Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Promoted
Calculate the altitude of a satellite in Geosynchronous orbit, starting with the formula for orbital velocity, and include the period.?
1 Answer
Relevance
- ?Lv 73 months agoFavorite Answer
orbital velocity: v = 2πr / T
where r is the radius and T the period.
For orbit, centripetal acceleration = gravitational acceleration
v²/r = GM/r²
r = GM / v² = GM / (2πr/T)² = GMT² / 4π²r²
r = ³√(GMT² / 4π²) →→ for geosynch, T = 24*3600s
r = ³√(6.674e−11N·m²/kg²*5.98e24kg*(24*3600s)² / 4π²)
r = 4.23e7 m
To get the altitude, subtract 1 Earth radius:
h = r - Re = 4.23e7m - 6.371e6m = 3.6e7 m
Still have questions? Get your answers by asking now.