Satellite Reentry: Examining Newtonian Gravity

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SUMMARY

The discussion focuses on the dynamics of satellite reentry, emphasizing the dual influences of gravitational forces and atmospheric drag as described by Newtonian gravity, specifically using the equation g = GM/r^2. It highlights the complexities of varying air resistance and gravitational pull with altitude and velocity. Practical equations for calculating air resistance are mentioned, with parallels drawn to wind force on boats, indicating that these constants can differ based on shape and conditions. The conversation underscores the necessity of understanding these factors for accurate modeling of satellite reentry.

PREREQUISITES
  • Newtonian gravity principles
  • Understanding of atmospheric drag and resistance
  • Basic knowledge of orbital mechanics
  • Familiarity with practical equations for force calculations
NEXT STEPS
  • Research the effects of altitude on gravitational force using g = GM/r^2
  • Explore practical equations for calculating atmospheric drag during reentry
  • Study the relationship between velocity, temperature, and air resistance
  • Investigate the dynamics of satellite reentry through case studies and simulations
USEFUL FOR

Aerospace engineers, physicists, and students studying orbital mechanics or satellite technology will benefit from this discussion, particularly those interested in the complexities of satellite reentry dynamics.

Jack3145
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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.
 
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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...
 
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