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These figures should be compared with the temperature and density of Earth's atmosphere plotted at NRLMSISE-00, which shows the air density dropping from 1200 g/m 3 at sea level to 0.125 g/m 3 at 70 km, a factor of 9600, indicating an average scale height of 70 / ln(9600) = 7.64 km, consistent with the indicated average air temperature over ...
At heights over 100 km, an atmosphere may no longer be well mixed. Then each chemical species has its own scale height. In summary, the mass of Earth's atmosphere is distributed approximately as follows: [37] 50% is below 5.6 km (18,000 ft), 90% is below 16 km (52,000 ft), 99.99997% is below 100 km (62 mi; 330,000 ft), the Kármán line.
In an isothermal model of the atmosphere, the density () varies exponentially with altitude according to the Barometric formula: = (),where denotes the density at sea level (=) and the so-called scale height.
The density of the Earth's atmosphere decreases nearly exponentially with altitude. The total mass of the atmosphere is M = ρ A H ≃ 1 kg/cm 2 within a column of one square centimeter above the ground (with ρ A = 1.29 kg/m 3 the atmospheric density on the ground at z = 0 m altitude, and H ≃ 8 km the average atmospheric scale height).
The NASA Earth Global Reference Atmospheric Model (Earth-GRAM) was developed by the Marshall Space Flight Center to provide a design reference atmosphere that, unlike the standard atmospheres, allows for geographical variability, a wide range of altitudes (surface to orbital altitudes), and different months and times of day. It can also ...
The number of satellites in Earth's orbit has skyrocketed from about 1,000 in 2010 to more than 10,000 today. According to a government report, ... (such as Earth's atmosphere), it may have to ...
The height at which the atmospheric pressure declines by a factor of e (an irrational number equal to 2.71828) is called the scale height (H). For an atmosphere of uniform temperature, the scale height is proportional to the atmospheric temperature and is inversely proportional to the product of the mean molecular mass of dry air, and the local ...
This latter equation can be solved over a single layer of the atmosphere. Since the atmosphere at a height of approximately 5.5 kilometres (3.4 mi) is mostly divergence-free, the barotropic model best approximates the state of the atmosphere at a geopotential height corresponding to that altitude, which corresponds to the atmosphere's 500 mb ...