Falsification Of The Atmospheric CO2 Greenhouse Effects Within ...

Falsification Of The Atmospheric CO 2 Greenhouse Effects . . . 19
∫ √
= 2π · I 0 · a 2 R0 2
·
+a2
a
⎛
⎝− 1
= 2π · I 0 · a 2 ·
= π · I 0 · a 2 ·
= π · I 0 ·
(b) Two parallel areas with distance a → 0
1
r 3 dr
√ ⎞
∣ ∣∣∣ R 2
0 +a 2
⎠
2r 2 a
( )
1
a − 1
2 R0 2 + a 2
R 2 0
R 2 0 + a 2 (16)
If the distance a is becoming very small whereas R 0 is kept finite one will have
(
R 2 )
0
I parallel areas (a→0) = lim π · I 0 · = πI
a→0 R0 2 + a 2 0 (17)
This relation corresponds to the total half-space intensity for a radiation from a unit
surface.
(c) The Earth illuminated by the Sun
With I Sun
0 being the factor I 0 for the Sun the solar total half-space intensity is given by
Setting
one gets for the solar intensity at the Earth’s orbit
I Earth’s orbit = π · I Sun
0 ·
2.1.4 The Stefan-Boltzmann law
I Sun’s surface = π · I Sun
0 (18)
a = R Earth’s orbit (19)
R 0 = R Sun (20)
R 2 Sun
R 2 Sun + R 2 Earth’s orbit
R 2 Sun
= I Sun’s surface ·
R 2 Sun + R 2 Earth’s orbit
≈ I Sun’s surface ·
≈ I Sun’s surface ·
R 2 Sun
R 2 Earth’s orbit
1
(215) 2 (21)
For a perfect black body and a unit area positioned in its proximity we can compute the
intensity I with the aid of the the Kirchhoff-Planck-function, which comes in two versions
B ν (T ) =
[ ( ) −1 2hν3 hν
exp − 1]
c 2 kT
(22)
B λ (T ) =
[ ( ) −1 2hc2 hc
exp − 1]
λ 5 λkT
(23)