x-ray universe 2011 the high-energy environment of extrasolar planets j. schmitt hamburger...
TRANSCRIPT
X-ray Universe 2011
The The High-Energy Environment of High-Energy Environment of Extrasolar PlanetsExtrasolar Planets
J. Schmitt
Hamburger SternwarteEmail: [email protected]
Internet: http://www.hs.uni-hamburg.de
Outline:Outline: Motivation: The Sun as an X-ray jjjjsource X-ray properties of planet-bearing kkstars Star-planet interactions (SPI) Conclusions
Subject of X-ray emission and extrasolar planets is further
persued by:
Session A.1 Monday 15:20
Scott Walk: X-ray Observations of Hot Jupiters
Poster A13:
K. Poppenhaeger: Star-Planet Interactions in X-rays -
mimicked by selection effects ?
What would the Sun/solar system look like to an extrasolar astronomer (equipped with our instrumentation) ?
(Hypothetical) Extraterrestrial astronomers know
that
Sun is a (weak) X-ray source
Sun shows cyclic activity with a period of 11 years
Sun possesses a cold Jupiter with a period of about 11/12 years
„Types“ of extrasolar planets:
1. Radial velocity detections (blue, nearby))
2. Transit detections (green, further away)
3. Microlensing detections (brown, very distant)
Volume-limited sample of F,G,K,M dwarfs: FX vs. MV
Schmitt & Liefke (2004)
F G K M
Solar coronal hole
MV
Log
FX
Mea
n X
-ray
su
rfac
e fl
ux
Why do we care about X-rays ?
Star-Planet interaction:
(a) Star influences planet (trivial at first sight)
(b) Planet influences star
Planet might affect star through
tidal interaction (Earth-Moon system !)
magnetic interaction (joint magnetospheres)
Jupiter-Io-like interaction
Half period
full period
full period
X-ray Universe 2011
Key elements of Jupiter-Io interaction:
1. Strong magnetic field of Jupiter
2. Evaporation due to volcanism and formation of plasma torus (high density environment)
3. Corotation of Jupiter‘s magnetosphere beyond Io
4. Magnetospheric rotation is super-Keplerian at Io‘s distance
All required ingredients present in late-type stars
albeit not necessarily in any given star !
X-ray Universe 2011
Application to Planet X around a young star:
€
Bplanet = Bhost
Rhost
dplanet
⎛
⎝ ⎜ ⎜
⎞
⎠ ⎟ ⎟
3
€
Veff ,planet = 2π dplanet
1
Phost
−1
Pplanet
⎛
⎝ ⎜ ⎜
⎞
⎠ ⎟ ⎟
€
Pplanet2 =
4π 2
GMhost
dplanet3
€
PAlfven =MA
4 1+ MA2
Pplanet
Phost
−1 ⎛
⎝ ⎜
⎞
⎠ ⎟
2π
Pplanet
⎛
⎝ ⎜ ⎜
⎞
⎠ ⎟ ⎟
13 / 3Rp
2Bh2Rh
6
GMhost( )5 / 3
Dipole field Corotating plasma Kepler‘s 3 law
€
=MA
4 1+ MA2
Pplanet
Phost
−1 ⎛
⎝ ⎜
⎞
⎠ ⎟RJ
2BkG2 RSun
6
Pd13 / 3MSun
5 / 3× 6 1027 erg /s
Claims for SPI at X-ray wavelengths (1):
Kashyap et al., 2008, ApJ, 687, 1339
„We carry out detailed statistical analysis on a volume-limited sample of main-sequence star systems with detected planets, comparing subsamples of stars that have close-in planets with stars that have more distant planets. This analysis reveals strong evidence that stars with close-in giant planets are on average more X-ray active by a factor of 4 than those with planets that are more distant.“
Zur Anzeige wird der QuickTime™ Dekompressor „TIFF (Unkomprimiert)“
benötigt.
close-in planets
distant planets
Claims for SPI at X-ray wavelengths (2):
Scharf, C., 2010, ApJ, 722, 1547
„We examine the X-ray emission of stars hosting planets and find a positive correlation between X-ray luminosity and the projected mass of the most closely orbiting exoplanets ….
Luminosities and upper limits are consistent with the interpretation that there is a lower floor to stellar X-ray emission dependent on close-in planetary mass.
Under the hypothesis that this is a consequence of planet-star magnetic field interaction, and energy dissipation, we estimate a possible field strength increase of a factor of ~8 between planets of 1 and 10 MJ . …
The high-energy photon emission of planet-star systems may therefore provide unique access to the detailed magnetic, and hence geodynamic, properties of exoplanets.“
X-ray census of planet bearing host stars
Poppenhaeger et al. (2010):
Known host stars within a volume of 30 pc: 72 20 pc
XMM-Newton 31 detections/4 upper limits (20d/1 ul)
ROSAT 23 detections/11 upper limits (20d/3 ul)
Total 54 detections/15 upper limits (40d/4 ul)
(Uncensored) LX-distribution of nearby host stars is known
Spectral information avaialble for stronger sources
Name Teff P (days) Rplanet Age CoRoT 2ab 5600 K 1.74 1.465 young 51 Peg ab 5790 K 4.23 ? old
Two case studies:
Stellar radiation responsible for:
planetary heating (optical and UV)
ionosphere generation (XUV and X-ray)
(all planets with atmospheres in the solar
system have ionospheres !)
LX,host (cgs) a (AU) FX (cgs) Teff (K) Earth 1027 1 0.35 300 Jupiter 1027 5.2 0.013 120 51 Peg b 5 1026 0.052 65.4 1250 CoRoT 2b 4 1029 0.028 1.8 105 1800
A little comparison ……
Mass loss of (extrasolar ) planets:
1. „Jeans“ escape: atmosphere becomes collisionless
2. Hydrodynamic blowoff: Parker wind
Zur Anzeige wird der QuickTime™ Dekompressor „TIFF (Unkomprimiert)“
benötigt.
Planetary „surface“
collisional
collisionless
€
vescape =2GM
Rescape velocity:
Jean‘s flux:
€
ΦJ =kT
2π mp
N e−λ (1+ λ )
€
λ =GMmpart
RkTexo
=potential energy
thermal energy
rms speed:
€
vrms =3kT
mpart
escape temperature:
€
Tescape =2GM mpart
3k R
Escape temperatures of extrasolar planets:
Scaling relation from solar system gas giants:
€
Texo,1 − Teff ,1
Texo,2 − Teff ,2
vrms =Fheating,1g1
Fheating,2g2
€
Tescape ≈15000 K
Exospheric temperatures of extrasolar planets: ???????????
Obtain ridiculous values for CoRoT 2b
Exospheric temperatures ought to exceed
escape temperature !
€
G M p mpart
Rp
Nenergy limited = ε FX +XUVEnergy limited flux:
Energy limited mass loss:
€
˙ M energy limited ≈ ε FX +XUV
Rp3
M p
BUT is the outflow really energy limited ?
there is radiative cooling
conduction
expansion ….
How large is the mass loss ?