Frost line (astrophysics)
In
The term itself is borrowed from the notion of "frost line" in soil science, which describes the maximum depth from the surface that groundwater can freeze.
Each volatile substance has its own frost line (e.g. carbon monoxide,
Location
Different volatile compounds have different condensation temperatures at different partial pressures (thus different densities) in the protostar nebula, so their respective frost lines will differ. The actual temperature and distance for the snow line of water ice depend on the physical model used to calculate it and on the theoretical solar nebula model:
- 170 K at 2.7 AU (Hayashi, 1981)[4]
- 143 K at 3.2 AU to 150 K at 3 AU (Podolak and Zucker, 2010)[5]
- 3.1 AU (Martin and Livio, 2012)[6]
- ≈150 K for μm-size grains and ≈200 K for km-size bodies (D'Angelo and Podolak, 2015)[7]
Current snow line versus formation snow line
The radial position of the condensation/evaporation front varies over time, as the nebula evolves. Occasionally, the term snow line is also used to represent the present distance at which water ice can be stable (even under direct sunlight). This current snow line distance is different from the formation snow line distance during the formation of the Solar System, and approximately equals 5 AU.[8] The reason for the difference is that during the formation of the Solar System, the solar nebula was an opaque cloud where temperatures were lower close to the Sun,[citation needed] and the Sun itself was less energetic. After formation, the ice got buried by infalling dust and it has remained stable a few meters below the surface. If ice within 5 AU is exposed, e.g. by a crater, then it sublimates on short timescales. However, out of direct sunlight ice can remain stable on the surface of asteroids (and the Moon and Mercury) if it is located in permanently shadowed polar craters, where temperature may remain very low over the age of the Solar System (e.g. 30–40 K on the Moon).
Observations of the asteroid belt, located between Mars and Jupiter, suggest that the water snow line during formation of the Solar System was located within this region. The outer asteroids are icy C-class objects (e.g. Abe et al. 2000; Morbidelli et al. 2000) whereas the inner asteroid belt is largely devoid of water. This implies that when planetesimal formation occurred the snow line was located at around 2.7 AU from the Sun.[6]
For example, the dwarf planet Ceres with semi-major axis of 2.77 AU lies almost exactly on the lower estimation for water snow line during the formation of the Solar System. Ceres appears to have an icy mantle and may even have a water ocean below the surface.[9][10]
Planet formation
The lower temperature in the nebula beyond the frost line makes many more solid grains available for
Researchers Rebecca Martin and Mario Livio have proposed that asteroid belts may tend to form in the vicinity of the frost line, due to nearby giant planets disrupting planet formation inside their orbit. By analysing the temperature of warm dust found around some 90 stars, they concluded that the dust (and therefore possible asteroid belts) was typically found close to the frost line.[14] The underlying mechanism may be the thermal instability of snow line on the timescales of 1,000 - 10,000 years, resulting in periodic deposition of dust material in relatively narrow circumstellar rings.[15]
See also
- Circumstellar habitable zone
- Nebular hypothesis
- Solar nebula
References
- S2CID 23271440.
- .
- S2CID 202749962.
- ^ "Structure of the Solar Nebula, Growth and Decay of Magnetic Fields and Effects of Magnetic and Turbulent Viscosities on the Nebula by Chushiro Hayashi". Archived from the original on 2015-02-19.
- S2CID 55193644.
- ^ S2CID 54691025.
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- ISBN 978-0-8165-2654-3.
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- ^ O'Brien, D. P.; Travis, B. J.; Feldman, W. C.; Sykes, M. V.; Schenk, P. M.; Marchi, S.; Russell, C. T.; Raymond, C. A. (March 2015). "The Potential for Volcanism on Ceres due to Crustal Thickening and Pressurization of a Subsurface Ocean" (PDF). 46th Lunar and Planetary Science Conference. p. 2831. Retrieved 1 March 2015.
- ISBN 978-0-7167-1784-3.
- ^ Chambers, John (2007-07-01). "Planet Formation with Type I and Type II Migration". 38. AAS/Division of Dynamical Astronomy Meeting. Bibcode 2007DDA....38.0604C.
- ISBN 978-0-8165-2945-2.
- ^ "Asteroid Belts of Just the Right Size are Friendly to Life". NASA. 1 November 2012. Retrieved 3 November 2012.
- .