Radiative equilibrium in near-Earth space

  • Context: Graduate 
  • Thread starter Thread starter nugae
  • Start date Start date
  • Tags Tags
    Equilibrium Space
Click For Summary
SUMMARY

The discussion centers on the radiative equilibrium temperature of a rapidly rotating pig projected from a spacecraft in near-Earth orbit, considering both solar radiation and cosmic microwave background radiation (CMBR). According to the Stefan-Boltzmann law, the equilibrium temperature is estimated to be 278°K for a black body without an atmosphere. The conversation also explores the albedo of pigs and their emissivity, noting that organic materials, including pig skin, have an emissivity close to 1 in the infrared spectrum. The relationship between absorption and emission of radiation is confirmed to be reciprocal, emphasizing energy conservation principles.

PREREQUISITES
  • Understanding of the Stefan-Boltzmann law
  • Knowledge of radiative properties and emissivity
  • Familiarity with cosmic microwave background radiation (CMBR)
  • Basic concepts of albedo and its impact on thermal radiation
NEXT STEPS
  • Research the Stefan-Boltzmann law and its applications in astrophysics
  • Investigate the emissivity of various organic materials in different wavelengths
  • Explore the concept of albedo and its significance in thermal dynamics
  • Examine the effects of cosmic microwave background radiation on near-Earth objects
USEFUL FOR

Astronomers, physicists, environmental scientists, and anyone interested in the thermal dynamics of objects in space and their interaction with solar and cosmic radiation.

nugae
Messages
8
Reaction score
0
Project a pig P from a spacecraft in near-Earth orbit. Assume that P is rotating rapidly (or, equivalently, that it is perfectly conductive).

What temperature will P reach when it is in radiative equilibrium with the Sun on the one hand and the CRB on the other?

The Stefan-Boltzmann law gives 278°K (at least according to Wikipedia) if the pig is a black body without an atmosphere, which seems reasonable though I haven't actually checked the calculations in detail.

This question may be turning into "how un-black is a pig?". Presumably one would need to look at the albedo of pigs (either black ones or white ones) at different wavelengths. Any references would be welcome: people might have more figures on them than pigs, and, both being mammals, will probably have similar radiative properties.

If a body absorbs 30% of the radiation that a black body would, will it also emit 30% of the radiation that a black body would, or is there no necessary connection between these figures?
 
Astronomy news on Phys.org
nugae said:
This question may be turning into "how un-black is a pig?". Presumably one would need to look at the albedo of pigs (either black ones or white ones) at different wavelengths. Any references would be welcome: people might have more figures on them than pigs, and, both being mammals, will probably have similar radiative properties.
The emissivity of most organic materials (skin, paper, etc.) is close to 1 in the infra-red. For human skin it's 0.95-0.98, regardless of skin color, dropping to about 0.9 in the near-IR.

nugae said:
If a body absorbs 30% of the radiation that a black body would, will it also emit 30% of the radiation that a black body would, or is there no necessary connection between these figures?
Emissivity is reciprocal for absorption and radiation.
 
nugae said:
If a body absorbs 30% of the radiation that a black body would, will it also emit 30% of the radiation that a black body would[..]?
If it didn't, would energy be conserved?
 

Similar threads

  • · Replies 46 ·
2
Replies
46
Views
12K
  • · Replies 42 ·
2
Replies
42
Views
9K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 32 ·
2
Replies
32
Views
4K
  • · Replies 29 ·
Replies
29
Views
5K
  • · Replies 86 ·
3
Replies
86
Views
9K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K