Astrophysics - calculating orbital period

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Homework Help Overview

The discussion revolves around calculating the orbital period of a satellite in low-Earth orbit, specifically exploring the relationship expressed as P = C(1 + 3h/2R_E), where h represents the height of the satellite, C is a constant, and R_E is the radius of the Earth.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using centripetal acceleration and Newton's law of gravitation as starting points. Some express uncertainty about how to proceed with the calculations, while others suggest alternative expressions for centripetal acceleration.

Discussion Status

The conversation is ongoing, with participants providing hints and guidance to each other. Some have proposed using different forms of equations to relate variables, but there is no clear consensus or resolution yet.

Contextual Notes

Participants are navigating through the problem with varying levels of understanding and are questioning the application of specific equations in the context of the orbital period calculation.

superdave
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Homework Statement


Show that a satellite in low-Earth orbit is approximately P = C(1 + 3h/2R_E) where h is the height of the satellite, C is a constant, and R_E is the radius of the earth)

Homework Equations



Unsure

The Attempt at a Solution



I have no idea how to approach this.
 
Last edited:
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hi superdave! :smile:

(try using the X2 icon just above the Reply box :wink:)

use centripetal acceleration and Newton's gravtiational law …

what do you get? :smile:
 
a= GM/r2 =v2/r

v2=GM/r

Aaand, I'm stuck again.
 
hi superdave! :smile:

(just got up :zzz: …)

hint: you need P, so write the centripetal acceleration as ω2r instead of v2/r :wink:

(and then compare r with r+h)
 

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