Circumbinary planet

Typical configuration of circumbinary planetary systems (not to scale), in which A and B are the primary and secondary star, while ABb denotes the circumbinary planet.
An artist's impression of the giant planet orbiting the binary system PSR B1620-26, which contains a pulsar and a white dwarf star and is located in the globular cluster M4.

A circumbinary planet is a planet that orbits two stars instead of one. Because of the short orbits of some binary stars, the only way for planets to form is by forming outside the orbit of the two stars.[1]

Observations and discoveries

Confirmed planets

PSR B1620-26

The first confirmed circumbinary extrasolar planet was found orbiting the system PSR B1620-26, which contains a millisecond pulsar and a white dwarf and is located in the globular cluster M4. The existence of the third body was first reported in 1993,[2] and was suggested to be a planet based on 5 years of observational data.[3] In 2003 the planet was characterised as being 2.5 times the mass of Jupiter in a low eccentricity orbit with a semimajor axis of 23 AU.[4]

HD 202206

The first circumbinary extrasolar planet around a main sequence star was found in 2005 in the system HD 202206: a Jupiter-size planet orbiting a system composed of a Sun-like star and a brown dwarf.[5]

HW Virginis

Announced in 2008, the eclipsing binary system HW Virginis, comprising a subdwarf B star and a red dwarf, was claimed to also host a planetary system. The claimed planets have masses at least 8.47 and 19.23 times that of Jupiter respectively, and were proposed to have orbital periods of 9 and 16 years. The proposed outer planet is sufficiently massive that it may be considered to be a brown dwarf under some definitions of the term,[6] but the discoverers claimed that the orbital configuration implies it would have formed like a planet from a circumbinary disc. Both planets may have accreted additional mass when the primary star lost material during its red giant phase.[7]

Further work on the system[8] showed that the orbits proposed for the candidate planets were catastrophically unstable on timescales far shorter than the age of the system. Indeed, the authors found that the system was so unstable that it simply cannot exist, with mean lifetimes of less than a thousand years across the whole range of plausible orbital solutions. Like other planetary systems proposed around similar evolved binary star systems, it seems likely that some mechanism other than claimed planets is responsible for the observed behaviour of the binary stars - and that the claimed planets simply do not exist.

Kepler-16

On 15 September 2011, astronomers, using data from NASA's Kepler spacecraft, announced the first partial-eclipse-based discovery of a circumbinary planet.[9][10] The planet, called Kepler-16b, is about 200 light years from Earth, in the constellation Cygnus, and is believed to be a frozen world of rock and gas, about the mass of Saturn. It orbits two stars that are also circling each other, one about two-thirds the size of our sun, the other about a fifth the size of our sun. Each orbit of the stars by the planet takes 229 days, while the planet orbits the system's center of mass every 225 days; the stars eclipse each other every three weeks or so.

Kepler-1647

A new planet, called Kepler-1647b, was announced on June 13, 2016. It was discovered using the Kepler telescope. The planet is a gas giant, similar in size to Jupiter, which makes it the largest circumbinary planet ever discovered. It is located in the stars' habitable zone, and it orbits the star system in 1107 days, which makes it the longest period of any confirmed transiting exoplanet so far.[11]

MXB 1658-298

A massive planet around this Low Mass X-ray Binary (LMXB)[12] system was found by the method of periodic delay in X-ray eclipses.

Other observations

An artist's impression of the binary star system HD 98800 B, which is surrounded by a disc that may be in the process of forming planets. HD 98800 B is itself a member of a quadruple star system.

Claims of a planet discovered via microlensing, orbiting the close binary pair MACHO-1997-BLG-41, were announced in 1999.[13] The planet was said to be in a wide orbit around the two red dwarf companions, but the claims were later retracted, as it turned out the detection could be better explained by the orbital motion of the binary stars themselves.[14]

Several attempts have been made to detect planets around the eclipsing binary system CM Draconis, itself part of the triple system GJ 630.1. The eclipsing binary has been surveyed for transiting planets, but no conclusive detections were made and eventually the existence of all the candidate planets was ruled out.[15][16] More recently, efforts have been made to detect variations in the timing of the eclipses of the stars caused by the reflex motion associated with an orbiting planet, but at present no discovery has been confirmed. The orbit of the binary stars is eccentric, which is unexpected for such a close binary as tidal forces ought to have circularised the orbit. This may indicate the presence of a massive planet or brown dwarf in orbit around the pair whose gravitational effects maintain the eccentricity of the binary.[17]

Circumbinary discs that may indicate processes of planet formation have been found around several stars, and are in fact common around binaries with separations less than 3 AU.[18][19] One notable example is in the HD 98800 system, which comprises two pairs of binary stars separated by around 34 AU. The binary subsystem HD 98800 B, which consists of two stars of 0.70 and 0.58 solar masses in a highly eccentric orbit with semimajor axis 0.983 AU, is surrounded by a complex dust disc that is being warped by the gravitational effects of the mutually-inclined and eccentric stellar orbits.[20][21] The other binary subsystem, HD 98800 A, is not associated with significant amounts of dust.[22]

System characteristics

The Kepler results indicate circumbinary planetary systems are relatively common (as of October 2013 the spacecraft had found seven planets out of roughly 1000 eclipsing binaries searched).

Stellar configuration

There is a wide range of stellar configurations for which circumbinary planets can exist. Primary star masses range from 0.69 to 1.53 solar masses (Kepler-16 A & PH1 Aa), star mass ratios from 1.03 to 3.76 (Kepler-34 & PH1), and binary eccentricity from 0.023 to 0.521 (Kepler-47 & Kepler-34). The distribution of planet eccentricities, range from nearly circular e=0.007 to a significant e=0.182 (Kepler-16 & Kepler-34). No orbital resonances with the binary have been found.[23]

Orbital dynamics

The binary stars Kepler-34 A and B have a highly eccentric orbit (e=0.521) around each other and their interaction with the planet is strong enough that a deviation from Kepler's laws is noticeable after just one orbit.[23]

Co-planarity

All Kepler circumbinary planets that were known as of August 2013 orbit their stars very close to the plane of the binary (in a prograde direction) which suggests a single-disk formation.[23] However, not all circumbinary planets are co-planar with the binary: Kepler-413b is tilted 2.5 degrees which may be due to the gravitational influence of other planets or a third star.[24][25] Taking into account the selection biases, the average mutual inclination between the planetary orbits and the stellar binaries is within ~3 degrees, consistent with the mutual inclinations of planets in multi-planetary systems.[26]

Axial tilt precession

The axial tilt of Kepler-413b's spin axis might vary by as much as 30 degrees over 11 years, leading to rapid and erratic changes in seasons.[25]

Migration

Simulations show that it is likely that all of the circumbinary planets known prior to a 2014 study migrated significantly from their formation location with the possible exception of Kepler-47(AB)c.[27]

Semi-major axes close to critical radius

The minimum stable star to circumbinary planet separation is about 2-4 times the binary star separation, or orbital period about 3-8 times the binary period. The innermost planets in all the Kepler circumbinary systems have been found orbiting close to this radius. The planets have semi-major axes that lie between 1.09 and 1.46 times this critical radius. The reason could be that migration might become inefficient near the critical radius, leaving planets just outside this radius.[23]

Recently, it has been found that the distribution of the innermost planetary semi-major axes is consistent with a log-uniform distribution, taking into account the selection biases, where closer-in planets can be detected more easily.[26] This questions the pile-up of planets near the stability limit as well as the dominance of planet migration.

Absence of planets around shorter period binaries

Most Kepler eclipsing binaries have periods less than 1 day but the shortest period of a Kepler eclipsing binary hosting a planet is 7.4 days (Kepler-47). The short-period binaries are unlikely to have formed in such a tight orbit and their lack of planets may be related to the mechanism that removed angular momentum allowing the stars to orbit so closely.[23] One exception is the planet around an X-ray binary MXB_1658-298, which has an orbital period of 7.1 hrs.

Planet size limit

As of June 2016, all but one of the confirmed Kepler circumbinary planets are smaller than Jupiter. This cannot be a selection effect because larger planets are easier to detect.[23] Simulations had predicted this would be the case.[28]

Habitability

All the Kepler circumbinary planets are either close to or actually in the habitable zone. None of them are terrestrial planets, but large moons of such planets could be habitable. Because of the stellar binarity, the insolation received by the planet will likely be time-varying in a way quite unlike the regular sunlight Earth receives.[23]

Transit Probability

Circumbinary planets are generally more likely to transit than planets around a single star. The probability when the planetary orbit overlaps with the stellar binary orbit has been obtained.[29] For planets orbiting eclipsing stellar binaries (such as the detected systems), the analytical expression of the transit probability in a finite observation time has been obtained.[26]

List of circumbinary planets

Confirmed circumbinary planets

No. Star system Planet Mass
(MJ)		 Semimajor axis
(AU)		 Orbital period
(days)		 Parameter

Ref.

 Discovered Discovery method NASA Exoplanet

Discovery Date

1 PSR B1620-26 b 2 ± 1 23 ~ 24,820 [30] 1993[3] Pulsar timing July 2003
2 HD 202206 c 2.179 2.4832 1397.445 ± 19.056 [31] 2005[5] Radial velocity September 2005
3 DP Leonis b 6.05 ± 0.47 8.19 ± 0.39 10,220 ± 730 [32] 2010[33] Eclipsing binary timing January 2010
4 NN Serpentis c 6.91 ± 0.54 5.38 ± 0.20 5,657.50 ± 164.25 [34] 2010[34] Eclipsing binary timing October 2010
5 NN Serpentis b 2.28 ± 0.38 3.39 ± 0.10 2,828.75 ± 127.75 [34] 2010[34] Eclipsing binary timing October 2010
6 Kepler-16 b 0.333 ± 0.016 0.7048 ± 0.0011 [35] 2011[35] Transit September 2011
7 Kepler-34 b 0.220 ± 0.0011 1.0896 ± 0.0009 [36] 2012[36] Transit January 2012
8 Kepler-35 b 0.127 ± 0.02 0.603 ± 0.001 [36] 2012[36] Transit January 2012
9 NY Virginis b 2.85 3.457 3073.3 [37] 2012[38] Eclipsing binary timing February 2012
10 RR Caeli b 4.2 ± 0.4 5.3 ± 0.6 4,343.5 ± 36.5 [39] 2012[39] Eclipsing binary timing May 2012
11 Kepler-38 b < 0.384 0.4644 ± 0.0082 [40] 2012[40] Transit October 2012
12 Kepler-47 b 0.027 ± 0.005 0.2956 ± 0.0047 [41] 2012[41] Transit September 2012
13 Kepler-47 c 0.07 ± 0.061 0.989 ± 0.016 [41] 2012[41] Transit September 2012
14 PH1 b < 0.532 0.634 ± 0.011 [42] 2013[42] Transit May 2013
15 ROXs 42B b 9 ± 3 140 ± 10 unknown [43] 2014[44] Imaging January 2014
16 HD 106906 b 11 ± 2 650 unknown [45][46] 2014 [A] Imaging January 2014
17 Kepler-413 b [47] 2014[47] Transit March 2014
18 Kepler-453 b < 0.05 0.7903 ± 0.0028 240.503 ± 0.053 [48] 2014[48] Transit September 2014
19 Kepler-1647 b 1.52 ± 0.65 2.7205 ± 0.0070 1107.5923 ± 0.0227 [49] 2016 Transit not published yet
20 OGLE-2007-BLG-349 b 0.25 ± 0.041 2.59 ? [50][51] 2016 Microlensing Published
21 MXB 1658-298 23.5 ± 3.0 1.6 ± 0.1 760 [52][53] 2017 Periodic delay in X-ray eclipses Published

A Planet was discovered in 2014, but the binarity of the host star was discovered in 2016.

Unconfirmed or doubtful

Star system Planet Mass
(MJ)		 Semimajor axis
(AU)		 Orbital period Parameter

Ref.

 Discovered Discovery method
MACHO-1997-BLG-41 b ~3 ~7 ? 1999
DT Virginis c 8.5 ± 2.5 1168 33081† 2010 Imaging
Kepler-47 d Unknown Unknown [54] 2013 Transit
FW Tauri b 10 ± 4 330 2013 Imaging

† Orbital period measurement might be in years and not days (not properly referenced).

A pair of planets around HD 202206 or a circumbinary planet?

HD 202206 is a Sun-like star orbited by two objects, one of 17 Mj and one of 2.4 Mj. The classification of HD 202206 b as a brown dwarf or "superplanet" is currently unclear. The two objects could have both formed in a protoplanetary disk with the inner one becoming a superplanet, or the outer planet could have formed in a circumbinary disk.[5] A dynamical analysis of the system further shows a 5:1 mean motion resonance between the planet and the brown dwarf.[55] These observations raise the question of how this system was formed, but numerical simulations show that a planet formed in a circumbinary disk can migrate inward until it is captured in resonance.[56]

Fiction

Circumbinary planets are common in many science fiction stories:

References

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  47. 1 2 Kostov, V. B.; McCullough, P. R.; Carter, J. A.; Deleuil, M.; Díaz, R. F.; Fabrycky, D. C.; Hébrard, G.; Hinse, T. C.; Mazeh, T. (2014-01-01). "Kepler-413b: A Slightly Misaligned, Neptune-size Transiting Circumbinary Planet". The Astrophysical Journal. 784 (1): 14. Bibcode:2014ApJ...784...14K. ISSN 0004-637X. doi:10.1088/0004-637X/784/1/14.
  48. 1 2 Welsh, William F.; Orosz, Jerome A.; Short, Donald R.; Cochran, William D.; Endl, Michael; Erik Brugamyer; Haghighipour, Nader; Buchhave, Lars A.; Doyle, Laurance R. (2015-01-01). "Kepler 453 b—The 10th Kepler Transiting Circumbinary Planet". The Astrophysical Journal. 809 (1): 26. Bibcode:2015ApJ...809...26W. ISSN 0004-637X. doi:10.1088/0004-637X/809/1/26.
  49. ↑ Kostov, Veselin B.; Orosz, Jerome A.; Welsh, William F.; Doyle, Laurance R.; Fabrycky, Daniel C.; Haghighipour, Nader; Quarles, Billy; Short, Donald R.; Cochran, William D. (2015-12-01). "Kepler-1647b: the largest and longest-period Kepler transiting circumbinary planet". arXiv:1512.00189 Freely accessible [astro-ph.EP].
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  51. ↑ http://arxiv.org/abs/1609.06720
  52. ↑ http://adsabs.harvard.edu/abs/2017MNRAS.468L.118J
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  54. ↑ Hinse, Tobias C.; Haghighipour, Nader; Kostov, Veselin B.; Goździewski, Krzysztof (2015-01-01). "Predicting a Third Planet in the Kepler-47 Circumbinary System". The Astrophysical Journal. 799 (1): 88. Bibcode:2015ApJ...799...88H. ISSN 0004-637X. doi:10.1088/0004-637X/799/1/88.
  55. ↑ Couetdic, J.; Laskar, J.; Correia, A. C. M.; Mayor, M.; Udry, S. (2010). "Dynamical stability analysis of the HD 202206 system and constraints to the planetary orbits". Astronomy and Astrophysics. 519 (A10): 14. Bibcode:2010A&A...519A..10C. arXiv:0911.1963 Freely accessible. doi:10.1051/0004-6361/200913635.
  56. ↑ Nelson, Richard P. (2003). "On the evolution of giant protoplanets forming in circumbinary discs". Monthly Notices of the Royal Astronomical Society. 345 (1): 233–242. Bibcode:2003MNRAS.345..233N. doi:10.1046/j.1365-8711.2003.06929.x.

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