Understanding 3D Doppler Shift with Satellites

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Discussion Overview

The discussion revolves around understanding the three-dimensional Doppler shift experienced between two satellites orbiting the Earth at different velocities and altitudes. Participants explore how to calculate the Doppler shift when one satellite sends a signal to the other, considering factors such as relative velocity and gravitational effects.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant seeks to understand how to calculate the Doppler shift between two satellites with different velocities and altitudes.
  • Another participant suggests calculating the relative velocity of one satellite with respect to the other and then determining the Doppler factor, while also considering gravitational redshift.
  • A later reply emphasizes that the Doppler factor is influenced not only by relative speed but also by the angle between the velocity vector and the displacement vector, mentioning the transversal Doppler effect.
  • One participant acknowledges a previous oversight in their explanation regarding the velocity and expresses intent to correct it.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the exact method for calculating the Doppler shift, as there are multiple considerations and factors discussed, indicating ongoing exploration and debate.

Contextual Notes

Participants mention the importance of the relative angle between vectors and the gravitational redshift factor, suggesting that assumptions about these parameters may affect the calculations. There is also an indication that more detailed information about the participants' existing knowledge could facilitate better responses.

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TL;DR
Two satellite circling the earth with different velocities
I am trying to understand a case of doppler shift if I have two satellite circling the earth with different velocities but the same direction and with different altitudes as well. How I will be able to figure out the doppler shift in three dimension between the two satellite if one of the satellites is sending a signal to the other.
 
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Work out the velocity of one satellite with respect to the other, calculate the Doppler factor from the speed velocity (edit: corrected, with thanks to Orodruin) and multiply by the gravitational redshift factor.
 
Last edited:
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If you provide more detail about what you know already, it might be easier to provide more helpful answers
 
Ibix said:
Work out the velocity of one satellite with respect to the other, calculate the Doppler factor from the speed, and multiply by the gravitational redshift factor.
It is not sufficient to know the relative speed. The Doppler factor also depends on the relative angle between the velocity vector and displacement vector. For example, the transversal Doppler effect is just a gamma factor.
 
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I was going to say "yes, that's why I wrote velocity" but I see I didn't the second time. Will correct that.
 
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