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⃝ Yuki Tanaka (yuki.tanaka@nagoya-­‐u.jp), Takeru K. Suzuki, Shu-ichiro Inutsuka (Nagoya University)
Abstract
Recently theoretical studies on thermal evolution of hot Jupiters invoke Ohmic dissipation to account for extraordinary
large radii of some objects. Those analyses suggest the existence of significantly strong magnetic fields in hot Jupiters.
To test this hypothesis it is important to investigate possible consequence of magnetic fields in gaseous giant planets.
Since gaseous giant planets are supposed to have large convection zones, magnetic field mediates energy transfer from
the interior to the exterior of the atmosphere.
Atmospheric escape from hot Jupiters have been observed in some exoplanets by using transit method. But there are no
previous works about magnetically driven wind from a gaseous planet.
In this poster we develop a model of magnetically driven wind from a gaseous planet and investigate the resultant mass
loss.
We apply the theory of mass loss from the Sun to calculate mass loss rate from gaseous planet, especially from hot
Jupiters. We get mass loss rate which is consistent with observational mass loss rate when we use parameters which are
assumed to be typical value for hot Jupiters.
This work may provide a possible consistency check of theories with observation of hot Jupiters.
■ Introduction
■ Result
High surface temperature due to strong irradiation from
central star ~1000K è Large amount of mass loss from atmosphere is expected From observation.. ・Rare atmosphere extends out to several planetary radii ・Mass loss from atmosphere ☆Mass loss from hot Jupiter can be detected by using
transit method ☆Parameters Amplitude of velocity dispersion, radius & mass of planet
Surface temperature is fixed to 1000K ☆Velocity dispertsion dependence (Jupiter radius and mass)
When δv = 0.2cs ,
−16
Ṁ � 3.87 × 10 M⊙ /yr
è Consistent with
observational value
Luminosity
光度
可視光領域でのトランジット
Dimming
in visible band
10-13
Mass loss rate (Solar Mass/year)
Hot Jupiter è Close-in gaseous giant planet
Typical semi-major axis ~0.05AU
10-14
10
-15
10
-16
10-17
時間
Time
This structure is observed in light curve of HD 209458b Estimate value of mass loss rate (lower limit)
~1010 g/s (Vidal-Madjar et al. 2003) Mass loss rate (Msun/year)
Comet-like tail of escaping
high temperature
atmosphere
creates
散逸していく Effect of
distinctive
structure
in
大気による効果
escaping gas
light curve in UV band 10-12
10
-13
0.15
0.2
bv/cs
0.25
0.3
(fix dv to 0.2cs) Larger radius and smaller
mass
èLarger mass loss rate 10-15
-16
10-17
0.1
☆Radius and Mass 0.3MJ
0.7MJ
1.0MJ
1.5MJ
10-14
10
Observa5on (lower limit)
∼ 1.6 × 10−16 M⊙ /yr
0.8
1.0
1.2
Radius(RJ)
1.6
Depend strongly to radius of
planet 2.0
What is the driven mechanism of mass loss? èMass loss driven by magnetohydrodynamic wave èEnergy of turbulent at surface drives “planetary wind” through magnetic field There are no previous work about the relation between
mass loss and magnetic activities in gaseous planets. ガス惑星からの質量放出
■Model of Mass Loss from Planets
⃝!太陽風駆動に関する先行研究!
Apply
the previousを!study
!!!!!!
"#$%$&'!(!)*$+,$&-!.//01!.//23
!!!!!ガス惑星に応用!
solar wind acceleration
of
惑星風駆動!
Wind accelera5on & &!
Coronal hea5ng
上層大気加熱
!
!
表面で磁力線に擾乱を与える!
(Suzuki
& Inutsuka 2005,
! 磁力線に蓄えられたエネルギーが!
2006)
to
gaseous
planets !!!!!!!!!!!!上空へ伝播し散逸!
(1D上空でガス流を駆動して!
MHD calculation) !
!!!!!!!!!!!!質量放出に寄与
&!!
・Perturb magnetic
field
!!!!!!!!!!!上空でのコロナ形成を説明!
! lines at surface 4!
木星程度の天体に応用して
↓ ・MHD ガス惑星からの質量放出率
waves
propagate
and
を計算する
dissipa5on
散逸
Approximate expression of radial density profile at upper
atmosphere is
�
�
r−RR
NA kB T
H0 =
(Scale height)
ρ/ρ0 = exp − H
µg0
0 r
Proportional relation of energy of planetary wind is 1
2
2
2
Ṁ vesc ∝ 4πR ρ(rc ) vw �δv �
2
Lhs è Kinetic energy transported by wind per unit time Rhs è Energy flux at nozzle point of planetary wind
表面対流起源の!
Perturba5on d乱流によって!
ue to surface convec5on 磁力線に擾乱
dissipate ↓ 例:木星の磁場 05
・Acceleration of wind ・Creation of coronal region ■ Parameter Dependence
Surface 表面対流
convec5on
From these two equation, we can get
�
�
3
R
G rc − R M
Parametric dependence of
exp − 2
Ṁ ∝
M
c s rc R
mass
loss
rate
èConsistent
with simulation Conclusion &
Discussion
We can get consistent mass loss rate if we assume that mass
loss is driven by magnetohydrodynamic wave due to surface
convection. è Planetary wind is driven by magnetic field Derived parametric dependence Dependence on surface temperature èFuture works
Relation with interior or formative process
Apply this model to Jupiter-mass objects
and calculate mass loss rate