1. The Transit Method: Results from the Ground
Results from individual transit search programs
The Mass-Radius relationships (internal structure)
Global Properties
The Rossiter-McClaughlin Effect (Spectroscopic Transits)

2. The first time I gave this lecture (2003) there were 2 transiting extrasolar planets.
There are now 127 transiting extrasolar planets detected from ground-based programs
First ones were detected by doing follow-up photometry of radial velocity planets. Now transit searches are discovering exoplanets

3. Radial Velocity Curve for HD 209458
Period = 3.5 days
Msini = 0.63 MJup
The probability is 1 in 10 that a short period Jupiter will transit. HD was the 10th short period exoplanet searched for transits

4. Mass = 0.63 MJupiter Radius = 1.35 RJupiter Density = 0.38 g cm–3
Charbonneau et al. (2000): The observations that started it all:
Mass = 0.63 MJupiter
Radius = 1.35 RJupiter
Density = 0.38 g cm–3

5. An amateur‘s light curve.
Hubble Space Telescope.

6. The OGLE Planets
OGLE: Optical Gravitational Lens Experiment (
1.3m telescope looking into the galactic bulge
Mosaic of 8 CCDs: 35‘ x 35‘ field
Typical magnitude: V = 15-19
Designed for Gravitational Microlensing
First planet discovered with the transit method

7. The first planet found with the transit method

8. Konacki et al.

9. Vsini = 40 km/s
K = 510 ± 170 m/s
i= 79.8 ± 0.3 a=
Mass = 4.5 MJ
Radius = 1.6 RJ
Spectral Type Star = F3 V
OGLE transiting planets: These produce low quality transits, they are faint, and they take up a large amount of 8m telescope time..

10. The OGLE Planets Planet Mass (MJup) Radius (RJup) Period (Days) Year
OGLE2-TR-L9 b
4.5
1.6
2.48
2007
OGLE-TR-10 b
0.63
1.26
3.19
2004
OGLE-TR-56 b
1.29
1.3
1.21
2002
OGLE-TR-111 b
0.53
1.07
4.01
OGLE-TR-113 b
1.32
1.09
1.43
OGLE-TR-132 b
1.14
1.18
1.69
OGLE-TR-182 b
1.01
1.13
3.98
 OGLE-TR-211 b
1.03
1.36
3.68
Prior to OGLE all the RV planet detections had periods greater than about 3 days.
The last OGLE planet was discovered in Most likely these will be the last because the target stars are too faint.

11. The TrES Planets
TrES: Trans-atlantic Exoplanet Survey (STARE is a member of the network
Three 10cm telescopes located at Lowell Observtory, Mount Palomar and the Canary Islands
6.9 square degrees
5 Planets discovered

12. TrEs 2b
P = 2.47 d
M = 1.28 MJupiter
R = 1.24 RJupiter
i = 83.9 deg

13. Report that the transit duration is increasing with time, i. e
Report that the transit duration is increasing with time, i.e. the inclination is changing:
However, Kepler shows no change in the inclination!
Discrepancy most likely due to wavelength depedent limb darkening

14. The HAT Planets
HATNet: Hungarian-made Automated Telescope (
Six 11cm telescopes located at two sites: Arizona and Hawaii
8 x 8 square degrees
36 Planets discovered

15. HAT-P-12b Star = K4 V Planet Period = 3.2 days
Planet Radius = 0.96 RJup
Planet Mass = 0.21 MJup (~MSat)
r = 0.3 gm cm–3
The best fitting model for HAT-P-12b has a core mass ≤ 10 Mearth and is still dominated by H/He (i.e. like Saturn and Jupiter and not like Uranus and Neptune). It is the lowest mass H/He dominated gas giant planet.

16. The WASP Planets
WASP: Wide Angle Search for Planets ( Also known as SuperWASP
Array of 8 Wide Field Cameras
Field of View: 7.8o x 7.8o
13.7 arcseconds/pixel
Typical magnitude: V = 9-13
2 sites: La Palma, South Africa
65 transiting planets discovered so far
In a field of stars WASP finds 12 candidates for a rate of 1 in stars. If 10% are real planets the rate is 1 planet for every

17. The First WASP Planet

18. Coordinates
RA 00:20:40.07
Dec +31:59:23.7
Constellation
Pegasus
Apparent Visual Magnitude
11.79
Distance from Earth
1234 Light Years
WASP-1 Spectral Type
F7V
WASP-1 Photospheric Temperature
6200 K
WASP-1b Radius
1.39 Jupiter Radii
WASP-1b Mass
0.85 Jupiter Masses
Orbital Distance AU
Orbital Period
2.52 Days
Atmospheric Temperature
1800 K
Mid-point of Transit
HJD

19. WASP 12b: The Hottest Transiting Giant Planet
High quality light curve for accurate parameters
Discovery data
Orbital Period: 1.09 d
Transit duration: 2.6 hrs
Planet Mass: 1.41 MJupiter
Planet Radius: 1.79 RJupiter
Planet Temperature: 2516 K
Spectral Type of Host Star: F7 V
Doppler confirmation

20. Comparison of WASP 12 to an M8 Main Sequence Star
Planet Mass: 1.41 MJupiter
Planet Radius: 1.79 RJupiter
Planet Temperature: 2516 K
Mass: 60 MJupiter
Radius: ~1 RJupiter
Teff: ~ 2800 K
WASP 12 has a smaller mass, larger radius, and comparable effective temperature than an M8 dwarf. Its atmosphere should look like an M9 dwarf or L0 brown dwarf. One difference: above temperature for the planet is only on the day side because the planet does not generate its own energy

21. Although WASP-33b is closer to the planet than WASP-12 it is not as hot because the host star is cooler (4400 K) and it has a smaller radius

22. GJ 436: The First Transiting Neptune
Host Star:
Mass = 0.4 Mסּ (M2.5 V)
Butler et al. 2004

23. Special Transits: GJ 436 Butler et al. 2004
„Photometric transits of the planet across the star are ruled out for gas giant compositions and are also unlikely for solid compositions“

24. The First Transiting Hot Neptune!
Gillon et al. 2007

25. GJ 436 Star Stellar mass [ Mסּ ] 0.44 ( ± 0.04) Planet Period [days]
Stellar mass [  Mסּ  ]
0.44 (  ± 0.04)  
Planet
Period [days]
±    
Eccentricity
0.16 ±    
Orbital inclination
  0.2
Planet mass [ ME  ]
22.6 ±   1.9
Planet radius [ RE  ]
Mean density = 1.95 gm cm–3, slightly higher than Neptune (1.64)

26. HD 17156: An eccentric orbit planet
M = 3.11 MJup
Probability of a transit ~ 3%

27. Barbieri et al. 2007
R = 0.96 RJup
Mean density = 4.88 gm/cm3
Mean for M2 star ≈ 4.3 gm/cm3

28. r = 4.44 (cgs)
R = 1.03 RJup
HD 80606: Long period and eccentric
a = 0.45 AU
dmin = 0.03 AU dmax = 0.87 AU
Probability of having a favorable orbital orientation is only 1%!

29. MEarth-1b: A transiting Superearth
D Charbonneau et al. Nature 462, (2009) doi: /nature08679

30. Change in radial velocity of GJ1214.
D Charbonneau et al. Nature 462, (2009) doi: /nature08679

31. = 1.87 (cgs)
Neptune like

32. So what do all of these transiting planets tell us?
5.5 gm/cm3
r = 1.25 gm/cm3
1.6 gm/cm3
r = 1.24 gm/cm3
r = 0.62 gm/cm3

33. The density is the first indication of the internal structure of the exoplanet
Solar System Object
r (gm cm–3)
Mercury
5.43
Venus
5.24
Earth
5.52
Mars
3.94
Jupiter
1.24
Saturn
0.62
Uranus
1.25
Neptune
1.64
Pluto 2
Moon
3.34
Carbonaceous Meteorites
2–3.5
Iron Meteorites
7–8
Comets
Rocks
He/H
Ice

34. Masses and radii of transiting planets.
H/He dominated
Pure H20
75% H20, 22% Si
67.5% Si mantle
32.5% Fe
(earth-like)
GJ 1214b is shown as a red filled circle (the 1σ uncertainties correspond to the size of the symbol), and the other known transiting planets are shown as open red circles. The eight planets of the Solar System are shown as black diamonds. GJ 1214b and CoRoT-7b are the only extrasolar planets with both well-determined masses and radii for which the values are less than those for the ice giants of the Solar System. Despite their indistinguishable masses, these two planets probably have very different compositions. Predicted16 radii as a function of mass are shown for assumed compositions of H/He (solid line), pure H2O (dashed line), a hypothetical16 water-dominated world (75% H2O, 22% Si and 3% Fe core; dotted line) and Earth-like (67.5% Si mantle and a 32.5% Fe core; dot-dashed line). The radius of GJ 1214b lies 0.49 ± 0.13 R⊕ above the water-world curve, indicating that even if the planet is predominantly water in composition, it probably has a substantial gaseous envelope
D Charbonneau et al. Nature 462, (2009) doi: /nature08679

35. Take your favorite composition and calculate the mass-radius relationship

36. HD 149026: A planet with a large core
Sato et al. 2005
Period = 2.87 d
Rp = 0.7 RJup
Mp = 0.36 MJup
Mean density = 2.8 gm/cm3

37. 10-13 Mearth core
~70 Mearth core mass is difficult to form with gravitational instability.
HD b provides strong support for the core accretion theory
Rp = 0.7 RJup
Mp = 0.36 MJup
Mean density = 2.8 gm/cm3

38. Lower bound
r = 0.15 gm cm–3
Upper bound
r = 3 gm cm–3

39. Planet Radius
Most transiting planets tend to be inflated. Approximately 68% of all transiting planets have radii larger than 1.1 RJup.

40. Possible Explanations for the Large Radii
Irradiation from the star heats the planet and slows its contraction it thus will appear „younger“ than it is and have a larger radius
Models I, C, and D are for isolated planets
Models A and B are for irradiated planets.

41. There is a slight correlation of radius with planet temperature (r = 0

42. Possible Explanations for the Large Radii
Slight orbital eccentricity (difficult to measure) causes tidal heating of core → larger radius
Slight Problem:
HD 17156b: e=0.68
R = 1.02 RJup
HD 80606b: e=0.93
R = 0.92 RJup
CoRoT 10b: e=0.53
R = 0.97RJup
Caveat: These planets all have masses 3-4 MJup, so it may be the smaller radius is just due to the larger mass.
We do not know what is going on.

43. Density Distribution S
J/U N
Number
Density (cgs)

44. Comparison of Mean Densities of eccentric planets
Giant Planets with M < 2 MJup : 0.78 cgs
HD 17156, P = 21 d, e= 0.68 M = 3.2 MJup, density = 4.8
HD 80606, P = 111 d, e=0.93, M = 3.9 MJup, density = 4.4
CoRoT 10b, P=13.2, e= 0.53, M = 2.7 MJup, density = 3.7
The three eccentric transiting planets have high mass and high densities. Formed by mergers?

45. Period Distribution for short period Exoplanets
p = probability of a favorable orbit
p = 7%
Number
Period (Days)

46. Both RV and Transit Searches show a peak in the Period at 3 days
The ≈ 3 day period may mark the inner edge of the proto-planetary disk

47. Mass-Radius Relationship
Radius (RJ)
Mass (MJ)
Radius is roughly independent of mass, until you get to small planets (rocks)

48. CoRoT-3b : Radius = Jupiter, Mass = 21.6 Jupiter
OGLE-TR-133b
CoRoT-3b
CoRoT-3b : Radius = Jupiter, Mass = 21.6 Jupiter
CoRoT-1b : Radius = 1.5 Jupiter, Mass = 1 Jupiter
OGLE-TR-133b: Radius = 1.33 Jupiter, Mass = 85 Jupiter
Modified From H. Rauer

49. Planet Mass Distribution
RV Planets
Close in planets tend to have lower mass, as we have seen before.
Transiting Planets

50. Metallicity Distribution Number
[Fe/H]
[Fe/H]
Doppler result: Recall that stars with higher metal content seem to have a higher frequency of planets. This is not seen in transiting planets.

51. Host Star Mass Distribution
Transiting Planets
Number
RV Planets
Stellar Mass (solar units)

52. Stellar Magnitude distribution of Exoplanet Discoveries
Percent
V- magnitude

53. Summary of Global Properties of Transiting Planets
Transiting giant planets (close-in) tend to have inflated radii (much larger than Jupiter)
A significant fraction of transiting giant planets are found around early-type stars with masses ≈ 1.3 Msun.
There appears to be no metallicity-planet connection among transiting planets or at most a weak one.
The period distribution of close-in planets peaks around P ≈ 3 days for both RV and transit discovered planets.
Most transiting giant planets have densities near that of Saturn. It is not known if this is due to their close proximity to the star (i.e. inflated radius)
Transiting planets have been discovered around stars fainter than those from radial velocity surveys

54. Early indications are that the host stars of transiting planets have slightly different properties than non-transiting planets.
Most likely explanation: Transit searches are not as biased as radial velocity searches. One looks for transits around all stars in a field, these are not pre-selected. The only bias comes with which ones are followed up with Doppler measurements
Caveat: Transit searches are biased against smaller stars. i.e. the larger the star the higher probability that it transits

55. Spectroscopic Transits: The Rossiter-McClaughlin Effect

56. The Rossiter-McClaughlin Effect2 4 1 3 +v 1 4 2 –v 3
The R-M effect occurs in eclipsing systems when the companion crosses in front of the star. This creates a distortion in the normal radial velocity of the star. This occurs at point 2 in the orbit.

57. The Rossiter-McLaughlin Effect in an Eclipsing Binary
From Holger Lehmann

58. The effect was discovered in 1924 independently by Rossiter and McClaughlin
Curves show Radial Velocity after removing the binary orbital motion

60. Spectral Type Vequator (km/s) O5 190 B0 200 B5 210 A0 A5 160 F0 95 F5
Average rotational velocities in main sequence stars
Spectral Type
Vequator (km/s) O5
190 B0
200 B5
210 A0 A5
160 F0 95 F5 25 G0 12

61. The Rossiter-McClaughlin Effect–v +v
When the companion covers the receeding portion of the star, you see more negatve velocities of the star rotating towards you. You thus see a displacement to negative RV. –v +v
As the companion cosses the star the observed radial velocity goes from + to – (as the planet moves towards you the star is moving away). The companion covers part of the star that is rotating towards you. You see more possitive velocities from the receeding portion of the star) you thus see a displacement to + RV.

62. The Rossiter-McClaughlin Effect
What can the RM effect tell you?
1) The orbital inclination or impact parameter a a2
Planet

63. The Rossiter-McClaughlin Effect
2) The direction of the orbit
Planet b

64. The Rossiter-McClaughlin Effect
2) The alignment of the orbit c d
Planet

65. l What can the RM effect tell you? 3. Are the spin axes aligned?
Orbital plane l
What can the RM effect tell you?
3. Are the spin axes aligned?

66. Summary of Rossiter-McClaughlin „Tracks“

67. ( ) ( ) ( ) Vs r RJup R Rסּ ARV = 52.8 m s–1
Amplitude of the R-M effect: Vs
5 km s–1 ( ) r
RJup ( ) 2 R Rסּ ( ) –2
ARV =
52.8 m s–1
ARV is amplitude after removal of orbital mostion
Vs is rotational velocity of star in km s–1
r is radius of planet in Jupiter radii
R is stellar radius in solar radii
Note:
The Magnitude of the R-M effect depends on the radius of the planet and not its mass.
The R-M effect is proportional to the rotational velocity of the star. If the star has little rotation, it will not show a R-M effect.

68. HD
l = –0.1 ± 2.4 deg

69. HD
l = –1.4 ± 1.1 deg

70. HD
Best candidate for misalignment is HD because of the high eccentricity

71. On the Origin of the High Eccentricities
Two possible explanations for the high eccentricities seen in exoplanet orbits:
Scattering by multiple giant planets
Kozai mechanism

72. Planet-Planet Interactions
Initially you have two giant planets in circular orbits
These interact gravitationally. One is ejected and the remaining planet is in an eccentric orbit

73. Kozai Mechanism Two stars are in long period orbits around each other.
A planet is in a shorter period orbit around one star.
If the orbit of the planet is inclined, the outer planet can „pump up“ the eccentricity of the planet. Planets can go from circular to eccentric orbits.

74. If either mechanism is at work, then we should expect that planets in eccentric orbits not have the spin axis aligned with the stellar rotation. This can be checked with transiting planets in eccentric orbits
Winn et al. 2007: HD b (alias HAT-P-2b)
Spin axes are aligned within 14 degrees (error of measurement). No support for Kozai mechanism or scattering

75. What about HD 17156?
Narita et al. (2007) reported a large (62 ± 25 degree) misalignment between planet orbit and star spin axes!

76. Cochran et al. 2008: l = 9.3 ± 9.3 degrees → No misalignment!

77. XO-3-b

78. Hebrard et al. 2008
l = 70 degrees

79. Winn et al. (2009) recent R-M measurements for X0-3
l = 37 degrees

80. Fabricky & Winn, 2009, ApJ, 696, 1230

81. HAT-P7
l = 182 deg!
l = 182 deg!

82. HD 80606

83. l = deg

84. Lambda ~ 80 deg!
HARPS data : F. Bouchy Model fit: F. Pont

87. Distribution of spin-orbit axes
Red: retrograde orbits

88. l (deg) 35% of Short Period Exoplanets show significant misalignments
~10-20% of Short Period Exoplanets are in retrograde orbits
Basically all angles are covered

89. 2.

90. The Rossiter-McLaughlin Effect or „Rotation Effect“
For rapidly rotating stars you can „see“ the planet in the spectral line

91. For stars whose spectral line profiles are dominated by rotational broadening there is a one to one mapping between location on the star and location in the line profile:
V = –Vrot
V = +Vrot
V = 0

92. A „Doppler Image“ of a Planet
Prograde orbit
Retrograd orbit
For slowly rotationg stars you do not see the distortion, but you measure a radial velocity displacement due to the distortion.

93. HD = WASP-33
No RV variations are seen. A companion of radius 1.5 RJup is either a planet, brown dwarf, or low mass star. The RV variations exclude BD and stellar companion.

94. The Line Profile Variations of HD 15082 = WASP-33
Pulsations

96. Summary
There are 2 ways from spectroscopy to measure the angle between the spin axis and the orbital axis of the star:
Rossiter-McClaughlin effect (most successful)
Doppler tomography
No technique can give you the mass
Exoplanets show all possible obliquity angles, but most are aligned (even in eccentric orbits)
Implications for planet formation (problems for migration theory)