J. Goodman, Streaming Instabilities in Protoplanetary Disks, The Astrophysical Journal, vol.620, issue.1, pp.459-469, 2005.