Calculating the surface temperature of a sphere using Mr. Hansen’s formula from NASA
Author: kegasaExecutions: 41
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{
dA = r*dθ*r*cos(θ)*dφ;
Area = Area + dA;
AreaT = AreaT + dA*cos(θ)*cos(φ)*(So*(1-A)/(σ))^(1/4);
}
TeSphere = AreaT / (Area * 2);
ASphere = Area * 8;
dA = r*dθ*r*cos(θ)*dφ;
Area = Area + dA;
AreaT = AreaT + dA*cos(θ)*cos(φ)*(So*(1-A)/(σ))^(1/4);
}
TeSphere = AreaT / (Area * 2);
ASphere = Area * 8;
| Temperature of a sphere with zero thermal resistance: TeZero | K |
| Temperature of a sphere with zero thermal resistance: TeZero | ℃ |
| Temperature of a Sphere with Infinite Thermal Resistance (TeSphere) | K |
| Temperature of a Sphere with Infinite Thermal Resistance (TeSphere) | ℃ |
| Surface Area of a Sphere ASphere |
SCIENCE August 28, 1981
Climate Impact of Increasing
Atmospheric Carbon Dioxide
J. Hansen
πR^2(1 - A)So = 4πR^2σTe^4
Te = [So(1-A)/4σ]^(1/4) (2)
Te = 255 K
The mean surface temperature is
Te = 288 K
https://pubs.giss.nasa.gov/docs/1981/1981_Hansen_ha04600x.pdf
Climate Impact of Increasing
Atmospheric Carbon Dioxide
J. Hansen
πR^2(1 - A)So = 4πR^2σTe^4
Te = [So(1-A)/4σ]^(1/4) (2)
Te = 255 K
The mean surface temperature is
Te = 288 K
https://pubs.giss.nasa.gov/docs/1981/1981_Hansen_ha04600x.pdf
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the equation explained by Mr. Hansen shows that, based on solar radiation and blackbody radiation,
the Earth’s surface temperature would be –18°C in the absence of greenhouse gases.
Science, August 23, 1981 issue
Te = [So(1 - A)/4σ]^(1/4)