What is the Correct Radius and Mass of Earth for Satellite Orbit Calculations?

  • Thread starter Thread starter TjGrinnell
  • Start date Start date
  • Tags Tags
    Orbit Satellite
Click For Summary
SUMMARY

The correct radius for satellite orbit calculations at an altitude of 450,000 meters above Earth's surface is 6,371,000 meters plus the altitude, resulting in a total radius of 6,821,000 meters. The mass of Earth to be used in these calculations is approximately 5.972 × 1024 kg. These values are essential for accurate orbital mechanics and satellite deployment.

PREREQUISITES
  • Understanding of gravitational force equations
  • Familiarity with orbital mechanics
  • Knowledge of Earth's physical parameters, specifically radius and mass
  • Basic proficiency in physics, particularly in calculating orbits
NEXT STEPS
  • Research gravitational force calculations using the formula F = G(m1*m2)/r2
  • Learn about Kepler's laws of planetary motion
  • Study the effects of altitude on satellite velocity and orbit stability
  • Explore tools for simulating satellite orbits, such as STK (Systems Tool Kit)
USEFUL FOR

Aerospace engineers, astrophysicists, satellite operators, and students studying orbital mechanics will benefit from this discussion.

TjGrinnell
Messages
11
Reaction score
1
Homework Statement
I have a satellite with a mass of 30.0 kg that I wish to put into a circular orbit 450,000 m above the surface of the earth.
15. How much will the potential energy of the satellite – earth system increase by?
16. What must the kinetic energy of the satellite be when it is in orbit?
17. What will the magnitude of the gravitational force on the satellite be when it is in orbit?
18. What will the period of the satellite's orbit be? If the orbit is above the earth's equator, how long will it take for me to see the satellite again in the same spot in the sky?
Relevant Equations
U(g)=-(GM(p)m(s))/r^2
I just have a question on the problem itself. If I am putting the satellite into orbit 450,000 m above the surface, then would r=6,371,000 m(earth's radius)+450,000 m? And what mass of Earth should I be using, in kg of course.
 
Physics news on Phys.org
TjGrinnell said:
I just have a question on the problem itself. If I am putting the satellite into orbit 450,000 m above the surface, then would r=6,371,000 m(earth's radius)+450,000 m?
Yes.
TjGrinnell said:
And what mass of Earth should I be using, in kg of course.
Look it up on the web, I have not memorized it.
 

Similar threads

Replies
5
Views
2K
  • · Replies 16 ·
Replies
16
Views
3K
Replies
5
Views
3K
Replies
5
Views
3K
Replies
5
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
Replies
37
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
1K