Satellite Reentry: Examining Newtonian Gravity

[Jack3145]

The path of a satellite reentering the atmosphere from a very high orbit has two components, one gravitational and the other from the atmosphere. Could there be a discussion of the two separate components using Newtonian gravity with gravity as:

g = GM/r^2

that change with elevation as a function of time.

 

[Naty1]

There may also be a velocity component from the satellite's rotational velocity...anyway the atmosphere acts as a variable resistance (drag) in a direction opposite the velocity.

the complication is that air resistance and gravity vary with altitude and air resistance varies with speed...and likely with temperature as well...

Try wikipedia,
http://en.wikipedia.org/wiki/Orbital_spaceflight

and see "RE-ENTRY for a brief discussion of some practical considerations...it's not a simple theoretical situation underlying your question. For one thing, a satellite in free fall will burn up...

There are practical equations for computing air resistance...I researched some for wind force on a boat while anchored...it varied as the square of wind speed...people had computed/measured constants for different boat shapes...