### Planet Mars black-body temperature (effective temperature) Te misfortunate coincidence

**Planet Mars black-body temperature (effective temperature) Te misfortunate coincidence**

** We have calculated the Corrected Effective Temperature for Mars Te.correct.mars = 174 K**

** But let's see what happened when the Effective Temperature of Mars was not yet corrected. Te.mars = 209,8 K**

** https://nssdc.gsfc.nasa.gov/planetary/factsheet/marsfact.html**

** Tsat. mean.mars = 210 K **

**https://en.wikipedia.org/wiki/Mars**

**We have here planet Mars mean temperature measured by satellites:**

** Tsat.mean.mars = 210 K **

**We have the Mars black-body temperature**

** Te = 209,8 K **

**These temperatures the Tsat.mean.mars = 210 K and the black-body temperature Te.mars = 209,8 K are almost identical. **

**These two very important for planet Mars temperatures are almost identical, but it is a coincidence.**

** It is a coincidence, but with very important consequences. **

**Let's explain:**

** Tsat.mean.mars = 210 K measured by satellites is almost equal with Te.mars = 209,8 K **

**When measuring by satellites the Tsat.mean.mars = 210 K and calculating Mars black-body temperature Te.mars. = 209,8 K scientist were led to mistaken conclusions.**

** First they concluded that the planet's effective and planet's without-atmosphere mean surface temperatures should normally be equal, which is wrong.**

** Secondly they concluded that Earth without atmosphere should have an average surface temperature equal to the Earth's black-body temperature (effective temperature), Te.earth = 255 K**

** https://nssdc.gsfc.nasa.gov/planetary/factsheet/earthfact.html**

** Then they compared the Te.earth = 255 K with the measured by satellites Tsat.mean.earth = 288 K**

** https://nssdc.gsfc.nasa.gov/planetary/factsheet/**

** The difference of 288 K - 255 K = Δ33 oC was then attributed to the Earth’s atmosphere greenhouse warming effect.**

** Now we have the Mars Corrected Effective Temperature **

**Te.correct.mars = 174 K. **

**The fact that the Corrected Effective Temperature of Mars is Te.correct.mars = 174 K, which is not even close to the satellite measured Tsat.mean.mars = 210 K debunks the above syllogism that the planet the calculated black-body temperature Te (effective temperature) is equal to the planet without atmosphere mean surface temperature Tmean.**

** The above wrong syllogism happened because of the wrongly estimated Mars black-body temperature. **

**It was calculated assuming planet absorbing incoming solar energy as a disk. We know now that planet absorbs the incoming solar energy as a sphere, and not as a disk.**

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### Applying a simplest LOGIC

**We are considering here the airless selestial bodies - the planets and moons without-atmosphere.**

**A measured planet mean surface temperature Tmean cannot be numerically equal to the theoretically calculated planet effective temperature Te (i. e. Mars Tmean =210K vs Mars Te =210K).**

**For the obvious reason - there are NOT planets and moons in the entire solar system with uniform surface temperatures!!!**

**-**

**Also, when discussing (i. e. Mars Tmean =210K vs Mars Te =210K) we are considering the same exactly planet, so it should emit the same exactly amount of IR EM energy, no matter what.**

**It is impossible for a planet having Te =210K to emit the same amount of IR EM energy as it emits a planet which has Tmean =210K and which planet is very much far from being a uniform surface temperature selestial body.**

** If they emit the same amount of IR EM energy - they are two different planets.**

**So, the above assertion: Tmean = Te is utterly wrong, because it is physically impossible!**

**-**

**Conclusion:**

**Planet effective temperature (Te) is a mathematical abstraction. The only connection with the real world it has - is that it can be considered as a vague aproximation, when estimating the expected planetary temperatures, since it uses the actual solar flux on the planetary surface, plus it uses the actual average surface Albedo.**

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### Comparison of Te and Te.correct for planets Mars, Earth, Moon and Mercury

**Φ = 0,47 is the for smooth without atmosphere planet surface solar irradiation accepting factor**

** Planet...Tsat.mean.....Te…..Te.correct**

** Mars …....210 K ....209,8 K …174 Κ**

** Earth.......288 K.......255..K......210 ****K **

**Moon.......220 K......270,4..K....224 K**

** Mercury....340 K......440 K......364 K **

**Let's explain:**

**For Mars**

**Tsat.mean.mars = 210 K measured by satellites is almost equal with **

**Te.mars = 209,8 K (black-body equation calculated)**

**So scientist were led to mistaken conclusions.**

**First they assumed that the planet's without-atmosphere effective and mean surface temperatures were equal, which is wrong. **

**Second, Earth's effective temperature was calculated as**

** Te.earth = 255 K **

**The measured by satellites**

** Tsat.mean.earth = 288 K. **

**The difference of Δ 33 oC was attributed to the Earth’s atmosphere greenhouse warming effect. **

**Now we have calculated Mars' effective temperature as**

** Te.correct = 174 K **

**So the assumption that planet without-atmosphere mean surface temperature**

** Tmean = Te is wrong. **

**Mars' Tsat.mean.mars = 210 K.**

**We can conclude now that Earth's**

**Te.earth = 255 K is not equal with the Earth's Tmean.earth.**

**The satellite measured Tsat.mean.earth = 288 K**

** and it is the Earth's actual average (mean) surface temperature.**

** Thus the difference of 288 K - 255 K = Δ33 oC does not exist.**

**Also we have calculated the Earth's ****Te.correct.earth = 210 K**

** which is much less than the previously calculated by the black-body equation**

**Te.earth = 255 K.**

## .

### Te is a misleading mathematical abstraction, which, in addition, is wrongly estimated…

**What I insist in is that planet without-atmosphere effective temperature Te is a wrong and misleading mathematical abstraction.**

** Also, I have shown, (this wrong and misleading mathematical abstraction) Te is, at the same time, wrongly estimated.**

** Thus we deal here with a misleading mathematical abstraction, which, in addition, is wrongly estimated…**

**As it is shown in the Table above:**

** Te.mars = 210 K, Te.correct.mars = 174 K**

** Te.earth = 255 K, Te.correct.earth = 210 K**

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**https://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 ← T↓max**

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