tackyattack said:
I was wondering, is there a certain point above the Earth where the temperature stays the same?
I agree with Russ that the question wasn't put very clearly. And I'm not sure why you ask it in Cosmo forum.
But here is some grist for your mill. Something to chew on from the Wikipedia article on "Tropopause"
==quote wikipedia==
The tropopause is the atmospheric boundary between the troposphere and the stratosphere. Going upward from the surface, it is the point where air ceases to cool with height, and becomes almost completely dry. More formally, it is the region of the atmosphere where the environmental lapse rate changes from positive (in the troposphere) to negative (in the stratosphere). The exact definition used by the World Meteorological Organization is:
the lowest level at which the lapse rate decreases to 2 °C/km or less, provided that the average lapse rate between this level and all higher levels within 2 km does not exceed 2 °C/km.
The troposphere is the lowest of the Earth's atmospheric layers and is the layer in which most weather occurs. The troposphere begins at ground level and ranges in height from an average of 11 km (6.8 miles/36,080 feet at the International Standard Atmosphere) at the poles to 17 km (11 miles/58,080 feet) at the equator. It is at its highest level over the equator and the lowest over the geographical north pole and south pole. On account of this, the coolest layer in the atmosphere lies at about 17 km over the equator. Due to the variation in starting height, the tropopause extremes are referred to as the equatorial tropopause and the polar tropopause.
==endquote==
Your question mentioned the Earth, so one naturally thinks of the immediate surroundings of the Earth. It's lower atmosphere. It's atmosphere above the tropopause. Out beyond that the VanAllen belt with its charged particles out beyond that the Solar Wind. All different temperatures.
But if you are talking about the space between the stars, then different parts of the galaxy have different kinds of rarified stuff. Different temperatures.
If you are talking about the huge emptyspaces between the galaxies there is stuff of different temperatures out there too. But one of the features you might be thinking of is the Cosmic Microwave Background----this is light and light can have a temperature corresponding to the temp of a body which would radiate that light. The CMB has a known temp. 2.75 kelvin. But the trouble is there is other stuff besides the CMB! So it is hard to pin the universe down to a single temperature.
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If you really are asking about the Tropopause, then tell us! It is place about 10 or 11 miles up where the air stops getting colder with altitude and stays pretty much the same, and then starts getting hotter with altitude as you continue going up.
It's pretty interesting, but it's not cosmology.