How Long Does It Take for a Comet to Evaporate in the Oort Cloud?

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SUMMARY

The evaporation rate of comets in the Oort Cloud, specifically a typical comet body measuring 10x5 km, is influenced by its properties as a black body and the near absolute zero temperatures of the environment. Without an atmosphere, these comets maintain their equilibrium temperature, allowing for an estimation of the particle energy distribution within. Particles exceeding their evaporation energy will escape, leading to a very slow evaporation process. Overall, the time required for a comet to completely evaporate in the Oort Cloud is expected to be extremely long.

PREREQUISITES
  • Understanding of black body radiation principles
  • Knowledge of thermodynamics, particularly equilibrium temperature
  • Familiarity with particle energy distribution concepts
  • Basic comprehension of the Oort Cloud and comet characteristics
NEXT STEPS
  • Research black body radiation and its implications for celestial bodies
  • Study thermodynamic principles related to equilibrium temperature
  • Explore particle energy distribution and evaporation energy concepts
  • Investigate the characteristics and dynamics of the Oort Cloud
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Astronomers, astrophysicists, and students studying celestial mechanics and the behavior of comets in the Oort Cloud.

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Interesting question to think about.

We know that there are lots of comet bodies in the Oort cloud and we know that even in the near absolute zero temperatures evaporation does take place. Comets are usually covered in dust, which slows down this evaporation, but let's consider clear body.

How much time will it take to completely evaporate average comet body (of wafer ice) 10x5 km? Comet does not go around the sun - just sitting in the Oort cloud in the edge of the Solar System. Any good approximations?
 
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As I do not have the numbers at hand (nor do i know them by heart), I will only indicate how you could make such an estimate, if you need more help, please tell me so.

The comets in the Oort Cloud are probably fairly good black bodies. They do not have an atmosphere and will therefore have about their equilibrium temperature (they receive as much heat from the sun as they radiate away), so you can estimate their temperature. The temperature sets a distribution of energies of the particles inside the comet. The ones with an energy exceeding their evaporation energy will escape. This should give you a handle on the evaporation rate.

Whatever you calculate, the evaporation rate of a reasonably large comet should be extremely long!
 

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