J/ApJS/259/54ivo://CDS.VizieR/J/ApJS/259/54doi:10.26093/cds/vizier.22590054CDSHuang Y.Gladman B.Volk K.2022-09-05T14:10:11Z2022-07-19T08:02:58ZCDS support team

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

cds-question@unistra.frasteroidssurveysThere is a complex inclination structure present in the trans-Neptunian object (TNO) orbital distribution in the main classical-belt region (between orbital semimajor axes of 39 and 48au). The long-term gravitational effects of the giant planets make TNO orbits precess, but nonresonant objects maintain a nearly constant "free" inclination (Ifree) with respect to a local forced precession pole. Because of the likely cosmogonic importance of the distribution of this quantity, we tabulate free inclinations for all main-belt TNOs, each individually computed using barycentric orbital elements with respect to each object's local forcing pole. We show that the simplest method, based on the Laplace-Lagrange secular theory, is unable to give correct forcing poles for objects near the {nu}18 secular resonance, resulting in poorly conserved Ifree values in much of the main belt. We thus instead implemented an averaged Hamiltonian to obtain the expected nodal precession for each TNO, yielding significantly more accurate free inclinations for nonresonant objects. For the vast majority (96%) of classical-belt TNOs, these Ifree values are conserved to <1{deg} over 4 Gyr numerical simulations, demonstrating the advantage of using this well-conserved quantity in studies of the TNO population and its primordial inclination profile; our computed distributions only reinforce the idea of a very coplanar surviving "cold" primordial population, overlain by a large I-width implanted "hot" population.2022ApJS..259...54Hhttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/ApJS/259/54CatalogResearchIsServedByTAP VizieR generic servicerelated-toII/371 : The Dark Energy Survey (DES): Data Release 2 (Abott+, 2021)J/A+A/468/L13 : Phot. of the trans-Neptunian object 2005FY9 (Ortiz+, 2007)J/ApJS/189/336 : HST astrometry of TNOs (Benecchi+, 2010)J/A+A/569/A3 : Rotational properties of TNOs (Thirouin+, 2014)J/A+A/584/A96 : Observations of 50 TNOs and Centaurs (Desmars+, 2015)J/AJ/154/62 : Orbital parameters of Kuiper Belt objects (Volk+, 2017)J/AJ/156/33 : Resonance sticking in scattering TNOs (Yu+, 2018)J/ApJS/236/18 : OSSOS. VII. TNOs complete data release (Bannister+, 2018)J/ApJS/243/12 : Outer Solar System Origins Survey colors (Schwamb+, 2019)J/ApJS/244/19 : OSSOS. XII. Subaru/HSC obs. of 65 TNOs (Alexandersen+, 2019)J/ApJ/883/L21 : LC of the TNO Varuna (Fernandez-Valenzuela+, 2019)J/AJ/157/120 : TNOs & Centaurs observed within the DES (Banda-Huarca+, 2019)J/AJ/157/228 : Cold Classical TNOs: LCs & rot. properties (Thirouin+, 2019)J/AJ/159/133 : Orbital elements of TNOs from DES (Khain+, 2020)J/ApJS/258/41 : TNOs from the full six years of DES (Bernardinelli+, 2022)http://ssd.jpl.nasa.gov/ : JPL solar system objects home pagehttps://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/ApJS/259/54https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/ApJS/259/54http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/ApJS/259/54https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/ApJS/259/54https://vizier.iucaa.in/viz-bin/votable?-source=J/ApJS/259/54http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/ApJS/259/54GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapdefaultJ/ApJS/259/54/table1Barycentric elements and _Ifree_ for main-belt trans-Neptunian objects (TNOs)recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordinta[39/48] Semimajor axis of nominal orbit (1)AUphys.size.smajAxisdoublee[0.002/0.94] Eccentricity (1)src.orbital.eccentricitydoubleinc[0.035/150.24] Inclination (1)degsrc.orbital.inclinationdoubleOmega[0.138/359.42] Longitude of ascending node (1)degsrc.orbital.nodedoubleomega[0.114/359.95] Argument of perihelion (1)degsrc.orbital.periastrondoubleM[0.03/359.97] Mean anomaly (1)degsrc.orbital.meanAnomalydoubleDist[9.5/55.97] Distance (1)AUpos.distance;pos.heliocentricdoubleH[-0.12/16.2]? Absolute magnitude (2)magphys.magAbsfloatnullableRESO[-1/2013] Dynamics flag (3)src.orbitalintIfree[0.015/407.78]? Free inclination from double averaging (4)degsrc.orbital.inclinationdoublenullableIfrrange[0.03/16013.2]? Free inclination over 10Myr integration time (4)degtime.epochdoublenullableqForced[-369.91/203.45]? Q component of forcing pole (qForce=I_forced_*cos({Omega}_forced_))degstat.fit.paramdoublenullablepForced[-156.94/88.97]? P component of forcing pole (pForce=I_forced_*sin({Omega}_forced_))degstat.fit.paramdoublenullableOSSOSOSSOS++ internal designation (x=a non-OSSOS++ object)meta.idcharDESDES internal designation (x=a non-DES object)meta.idcharJPLJPL Small-Body Database identifier (2)(5)meta.idcharPlanet? Asteroid number if any (2)meta.idintnullableONameDesignation (2)meta.idcharNameFull name (2)meta.id;meta.maincharAstorbDisplay data from B/astorbmeta.ref.urlchar