A Non-Gray Theory of Extrasolar Giant Planets and Brown Dwarfs
arXiv:astro-ph/9705201 · doi:10.1086/305002
Abstract
We present the results of a new series of non-gray calculations of the atmospheres, spectra, colors, and evolution of extrasolar giant planets (EGPs) and brown dwarfs for effective temperatures below 1300 K. This theory encompasses most of the mass/age parameter space occupied by substellar objects and is the first spectral study down to 100 K. These calculations are in aid of the multitude of searches being conducted or planned around the world for giant planets and brown dwarfs and reveal the exotic nature of the class. Generically, absorption by H_2 at longer wavelengths and H_2O opacity windows at shorter wavelengths conspire to redistribute flux blueward. Below 1200 K, methane is the dominant carbon bearing molecule and is a universal diagnostic feature of EGP and brown dwarf spectra. We find that the primary bands in which to search are (\sim 1.05 \mic), (\sim 1.2 \mic), (\sim 1.6 \mic), (\sim 2.2 \mic), (\sim 5 \mic), and (\sim 10 \mic), that enhancements of the emergent flux over blackbody values, in particular in the near infrared, can be by many orders of magnitude, and that the infrared colors of EGPs and brown dwarfs are much bluer than previously believed. In particular, relative to and , the band flux is reduced by CH_4 and H_2 absorption. Furthermore, we derive that for T_{eff}s below 1200 K most or all true metals are sequestered below the photosphere, that an interior radiative zone is a generic feature of substellar objects, and that clouds of H_2O and NH_3 are formed for T_{eff}s below \sim 400 K and \sim 200 K, respectively. This study is done for solar-metallicity objects in isolation and does not include the effects of stellar insolation. Nevertheless, it is an attempt to bridge the gap between the planetary and stellar realms and to develop a non-gray theory of objects from 0.3 \mj (``saturn'') to 70 \mj (0.07 \mo). We find that the detection ranges for brown dwarf/EGP discovery of both ground-- and space-based telescopes are larger than previously estimated.
73 pages total, LaTeX, 26 figures, 6 tables, also available in uuencoded, gzipped, and tarred form via anonymous ftp at www.astrophysics.arizona.edu (cd to pub/newegp), submitted to Ap. J
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- The Late-T Dwarf Companion to the Exoplanet Host Star HD 3651: A New Benchmark for Gravity and Metallicity Effects in Ultracool Spectra
- A warm Jupiter-sized planet transiting the pre-main sequence star V1298 Tau
- Spectroscopic characterization of HD 95086 b with the Gemini Planet Imager
- A search for starlight reflected from upsilon And's innermost planet
- Stellar parameters for TRAPPIST-1
- A Resolved Debris Disk around the G2V star HD 107146
- The SPHINX M-dwarf Spectral Grid. I. Benchmarking New Model Atmospheres to Derive Fundamental M-Dwarf Properties
- Seeing double with K2: Testing re-inflation with two remarkably similar planets around red giant branch stars
- Estimating the magnetic field strength in hot Jupiters
- Formation, Orbital and Internal Evolutions of Young Planetary Systems
- Keck/NIRC2 '-Band Imaging of Jovian-Mass Accreting Protoplanets around PDS 70
- Theoretical Examination of the Lithium Depletion Boundary
- The substellar mass function in sigma Orionis. II. Optical, near-infrared and IRAC/Spitzer photometry of young cluster brown dwarfs and planetary-mass objects
- Coupled Evolution with Tides of the Radius and Orbit of Transiting Giant Planets: General Results
- Ultracool Dwarfs Observed with the Spitzer Infrared Spectrograph. II. Emergence and Sedimentation of Silicate Clouds in L Dwarfs, and Analysis of the Full M5--T9 Field Dwarf Spectroscopic Sample
- Discovery of a ~23 Mjup Brown Dwarf Orbiting ~700 AU from the Massive Star HIP 78530 in Upper Scorpius
- Pebble-driven Planet Formation around Very Low-mass Stars and Brown Dwarfs
- The Best Brown Dwarf Yet?: A Companion to the Hyades Eclipsing Binary V471 Tau
- Dynamic tides in rotating objects: orbital circularisation of extra solar planets for realistic planet models
- Thermal Processes Governing Hot-Jupiter Radii
- The AU Microscopii Debris Disk: Multiwavelength Imaging and Modeling
- CFBDSIR J1458+1013B: A Very Cold (>T10) Brown Dwarf in a Binary System
- Imaging planets around nearby white dwarfs
- The Monitor project: Searching for occultations in young open clusters
- Keck Laser Guide Star Adaptive Optics Monitoring of the M8+L7 Binary LHS 2397aAB: First Dynamical Mass Benchmark at the L/T Transition
- Initial Results from the Palomar Adaptive Optics Survey of Young Solar-Type Stars: a Brown Dwarf and Three Stellar Companions
- Impact of a new H/He equation of state on the evolution of massive brown dwarfs. New determination of the hydrogen burning limit
- Experimental Design for the Gemini Planet Imager
- Extended Heat Deposition in Hot Jupiters: Application to Ohmic Heating
- Ohmic Dissipation in the Interiors of Hot Jupiters
- The First H-band Spectrum of the Massive Gas Giant Planet beta Pictoris b with the Gemini Planet Imager
- A Substellar Mass Function for Alpha Per
- Revised Fluxes for Gliese 229B
- Low Mass Stars and Substellar Objects in the NGC 1333 Molecular Cloud
- Direct Imaging and Astrometric Detection of a Gas Giant Planet Orbiting an Accelerating Star
- The Effect of 3D Transport-Induced Disequilibrium Carbon Chemistry on the Atmospheric Structure and Phase Curves and Emission Spectra of Hot Jupiter HD 189733b
- Infrared Spectroscopy and Analysis of Brown Dwarf and Planetary Mass Objects in the Orion Nebula Cluster
- Giant Planets
- Improved Dynamical Masses for Six Brown Dwarf Companions Using Hipparcos and Gaia EDR3
- Discovery and Atmospheric Characterization of Giant Planet Kepler-12b: An Inflated Radius Outlier
- Space Velocities of L- and T-type Dwarfs
- SOPHIE velocimetry of Kepler transit candidates IX. KOI-415 b: a long-period, eccentric transiting brown dwarf to an evolved Sun
- AKARI Observations of Brown Dwarfs I.: CO and CO_2 Bands in the Near-Infrared Spectra
- Evolution of Gas Giant Entropy During Formation by Runaway Accretion
- The substellar population of the young cluster lambda Orionis
- Astrometric Accelerations as Dynamical Beacons: A Giant Planet Imaged Inside the Debris Disk of the Young Star AF Lep
- Spectroscopy across the brown dwarf/planetary mass boundary - I. Near-infrared JHK spectra
- Rotational periods of very young brown dwarfs and very low-mass stars in ChaI
- K2-97b: A (Re-?)Inflated Planet Orbiting a Red Giant Star
- Astrometric follow-up observations of directly imaged sub-stellar companions to young stars and brown dwarfs
- Measuring Fundamental Parameters of Substellar Objects. I: Surface Gravities
- The W. M. Keck Observatory infrared vortex coronagraph and a first image of HIP79124 B
- Stars in the Hubble Ultra Deep Field
- A possible architecture of the planetary system HR 8799
- Tidal Heating Models for the Radii of the Inflated Transiting Giant Planets WASP-4b, WASP-6b, WASP-12b, and TrES-4
- The Gemini NICI Planet-Finding Campaign: The Companion Detection Pipeline
- Detection of cool dust around the G2V star HD 107146
- The First L-type Brown Dwarf in the Pleiades
- Sulfur Hazes in Giant Exoplanet Atmospheres: Impacts on Reflected Light Spectra
- Transition from L to T Dwarfs on the Color-Magnitude Diagram
- WISEP J004701.06+680352.1: An intermediate surface gravity, dusty brown dwarf in the AB Dor Moving Group
- Magellan Adaptive Optics first-light observations of the exoplanet Pic b. I. Direct imaging in the far-red optical with MagAO+VisAO and in the near-IR with NICI
- Deep Thermal Infrared Imaging of HR 8799 bcde: New Atmospheric Constraints and Limits on a Fifth Planet
- The SPHERE infrared survey for exoplanets (SHINE) -- II. Observations, Data reduction and analysis Detection performances and early-results
- Cloud Atlas: Discovery of Patchy Clouds and High-amplitude Rotational Modulations In a Young, Extremely Red L-type Brown Dwarf
- Carbon Dioxide in Exoplanetary Atmospheres: Rarely Dominant Compared to Carbon Monoxide and Water in Hot, Hydrogen-dominated Atmospheres
- Exoplanet-induced radio emission from M-dwarfs
- A Model-Independent Mass and Moderate Eccentricity for Pic b
- The AstraLux Multiplicity Survey: Extension to Late M-dwarfs
- Multi-fibre optical spectroscopy of low-mass stars and brown dwarfs in Upper Sco
- PynPoint: a modular pipeline architecture for processing and analysis of high-contrast imaging data
- NLTT 41135: a field M-dwarf + brown dwarf eclipsing binary in a triple system, discovered by the MEarth observatory
- Discovery of a High Proper Motion L Dwarf Binary: 2MASS J15200224-4422419AB
- The TRENDS High-Contrast Imaging Survey. I. Three Benchmark M-dwarfs Orbiting Solar-type Stars
- Discovery of a Young L Dwarf Binary, SDSS J224953.47+004404.6AB
- Patchy Forsterite Clouds in the Atmospheres of Two Highly Variable Exoplanet Analogs
- Search for free-floating planetary-mass objects in the Pleiades
- Parallaxes of Southern Extremely Cool objects (PARSEC) II: Spectroscopic Follow-up and Parallaxes of 52 Targets
- Contamination by field late-M, L and T dwarfs in deep surveys
- The Measurement, Treatment, and Impact of Spectral Covariance and Bayesian Priors in Integral-Field Spectroscopy of Exoplanets
- Parallaxes of Southern Extremely Cool objects - I: Targets, Proper motions and first results
- LHS 2803B: A very wide mid-T dwarf companion to an old M dwarf identified from Pan-STARRS1
- Weather on Other Worlds. V. The Three Most Rapidly Rotating Ultra-Cool Dwarfs
- Optical Spectroscopic Classification and Membership of Young M Dwarfs in Star-Forming Regions
- Hot-Jupiter Inflation due to Deep Energy Deposition
- Ca II H and K Chromospheric Emission Lines in Late K and M Dwarfs
- New Evidence for a Substellar Luminosity Problem: Dynamical Mass for the Brown Dwarf Binary Gl 417BC
- SDSS J141624.08+134826.7: A Nearby Blue L Dwarf From the Sloan Digital Sky Survey
- The influence of multiple stars on the high-mass stellar initial mass function and age-dating of young massive star clusters
- An L Band Spectrum of the Coldest Brown Dwarf
- Thermodynamics of Giant Planet Formation: Shocking Hot Surfaces on Circumplanetary Disks
- Probing the Extent of Vertical Mixing in Brown Dwarf Atmospheres with Disequilibrium Chemistry
- The First Spectrum of the Coldest Brown Dwarf
- Multiplicity at the Stellar/Substellar Boundary in Upper Scorpius
- A temperate super-Jupiter imaged with JWST in the mid-infrared
- The Formation of Cataclysmic Variables with Brown Dwarf Secondaries
- Adaptive Optics Imaging of the AU Microscopii Circumstellar Disk: Evidence for Dynamical Evolution
- Deuterium burning in objects forming via the core accretion scenario - Brown dwarfs or planets?
- The LEECH Exoplanet Imaging Survey. Further constraints on the planet architecture of the HR 8799 system
- Parallaxes and physical properties of 11 mid-to-late T dwarfs
- Weather on Other Worlds I: Detection of Periodic Variability in the L3 Dwarf DENIS-P J1058.7-1548 with Precise Multi-Wavelength Photometry
- Formation of Hot Jupiters through Secular Chaos and Dynamical Tides
- SDSS J042348.57-041403.5AB: A Brown Dwarf Binary Straddling the L/T Transition
- NLTT5306: The shortest Period Detached White Dwarf + Brown Dwarf Binary
- On the Radii of Brown Dwarfs Measured with AKARI Near-Infrared Spectroscopy
- A Library of Self-Consistent Simulated Exoplanet Atmospheres
- Dynamical Mass of GJ 802B: a brown dwarf in a triple system
- Evaporation of dark matter from celestial bodies
- The Y-Band at 1.035 um: Photometric Calibration and the Dwarf Stellar/Sub-Stellar Color Sequence
- Near-infrared low-resolution spectroscopy of Pleiades L-type brown dwarfs
- Comparative Evolution of Jupiter and Saturn
- Theoretical Radii of Transiting Giant Planets: The Case of OGLE-TR-56b
- An Improved Red Spectrum of the Methane or T-dwarf SDSS 1624+0029: Role of the Alkali Metals
- HAZMAT III: The UV Evolution of Mid- to Late-M Stars with GALEX
- Brown dwarfs in the Hyades and beyond?
- A Dynamical Mass of Jupiter Masses for Gliese 229B, the First T Dwarf
- Astrometric and photometric monitoring of GQ Lup and its sub-stellar companion
- EPIC 219388192 b - an inhabitant of the brown dwarf desert in the Ruprecht 147 open cluster
- ALMA observations of the narrow HR 4796A debris ring
- Broad-band transmission spectrum and K-band thermal emission of WASP-43b as observed from the ground
- Dust in the Photospheric Environment II. Effect on the Near Infrared Spectra of L and T Dwarfs
- Low Mass Stars and Brown Dwarfs in NGC 2024: Constraints on the Substellar Mass Function
- Derivation of the Mass Distribution of Extrasolar Planets with MAXLIMA - a Maximum Likelihood Algorithm
- Atmospheric Analysis of the M/L- and M/T-Dwarf Binary Systems LHS 102 and Gliese 229
- Systematic light curve modelling of TDEs: statistical differences between the spectroscopic classes
- Discovery of An Unusually Blue L Dwarf Within 10 pc of the Sun
- Spectral Classification and Effective Temperatures of L and T Dwarfs Based of Near-Infrared Spectra
- Exoplanet characterization with long slit spectroscopy
- Orbit and Dynamical Mass of the Late-T Dwarf Gl 758 B
- HIP 38939B: A New Benchmark T Dwarf in the Galactic Plane Discovered with Pan-STARRS1
- Could the planets around HR 8799 be brown dwarfs?
- Uncertainties in Galactic Chemical Evolution Models
- A 2MASS L Dwarf Companion to the Nearby K Dwarf GJ 1048
- Self-consistent Models of Y Dwarf Atmospheres with Water Clouds and Disequilibrium Chemistry
- Spitzer Identification of the Least Massive Known Brown Dwarf with a Circumstellar Disk
- Photometric brown-dwarf classification. II. A homogeneous sample of 1361 L and T dwarfs brighter than J = 17.5 with accurate spectral types
- New Brown Dwarf Disks in the TW Hydrae Association
- Accretion and Outflow in the Substellar Domain: Magellan Spectroscopy of LS-RCrA 1
- OGLE-2013-BLG-0102LA,B: Microlensing binary with components at star/brown-dwarf and brown-dwarf/planet boundaries
- Detecting exomoons from radial velocity measurements of self-luminous planets: application to observations of HR 7672 B and future prospects
- Bulk composition of the transiting hot Neptune around GJ 436
- Characterizing a Dramatic Flare on an Ultracool Dwarf Found by the ASAS-SN Survey
- Near-infrared integral-field spectra of the planet/brown dwarf companion AB Pic b
- S Ori 70: Just a Foreground Field Brown Dwarf?
- A Young Very Low-Mass Object surrounded by warm dust
- Search for very low-mass brown dwarfs and free-floating planetary-mass objects in Taurus
- The SOPHIE search for northern extrasolar planets. IV. Massive companions in the planet-brown dwarf boundary
- Characterization of the gaseous companion κ Andromedae b: New Keck and LBTI high-contrast observations
- Spitzer and z' Secondary Eclipse Observations of the Highly Irradiated Transiting Brown Dwarf KELT-1b
- SCExAO/CHARIS Direct Imaging Discovery of a 20 au Separation, Low-Mass Ratio Brown Dwarf Companion to an Accelerating Sun-like Star
- Spectroscopy of planetary mass brown dwarfs in Orion
- A near-infrared spectroscopic detection of the brown dwarf in the post common envelope binary WD0137-349
- Discovery of a T dwarf + white dwarf binary system
- Fourteen New Companions from the Keck & Lick Radial Velocity Survey Including Five Brown Dwarf Candidates
- A Search for Variability in the Active T dwarf 2MASS 1237+6526
- First limits on the occurrence rate of short-period planets orbiting brown dwarfs
- First High-Contrast Science with an Integral Field Spectrograph: the Sub-Stellar Companion to GQ Lup
- Deep Keck adaptive optics searches for extrasolar planets in the dust of Epsilon Eridani and Vega
- Polarized scattered light from self-luminous exoplanets. Three-dimensional scattering radiative transfer with ARTES
- Periodic Optical Variability of Radio Detected Ultracool Dwarfs
- Characterization of Low-mass, Wide-separation Substellar Companions to Stars in Upper Scorpius: Near-infrared Photometry and Spectroscopy
- Empirically Determining Substellar Cloud Compositions in the era of JWST
- A Herschel Search For Cold Dust in Brown Dwarf Disks: First Results
- A Survey For Planetary-mass Brown Dwarfs in the Taurus and Perseus Star-forming Regions
- The SOPHIE search for northern extrasolar planets IX. Populating the brown dwarf desert
- The Monitor project: JW 380 -- a 0.26, 0.15 Msol pre main sequence eclipsing binary in the Orion Nebula Cluster
- Dynamical Masses of Eps Ind B and C: Two Massive Brown Dwarfs at the Edge of the Stellar-Substellar Boundary
- An L-type substellar object in Orion: reaching the mass boundary between brown dwarfs and giant planets
- Primeval very low-mass stars and brown dwarfs - VI. Population properties of metal-poor degenerate brown dwarfs
- Exploring the formation by core accretion and the luminosity evolution of directly imaged planets: The case of HIP 65426 b
- The Galilean Satellites Formed Slowly from Pebbles
- Discovery of the first wide L dwarf + giant binary system and eight other ultra-cool dwarfs in wide binaries
- The field brown dwarf LP 944-20 and the Castor moving group
- WFIRST-AFTA Coronagraph Science Yield Modeling with EXOSIMS
- Indications of Water Clouds in the Coldest Known Brown Dwarf
- The Dawes Review 3: The Atmospheres of Extrasolar Planets and Brown Dwarfs
- WASP-4 is Accelerating Toward the Earth
- As the Worlds Turn: Constraining Spin Evolution in the Planetary-Mass Regime
- Discovery of a 66 mas Ultracool Binary with Laser Guide Star Adaptive Optics
- A First-Look Atmospheric Modeling Study of the Young Directly-Imaged Planet-Mass Companion, ROXs 42Bb
- Resolved Spectroscopy of M Dwarf/L Dwarf Binaries. II. 2MASS J 17072343-0558249AB
- Dust in Brown Dwarfs IV. Dust formation and driven turbulence on mesoscopic scales
- Explorations into the Viability of Coupled Radius-Orbit Evolutionary Models for Inflated Planets
- HN Peg B: A Test of Models of the L to T Dwarf Transition
- Characterizing the disk around the TW Hydrae Association brown dwarf 2MASSW J1207334-393254
- New constraints on the formation and settling of dust in the atmospheres of young M and L dwarfs
- HST, VLT, and NTT imaging search for wide companions to bona-fide and candidate brown dwarfs in the Cha I dark cloud
- Discovery of a Magnetic White Dwarf/Probable Brown Dwarf Short-Period Binary
- TOI-2076 and TOI-1807: Two young, comoving planetary systems within 50 pc identified by TESS that are ideal candidates for further follow-up
- Theoretical Radii of Extrasolar Giant Planets: the Cases of TrES-4, XO-3b, and HAT-P-1b
- The Hawaii Infrared Parallax Program. V. New T-Dwarf Members and Candidate Members of Nearby Young Moving Groups
- Observed Variability at 1um and 4um in the Y0 Brown Dwarf WISEP J173835.52+273258.9
- Primeval very low-mass stars and brown dwarfs - IV. New L subdwarfs, Gaia astrometry, population properties, and a blue brown dwarf binary
- The missing M dwarfs
- COol Companions ON Ultrawide orbiTS (COCONUTS). I. A High-Gravity T4 Benchmark around an Old White Dwarf and A Re-Examination of the Surface-Gravity Dependence of the L/T Transition
- Host star metallicity of directly imaged wide-orbit planets: implications for planet formation
- The Mass-Luminosity Relation in the L/T Transition: Individual Dynamical Masses for the New J-Band Flux Reversal Binary SDSSJ105213.51+442255.7AB
- Discovery of a directly imaged planet to the young solar analog YSES 2
- Constraining Hot Jupiter Atmospheric Structure and Dynamics through Doppler Shifted Emission Spectra
- 15NH3 in the atmosphere of a cool brown dwarf
- Adaptive optics imaging survey of the Tucana-Horologium association
- The substellar population of Sigma Orionis: A deep wide survey
- Photometric variability of a young, low-mass brown dwarf
- Orbital Monitoring of the AstraLux Large M-dwarf Multiplicity Sample
- The Hyperactive L Dwarf 2MASS J13153094-2649513: Continued Emission and a Brown Dwarf Companion
- JWST/NIRSpec Observations of the Planetary Mass Companion TWA 27B
- Probing Structures of Distant Extrasolar Planets with Microlensing
- A Significant Over-Luminosity in the Transiting Brown Dwarf CWW 89Ab
- Impact of photochemical hazes and gases on exoplanet atmospheric thermal structure
- HST/WFC3 H Direct-Imaging Detection of a Point-like Source in the Disk Cavity of AB Aur
- Astrometric Accelerations as Dynamical Beacons: Discovery and Characterization of HIP 21152 B, the First T-Dwarf Companion in the Hyades
- The low-mass companion of GQ Lup
- A Candidate Protoplanet in the Taurus Star Forming Region
- Y dwarf Trigonometric Parallaxes from the Spitzer Space Telescope
- A Dynamical Simulation of the Debris Disk Around HD 141569A
- On the Nature of the Unique H-Emitting T Dwarf 2MASS J12373919+6526148
- LSR0602+3910 - Discovery of a Bright Nearby L-type Brown Dwarf
- The GL 569 Multiple System
- Retrieval Study of Brown Dwarfs Across the L-T Sequence
- New constraints on the membership of the T dwarf S Ori 70 in the sigma Orionis cluster
- The ground-based H, K, and L-band absolute emission spectra of HD 209458b
- Physical parameters of T dwarfs derived from high-resolution near-infrared spectra
- Direct imaging of sub-Jupiter mass exoplanets with James Webb Space Telescope coronagraphy
- Dynamical Mass of the Young Substellar Companion HD 984 B
- Multi-epoch Direct Imaging and Time-Variable Scattered Light Morphology of the HD 163296 Protoplanetary Disk
- First Detection of a Strong Magnetic Field on a Bursty Brown Dwarf: Puzzle Solved
- Uniform Forward-Modeling Analysis of Ultracool Dwarfs. II. Atmospheric Properties of 55 Late-T Dwarfs
- Lithium depletion boundary, stellar associations, and Gaia
- An Eclipsing Substellar Binary in a Young Triple System discovered by SPECULOOS
- NICMOS Narrow-band Infrared Photometry of TW Hya Association Stars
- Considerations for Atmospheric Retrieval of High-Precision Brown Dwarf Spectra
- The Direct Detectability of Giant Exoplanets in the Optical
- Spectroscopic estimate of surface gravity for a planetary member in the Sigma Ori cluster
- Spectroscopy of Hyades L dwarf candidates
- Nitrogen as a Tracer of Giant Planet Formation. I.: A Universal Deep Adiabatic Profile and Semi-analytical Predictions of Disequilibrium Ammonia Abundances in Warm Exoplanetary Atmospheres
- Coronagraphic near-IR photometry of AB Dor C
- Dynamical Mass of the M8+M8 Binary 2MASS J22062280-2047058AB
- Uniform Forward-Modeling Analysis of Ultracool Dwarfs. I. Methodology and Benchmarking
- Activity at the Deuterium-Burning Mass Limit in Orion
- The Mass and Age of Very Low Mass Members of the Open Cluster Alpha Persei
- The Primordial Entropy of Jupiter
- First High Contrast Imaging Using a Gaussian Aperture Pupil Mask
- Model atmospheres of sub-stellar mass objects
- Mass loss at the lowest stellar masses
- A Spitzer/IRAC Search for Substellar Companions of the Debris Disk Star epsilon Eridani
- Retrieval study of cool, directly imaged exoplanet 51 Eri b
- The Young Substellar Companion ROXs 12 B: Near-Infrared Spectrum, System Architecture, and Spin-Orbit Misalignment
- A search for circularly polarised emission from young exoplanets
- Serendipitous discovery of seven new southern L-dwarfs
- The DODO Survey II: A Gemini Direct Imaging Search for Substellar and Planetary Mass Companions around Nearby Equatorial and Northern Hemisphere White Dwarfs
- Adaptive Optics Observations of Vega: Eight Detected Sources and Upper Limits to Planetary-Mass Companions
- Ultracool Dwarfs Observed with the Spitzer Infrared Spectrograph -- III. Dust Grains in Young L Dwarf Atmospheres Are Heavier
- Thermal Infrared Constraint to a Planetary Companion of Vega with the MMT Adaptive Optics System
- FIRE Spectroscopy of the ultra-cool brown dwarf, UGPS J072227.51-054031.2: Kinematics, Rotation and Atmospheric Parameters
- Further deep imaging of HR 7329 A (eta Tel A) and its brown dwarf companion B
- Long duration radio transients lacking optical counterparts are possibly Galactic Neutron Stars
- Methane in Analogs of Young Directly Imaged Exoplanets
- A Search for L/T Transition Dwarfs With Pan-STARRS1 and WISE. III. Young L Dwarf Discoveries and Proper Motion Catalogs in Taurus and Scorpius-Centaurus
- Detectability of dirty dust grains in brown dwarf atmospheres
- Young Jupiters are Faint: New Models of the Early Evolution of Giant Planets
- L and T dwarfs in the Hyades and Ursa Major moving groups
- Evolutionary models for ultracool dwarfs
- Planets Around Low-Mass Stars (PALMS). V. Age-Dating Low-Mass Companions to Members and Interlopers of Young Moving Groups
- Young Exoplanet Transit Initiative (YETI)
- Warm Dust around Cool Stars: Field M Dwarfs with WISE 12 or 22 Micron Excess Emission
- Formation and evolution of planetary systems: the impact of high angular resolution optical techniques
- Hot Start Giant Planets Form With Radiative Interiors
- Near-Infrared Spectroscopy of 2M0441+2301 AabBab: A Quadruple System Spanning the Stellar to Planetary Mass Regimes
- Community targets for JWST's early release science program: evaluation of WASP-63b
- Secondary eclipses in the CoRoT light curves: A homogeneous search based on Bayesian model selection
- A 1.46-2.48 m Spectroscopic Atlas of a T6 Dwarf (1060 K) Atmosphere with IGRINS: First Detections of HS and H, and Verification of HO, CH, and NH Line Lists
- Near-infrared Spectra of Chamaeleon I Stars
- Infrared spectroscopy of a brown dwarf companion candidate near the young star GSC 08047-00232 in Horologium
- Hubble Space Telescope Imaging and Spectral Analysis of Two Brown Dwarf Binaries at the L Dwarf/T Dwarf Transition
- An Atmospheric Retrieval of the Brown Dwarf Gliese 229B
- Discovery of a Visual T-Dwarf Triple System and Binarity at the L/T Transition
- ExoReL: A Bayesian Inverse Retrieval Framework For Exoplanetary Reflected Light Spectra
- Addressing Systematics in the Traceback Age of the Pictoris Moving Group
- The very nearby M/T dwarf binary SCR 1845-6357
- Very Low Mass Stellar and Substellar Companions to Solar-like Stars From MARVELS IV: A Candidate Brown Dwarf or Low-Mass Stellar Companion to HIP 67526
- Searching for chemical signatures of brown dwarf formation
- Lithium in LP 944-20
- The Enigmatic Brown Dwarf WISEA J153429.75-104303.3 (aka "The Accident")
- Growth of Jupiter: Formation in Disks of Gas and Solids and Evolution to the Present Epoch
- CWISEP J193518.59154620.3: An Extremely Cold Brown Dwarf in the Solar Neighborhood Discovered with CatWISE
- Near-Infrared Spectroscopy of the Y0 WISEP J173835.52+273258.9 and the Y1 WISE J035000.32-565830.2: the Importance of Non-Equilibrium Chemistry
- Low-mass companions to Hyades stars
- Effects of Collisions with Rocky Planets on the Properties of Hot Jupiters
- The Masses of a Sample of Radial-Velocity Exoplanets with Astrometric Measurements
- Evolution of Exoplanets and their Parent Stars
- Protostellar Cloud Fragmentation and Inward Migration by Disk Capture as the Origin of Massive Exoplanets
- Blank field submm sources, failed stars, and the dark matter
- HST/NICMOS Observations of NGC 1333: The Ratio of Stars to Sub-Stellar Objects
- WISEP J180026.60+013453.1: A Nearby Late L Dwarf Near the Galactic Plane
- A survey for planetary-mass brown dwarfs in the Chamaeleon I star-forming region
- A Census of Stars and Disks in Corona Australis
- A new take on the low-mass brown dwarf companions on wide-orbits in Upper-Scorpius
- Disk-fed giant planet formation
- The SOPHIE search for northern extrasolar planets VIII. Follow-up of ELODIE candidates: long-period brown-dwarf companions
- Supervised Machine Learning for Intercomparison of Model Grids of Brown Dwarfs: Application to GJ 570D and the Epsilon Indi B Binary System
- A Near-Infrared Wide-Field Proper Motion Search for Brown Dwarfs
- SLoWPoKES-II: 100,000 Wide Binaries Identified in SDSS without Proper Motions
- Limits on the Mass and Initial Entropy of 51 Eri b from Gaia EDR3 Astrometry
- Early ComeOn+ Adaptive Optics Observation of GQ Lup and its Substellar Companion
- Completely dark galaxies: their existence, properties, and strategies for finding them
- Discovery of three nearby L dwarfs in the Southern Sky
- Discovery of a Companion at the L/T Transition with the Wide-field Infrared Survey Explorer
- The Surface Densities of Disk Brown Dwarfs in JWST Surveys
- Three newly-discovered M-dwarf companions of Solar Neighbourhood stars
- Parallaxes of five L Dwarfs with a Robotic Telescope
- Near-IR coronagraphic imaging of the companion to HR 7672
- Information in the Reflected Light Spectra of Widely Separated Giant Exoplanets
- High-Contrast 3.8 Micron Imaging Of The Brown Dwarf/Planet-Mass Companion to GJ 758
- Photo-evaporation of close-in gas giants orbiting around G and M stars
- A Substellar Common Proper Motion Companion to the Pleiad HII 1348
- Mid-Infrared Observations of the White Dwarf Brown Dwarf Binary GD 1400
- Search for cool giant exoplanets around young and nearby stars - VLT/NaCo near-infrared phase-coronagraphic and differential imaging
- The McDonald Accelerating Stars Survey (MASS): White Dwarf Companions Accelerating the Sun-like Stars 12 Psc and HD 159062
- Water depletion and 15NH3 in the atmosphere of the coldest brown dwarf observed with JWST/MIRI
- Near Infrared Observations of GQ Lup b Using the Gemini Integral Field Spectrograph NIFS
- Orbital and spectral characterization of the benchmark T-type brown dwarf HD 19467B
- Infrared and kinematic properties of the substellar object G 196-3B
- Orbital and spectral analysis of the benchmark brown dwarf HD 4747B
- Exploring HO Prominence in Reflection Spectra of Cool Giant Planets
- Dynamical Mass of the Exoplanet Host Star HR 8799
- MMT/AO 5 micron Imaging Constraints on the Existence of Giant Planets Orbiting Fomalhaut at ~13-40 AU
- The Monitor project: the search for transits in the open cluster NGC 2362
- Precise Dynamical Masses of Epsilon Indi Ba and Bb: Evidence of Slowed Cooling at the L/T Transition
- GQ Lup and its common proper motion companion
- Studies of RR Lyrae Variables in Binary Systems. I.: Evidence of a Trimodal Companion Mass Distribution
- Rotation periods and photometric variability of rapidly rotating ultra-cool dwarfs
- Substellar Mass Function of Young Open Clusters as Determined through a Statistical Approach Using 2MASS and GSC Data
- Resolved Spectroscopy of M Dwarf/L Dwarf Binaries. IV. Discovery of an M9 + L6 BInary Separated by Over 100 AU
- A dusty benchmark brown dwarf near the ice line of HD 72946
- Near-infrared spectra of ISO selected Chamaeleon I young stellar objects
- A Massive Substellar Companion to the Massive Giant HD 119445
- An ablating super-Earth in an eccentric binary from the Dispersed Matter Planet Project
- Three long period transiting giant planets from TESS
- Convective Mixing in Gas Giant Planets with Primordial Composition Gradients
- An optical spectroscopic H-R diagram for low-mass stars and brown dwarfs in Orion
- A Rotation Rate for the Planetary-Mass Companion DH Tau b
- Lucky Imaging Adaptive Optics of the brown dwarf binary GJ569Bab
- Characterization of the Benchmark Binary NLTT 33370
- GASTLI: An open-source coupled interior-atmosphere model to unveil gas giant composition
- The LEECH Exoplanet Imaging Survey: Orbit and Component Masses of the Intermediate Age, Late-Type Binary NO UMa
- ATLAS Probe: Breakthrough Science of Galaxy Evolution, Cosmology, Milky Way, and the Solar System
- On the existence of brown dwarfs more massive than the hydrogen burning limit
- A novel survey for young substellar objects with the W-band filter VI: Spectroscopic census of sub-stellar members and the IMF of Orionis cluster
- Testing the models: NIR imaging and spectroscopy of the benchmark T-dwarf binary Eps Indi B
- Convective dynamics and disequilibrium chemistry in the atmospheres of giant planets and brown dwarfs
- Integral Field Spectroscopy of the Low-Mass Companion HD984B with the Gemini Planet Imager
- ALMA Discovery of a Disk around the Planetary-mass Companion SR 12 c
- Testing the fragmentation limit in the Upper Sco association
- Spectral library of age-benchmark low-mass stars and brown dwarfs
- High-contrast spectroscopy of SCR J1845-6357 B
- Infrared imaging and spectroscopy of companion candidates near the young stars HD 199143 and HD 358623 in Capricornius
- Surveying Nearby Brown Dwarfs with HGCA: Direct Imaging Discovery of a Faint, High-Mass Brown Dwarf Orbiting HD 176535 A
- Searching for substellar companions of young isolated neutron stars
- 2MASS J20261584-2943124: An Unresolved L0.5 + T6 Spectral Binary
- A wide planetary-mass companion to a young low-mass brown dwarf in Ophiuchus
- ESPRESSO Mass determination of TOI-263b: An extreme inhabitant of the brown dwarf desert
- Two warm, low-density sub-Jovian planets orbiting bright stars in K2 campaigns 13 and 14
- Calibrating Ultracool Dwarfs: Optical Template Spectra, Bolometric Corrections, and Values
- A Near-Infrared (JHK) Survey of the Vicinity of the HII region NGC 7538: Evidence for a Young Embedded Cluster
- Evidence for SiO cloud nucleation in the rogue planet PSO J318
- Evidence for accretion in a nearby, young brown dwarf
- MADYS: the Manifold Age Determination for Young Stars
- Cloud Parameterizations and their Effect on Retrievals of Exoplanet Reflection Spectroscopy
- HST/NICMOS observations of a proto-brown dwarf candidate
- Variable Irradiation on 1D Cloudless Eccentric Exoplanet Atmospheres
- A Mid-Infrared Study of Directly-Imaged Planetary-Mass Companions using Archival Spitzer/IRAC Images
- Resolved Spectroscopy of M Dwarf/L Dwarf Binaries. III. The "Wide" L3.5/L4 Dwarf Binary 2MASS J15500845+1455180AB
- Planets Around Low-Mass Stars (PALMS). II. A Low-Mass Companion to the Young M Dwarf GJ 3629 Separated By 0.2"
- Measuring the Initial Mass Function of Low Mass Stars and Brown Dwarfs
- A Comparison of Simulated JWST Observations Derived from Equilibrium and Non-Equilibrium Chemistry Models of Giant Exoplanets
- Extreme evaporation of planets in hot thermally unstable protoplanetary discs: the case of FU Ori
- The continued optical to mid-IR evolution of V838 Monocerotis
- Rotation and Abundances of the Benchmark Brown Dwarf HD 33632 Ab from Keck/KPIC High-resolution Spectroscopy
- Size and strength of self-excited dynamos in Jupiter-like extrasolar planets
- Chemical abundances of stars with brown-dwarf companions
- Nonequilibrium thermodynamics of circulation regimes in optically-thin, dry atmospheres
- Exoplanets Bouncing Between Binary Stars
- Deep near-IR observations of the Globular Cluster M4: Hunting for Brown Dwarfs
- Optical and infrared photometry of new very low-mass stars and brown dwarfs in the Sigma Orionis cluster
- Can brown dwarfs survive on close orbits around convective stars?
- Ultracool dwarf benchmarks with \emph{Gaia} primaries
- Electrostatic activation of prebiotic chemistry in substellar atmospheres
- SIM PlanetQuest Key Project Precursor Observations to Detect Gas Giant Planets Around Young Stars
- USco1621 B and USco1556 B: Two wide companions at the deuterium-burning mass limit in Upper Scorpius
- Dynamical Mass of the Young Brown Dwarf Companion PZ Tel B
- Physical Properties of Gliese 229B Based on Newly Determined Carbon and Oxygen Abundances of Gliese 229A
- Prospects for Directly Imaging Young Giant Planets at Optical Wavelengths
- Prospects for Spectroscopic Reflected-light Planet Searches
- Spectroscopic signatures of youth in low-mass kinematic candidates of young moving groups
- A Method for Selecting M dwarfs with an Increased Likelihood of Unresolved Ultra-cool Companionship
- KMT-2016-BLG-1820 and KMT-2016-BLG-2142: Two Microlensing Binaries Composed of Planetary-mass Companions and Very-Low-Mass Primaries
- Ionisation and discharge in cloud-forming atmospheres of brown dwarfs and extrasolar planets
- VLTI/GRAVITY Observations and Characterization of the Brown Dwarf Companion HD 72946 B
- Three low-mass companions around aged stars discovered by TESS
- WISEP J060738.65+242953.4: A Nearby. Pole-On L8 Brown Dwarf with Radio Emission
- An Age Constraint for the Very Low-Mass Stellar/Brown Dwarf Binary 2MASS J03202839-0446358AB
- Ultracool Dwarfs Observed with the Spitzer Infrared Spectrograph. I. An Accurate Look at the L-to-T Transition at 300 Myr from Optical through Mid-infrared Spectrophotometry
- Why is it So Hot in Here? Exploring Population Trends in Thermal Emission Observations of Hot Jupiters using Planet-Specific Self-Consistent Atmospheric Models
- Looking for outflows from brown dwarfs
- Ultracool dwarfs identified using spectra in LAMOST DR7
- A candidate planetary-mass object with a photoevaporating disk in Orion
- The spectroscopic signature of hot Jupiters in FU Orionis objects
- Thermochemical modelling of brown dwarf discs
- The Effect of Atmospheric Cooling on the Vertical Velocity Dispersion and Density Distribution of Brown Dwarfs
- The Demographics of Exoplanets
- Reflected Light Phase Curves in the TESS Era
- A search for lithium in metal-poor L dwarfs
- Search for exoplanets and brown dwarfs with VLBI
- The Future of Ultracool Dwarf Science with JWST
- Very Low-mass Stellar and Substellar Companions to Solar-like Stars from Marvels III: A Short-Period Brown Dwarf Candidate Around An Active G0Iv Subgiant
- Effects of Thermal Emission on the Transmission Spectra of Hot Jupiters
- Hyades Member K2-136c: The Smallest Planet in an Open Cluster with a Precisely Measured Mass
- Design Considerations for a Ground-Based Search for Transiting Planets around L and T Dwarfs
- Multi-Epoch VLBI of L Dwarf Binary 2MASS J0746+2000AB: Precise Mass Measurements and Confirmation of Radio Emission from Both Components
- Apparent Stellar Wobble by a Planet in a Circumstellar Disk: Limitations on Planet Detection by Astrometry
- Optical spectra of selected Chamaeleon I young stellar objects
- A possible misaligned orbit for the young planet AU Mic c
- How do we optimally sample model grids of exoplanet spectra?
- Beyond the Local Volume. II. Population Scaleheights and Ages of Ultracool Dwarfs in Deep HST/WFC3 Parallel Fields
- Trends in Spitzer Secondary Eclipses
- 2MASS J154043.42-510135.7: a new addition to the 5 pc population
- Mid-infrared imaging of brown dwarfs in binary systems
- NACO-SDI imaging of known companion host stars from the AAPS and Keck planet search surveys
- Pulsation Frequencies and Modes of Giant Exoplanets
- Following the Lithium: Tracing Li-bearing Molecules Across Age, Mass, and Gravity in Brown Dwarfs
- A Random Forest Approach to Identifying Young Stellar Object Candidates in the Lupus Star-Forming Region
- Constraints on the substellar companions in wide orbits around the Barnard's Star from CanariCam mid-infrared imaging
- A New Method for Characterizing Very-Low-Mass Companions with Low Resolution Near-Infrared Spectroscopy
- The search for planetary mass companions to field brown dwarfs with HST/NICMOS
- Impacts of Water Latent Heat on the Thermal Structure of Ultra-Cool Objects: Brown Dwarfs and Free-Floating Planets
- SPICA infrared coronagraph for the direct observation of exo-planets
- Constraints on observing brightness asymmetries in protoplanetary disks at solar system scale
- TOI-1442 b and TOI-2445 b: two potentially rocky ultra-short period planets around M dwarfs
- Directly Imaging Tidally Powered Migrating Jupiters
- Discovery of the Binarity of Gliese 229B, and Constraints on the System's Properties
- A Spitzer Search For Planetary-Mass Brown Dwarfs With Circumstellar Disks: Candidate Selection
- Differentiating Formation Models with New Dynamical Masses for the PDS 70 Protoplanets
- Properties of the solar neighbor WISE J072003.20-084651.2
- High resolution spectroscopy of Brown Dwarfs in Taurus: Detection of accretion in KPNO Tau 3
- A closer look at the -chain reaction in the Sun: Constraining the coupling of light mediators to protons
- A Search for Predicted Astrometric Microlensing Events by Nearby Brown Dwarfs
- Constraints on the Space Density of Methane Dwarfs and the Substellar Mass Function from a Deep Near-Infrared Survey
- A coronagraphic search for wide sub-stellar companions among members of the Ursa Major moving group
- Radiative Transfer for Exoplanet Atmospheres
- Polarimetric investigation of selected cloud compositions in exoplanetary atmospheres
- X-ray Detections of Two Young Bona-Fide Brown Dwarfs
- A new L-dwarf member of the moderately metal-poor triple system HD 221356
- Zodiacal Exoplanets in Time (ZEIT) XII: A Directly-Imaged Planetary-Mass Companion to a Young Taurus M Dwarf Star
- Formulation and Resolutions of the Red Sky Paradox
- The cool atmospheres of the binary brown dwarf eps Indi B
- MIRACLES: atmospheric characterization of directly imaged planets and substellar companions at 4-5 m. II. Constraints on the mass and radius of the enshrouded planet PDS 70 b
- CFBDSIR 2149-0403: young isolated planetary-mass object or high-metallicity low-mass brown dwarf??
- Hotter Than Expected: HST/WFC3 Phase-resolved Spectroscopy of a Rare Irradiated Brown Dwarf with Strong Internal Heat Flux
- What Hubble really meant by late and early type: simply more or less complex in appearance
- Probing the Substellar Regime with SIRTF
- Stable Hydrogen burning limits in rapidly rotating very low mass objects
- The Sonora Substellar Atmosphere Models VI. Red Diamondback: Extending Diamondback with SPHINX for Brown Dwarf Early Evolution
- Confirming the least massive members of the Pleiades star cluster
- Testing the existence of optical linear polarization in young brown dwarfs
- Are there brown dwarfs in globular clusters?
- Newly discovered brown dwarfs not seen in microlensing time scale frequency distribution?
- High Contrast Imaging with Gaussian Aperture Pupil Masks (GAPMs)
- NICMOS Kernel-Phase Interferometry II: Demographics of Nearby Brown Dwarfs
- The Evolution of Jupiter and Saturn as a function of the Parameter R
- The model for cloudy substellar atmospheres: A grid of self-consistent substellar atmosphere models with microphysical cloud formation
- High Spatial Resolution Thermal-Infrared Spectroscopy with ALES: Resolved Spectra of the Benchmark Brown Dwarf Binary HD 130948BC
- The Change in Jupiter's Moment of Inertia due to Core Erosion and Planetary Contraction
- Precision measurement of a brown dwarf mass in a binary system in the microlensing event OGLE-2019-BLG-0033/MOA-2019-BLG-035
- Mid Infrared Observations of Van Maanen 2: No Substellar Companion
- Deep Contrast and Companion Detection Using the EvWaCo Testbed Equipped with an Achromatic Focal Plane Mask and an Adjustable Inner Working Angle
- A Color Analysis of the NICMOS Parallel Image Archive
- A Novel Survey for Young Substellar Objects with the W band Filter.V. IC 348 and Barnard 5 in the Perseus Cloud
- Orbital Modeling of HII 1348B: An Eccentric Young Substellar Companion in the Pleiades
- Edge-on disk around the T Tauri star [MR81] Halpha 17 NE in CrA
- Two substellar survivor candidates; one found and one missing
- Dust cloud evolution in sub-stellar atmospheres via plasma deposition and plasma sputtering
- M dwarf stars in the light of (future) exoplanet searches
- The Impact of Irradiation on the Radius and Thermal Evolution of Transiting Brown Dwarfs
- Distinct Rotational Evolution of Giant Planets and Brown Dwarf Companions
- Searching for giant planets in the outer Solar System with far-infrared all-sky surveys
- Infrared Search for Young Brown Dwarf Companions around Young Stellar Objects in the rho Ophiucus Molecular Cloud and the Serpens Molecular Cloud
- The planetary-mass-limit VLT/SINFONI library: Spectral extraction and atmospheric characterization via forward modeling
- Search for transiting exoplanets and variable stars in the open cluster NGC 7243
- Optical spectroscopy of a brown dwarf candidate
- Probing Late-type T dwarf J-H Color Outliers for Signs of Age
- A candidate giant planet companion to the massive, young white dwarf GALEX J071816.4+373139 informs the occurrence of giant planets orbiting B stars
- The Sonora Brown Dwarf Atmosphere and Evolution Models I. Model Description and Application to Cloudless Atmospheres in Rainout Chemical Equilibrium
- Search for Exoplanets around Northern Circumpolar Stars- II. The Detection of Radial Velocity Variations in M Giant Stars HD 36384, HD 52030, and HD 208742
- Calibrating the metallicity of M dwarfs in wide physical binaries with F-, G-, and K-primaries -- II: Carbon, oxygen, and odd-Z iron-peak abundances of the primary stars
- L 363-38 b: a planet newly discovered with ESPRESSO orbiting a nearby M dwarf star
- Infrared observations of a mid-L dwarf with strong H emission
- Where to find over-massive brown dwarfs: new benchmark systems for binary evolution
- Nature of Faint Companions to G type Stars using Adaptive Optics
- Radio Emission from a Nearby M dwarf Binary
- Planetary architectures under the influence of a stellar binary
- Model Bond albedos of extrasolar giant planets
- Evolutionary Status of T Tauri Stars
- The Gaia Ultracool Dwarf Sample -- IV. GTC/OSIRIS optical spectra of Gaia late-M and L dwarfs
- A Mass Transferring Brown Dwarf Binary on a 57 Minute Orbit
- The Brown Dwarf Kinematics Project (BDKP). V. Radial and Rotational Velocities of T Dwarfs from Keck/NIRSPEC High-Resolution Spectroscopy
- Obliquity Constraints on the Planetary-mass Companion HD 106906 b
- Spectrum and atmosphere models of irradiated transiting extrasolar giant planets
- Spectroscopy of Brown Dwarf Candidates in the NGC 1333 Molecular Cloud
- New constraints on the minimum mass for thermonuclear lithium burning in brown dwarfs
- On the desert between neutron star and black hole remnants
- Embedded Clusters and the IMF
- Discovery of a young low-mass brown dwarf transiting a fast-rotating F-type star by the Galactic Plane eXoplanet (GPX) survey
- The Perkins INfrared Exosatellite Survey (PINES) I. Survey Overview, Reduction Pipeline, and Early Results
- Confronting Substellar Theoretical Models with Stellar Ages
- From Molecular Cores to Planet-forming Disks with SIRTF
- Klio: A 5 micron camera for the detection of giant exoplanets
- New Ideas in the Theory of Extrasolar Giant Planets and Brown Dwarfs
- Dynamics of Y Dwarf Atmospheres
- Activity and Kinematics of M and L Dwarfs
- Atmospheric Signatures of Common Envelope Evolution in White Dwarf Planets
- TESS unveils the optical phase curve of KELT-1b. Thermal emission and ellipsoidal variation from the brown dwarf companion, and activity from the star
- Using Old and New Approaches: Determining Physical Properties of Brown Dwarfs with Empirical Relations and Machine Learning Models