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Observed Properties of Multiple - Planet Systems. Properties of Multi-Planet Systems: Outline of Talk. Properties of Single Planets (Review of Last Time) Theory: Migration & Planets Tug on Planets Neptune-Mass Planets: First Observations Multi-Planet Systems: Properties
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Properties ofMulti-Planet Systems:Outline of Talk • Properties of Single Planets (Review of Last Time) • Theory: Migration & Planets Tug on Planets • Neptune-Mass Planets: First Observations • Multi-Planet Systems: Properties • Mean-Motion Resonances • Formation & Evolution Puzzles
Exoplanet Detection Methods # Planetary Systems Proven Techniques • Precise Doppler: 170 • Transits: 8 • Gravitational lensing: 3 ? • Direct Imaging: 2 ? Techniques for the Future • Astrometry: Precise Doppler Kepler
Review Last Time NASA/JPL 178 Giant Exoplanets Detected Around Sun-Like Stars Doppler Detection of Wobble of Star orbiting common center of mass with planet(s).
Stars Wobble: Gravitational pull of Planets Spectrum of starlight Doppler Effect of Star Light
High Resolution ``Echelle” Starlight From Telescope Echelle Spectrometer Spectrometer CCD Echelle Grating Collimator
Spectrum of Star:Doppler Effect Saturn induces 3 m/s in Sun : 0.001 pixel Doppler Precision: 1 m/s v / c ~ 3 x 10-9 Dl / l ~ 3 x 10-9 4096 Pixels
1300 FGKM Nearby Stars Three Telescopes Doppler Precision: 3 m s-1 115 Extrasolar Planets 8 Yrs (4 AU) 7 Yrs (3.5 AU) 19 Yrs (6 AU) Keck Lick Anglo-Aus. Tel.
178 • a = 0 - 5 AU • M sini = 0.05-15 MJUP • Multiple Planets • Nearly half found by: Swiss team Harvard teams Texas teams
New Planet P = 5.3 yr e = 0.47 2.96 MJUP
New Planet: P = 1.3 yr e ~ 0.1
Sub-Saturn Masses: 30 - 100 MEarth Msini = 37 MEarth Msini = 32 MEarth Msini = 57 MEarth Sub-Saturn Masses: Detectable for P < 3 Month
Review Giant Planets: Mass Distribution • Rise toward • low masses • to 1 MSAT • Sub-Saturn? Detection Limit: ~ 0.2 MJUP @ 1 AU
Semimajor Axis Distribution 6.5 % Occurrence Poor Detect- ability Flat Extrapolation: D6% of stars have planets 3 - 20 AU . Total: 12 % Rise Prediction: Reservoir of Jupiters at 5-20 AU Log Models: • Inward Migration. • Planets left in place • as disk vanishes .
Future:Gas Giants Orbiting Beyond 5 AU • Represents 5 % • of Stars • Orbits: • Circular or • Eccentric? G0 V
Orbital Eccentricities Tidal Circ.: a < 0.07 AU • <e> = 0.25 • Origin of eccent. controversial . (But suggestion later, and talk by Veras & Armitage) • Ecc still high Beyond 2.5 AU <e>=0.25
Super-Earths: 1 - 14 MEarthThe Next Domain • Earth - Uranus: Gap in Mass: Factor 14 • Intermediate Masses: Do theyForm? Or do planet embryos accrete gas ala Neptune ? • If They Form: - Terr-like: CO2 Atm. ? - Neptune-like H&He env ? • Density: 1 or 5 g cm-3 ? Terrestrial Super- Earths ? Ice & Gas giants
Habitable Worlds and life in the universe
Next Frontier: First Search for Habitable Worlds Too cold Too hot Temp = 0 - 100 C Will Need an Extraordinary, New Telescope To Detect Earth-Like Planets. NASA . . .
NASA’s Effort to:Discover EarthsOrbiting other Stars • Finds Nearby (d< 20 pc) Earths: • Measures masses and orbits. • Follow-up: IR disks, Doppler, Imaging planets (TPF, AO) • First Survey for Earths: • Occurrence rate. • d = 1 kpc, No masses Kepler: SIM:
HD 12661 (G0 V) Periodogram P = 5yr
HD 12661: 2 - Planet Model RMS=3.4 m/s Possible 6:1 Resonance Gozdziewski & Maciejewski, Lee & Peale 2.5 MJ 1.9 MJ Weak Interactions
K0V, 1Gy, 16 pc HD 128311 2:1 Resonance Inner Outer Per (d) 458 918 Msini 2.3 3.1 ecc 0.23 0.22 w 119 212 Pc / Pb = 2.004 Dynamical Resonance (Laughlin)
Upsilon Andromedae • First multiple-planet system discovered around a regular “main sequence” star in 1999. SFSU • Now have ~ 450 Doppler observations with precision limited by stellar jitter of ~ 7.5m/s • Upsilon And c & d have significant orbital eccentricities (e = 0.25 & 0.27 ±0.02) • Orbit Eccentricities change during 1000 years. • What is the origin of these eccentricities?
Mass = 0.62 MJUP 60 Days 0.65 0.70 0.75 0.80
Upsilon Andromedae: Velocity Residuals P Tp ecc w K Msini a (d) (JD-2450000) (deg) (m/s) (MJUP) (AU) ----------------------------------------------------------------------------- 4.61712 2.01588 0.028 66.7 68.1 0.66 0.059 241.2 160.4765 0.24 252 55.7 1.97 0.828 1318.4 138.3883 0.28 300 62.2 3.84 2.569 ----------------------------------------------------------------------------- RMS = 15.6 m/s N points = 279 D omega = 48 deg Circulating Or Librating? eC0 ?
. Upsilon Andromedae: Triple Planet System . e=0.27 . 2 MJUP . e=0.25 0 ? . . Impulsive Origin of ecc ? (Ford, Rasio, Malhotra) . 0.6 MJUP . 4 MJup . .
Planet-Planet Scattering: Impulsive Origin Of Eccentricites ?
Upsilon Andromeda:Origin of Eccentricities Initial Eccentricity = 0
Gliese 876Real-Time Mean-Motion Resonanceand first Super Earth: • Star’s Mass = 0.32 Msun • Two Jupiters in 2:1 res.
Two-Planet Model GJ 876: Velocities Resid Time Laughlin et al. 2004
GL 8762:1 Mean-Motion Resonance&Apsidal Lock Inner Outer P 30.1 61.0 d Msini 0.56 1.89 MJ e 0.27 0.10 w 330 333o • Resonance Work: • Laughlin & Chambers • Lissauer & Rivera • Man Hoi Lee & S.Peale
Gliese 876 • 2:1 Mean Motion Resonance Precession Period: 9 yr Man Hoi Lee
Two-Planet Model GJ 876: Velocities Laughlin et al. 2004
Velocity Residuals to2-Planet fit Period = 1.94 d M sini = 5.9 MEarth For i = 50 deg, MPL = 7.5 MEarth Velocity Lowest Mass Exoplanet to date. Orbital Phase
3-Planet Fit Rivera & Lissauer
Gliese 876 Two Jupiters in 2:1 Resonance 7 1/2 Earth-Mass Planet 7 1/2 Earth-masses • Excitation of Eccentricity • Tidal Heating
178 a, MPL, ecc shown20 multi-planet systems151 planet-bearing stars5 Mean-Motion Resonances:Gl 876 (2:1) 55 Cnc (3:1) HD 82943 (2:1) HD 73526 (2:1) HD 128311 (2:1)Proposed M-M Res. : HD 37124 (5:1 ?) HD 12661 (6:1 ?) HD 202206 (6:1 ?)
Single-Planet Systems • Planet Mass • Distributions • Neptunes Common • Saturn Paucity • Explanation? M sini (MJUP) Ups And Multi-Planet Systems M sini (MJUP)
Single-Planets Eccentricities: No Sig. Difference; Surprising: Multi-systems should suffer resonances & perturbations GJ 876 Multi-Planets
Summary • Planet Mass Distribution: Peaks Below 1 MSAT • Semimajor Axis Distrib. Rises toward 5 AU • Multi-planet Systems common • Mean-Motion Resonances Common Migration, capture, eccentricity pumping • Properties of Multi-Planets not very different from single-planet systems: Common processes?
Total eccentricity vs Total Planet Mass GJ 876 More mass Higher eccentricity
Planet Mass Ratio GJ 876 Period Ratio Stability of large Mass ratios Requires wide separation
13 7 GJ 876 Outer planet tends to be more massive.