Problem 45553. SatCom #4: Satellite Orbit Altitude

Created by Mark Posen

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Satellite and Space Engineering - Problem #4</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:i/></w:rPr><w:t>This is part of a series of problems looking at topics in satellite and space communications and systems engineering.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Determine the altitude (height above the surface of the Earth) for a satellite in a circular Earth orbit with a known orbit period.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>You are given the satellite orbit period (in s). Calculate the orbit altitude (in km).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>You should take the radius of the Earth to be 6371km, the mass of the Earth to be 5.9722e24 kg and Newton's Universal Gravitational Constant to be 6.6743015e-11 m3/kg/s.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Hints: 1) Newton's Law of Universal Gravitation will tell you the force between the satellite and the Earth (see:</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation\"><w:r><w:t>&lt;https://en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation</w:t></w:r></w:hyperlink><w:r><w:t>&gt;); 2) The centripetal force maintaining the orbit (see:</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Centripetal_force#Formula\"><w:r><w:t>&lt;https://en.wikipedia.org/wiki/Centripetal_force#Formula</w:t></w:r></w:hyperlink><w:r><w:t>&gt;) should be equal to the gravitational force; 3) Hmmm... but what about the mass of the satellite?</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example: The altitude of a geostationary satellite, with orbit period 86164.0905 s is around 35,793 km.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:i/></w:rPr><w:t>Some future problems in this series will build on work done in previous problems, so if you get a working solution I suggest you hang onto the code!</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Satellite and Space Engineering - Problem #4This is part of a series of problems looking at topics in satellite and space communications and systems engineering.Determine the altitude (height above the surface of the Earth) for a satellite in a circular Earth orbit with a known orbit period.You are given the satellite orbit period (in s). Calculate the orbit altitude (in km).You should take the radius of the Earth to be 6371km, the mass of the Earth to be 5.9722e24 kg and Newton's Universal Gravitational Constant to be 6.6743015e-11 m3/kg/s.Hints: 1) Newton's Law of Universal Gravitation will tell you the force between the satellite and the Earth (see: <a href = "https://en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation">https://en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation</a>); 2) The centripetal force maintaining the orbit (see: <a href = "https://en.wikipedia.org/wiki/Centripetal_force#Formula">https://en.wikipedia.org/wiki/Centripetal_force#Formula</a>) should be equal to the gravitational force; 3) Hmmm... but what about the mass of the satellite?Example: The altitude of a geostationary satellite, with orbit period 86164.0905 s is around 35,793 km.Some future problems in this series will build on work done in previous problems, so if you get a working solution I suggest you hang onto the code!

*Satellite and Space Engineering - Problem #4*

_This is part of a series of problems looking at topics in satellite and space communications and systems engineering._

Determine the altitude (height above the surface of the Earth) for a satellite in a circular Earth orbit with a known orbit period.

You are given the satellite orbit period (in s). Calculate the orbit altitude (in km).

You should take the radius of the Earth to be 6371km, the mass of the Earth to be 5.9722e24 kg and Newton's Universal Gravitational Constant to be 6.6743015e-11 m3/kg/s.

Hints: 1) Newton's Law of Universal Gravitation will tell you the force between the satellite and the Earth (see: <https://en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation>); 2) The centripetal force maintaining the orbit (see: <https://en.wikipedia.org/wiki/Centripetal_force#Formula>) should be equal to the gravitational force; 3) Hmmm... but what about the mass of the satellite?

Example: The altitude of a geostationary satellite, with orbit period 86164.0905 s is around 35,793 km.

_Some future problems in this series will build on work done in previous problems, so if you get a working solution I suggest you hang onto the code!_

Solve

Solution Stats

88 Solutions
32 Solvers

Last Solution submitted on Sep 03, 2021

Last 200 Solutions

Problem Comments

Problem Recent Solvers32

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 45553. SatCom #4: Satellite Orbit Altitude

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers32

Suggested Problems

More from this Author7

Problem Tags

Community Treasure Hunt

Problem 45553. SatCom #4: Satellite Orbit Altitude

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers32

Suggested Problems

More from this Author7

Problem Tags

Community Treasure Hunt

Players