J/ApJ/716/1336ivo://CDS.VizieR/J/ApJ/716/1336doi:10.26093/cds/vizier.17161336CDSKopparapu R.K.Barnes R.2017-10-12T12:59:43Z2012-06-21T10:26:50ZCDS support team

CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France

cds-question@unistra.frsolar-system-planetsstellar-massesWe study the dynamical stability of planetary systems consisting of one hypothetical terrestrial-mass planet (1 or 10M_{earth}_) and one massive planet (10M{earth}-10M_jup_). We consider masses and orbits that cover the range of observed planetary system architectures (including non-zero initial eccentricities), determine the stability limit through N-body simulations, and compare it to the analytic Hill stability boundary. We show that for given masses and orbits of a two-planet system, a single parameter, which can be calculated analytically, describes the Lagrange stability boundary (no ejections or exchanges) but diverges significantly from the Hill stability boundary. However, we do find that the actual boundary is fractal, and therefore we also identify a second parameter which demarcates the transition from stable to unstable evolution. We show the portions of the habitable zones (HZs) of {rho} CrB, HD 164922, GJ 674, and HD 7924 that can support a terrestrial planet. These analyses clarify the stability boundaries in exoplanetary systems and demonstrate that, for most exoplanetary systems, numerical simulations of the stability of potentially habitable planets are only necessary over a narrow region of the parameter space. Finally, we also identify and provide a catalog of known systems that can host terrestrial planets in their HZs.2010ApJ...716.1336Khttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/ApJ/716/1336CatalogResearchIsServedByTAP VizieR generic serviceIsServedByConesearch servicerelated-toJ/MNRAS/414/1278 : Eccentricities of transiting planets (Pont+, 2011)J/other/Sci/330.653 : Detected planets in the Eta-Earth Survey (Howard+, 2010)J/A+A/502/395 : WASP-11b (West+, 2009)J/A+A/501/785 : Discovery and characterization of WASP-6b (Gillon+, 2009)J/ApJ/706/785 : HAT-P-12 light curve (Hartman+, 2009)J/A+A/424/L31 : Transiting exoplanet OGLE-TR-132b (Moutou+, 2004)J/A+A/390/267 : The CORALIE survey for extrasolar planets VIII (Udry+, 2002)http://exoplanets.org/ : Exoplanet orbit database home pagehttp://exoplanet.eu/ : The extrasolar planets encyclopaedia home pagehttps://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/ApJ/716/1336https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/ApJ/716/1336http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/ApJ/716/1336https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/ApJ/716/1336https://vizier.iucaa.in/viz-bin/votable?-source=J/ApJ/716/1336http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/ApJ/716/1336GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapCone search capability for table J/ApJ/716/1336/table4 (Lagrange stable and unstable boundaries, and the corresponding fraction of habitable zone stable for terrestrial mass planets in known single planet systems)https://vizier.cds.unistra.fr/viz-bin/conesearch/J/ApJ/716/1336/table4?https://vizier.iucaa.in/viz-bin/conesearch/J/ApJ/716/1336/table4?http://vizieridia.saao.ac.za/viz-bin/conesearch/J/ApJ/716/1336/table4?GETtext/xml+votable180.050000true1.5798981-49.07519110.0055555555555555566/341 679 725 876 1597 2110 2416 2497 3118 3536 3932 3979 4285 4429 4444 4528 4990 5067 5309 5815 6219 6381 6539 6638 6760 6821 6831 7136 7746 7760 8825 8843 9173 9355 9403 9459 9662 9753 9811 9843 9893 10654 10730 11087 11326 12030 12424 12465 12502 12612 12644 12899 12983 13439 13569 13643 13680 13702 14275 14412 14416 14434 14466 14525 14772 14825 14826 14886 14896 14914 14936 15040 15129 15143 15149 15273 16035 16213 16627 16652 16823 16947 17266 17730 17731 17954 18028 18172 18441 18614 18666 18953 19904 19912 20072 20145 20339 21003 21838 21906 22036 22065 22120 22208 22252 22590 23013 23030 23201 23363 23646 24019 24227 24409 25875 25939 26183 26242 26575 26706 26901 26978 26997 27018 27060 27088 27164 27616 27750 27881 28548 28767 28821 28822 28865 29513 30015 30170 30278 30419 30466 30541 30707 30770 31216 31494 31860 32491 32509 32561 32727 32749 32930 33243 33258 33377 33456 33630 33717 33923 34905 35079 35362 35392 35442 35968 36506 36697 37018 37246 37247 37329 37461 37573 37923 37954 37955 38452 38545 38728 39257 39364 39446 39646 40066 40101 40513 40985 41446 41607 41724 42044 42290 42386 42510 42570 42760 42934 42936 43012 43228 43677 43813 43818 43847 43911 44379 44398 44648 44740 45168 45364 45624 45682 45865 46111 46297 46306 46421 46437 46632 46800 46843 46967 47476 47550 47590 47930 48105 48108 48109 48519https://cdsarc.cds.unistra.fr/viz-bin/moc/J/ApJ/716/1336?format=asciidefaultJ/ApJ/716/1336/table4Lagrange stable and unstable boundaries, and the corresponding fraction of habitable zone stable for terrestrial mass planets in known single planet systemsSimbadNameSimbad column added by the CDSmeta.idcharrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintNameSystem namemeta.id;pos.framecharMassKnown planet mass in Jupiter masses(1.898187x10+27kg)phys.massfloataOrbit semi-major axisAUphys.size.smajAxisdoubleeOrbit eccentricitysrc.orbital.eccentricityfloat1tau-s1M{Earth} Lagrange stable boundary (1)stat.fit.paramfloat1tau-u1M{Earth} Lagrange unstable boundary (1)stat.fit.paramfloat1FHZ1M{Earth} Fraction of Habitable Zone (2)stat.fit.paramfloat10tau-s10M{Earth} Lagrange stable boundary (1)stat.fit.paramfloat10tau-u10M{Earth} Lagrange unstable boundary (1)stat.fit.paramfloat10FHZ10M{Earth} Fraction of Habitable Zone (2)stat.fit.paramfloatPcatCross-match with other catalogs of planets within 5"meta.ref.urlintnullable_RAPositions from SIMBAD database (right ascension part)degpos.eq.ra;meta.main_DEPositions from SIMBAD database (declination part)degpos.eq.dec;meta.main