What is the speed of a satellite in a circular orbit around the Earth?

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SUMMARY

The speed of a satellite in a circular orbit around the Earth can be calculated using the formula v = √(GM/r), where G is the gravitational constant (6.674×10-11 m3kg-1s-2), M is the mass of the Earth (5.98×1024 kg), and r is the radius of the orbit. For a satellite at a radius of 2.93 times the mean radius of the Earth (approximately 2.93 × 6.37×106 m), the orbital speed is calculated to be approximately 3,800 m/s. This calculation is essential for understanding satellite dynamics and orbital mechanics.

PREREQUISITES
  • Understanding of gravitational force and Newton's law of universal gravitation
  • Familiarity with the formula for orbital speed
  • Basic knowledge of physics constants such as G (gravitational constant)
  • Ability to perform unit conversions (e.g., kilometers to meters)
NEXT STEPS
  • Study the derivation of the orbital speed formula in detail
  • Explore the effects of varying orbital radius on satellite speed
  • Learn about different types of orbits, such as geostationary and polar orbits
  • Investigate the impact of atmospheric drag on satellite speed and trajectory
USEFUL FOR

Aerospace engineers, astrophysicists, students studying orbital mechanics, and anyone interested in satellite technology and physics.

hatingphysics
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Find the speed of a satellite in a circular orbit around the Earth with a radius 2.93 times the mean radius of the Earth; RE= 6.37·103 km ME= 5.98·1024 kg
 
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