The following is a short paper entitled The Origin of Titan's Atmosphere I wrote for a planetary physics class I took several years ago (1996, I think). I found it in my notebook recently when looking for something else and reread it. The professor liked it, so I present it to you for posterity.


1: Introduction

Titan is a unique object in our solar system. It is not only the second-largest satellite among the planets, but it also has the second-densest atmosphere of all the terrestrial planets and satellites, barring only Venus. Titan's atmosphere is primarily molecular nitrogen and methane, with trace amounts of other compounds including hydrocarbons and "smog," like the hydrocarbons that give the Jovian planets their color. In addition, Titan's atmosphere is very cold (about 100 kelvins), which not only keeps the rate of thermal escape of the atmosphere very low, but also keeps many other atmospheric constituents (or possible constituents) frozen on the surface. The presence of a significant atmosphere on Titan was suspected as early as the turn of this century, and confirmed by Kuiper by 1944. While the atmosphere has been well-studied throughout the latter half of this century (especially by the Voyager 1 rendezvous), there is still debate about the origin of the dense, nitrogen-rich atmosphere. Currently there are several theories on the origin of Titan's atmosphere, none of which have been conclusively proven or dismissed. In this paper, I will summarize and discuss each of these theories. In addition, I will discuss the upcoming Cassini/Huygens mission to Saturn and Titan, which may offer more clues to the origin of Titan's atmosphere.

Section 2 of this paper will give a brief overview of the status of observations and experimentation on the atmosphere of Titan. Section 3 will discuss current theories on the formation of Titan's atmosphere and the pros and cons of each. Section 4 will discuss the Cassini/Huygens probe, and the contributions which it may make to the debate over Titan's atmosphere.


2: Observations of Titan's atmosphere

The pre-Voyager and Voyager observations are thoroughly discussed in Hunten (1984) and Owen (1982), and will be summarized here. Suggestions of an atmosphere were first made by Solà in 1908 and were found to be theoretically possible by Jeans in 1925, but the existence of an atmosphere was not proven until Kuiper observed methane red and near-IR absorption lines in 1944. This discovery was significant not only because it requires a dense atmosphere with a significant fraction of methane, but because it also requires that the atmosphere be chemically evolved, since methane requires hydrogen in the presence of carbon, and molecular and atomic hydrogen would have escaped from Titan's weak gravitational field since the formation of the solar system. Laboratory experiments assuming a pure methane atmosphere again predicted a dense atmosphere, but one much less dense than is now known.

Until the 1970's, few significant advances were made in the study of Titan, other than the possible detection of mid-infrared bands of more hydrocarbon compounds and the development of several atmospheric models. In the 1970's however, major refinements to the popular theories about the atmosphere were made. The detection of vibration-rotation spectral bands of hydrocarbons such as acetylene, ethane, and deuterated methane were confirmed by better high-resolution IR spectra, and wavelength-dependent continuum opacities suggested the presence of a rich hydrocarbon "smog" in the atmosphere. However, ammonia -- common in the giant planets -- was not detected. In addition, radio observations of Titan set its temperature at 87 K, cold enough for liquid methane and ethane on the surface. Before the Voyager encounter, we therefore knew that Titan had a cold, dense atmosphere, rich in methane and other hydrocarbon compounds. At this point, the presence of molecular nitrogen had not been confirmed, although it was strongly suspected to be the major atmospheric constituent.

Finally, the Voyager 1 and 2 encounters set firm limits on the temperature, structure and composition of Titan's atmosphere. UV observations of the upper atmosphere and radio occultation measurements of the mean molecular weight determined that molecular nitrogen is the primary constituent of the atmosphere with a surface pressure of about 1.5 bars. Infrared measurements set the surface temperature at 95 K. Radio occultation measurements also established the structure of the atmosphere, with a well defined stratospheric temperature minimum of about 75 K. In addition, Voyager also established that the partial pressure of methane was low in comparison to that of nitrogen, so the presence of significant condensed methane on the surface of Titan is unlikely. Finally, precise measurements of the mean molecular weight indicated that it is slightly higher than 28, indicating the presence of heavier gases, possibly argon.

While we now have a fairly complete picture of Titan's atmosphere, we do not know how and why it formed. As mentioned in the introduction, Titan has an atmosphere denser than all of the terrestrial planets and satellites other than Venus, so it is likely that its atmosphere formed under special conditions, probably at or near the beginning of the solar system. Currently, there are several theories on the origin of Titan's atmosphere, including accretion of gas from the solar nebula, and outgassing of atmospheric constituents from the interior. Currently, observations made to date cannot confirm or eliminate any of these theories. The following sections will discuss conditions during the formation of Titan and theories on the development of a Titanian atmosphere, along with constraints on the likelihood of these theories being correct.


3: The origin of Titan's atmosphere

3.1: Nebular composition and the origin of Titan

Before discussing theories on the origin of Titan's atmosphere, the conditions near Saturn and Titan at the time the planets and satellites formed should be discussed, as they are crucial to the formation of Titan itself as well as its atmosphere. As was discussed in lecture, the materials composing the nebular disk at the time the Sun and planets formed had a composition gradient of solids and of molecular species dependent upon the temperature in the disk. This also implies a radial dependence upon distance from the Sun. At the distance of Saturn, the composition of Saturn's primordial accretion disk was a combination of rocky materials and volatile species. The temperature of the nebula due to the Sun would have been roughly

Tambient = (500 K/AU)/RSaturn's orbit) ~ 50 K,

which implies that in the absence of an accreting Saturn, the local nebula would have been cold enough to form ices, hydrates, and clathrates of volatile species in addition to dust grains and rocky materials.

IR radiation from the accreting proto-Saturn and proto-Titan could substantially increase this temperature, but there would still be volatile species out of which to create the atmosphere. Prinn and Fegley (1981) derived the chemical equilibrium conditions for both hot and cold accreting nebulae. They found that under the conditions expected around the accreting Jovian planets and their satellites, the levels of volatile gases and hydrocarbons is actually enhanced in some cases. The result is that the nebula out of which Titan (and possibly its atmosphere) formed would be rich in methane and ammonia, and depleted in simpler species like CO, hydrogen, and nitrogen. In this case, the rocky material and water ice out of which Titan likely formed would be very rich in both methane and ammonia. This is crucial to all of the theories of the formation of Titan's atmosphere, with the only difference being in where the majority of the atmosphere came from - either from direct accretion, by outgassing and cryogenic volcanism, or by impactors releasing hydrocarbons from the surface clathrate/hydrate ices.

3.2: Formation of Titan's atmosphere

Currently, there are three possible explanations (with some variations) to account for Titan's dense atmosphere: that it formed via accretion of nebular gas onto the developing proto-Titan, that it formed via cryogenic volcanism and outgassing of warm materials from Titan's core, or that it formed via melting and outgassing caused by impactors or accretion energy. In all of the theories for the formation of the atmosphere, it formed during or soon after Titan itself grew out of the nebula forming Saturn, and in most cases, the theories most consistent with observations involve some combination of accretion and outgassing. The key points in determining whether the theories are valid are that they not only match what we know from previous observations and the Voyager flybys, but that they are physically possible. Each theory and variations will be discussed along these lines in the following sections.

3.2.1: Accretion of the Atmosphere
This theory states that Titan's atmosphere was primarily accreted from the proto-Saturn and proto-Titan nebulae. In the case of accretion, the nebula composed of either molecular nitrogen and methane or ammonia and methane is accreted directly onto the surface forming a dense atmosphere. In the case of the latter, the ammonia could be photodissociated via solar radiation over a long period of time (~ 0.1 - 1 Gigayear), generating the current nitrogen-rich atmosphere, with some methane. (The resulting molecular hydrogen from photodissociation of ammonia would escape via Jeans escape.) This has two problems. First it would require that Titan accreted significantly more ammonia than methane, since the measured nitrogen column is much higher than the methane column. This is not likely since there would not be significantly more ammonia than methane in the nebula.
Second, and most importantly, the observed abundances of elements other than nitrogen in the atmosphere do not match the cosmic abundances expected from simple accretion from the nebula. One example mentioned by Owen (1982) is the abundance of neon. The mean molecular weight is very close to 28, the molecular weight of molecular nitrogen. However, neon has nearly the same cosmic abundance as nitrogen, but it cannot be a major constituent of Titan's atmosphere since the mean molecular weight would be much lower. It might be possible to combine several gases such as neon and argon to create a local mean molecular weight of 28, but this would be impossible to maintain over the entire height of the atmosphere. Therefore, an atmosphere created by simple accretion of the nebula is not likely.
3.2.2: Cryogenic volcanism and outgassing
The outgassing theory states that Titan's atmosphere arose primarily via outgassing of volatiles accreted onto the surface as clathrates or hydrates. In this scenario, volatiles are accreted onto the surface primarily as clathrates, or are incorporated into surface clathrates during the accretion phase and into clathrates making up the interior. The atmosphere could then be fully explained by outgassing of methane and ammonia. This scenario actually requires the presence of a small accreted atmosphere during the outgassing phase because a tenuous atmosphere created only by outgassing and melting of surface ice would likely take longer to grow (due to heat loss) and may not form at all.
Outgassing might have occurred in several ways. Hunten (1984) describes a scenario where accreted ammonia and methane clathrates are melted by the relatively high surface temperature due to accretion. The resulting ocean of water, ammonia and methane releases a significant amount of methane and ammonia into the atmosphere, and the ammonia is converted to nitrogen and hydrogen via photodissociation. As accretion stops, the surface temperature drops, and as the ocean freezes, it reincorporates the atmospheric methane into clathrate much faster than it reincorporates nitrogen. The result is a nitrogen-rich, cold atmosphere with some methane and other trace gases.
Another possibility is discussed by Lunine and Stevenson (1987) whereby a dense atmosphere does not form immediately, but instead comes from core material in a cryogenic volcanic process. Their scenario depends upon the fact that Titan's interior would (most probably) not have been stably stratified immediately after accretion, such that there may have been significant layers of dense rock on top of icy material in the core. Since this would be unstable, the core of Titan would "overturn" generating significant heating, and allowing methane and ammonia trapped in clathrates in the interior to percolate through the outer layers and be outgassed. Again, generation of nitrogen could occur via photodissociation, or as the authors suggested, via shock heating by impactors such as comets.
3.2.3: Formation of atmosphere by impactors
This theory has been suggested by several authors (Lunine and Stevenson (1987), Jones and Lewis (1987)); it suggests that the atmosphere could have been generated via shock-heating of the ice or liquid surface of Titan caused by infalling planetesimals or comets. As mentioned in the preceeding section, impactors would not only liberate volatile gases locked in surface clathrates but they would also be able to convert ammonia to nitrogen, and thus explain the current atmosphere. (McKay et al. 1988) This process probably would have been common during the accretion phase while there was still a significant amount of material in the Saturnian and Titanian accretion disks, so it is possible that the atmosphere may have been generated in this way. However, Hunten claims the process is less likely to generate a dense atmosphere than it is to eject mass from Titan. Massive impactors moving at high velocity relative to Titan (e.g. comets) would likely have enough energy to eject a significant portion of Titan's mass and atmosphere.

4: Future Prospects - the Cassini/Huygens probe

Of the three theories for the formation of Titan's atmosphere, it seems that the outgassing/volcanism theory is most likely to be correct. However, there is still significant debate whether the formation of the present atmosphere was driven by vaporization of methane and ammonia from a primordial atmosphere, by outgassing from Titan's interior, or some combination of the two. One way that this might be resolved is with the Huygens probe on the Cassini mission to Saturn, due to drop into Titan's atmosphere in 2004. The Huygens probe has several instruments designed to study the atmosphere and surface in great detail; one of these, the Gas Chromatograph and Mass Spectrometer (GCMS) has the potential to help determine which model for the formation of the atmosphere is correct.

One of the most-discussed methods for distinguishing between formation models is the abundance of argon and its isotopes in the Titanian atmosphere. We know that the mean molecular weight in the atmosphere is slightly higher than that of pure nitrogen, so there must be material heavier than nitrogen in the atmosphere; currently, argon is a strong candidate for this component. However its origin is ambiguous since it may have either been accreted with the clathrates out of which the atmosphere was formed, or it might have been outgassed from Titan's core as a radioactive decay product of potassium. Therefore the abundance of argon, and more specifically of each of its isotopes, is linked to the formation process that generated Titan's atmosphere. The GCMS experiment on Huygens may be able to distinguish between the two possibilities by measuring the ratios of the more abundant isotope argon-36, and the potassium-40 decay product argon-40. If argon-36 is the primary argon isotope observed on Titan, then it is more likely that the argon was accreted (since argon-36 is the most cosmically abundant isotope of argon). If argon-40 is the most abundant, then it is probable that it arose from outgassing of potassium by volcanic silicates from the core regions, where some of the potassium would have been radioactive potassium-40. (Engel and Lunine 1994)

There are several other instruments on board Huygens which may also help. Engel and Lunine also mention mention the possibility of obtaining images of the surface with the Descent Imager and Spectral Radiometer (DISR). It is possible that volcanic outflows may be visible on the surface, which would be a strong indicator that outflows may have played a role in the formation of the atmosphere. The DISR would be capable of imaging these regions, assuming they would be located in the region where the Huygens probe will land. In addition, the Surface Science Package (SSP) may be able to make compositional measurements of the surface ices. This could determine whether the surface ice, presumably in nearly the same state as it was when the primordial oceans froze, is significantly enhanced in methane relative to ammonia. This could determine whether the global ocean played a significant role in the formation of the atmosphere.


5: Conclusions

Titan and its atmosphere have been well studied, especially since the early 1970's and the Voyager missions. Since Voyager, there has been significant progress in the understanding of Titan's atmosphere, and there have been several possible explanations for its formation. Currently, the most favored hypothesis on the origin of Titan's atmosphere is the outgassing and volcanism theory, where the atmosphere formed from clathrates either on the surface or in the core of Titan, during or immediately after the accretion phase when Titan was still warm. However, it will not be possible to distinguish between these two theories until we can make measure the composition of the atmosphere and surface. The Huygens probe may be able to make this measurement, and answer the question of how Titan's atmosphere originated.


References


S. Engel and J.I. Lunine, 1994, "Silicate interactions with ammonia-water fluids on early Titan," Journal of Geophysical Research, vol. 99, no. E2, 3745
D.M. Hunten et al., 1984, "Titan," in Saturn, University of Arizona Press, 671
T.D. Jones and J.S. Lewis, 1987, "Estimated impact shock production of N2 and organic compounds on early Titan," Icarus, 72, 381
G.P. Kuiper, 1944, "Titan: a Satellite with an Atmosphere," Astrophysical Journal, 100, 378
J.I. Lunine and D.J. Stevenson, 1987, "Clathrate and ammonia hydrates at high pressure - Application to the origin of methane on Titan," Icarus, 70, 61L
C.P. McKay et al., 1988, "High-temperature shock formation of N2 and organics on primordial Titan," Nature, 332, 520
T. Owen, 1982 "The composition and origin of Titan's atmosphere," Planetary and Space Science, 30, 833
R.G. Prinn and B. Fegley Jr., 1981, "Kinetic inhibition of CO and N2 reduction in circumplanetary nebulae - Implications for satellite composition," Astrophysical Journal, 249, 308

(There are two figures which I obviously can't include, and both are just pie slices showing the radial structure of Titan at the time of accretion - undifferentiated rock and ice in the core, a rocky mantle, and a clathrate crust possibly with an ocean beneath the icy surface layer. The (possible) oceans and volcanism have long since frozen.)