Calculating Circular Polar Orbit Parameters and Fractional Doppler Shift

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Homework Help Overview

The problem involves calculating parameters related to a satellite in a circular polar orbit, specifically at a height of 870 km, with a focus on determining the fractional Doppler shift when the satellite is first visible from a beacon at sea level. Additional questions pertain to another satellite in a 400 km high orbit, including its angular velocity, period, linear velocity, and the reasons for its low orbit.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to create a diagram to visualize the geometric relationships between the Earth, the observer, and the satellite. There is a suggestion to consider the relative motion of the satellite to understand the Doppler shift better. The original poster also inquires about further assistance on the next question.

Discussion Status

The discussion is ongoing, with participants exploring geometric interpretations and the implications of relative motion for the Doppler shift. Some guidance has been offered regarding the use of diagrams and the importance of understanding the geometry involved.

Contextual Notes

The original poster has provided a specific height for the satellite's orbit and has mentioned the average radius of the Earth, which may influence the calculations. There is also a reference to a similar satellite, prompting questions about its characteristics and operational reasons.

firdano
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Hii guys.I have this problem.Can anybody help me on this.tq

Homework Statement



A satellite is in a circular polar orbit at a height of 870 km, the orbital period being approximately 102 min. The satellite orbit passes directly over a beacon at sea level. Assuming an average value of earth’s radius of 6371 km determine approximately the fractional Doppler shift at the instant the satellite is first visible from the beacon.

A satellite is in a 400-Km high circular orbit.
Determine:
a) The orbital angular velocity in radians per second.
b) The orbital period in minutes.
c) The orbital linear velocity in meters per second.
d) There is a very important satellite orbiting the Earth doing astronomical research with a similar orbit. Which one is it?
f) Why it uses such a low orbit?


Homework Equations



maybe V = squareroot u/R.


The Attempt at a Solution



I'm using f = ( v/v+vs) fo.
 
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Try make a diagram of the situation that includes the position of the centre of earth, the observer and the satellite. Take note of which geometric distances and angles you know about. Then think about which direction of relative motion of the satellite relative to the observer that contributes to Doppler shift and see if you can relate that to the sketch you made.

The above hint is based on the assumption that you are supposed to utilize the special geometry that are present in the situation specified by the problem text. To calculate the Doppler shift for general satellite orbits and positions you would need some more complicated equations.
 
TQ for the solutions.

Anything for the next question?
 
Please explain which question you are stuck on and what you have tried already.
 

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