M dwarf systems compared
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Located at a distance of only 4.7 parsecs (15.4 light years) in the constellation Aquarius, Gliese 876 – usually abbreviated GJ 876 – is an ordinary red dwarf of spectral type M4. Roughly one-third the size and mass of our Sun, this star is notable as the first M dwarf to be identified as the host of a planetary system. Since 1998, three planets have been discovered in short-period orbits around the central star: two gas giants and one Hot Super Earth (Marcy et al. 1998, Marcy et al. 2001, Rivera et al. 2005). Studies over the past dozen years have clarified the host star’s basic parameters. For the mass of GJ 876, Alexandre Correia and colleagues provide a value of 0.34 MSOL (Correia et al. 2010), almost identical to the 0.33 MSOL assumed by Eugenio Rivera and colleagues (Rivera et al. 2005). Its luminosity is estimated by Correia’s group as 1.3% Solar, which is typical for M dwarfs in this mass range. The star’s metal content or [Fe/H] has been a matter of disagreement, with estimates ranging from a low of -0.40 to a high of +0.37 (Bailey et al. 2009, Johnson & Apps 2009). In this case, the high-end value proposed by Johnson & Apps in their 2009 study has rapidly gained favor (see, e.g., Greg Laughlin’s blog entry for Red Dwarf Metallicities). Thus GJ 876 appears to be one of the most metal-rich M dwarfs known to harbor a planetary system. The star’s age remains the most difficult parameter to constrain. Correia’s group observe that GJ 876 displays modest magnetic activity and rotates quite slowly, with a period of about 97 days (Rivera et al. 2005) – almost quadruple the Sun’s period of 25 days. Despite these indications of stellar maturity, they provide a minimum age of only 100 million years, and a maximum of 5 billion years (virtually the same age as our Sun), primarily on the basis of the star’s orbital motion around the Galactic Center. system architecture The architecture of the GJ 876 system is remarkable for two reasons. First, it remains the only M dwarf known to host two gas giants. Although additional two-giant systems are likely to be revealed around other red dwarfs in the near future, given the presence of long-term radial velocity trends for such stars as GJ 317 and GJ 849 (Wright et al. 2009), it is still true that 45% of the known M dwarf systems lack any gas giants whatsoever. This dearth contrasts sharply with the situation for host stars in the mass range of our Sun (0.9-1.1 MSOL), among which 95% harbor at least one gas giant.
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M dwarf systems discussed
Evolution of planetary systems
Crowded orbits
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Second, the system’s two giants exhibit an unusual orbital behavior with the potential to reveal a great deal about their evolutionary origin. In astronomical terms, these two planets are “locked deep in a 2:1 mean motion resonance,” and are further engaged in a secular resonance. Several objects in the Solar System are also engaged in mean motion and secular resonances, including three of Jupiter’s largest moons as well as the planet/dwarf planet pair Neptune and Pluto. In the case of GJ 876, these resonances indicate that the outermost planet, “b,” completes one orbit for every two orbits of the middle planet, “c.” In addition, whenever planet b arrives at its nearest approach to the central star (i.e., periastron), it is also closely aligned with the periastron of planet c (Lee & Peale 2002, Beauge et al. 2006, Correia et al. 2010). Various authors have described the latter behavior in terms of “apsidal alignment” and “apsidal corotation” (Laughlin et al. 2005, Beauge et al. 2008). GJ 876 was the first exoplanetary system in which a mean motion resonance was demonstrated, and it remains the best-studied example of this behavior outside our Solar System. The dynamic relationship shared by GJ 876 b and c could not exist if the two planets simply formed at their present locations, without any shared orbital evolution (Lee & Peale 2002). This system therefore furnishes excellent evidence for the hypothesis of Type II migration, which argues that gas giant planets are subject to incremental displacement from larger to smaller semimajor axes through interactions with the primordial gas nebula. The system’s resonant architecture also implies that the two planets perturb each other’s motion so strongly that their orbits change rapidly over time (Laughlin & Chambers 2001). Continuing observations therefore result in ever more precise determinations of key system parameters. Now that investigations of GJ 876 have extended over two decades, using increasingly sensitive instrumentation, our understanding of this system has vastly improved. A number of recent studies agree that we see the orbits of the two gas giants at an angle of about 50 degrees against the plane of the sky (Rivera et al. 2005, Bean et al. 2009, Correia et al. 2010). This information enables us to calculate their true masses, a degree of precision otherwise unavailable for exoplanets except in the rare cases where we observe them in transit across the face of their host stars. three planets The three detected planets of GJ 876 orbit close to the central star in a region that extends from about 0.02 AU to 0.21 AU – a span of less than 29 million kilometers (18 million miles), substantially smaller than the average separation of Mercury from the Sun. All three planets most likely originated at greater distances and migrated inward to their present locations. The following discussion assumes the system parameters presented by Correia et al. (2010).
The orbits of both giant planets around GJ 876 approximately coincide with the system's habitable zone (Rivera & Haghighipour 2007), indicating that both may be cool enough to support water clouds in their dense atmospheres. The gravitational influence of the host star might have prevented either planet from maintaining a system of satellites or rings. However, one study suggests that GJ 876 b might sustain moons even as massive as Earth (Barnes & O'Brien 2002). Such heavy companions would be conceivable only if they were captured by the host planet, since theories of satellite formation place strict constraints on the maximum size of co-formed moons (Canup & Ward 2006). Objects in the mass range of the Galilean satellites of Jupiter (perhaps up to the mass of Mercury) may be more likely -- if indeed any moons at all are possible. Two studies over the past several years have identified a region of dynamic stability just inside the orbit of GJ 876 c, where a terrestrial-mass planet might survive after being captured in a 2:1 mean motion resonance with planet c and a 4:1 resonance with planet b (Laughlin et al. 2005, Correia et al. 2010). With a proposed semimajor axis of 0.08 AU and an orbital period of 15 days, this hypothetical planet might be responsible for the unexpected eccentricity of GJ 876 d through gravitational perturbations of the innermost planet's orbit (Correia et al. 2010). Correia's group notes that such a planet would be detectable by a dedicated search using the most sensitive of currently available technologies. from dusty clouds to gas giants (in progress) The aggregate mass of the system’s three planets (3.5 MJUP) substantially exceeds that of the eight planets of the Solar System (less than 1.5 MJUP), even if we include Pluto and all 150+ moons. The best explanation for GJ 876's large planetic endowment seems to be an inordinately massive protoplanetary nebula, since heavyweight nebulae are predicted to yield heavyweight planets (Thommes et al. 2008). As Greg Laughlin and colleagues concluded, "Standard core accretion theory predicts that systems such as GJ 876 are drawn from the extreme high-mass end of the circumstellar disk mass distribution, and will thus be intrinsically rare" among M dwarf systems (Laughlin et al. 2004). The innermost planet probably formed as a consequence of the inward migration of the two outer planets, which entered into the 2:1 mean motion resonance as they spiraled through the primordial gas disk of GJ 876. Gravitational perturbations by these two planets forced rocky planetesimals in the inner disk to clump inside the shrinking radius of the second planet’s orbit, where the planetesimals underwent ejections, collisions, and accretion (Fogg & Nelson 2005, Raymond et al. 2006b, Mandell et al. 2007). The ultimate result was the hot Super Earth that we now detect.
Last update February 2010
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All text is copyright Raymond Harris 2006-2010 |