Holt-Rossiter-McLaughlin Encyclopaedia (70 planets with measured spin-orbit alignment published so far, 29 of which show substantial misalignments in at least one publication)

Planet [EPE link] Spin-orbit alignment λ ≡ -β Error ADS references


CoRoT-1b 77° ±11° Pont et al. (2010)
CoRoT-2b[1],[2] 7.2° / -1° / 4.7° ±4.5° / (+6°, -7.7°) / ±12.3° Bouchy et al. (2008), Czesla et al. (2012), Nutzman et al. (2012)
CoRoT-3b -37.6° (+22.3°, -10°, ) Triaud et al. (2009)
CoRoT-11b ≈ 0° / 0.1° / ± 2.6° Gandolfi et al. (2010), Gandolfi et al. (2012)
CoRoT-18b -10° ±20° Hébrard et al. (2011)
CoRoT-19b -52° (+27°, -22°, ) Guenther et al. (2012)
Fomalhaut b[3] ±3.3° Le Bouquin et al. (2009)
Hat-P-1b 3.7° ±2.1° Johnson et al. (2008)
Hat-P-2b / HD147506b 1.2° / 0.2° / 9° ±13.4° / (+12.2°, -12.5°) / ±10° Winn et al. (2007), Loeillet et al. (2008), Albrecht et al. (2012)
Hat-P-4b -4.9° ±11.9° Winn et al. (2011)
Hat-P-6b 166° / 165° ±10° / ±6° Hébrard et al. (2011), Albrecht et al. (2012)
Hat-P-7b 182.5° / -132.6° / 155° ±9.4° / (+10.5°, -16.3°) / ±37° Winn et al. (2009), Narita et al. (2009), Albrecht et al. (2012)
Hat-P-8b -9.7° / -17° (+9.0° -7.7° / +9.2° -11.5°) Simpson et al. (2011), Moutou et al. (2011)
Hat-P-9b -16° ±8° Moutou et al. (2011)
Hat-P-11b[4] 103° / 103° / 106° / 97° (+22° -18°) / (+26° -10°) / (+15° - 11°) / (+8° - 4°) Hirano et al. (2011), Winn et al. (2010), Sanchis-Ojeda et al. (2011), Sanchis-Ojeda et al. (2011)
Hat-P-13b +1.9° ±8.6° Winn et al. (2010)
Hat-P-14b 189.1° ±5.1° Winn et al. (2011)
Hat-P-16b -10° / -2° ±16° / (+55° -46°) Moutou et al. (2011), Albrecht et al. (2012)
Hat-P-17b 19° (+14° -16°) Fulton et al. (2013)
Hat-P-23b 15° ±22° Moutou et al. (2011)
Hat-P-24b 20° ±16° Albrecht et al. (2012)
Hat-P-27b / WASP-40b 24.2° (+76.° -44.5°) Brown et al. (2012)
Hat-P-30b 73.5° ±9.0° Johnson et al. (2011)
Hat-P-32b 85° ±1.5° Albrecht et al. (2012)
Hat-P-34b ±14° Albrecht et al. (2012)
HD149026b -12° / 12° ±15° / ±7° Wolf et al. (2007), Albrecht et al. (2012)
HD17156b[5] 9.4° / 62.5° / 10° ±9.3° / ±25° / ±5.1° Cochran et al. (2008), Narita et al. (2008), Narita et al. (2009)
HD189733b -1.4° / -0.85° ±1.1° / (+0.28° -0.32°) Winn et al. (2006), Triaud et al. (2009)
HD209458b 3.9° / -4.4° / -5° (+18° -21°) / ±1.4° / ±7° Queloz et al. (2000), Winn et al. (2005), Albrecht et al. (2012)
HD80606b ≈ 63° / 59° / ≈ 50° / 59.5° / 42° / (+28° -18°) / / ±27.5° / ±8° Moutou et al. (2009), Gillon (2009), Pont et al. (2009), Winn et al. (2009), Hébrard et al. (2010)
Kepler-8b -26.4° / 5° ±10.1° / ±7° Jenkins et al. (2010), Albrecht et al. (2012)
Kepler-16(AB)b[6] 1.6° ±2.4° Winn et al. (2011)
Kepler-17b[7] < 15° Désert et al. (2011)
Kepler-25b ±5° Albrecht et al. (2013)
Kepler-30b < 10° Sanchis-Ojeda et al. (2013)
KOI-13.01 [8] 56° ±4° Barnes et al. (2011)
KOI-94.01 -6° / -14 (+ 13° -11°) / ±13° Hirano et al. (2012), Albrecht et al. (2013)
Qatar-1 -8.4° ±7.1° Covino et al. (2013)
TrES-1 30° ±21° Narita et al. (2007)
TrES-2 -9° ±12° Winn et al. (2008)
TrES-4 6.3° ±4.7° Narita et al. (2010)
Venus[9] 3.86° (adopted, not measured) Molaro et al. (2013)
WASP-1b[10] -79° (+4.5° -4.3°) Simpson et al. (2011)
WASP-2b[10] -153° (+15° -11°) Triaud et al. (2010)
WASP-3b 13° / 3.3° / 5° (+9° -7°) / (+2.5° -4.4°) / (+6° -5°) Simpson et al. (2010), Tripathi et al. (2010), Miller et al. (2010)
WASP-4b 4° / -1° (+34° -43°) / (+14° -12°) Triaud et al. (2010) , Sanchis-Ojeda et al. (2011)
WASP-5b 12.1° (+8.0° -10.0°) Triaud et al. (2010)
WASP-6b -11° (+18° -14°) Gillon et al. (2009)
WASP-7b 86° ±6° Albrecht et al. (2012)
WASP-8b -123.3° (+3.4° -4.4°) Queloz et al. (2010)
WASP-12b 59° (+15° -20°) Albrecht et al. (2012)
WASP-14b -14° / -33.1° (+21° -13°) / ±7.4° Johnson et al. (2009) Joshi et al. (2009)
WASP-15b -139.6° (+4.3° -5.2°) Triaud et al. (2010)
WASP-16b -4.2° / 11° (+11.0° -13.9°) / (+26° -19°) Brown et al. (2012), Albrecht et al. (2012)
WASP-17b -148.5° / ≈ -150° / 167.4° (+4.2° -5.1°) / / ±11.2° Triaud et al. (2010) , Anderson et al. (2010), Bayliss et al. (2010)
WASP-18b 4.0° / 13° (+5.0° -5.0°) / ±7° Triaud et al. (2010) Albrecht et al. (2012)
WASP-19b 4.6° / 15° ±5.2° / ±11° Hellier et al. (2011) , Albrecht et al. (2012)
WASP-22b 22° ±16° Anderson et al. (2011)
WASP-24b -4.7° ±4° Simpson et al. (2011)
WASP-25b 14.6° ±6.7° Brown et al. (2012)
WASP-26b -34° (+36° -26°) Albrecht et al. (2012)
WASP-31b 2.8° / 6° ±3.1° / ±6° Brown et al. (2012), Albrecht et al. (2012)
WASP-32b 10.5° (+6.4° -6.5°) Brown et al. (2012)
WASP-33b 251.6° ±0.7° Cameron et al. (2010)
WASP-38b 15° / 7.5° (+33° -43°) / (+4.7° -6.1°) Simpson et al. (2011), Brown et al. (2012)
WASP-52b 24° (+17° -9°) Hébrard et al. (2013)
WASP-71b 20.1° ±9.7° Smith et al. (2013)
WASP-80b 75° ±4° Triaud et al. (2013)
XO-3b 70° / 37.3° / 37.3° ±15° / ±3.7° / ±3.0° Hébrard et al. (2008), Winn et al. (2009), Hirano et al. (2011)
XO-4b -46.7° (+8.1° -6.1°) Narita et al. (2010)


[1] The study of Czesla et al. (2012) provides the first measurement ever of a chromospheric Rossiter-McLaughlin effect, showing that the chromosphere of CoRoT-2 has a scale of about 105 km.

[2] Nutzman et al. (2012) where the first to use star spots for the measurement of the spin-orbit misalignment. Advantageously, their method can be used to derive the true geometry and not only the sky-projection.

[3] The position angle of the star Fomalhaut was measured to be 65° (±3°), while the disk angle was observed to be 156° (±0.3°). Thus, the stellar rotation axis is almost perfectly perpendicular to the disk plane. So far, no planet of this system shows transits.

[4] A set of two solutions for the stellar obliquity of Hat-P-11 is given in Sanchis-Ojeda et al. (2011).

[5] The Narita et al. (2009) results formally supersede those by Narita et al. (2008).

[6] Planet Kepler-16(AB)b orbits a stellar binary. The measurements of Winn et al. (2011) were taken during the transit of the secondary star (B) in front of the primary star (A).

[7] Désert et al. (2011) determined the maximum stellar obliquity from observations of the stellar spots occasionally being occulted by the planet.

[8] This misalignment between the stellar spin and the planetary orbit plane was the first to be determined by gravity darkening in the transit light curve. It is not the sky-projected but the true angle (in literature called 'obliquity', ψ). However, the light curve is also compatible with a retrograde orbit of 124° (±4°).

[9] While the HRM effect during the transit of Venus in front of the Sun on June 6, 2012 has been observed, it has not been determined by those observations. The sky-projected spin-orbit misalignment had been known before.

[10] Further constraints on the obliquities of WASP-1b and WASP-2b, some of them contradicting the conclusions from the authors given above, are given by Albrecht et al. (2011).

Angles are given in terms of λ as defined in Ohta et al. (2005). It is sometimes confused with the angle β ≡ -λ, as defined by Hosokawa (1953) and Giménez et al. (2006). Howsoever, in a physical sense the definition of the algebraic sign is arbitrary. Among the systems listed above, those with substantial misalignments (> π/8 = 22.5°) are marked in bold, but pay attention to the errors!

The analysis of the Holt-Rossiter-McLaughlin effect of WASP-23b, given by Triaud et al. (2011), is not listed above since their data yields ambiguous results about the sky-projected spin-orbit misalignment.

Helpful résumés of spin-orbit measurements and the Rossiter-McLaughlin effect are given by Fabrycky & Winn (2009) and Pont et al. (2009). For a thorough description of the in-transit RV variation, the convective blueshift needs to be considered (Shporer and Brown 2011). An alternatve approach to measure the sky-projected spin-orbit misalignment is the inhomogeneous distribution of effective temperature on the star, induced by gravitational darkening on the star (Szabó et al. 2011).

This site makes intense use of the Extrasolar Planets Encyclopaedia and the SAO/NASA Astrophysics Data System (ADS). I thank Jean Schneider, Olivier Absil, Elaine Simpson, John Johnson, Yasushi Suto, Joshua Winn, Michael Perryman, and Alexis Smith for their helpful comments.

Questions, remarks and corrections are much appreciated. If you use this website for your publication, it would be kind to note "This study has made use of René Heller's Holt-Rossiter-McLaughlin Encyclopaedia (www.aip.de/People/RHeller)."

Download: HRM_encyclopaedia.txt


Historic literature on transits

Lardner, D., 1858, "Hand-Books of Natural Philosophy and Astronomy", Third Course, Blanchard and Lea, Philadelphia, Chp XXVII (as cited by Howell et al. 1999)

Holt, J. R., 1893, Astronomy and Astrophysics, XII, "Spectroscopic Determination of Stellar Rotation" [cover], [.pdf] (I found this prediction of the later Rossiter-McLaughlin effect, observed in 1924, when I was delving among historical books in the library of the Hamburger Sternwarte in 2009. So far, this paper is not listed on ADS. For reference, you may want to use this Holt_bibtex.bib citation as we used it in Heller et al. 2009.)

Schlesinger, F., 1910, PAllO, 1, 123 [ADS] (measurement of the later Rossiter-McLaughlin effect, observed 1924)

Rossiter, R. A., 1924, ApJ, 60, 15 [ADS]

McLaughlin, D. B., 1924, ApJ, 60, 22 [ADS]

Struve, O., 1952, The Observatory, 72, 199 [ADS] (on exoplanet detection)