Gillon, M. et al. Temperate Earth-sized planets transiting a nearby ultracool dwarf star. Nature 533, 221–224 (2016)
de Wit, J. et al. A combined transmission spectrum of the Earth-sized exoplanets TRAPPIST-1 b and c. Nature 537, 69–72 (2016)
Barstow, J. K. & Irwin, P. G. J. Habitable worlds with JWST: transit spectroscopy of the TRAPPIST-1 system? Mon. Not. R. Astron. Soc. 461, L92–L96 (2016)
Cresswell, P. & Nelson, R. P. On the evolution of multiple protoplanets embedded in a protostellar disc. Astron. Astrophys. 450, 833–853 (2006)
Mills, S. M. et al. A resonant chain of four transiting, sub-Neptune planets. Nature 533, 509–512 (2016)
Kopparapu, R. K. et al. Habitable zones around main-sequence stars: new estimates. Astrophys. J. 765, 131 (2013)
Leconte, J. et al. 3D climate modelling of close-in land planets: circulation patterns, climate moist instability, and habitability. Astron. Astrophys. 554, A69 (2013)
Stevenson, D. J. Life-sustaining planets in interstellar space? Nature 400, 32 (1999)
Gillon, M. et al. The TRAPPIST survey of southern transiting planets. I. Thirty eclipses of the ultra-short period planet WASP-43 b. Astron. Astrophys. 542, A4 (2012)
Agol, E., Steffen, J., Sari, R. & Clarkson, W. On detecting terrestrial planets with timing of giant planet transits. Mon. Not. R. Astron. Soc. 359, 567–579 (2005)
Holman, M. J. & Murray, N. W. The use of transit timing to detect terrestrial-mass extrasolar planets. Science 307, 1288–1291 (2005)
Fabrycky, D. C. in Exoplanets (ed. Seager, S. ) 217–238 (Univ. Arizona Press, 2010)
Winn, J. N. in Exoplanets (ed. Seager, S. ) 55–77 (Univ. Arizona Press, 2010)
Zeng, L., Sasselov, D. D. & Jacobsen, S. B. Mass-radius relation for rocky planets based on PREM. Astrophys. J. 819, 127 (2016)
Chiang, E. & Laughlin, G. The minimum-mass extrasolar nebula: in situ formation of close-in super-Earths. Mon. Not. R. Astron. Soc. 431, 3444–3455 (2013)
Kane, S. R., Hinkel, N. R. & Raymond, S. N. Solar system moons as analogs for compact exoplanetary systems. Astron. J. 146, 122 (2013)
MacDonald, M. G. et al. A dynamical analysis of the Kepler-80 system of five transiting planets. Astron. J. 152, 105 (2016)
Papaloizou, J. C. B. & Szuszkiewicz, E. On the migration-induced resonances in a system of two planets with masses in the Earth mass range. Mon. Not. R. Astron. Soc. 363, 153–176 (2005)
Terquem, C. & Papaloizou, J. C. B. Migration and the formation of systems of hot super-Earths and Neptunes. Astrophys. J. 654, 1110–1120 (2007)
Goldreich, P. & Tremaine, S. Disk-satellite interactions. Astrophys. J. 241, 425–441 (1980)
Raymond, S. N., Barnes, R. & Mandell, A. M. Observable consequences of planet formation models in systems with close-in terrestrial planets. Mon. Not. R. Astron. Soc. 384, 663–674 (2008)
Alibert, Y. & Benz, W. Formation and composition of planets around very low mass stars. Astron. Astrophys. 598, L5 (2017)
Kasting, J. F., Whitmire, D. P. & Reynolds, R. T. Habitable zones around main-sequence stars. Icarus 101, 108–128 (1993)
Ribas, I. et al. The habitability of Proxima Centauri b. I. Irradiation, rotation and volatile inventory from formation to the present. Astron. Astrophys. 596, A111 (2016)
Wordsworth, R. D. et al. Is Gliese 581d habitable? Some constraints from radiative-convective climate modeling. Astron. Astrophys. 522, A22 (2010)
Turbet, M. et al. The habitability of Proxima Centauri b II. Possible climates and observability. Astron. Astrophys. 596, A112 (2016)
Kopparapu, R. K. et al. The inner edge of the habitable zone for synchronously rotating planets around low-mass stars using general circulation models. Astrophys. J. 819, 84 (2016)
Bolmont, E. et al. Water loss from Earth-sized planets in the habitable zones of ultracool dwarfs: implications for the planets of TRAPPIST-1. Mon. Not. R. Astron. Soc. 464, 3728–3741 (2017)
Barnes, R. et al. Tidal limits to planetary habitability. Astrophys. J. 700, L30–L33 (2009)
Luger, R. & Barnes, R. Extreme water loss and abiotic O2 buildup on planets throughout the habitable zone of M dwarfs. Astrobiol. 15, 119–143 (2015)
Gillon, M. et al. TRAPPIST: a robotic telescope dedicated to the study of planetary systems. EPJ Web Conf. 11, 06002 (2011)
Jehin, E. et al. TRAPPIST: TRAnsiting Planets and PlanetesImals Small Telescope. Messenger 145, 2–6 (2011)
Pirard, J.-F. et al. HAWK-I: a new wide-field 1- to 2.5 μm imager for the VLT. Proc. SPIE 5492, 1763–1772 (2004)
Casali, M. et al. The UKIRT IR Wide-Field Camera (WFCAM). In The New Era of Wide-Field Astronomy (eds Clowes, R., Adamson, A. & Bromage, G. ) 357–363 (ASPC Conf. Series Vol. 232, 2001)
Benn, C., Dee, K. & Agócs, T. ACAM: a new imager/spectrograph for the William Herschel Telescope. Proc. SPIE 7014, 70146X (2008)
Stetson, P. B. DAOPHOT—a computer program for crowded-field stellar photometry. Publ. Astron. Soc. Pacif. 99, 191–222 (1987)
Fazio, G. G. et al. The Infrared Array Camera (IRAC) for the Spitzer Space Telescope. Astrophys. J. Suppl. Ser. 154, 10–17 (2004)
Ingalls, J. G. et al. Intra-pixel gain variations and high-precision photometry with the Infrared Array Camera (IRAC). Proc. SPIE 8442, http://dx.doi.org/10.1117/12.926947 (2012)
Knutson, H. A. et al. The 3.6–8.0 μm broadband emission spectrum of HD 209458b: evidence for an atmospheric temperature inversion. Astrophys. J. 673, 526–531 (2008)
Gillon, M. et al. Search for a habitable terrestrial planet transiting the nearby red dwarf GJ 1214. Astron. Astrophys. 563, A21 (2014)
Eastman, J., Siverd, R. & Gaudi, B. S. Achieving better than 1 minute accuracy in the heliocentric and barycentric Julian dates. Publ. Astron. Soc. Pacif. 122, 935–946 (2010)
Mandel, K. & Agol, E. Analytic light curves for planetary transit searches. Astrophys. J. 580, L171–L175 (2002)
Schwarz, G. E. Estimating the dimension of a model. Ann. Stat. 6, 461–464 (1978)
Filippazzo, J. C. et al. Fundamental parameters and spectral energy distributions of young and field age objects with masses spanning the stellar to planetary regime. Astrophys. J. 810, 158 (2015)
Claret, A. A new non-linear limb-darkening law for LTE stellar atmosphere models. Calculations for −5.0 ≤ log[M/H] ≤ +1, 2000K ≤ Teff ≤ 50000K at several surface gravities. Astron. Astrophys. 363, 1081–1190 (2000)
Claret, A. & Bloemen, S. Gravity and limb-darkening coefficients for the Kepler, CoRoT, Spitzer, uvby, UBVRIJHK, and Sloan photometric systems. Astron. Astrophys. 529, A75 (2011)
Gelman, A. & Rubin., D. B. Inference from iterative simulation using multiple sequences. Stat. Sci. 7, 457–472 (1992)
Deck, K. M. et al. TTVFast: an efficient and accurate code for transit timing inversion problems. Astrophys. J. 787, 132 (2014)
Chambers, J. E. A hybrid symplectic integrator that permits close encounters between massive bodies. Mon. Not. R. Astron. Soc. 304, 793–799 (1999)
Agol, E. & Deck, K. M. Transit timing to first order in eccentricity. Astrophys. J. 818, 177 (2016)
Deck, K. M. & Agol, E. Transit timing variations for planets near eccentricity-type mean motion resonances. Astrophys. J. 821, 96 (2016)
Levenberg, K. A method for certain problems in least squares. Q. Appl. Math. 2, 164–168 (1944)
Nelder, J. A. & Mead, R. A simplex method for function minimization. Comput. J. 7, 308–313 (1965)
Hanno, R. & Tamayo, D. WHFast: a fast and unbiased implementation of a symplectic Wisdom-Holman integrator for long-term gravitational simulations. Mon. Not. R. Astron. Soc. 452, 376–388 (2015)
Pu, B. & Wu, Y. Spacing of Kepler planets: sculpting by dynamical instability. Astrophys. J. 807, 44 (2015); erratum 819, 170 (2016)
Bolmont, E. et al. Formation, tidal evolution, and habitability of the Kepler-186 system. Astrophys. J. 793, 3 (2014)
Bolmont, E. et al. Mercury-T: a new code to study tidally evolving multi-planet systems. Applications to Kepler-62. Astron. Astrophys. 583, A116 (2015)
Deck, K. M., Payne, M. & Holman, M. J. First-order resonance overlap and the stability of close two-planet systems. Astrophys. J. 774, 129 (2013)
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