A Planet Effective Temperature Complete Formula Te = [ Φ (1-a) S (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴

Plus the introduction to the Reversed Milankovitch Cycle. Click above on the box for more

The global average absorbed solar SW radiation

“The SW global average absorbed = 241 (W/m²) 1/15/2020”.

The satellites’ measured SW global average absorbed = 241 (W/m²) is the confirmation of Te = 255 K.

Let’s do the calculation:

Te.earth = [ (1-a) So /4σ ]¹∕ ⁴

Te.earth = [241 (W/m²) /σ ]¹∕ ⁴

Albedo is already counted, because the 241 (W/m²) is the absorbed, and 4 also, because it is the global surface average.

σ = 5,67*10⁻⁸ W/m²K⁴, the Stefan-Boltzmann constant

Te.earth = [ 241 (W/m²) /5,67*10⁻⁸ W/m²K⁴ ]¹∕ ⁴ =

Te.earth = ( 4.250.440.917,108 ) ¹∕ ⁴ =

Te.earth = 255,33 K

So this 255,33 K is the earth’s emitting temperature according to the Stefan-Boltzmann law.

And notice, that the calculation being made by the use of the planet effective temperature incomplete formula:

Te = [ (1-a) So /4σ ]¹∕ ⁴

This planet effective temperature incomplete formula is still in common use right now.

Let’s do the calculation again this time with the Planet Effective Temperature Complete Formula:

Earth’s Without-Atmosphere Effective Temperature Calculation:

The SW global average absorbed = 241 (W/m²) 1/15/2020

Earth’s surface solar irradiation accepting factor Φearth = 0,47

β = 150 days*gr*oC/rotation*cal – is a Rotating Planet Surface Solar Irradiation Absorbing-Emitting Universal Law constant

N = 1 rotation per day, is Earth’s sidereal rotation period

cp.earth = 1 cal/gr*oC, it is because Earth has a vast ocean.

σ = 5,67*10⁻⁸ W/m²K⁴, the Stefan-Boltzmann constant

Earth’s Without-Atmosphere Effective Temperature Complete Formula Te.earth is :

Te.earth = [ Φ (1-a) So (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴

Albedo is already counted, because the 241 (W/m²) is the absorbed, and 4 also, because it is the global surface average.

Τe.earth = [ 0,47*241 (W/m²) (150 days*gr*oC/rotation*cal *1rotations/day*1 cal/gr*oC)¹∕ ⁴ /5,67*10⁻⁸ W/m²K⁴ ]¹∕ ⁴ =

Τe.earth = [ 0,47*241 (W/m²) (150*1*1)¹∕ ⁴ /*5,67*10⁻⁸ W/m²K⁴ ]¹∕ ⁴ =

Τe.earth = [ 0,47*241 (W/m²) (3,4996) /*5,67*10⁻⁸ W/m²K⁴ ]¹∕ ⁴ =

Te.earth = ( 6.991.176.225,75 ) ¹∕ ⁴ K =

Te.earth = 289.16 K

Conclusions:

“The SW global average absorbed = 241 (W/m²) 1/15/2020” is very well measured.

Satellites do not “see”, and therefore satellites cannot measure the actual SW solar reflection.

 

 

 

 

 

My name is Christos J. Vournas, M.Sc. mechanical engineer.

I launched this site to have an opportunity to publish my scientific discoveries on the Climate Change.

I have been studying the Planet Earth’s Climate Change since November 2015; I have been studying it for four years now.

First I discovered the Reversed Milankovitch Cycle.

Then I found the faster a planet rotates (n2>n1) the higher is the planet’s average (mean) temperature T↑mean:

Tmin↑→ T↑mean ← T↓max when n2>n1 (it happens because Tmin↑ grows faster than T↓max lessens).

The further studies led me to discover the Rotating Planet Spherical Surface Solar Irradiation Absorbing-Emitting Universal Law and the Planet Effective Temperature Complete Formula.

Solar irradiation on the Top Of Atmosphere, http://www.woodfortrees.org/graph/pmod/from:2000

About the satellites’ measurements – they are excellent, I never doubt, I believe in satellites’ measurements

 

About the satellites’ measurements – they are excellent, I never doubt, I believe in satellites’ measurements.

What I would like to say is that satellites are not capable to “see”, satellites are not capable to measure the reflected from a planet’s surface solar short waves radiation.

The reflected from a planet’s surface solar short waves radiation never reach the satellites high resolution sensors, and therefore the reflected from a planet’s surface solar short waves radiation cannot be measured.

What satellites can “see” and measure is a planet’s albedo.

Albedo is not a primer solar SW radiation reflection.

Albedo is a surface quality, it is a secondary reflection and it is seen and measured by the satellites’ sensors.

Sun's reflection is blinding. Sun's reflection cannot be observed from the space.

Figure 13 shows the monthly running annual mean incoming solar radiation following [5] (purple curve) and the global mean TOR (green curve) for the period 2000–2018. The TOR is obtained as the sum of the OLR and the RSR. https://www.mdpi.com/2072-4292/11/6/663/htm

http://www.cristos-vournas.com

 The faster a planet rotates (n2>n1) the higher is the planet’s average (mean) temperature T↑mean:

Tmin→ T↑mean ← Tmax

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Mar's Effective Temperature calculation

Te.mars

(1/R²) = (1/1,524²) = 1/2,32

Mars has 2,32 times less solar irradiation intensity than Earth has

Mars’ albedo: amars = 0,25

N = 1 rotations/per day, Planet Mars completes one rotation around its axis in about 24 hours

Mars is a rocky planet, Mars’ surface solar irradiation accepting factor: Φmars = 0,47

cp.mars = 0,18 cal/gr oC, on Mars’ surface is prevalent the iron oxide

β = 150 days*gr*oC/rotation*cal – it is a Rotating Planet Surface Solar Irradiation Absorbing-Emitting Universal Law constant

σ = 5,67*10⁻⁸ W/m²K⁴, the Stefan-Boltzmann constant

So = 1.362 W/m² the Solar constant

Mar’s Effective Temperature Complete Formula is:

 

Te.mars = [ Φ (1-a) So (1/R²) (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴

 

Planet Mars’ Effective Temperature Te.mars is:

Te.mars = [ 0,47 (1-0,25) 1.362 W/m²*(1/2,32)*(150*1*0,18)¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴ ]¹∕ ⁴ = 213,59 K

Te.mars = 213,59 K

The calculated Mars’ effective temperature Te.mars = 213,59 K is only by 1,7% higher than that measured by satellites

Tsat.mean.mars = 210 K !

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