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By Charles Rhodes, Xylene Power Ltd.
SOLAR POWER ABSORBED BY ELEMENT OF AREA dAc:
Let dAc be an element of cross sectional area normal to the solar flux Ho.
The solar power absorbed by cross section dAc of an ideal black body located in the earth's orbit is:
Ho dAc
A real body, such as th Earth, reflects fraction Fr of the solar power incident upon it, where Fr is the planetary albedo or Bond albedo. Hence the solar power absorbed by element of cross sectional area dAc is:
Ho (1 - Fr) dAc
A major cause of albedo is Rayleigh scattering by molecules in the atmosphere. Rayleigh scattering is dominant at the high frequency end of the visible spectrum and gives the sky its apparent blue color. Rayleigh scattering continues on into the ultra-violet frequency range.
When the sky is overcast by cloud the larger particle sizes of water droplets in the cloud cause Mie scattering to dominate. Mie scattering is not strongly wavelength dependent, so clouds usually appear white or grey.
Clouds also reflect back into space a large portion of the solar light incident upon them. The albedo of a cloud is generally in the range .36 to .56
Albedo is a also function of ground cover (snow, ice, water, trees, grass, sand, etc.). Typical local albedos for open sky conditions are tabulated below:
| GROUND COVER | LOCAL ALBEDO |
|---|---|
| Open Ocean | .035 |
| Charcoal | .04 |
| Smooth Standing Water | .07 - .08 |
| Pine Forest | .09 |
| Swampland | .09 - .14 |
| Deciduous Trees | .13 |
| Grassy Fields | .20 |
| Sand | .25 |
| Ice | .3 - .4 |
| Old Snow | .4 - .7 |
| Fresh Snow | .7 - .9 |
A decrease in local albedo due to melting of snow or ice has the effect of increasing local warming, and vice versa.
The local albedo for flat open water is also affected by the angle of incidence of the solar radiation.
The best available value of planetary albedo Fr is from Earthshine observations of the earth's reflectance which give the planetary albedo as:
Fr = .297 +/- .005
by photometric measurements of earthshine reflected off the moon conducted during the period late 1998 to early 2001. The report notes a slight decrease in the planetary albedo as compared to a similar measurement made in 1994-1995. A slight decrease in planetary albedo is expected due to ongoing melting of floating ice near the north and south poles.
ALBEDO REFERENCES:
Disk Averaged Earth's Reflectance Spectra
The Atmospheric Absorption Spectrum
This web page last updated July 26, 2008
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