Question

value of g decreases with altitude with Formula​

Answer 1

The gravitational acceleration decreases with altitude, as shown by the solid line in Figure 1 (left). g is equal to 9.5 m/s2 at 100 km altitude, which is 9% larger than 8.7 m/s2. However, at 500 km altitude, g is close to 8.45 m/s2, which is close to 3% smaller than 8.7 m/s2.

Answer 2

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For simplicity, a constant gravitational acceleration (equation image) is assumed in many general circulation models (GCMs). To estimate the influence of the altitudinal variation of the equation image on the thermosphere simulation, two runs have been made under the solar maximum condition using the non-hydrostatic Global Ionosphere Thermosphere Model (GITM), including one with a constant equation image (8.7 m/s2) and the other with an altitude-dependent equation image. During geomagnetic quiet time, globe averagely, the constant equation image case overestimates the neutral density by 30% and underestimates the temperature by 10% around 120 km altitude compared with the altitude-dependent gravitation case.

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