e x t r a s o l a r     p l a n e t s




HD 40307 is a K2 star located 42 light years away in the direction of the southern constellation Pictor. It is notable for hosting three planets in the Super Earth range, but no gas giants. Such a system architecture is unusual among planetary systems so far known, as the vast majority (including our own) harbor at least one gas giant planet.

Among Sun-like stars with detected planets, HD 40307 falls near the bottom of the range in mass and especially metallicity. Its mass is 0.77 MSOL; its metallicity is -0.31; and its luminosity is only 24% Solar, making it even dimmer than Epsilon Eridani (all values Mayor et al. 2009). These parameters imply an original ice line located at about 2 AU, and a current liquid water zone centered around 0.5 AU. The star’s age is estimated as 2.6 to 7.7 billion years (Mayor et al. 2008, Barnes et al. 2009), so that its planetary system has had ample time to reach long-term physical and orbital stability. Given the absence of detectable debris, major asteroid and cometary impacts are probably rare.

three planets

The three planets orbiting HD 40307 are remarkable for their low mass, small semimajor axes, and circular orbits. All are located within an astrocentric radius that is less than half the size of the orbit of Mercury. (All values Mayor et al. 2009.)

Diagram of the HD 40307 system
Architecture of the HD 40307 system. Colored circles indicate the relative sizes of the 3 planets, assuming the minimum masses provided by Wright et al. 2009 and the mass-radius relationships provided by Fortney et al. 2007. Semimajor axes are indicated in astronomical units (AU) on a logarithmic scale. White dots mark the ice line.

  1. At 4.2 MEA, the inner planet, “b,” is one of the least massive objects so far detected by radial velocity observations. It travels in a “hot” orbit with a semimajor axis of about 0.05 AU and a period of 4.3 days.

  2. The middle planet, “c,” has a minimum mass of 6.8 MEA (similar to GJ 876 d, 55 Cancri e, and GJ 581 d), a semimajor axis of 0.08 AU, and a period of 9.6 days. Its small separation and short period place it on the cusp of the population of “hot” planets, which are often defined as those orbiting within 0.1 AU of their host star in 10 days or less.

  3. The outer planet, “d,” rounds out the trio with a minimum mass of 9.2 MEA (similar to GJ 674 b and HD 69830 b), a semimajor axis of 0.134 AU, and a period of 20.5 days. Like its two companions, it has an orbital eccentricity approaching zero.
Packed orbits






System architectures






Evolution of planetary systems






Index of exoplanetary topics
Index for this section

HD 40307 is thus the most compact of all known multi-planet systems. Its nearest rival is GJ 876, whose three planets travel within an astrocentric radius of 0.21 AU. By comparison, the semimajor axis of Mercury is 0.39 AU. The orbital configurations of the HD 40307 triplets are particularly intriguing, insofar as they narrowly avoid a three-way mean motion resonance in a period ratio of 4:2:1 (a relationship that is actually observed among the inner Galilean moons of Jupiter).

The low masses and short periods of these three planets raise interesting questions about their composition and formation history. The discovery team has provided minimum masses only, without specifying an upper limit, whether on dynamical grounds or otherwise. In two other systems harboring objects with minimum masses (m sin i) in the range of Super Earths, we are fortunate enough to have reasonable estimates of the planets’ orbital inclinations. Therefore, the true masses of these planets can be estimated. The inner planet of GJ 876 has m sin i = 5.89 MEA, corresponding to an actual mass of 7.5 MEA (Rivera et al. 2005), and the inner planet of 55 Cancri has m sin i = 10.8 MEA, with a true mass in the vicinity of 13.5 MEA (Fischer et al. 2008).

If the masses of the HD 40307 triplets require a similar augmentation, as appears likely, the outer planet would become an ice giant similar to Uranus, while the middle planet would approach the boundary between ice giants and terrestrial-mass planets. The inner planet, however, would remain a Super Earth.

evolutionary scenarios

The widely accepted theory of planet formation by accretion implies that these three planets did not assemble in situ, for the simple reason that insufficient solids would have been available at their birthplace to form such massive objects. Sean Raymond and colleagues estimate that, within a radius of 2 AU, a typical K-type star of 0.8 MSOL and zero metallicity would have only 2 MEA in solid protoplanets available at primordial times for accretion into planets (Raymond et al. 2007). Yet the combined mass of the HD 40307 triplets is at least 20 MEA, even if we consider only the minimum values, while the stellar metallicity is much lower than zero.

It seems far more likely, therefore, that these planets assembled beyond the ice line, where a large mass in frozen volatiles would have been available. According to Grant Kennedy and Scott Kenyon, the newly accreted objects would then travel inward to short-period orbits by Type I migration (Kennedy & Kenyon 2008b). In this scenario, all three planets would probably consist of about 50% primordial ices, like the Steam Planets envisioned by Franck Selsis and colleagues (2007).

A substantial mass in volatiles is also predicted by recent simulations of the system’s dynamical history. The work of Rory Barnes and colleagues demonstrates that rocky planets could not have achieved the orbital configuration observed around HD 40307, whereas planets similar in composition to Uranus are fully consistent with the implied dynamics (Barnes et al. 2009).

Regardless of its evolutionary history, the system of HD 40307 as currently understood bears a family resemblance to those of three other nearby stars, all of which are typical of the Solar neighborhood in terms of mass, metallicity, and spectral type: GJ 581, an M3 star with a mass of 0.32 MSOL and a metallicity of -0.26, hosting an ice giant and two Super Earths within 0.25 AU; GJ 876, an M4 star with a mass of 0.33 MSOL and a metallicity of +0.02 (metallicities Bailey et al. 2009), hosting a Super Earth and two gas giants within 0.21 AU; and HD 69830, a K0 star with a mass of 0.87 MSOL and a metallicity of -0.06 (Catalog of Nearby Exoplanets), hosting three ice giants within 0.63 AU.

HD 40307 falls along the same continuum in terms of its crowded system architecture, resembling most closely a slightly scaled-down version of HD 69830. See also Packed Orbits.

Last updated August 2009


References:

Bailey J, Butler RP, Tinney CG, Jones HRA, O'Toole S, Carter BD, Marcy GW. (2009) A Jupiter-like Planet Orbiting the Nearby M Dwarf GJ 832. Astrophysical Journal, 690: 743-747. Abstract.
Barnes R, Jackson B, Raymond SN, West AA, Greenberg R. (2009) The HD 40307 Planetary System: Super-Earths or Mini-Neptunes? Astrophysical Journal, 695: 1006-1011. Abstract.
Fischer DA, Marcy GW, Butler RP, Vogt SS, Laughlin G, Henry GW, Abouav D, Peek K, Wright JT, Johnson JA, McCarthy C, Isaacson H. (2008) Five planets orbiting 55 Cancri. Astrophysical Journal, 675: 790-801. Abstract.
Fortney JJ, Marley MS, Barnes JW. (2007) Planetary radii across five orders of magnitude in mass and stellar insolation: Application to transits. Astrophysical Journal, 659: 1661-1672. Abstract.
Kennedy GM, Kenyon SJ. (2008b) Planet formation around stars of various masses: Hot Super-Earths. Astrophysical Journal, 682: 1264-1276. Abstract.
Mayor M, Udry S, Lovis C, et al. (2009) The HARPS search for southern extra-solar planets. XIII. A planetary system with 3 Super-Earths (4.2, 6.9, & 9.2 Earth masses). Astronomy & Astrophysics, 493: 639-644. Abstract.
Raymond SN, Scalo J, Meadows VS. (2007) A decreased probability of habitable planet formation around low-mass stars. Astrophysical Journal, 669: 606-614.
Rivera E, Lissauer JL, Butler RP, et al. (2005) A ~7.5 MEARTH planet orbiting the nearby star, GJ 876. Astrophysical Journal, 634: 625-640.
Selsis F, Chazelas B, Borde P, et al. (2007) Could we identify hot Ocean-Planets with CoRoT, Kepler and Doppler velocimetry? Icarus, 191: 453-468. Abstract.
Wright JT, Upadhyay S, Marcy GW, Fischer DA, Ford EB, Johnson JA. (2009) Ten new and updated multi-planet systems, and a survey of exoplanetary systems. Astrophysical Journal, 693: 1084-1099. Abstract.




Planetary system of the nearby red dwarf GJ 581 Planetary system of the nearby red dwarf GJ 876 Planetary system of HD 40307 Planetary system of HD 181433 Planetary system and asteroid belt of HD 69830 Planetary system of HD 37124 The five planets of 55 Cancri, a yellow star with a red dwarf companion The four planets of Mu Arae, a Sun-like star The hot yellow star HD 74156 and its massive eccentric planets Planetary system of the hot yellow-white star Upsilon Andromedae




All text is copyright Raymond Harris 2006-2009