# Planet's Without-Atmosphere Mean Surface Temperature New Equation: Tmean = [ Φ (1-a) S (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴ (K)

### Earth's average SW absorbed solar energy: Jsw.not-reflected.average = 111 W/m²

A planet reflects incoming short wave solar radiation. A planet's surface has reflecting properties.

1. The planet's albedo "a". It is a surface quality dependent value.

2. The planet's spherical shape. For a smooth planet the solar irradiation reflection is (0,53 + Φ*a)Jincoming.

What we had till now:

Jsw.incoming - Jsw.reflected = Jsw.not-reflected

Here

Jsw.absorbed = (1-a)*Jsw.incoming

And

Jsw.reflected = a*Jsw.incoming

What we have now is the following:

Jsw.incoming - Jsw.reflected = Jsw.not-reflected

Φ = (1-0,53) = 0,47

Φ = 0,47

Φ is the planet's spherical surface solar irradiation accepting factor.

Jsw.reflected = (0,53 + Φ*a) * Jsw.incoming

And

Jsw.not-reflected = Φ* (1-a) * Jsw.incoming

Where

(0,53 + Φ*a) + Φ* (1-a) = 0,53 + Φ*a + Φ - Φ*a =

= 0,53 + Φ = 0,53 + 0,47 = 1

Conclusion:

A planet's not-reflected fraction of the SW incoming radiation in total is:

Jsw.not-reflected = 0,47*(1-a)*Jsw.incoming

For Planet Earth

Average albedo a = 0,306

Solar flux So = 1.361 W/m²

Jsw.not-reflected = Φ*(1-a)*So =

Jsw.not-reflected = 0,47*(1-0,306)*1.361 W/m² =

= 0,47*0,694*1.361 W/m² = 444,26 W/m²

Averaged on the entire Earth's surface we obtain:

Jsw.not-reflected.average = [ 0,47*(1-a)*1.361 W/m² ] /4 =

= [ 0,47*0,694*1.361 W/m² ] /4 = 444,26 W/m² /4 =

= 111,07 W/m²

Jsw.not-reflected.average = 111 W/m²

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 the 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 is not seen from the space.

Figure 13 shows the monthly running annual mean incoming solar radiation following  (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