Understanding 3D Doppler Shift with Satellites

Click For Summary
SUMMARY

This discussion focuses on calculating the 3D Doppler shift between two satellites orbiting Earth at different velocities and altitudes. Key steps include determining the relative velocity of one satellite with respect to the other, calculating the Doppler factor based on this speed, and incorporating the gravitational redshift factor. Additionally, the discussion emphasizes the importance of the relative angle between the velocity vector and the displacement vector, as it influences the Doppler factor, particularly in the context of the transversal Doppler effect.

PREREQUISITES
  • Understanding of 3D vector mathematics
  • Familiarity with Doppler effect principles
  • Knowledge of gravitational redshift concepts
  • Basic satellite dynamics and orbital mechanics
NEXT STEPS
  • Research the calculation of the Doppler factor in three dimensions
  • Study the effects of gravitational redshift on satellite signals
  • Learn about the transversal Doppler effect and its implications
  • Explore satellite velocity calculations and their impact on signal transmission
USEFUL FOR

Aerospace engineers, astrophysicists, and anyone involved in satellite communication and signal processing will benefit from this discussion.

Alia_3
Messages
1
Reaction score
0
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.
 
Astronomy news on Phys.org
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:
  • Like
Likes   Reactions: vanhees71
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.
 
  • Like
Likes   Reactions: vanhees71
I was going to say "yes, that's why I wrote velocity" but I see I didn't the second time. Will correct that.
 
  • Like
Likes   Reactions: vanhees71

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
Replies
14
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 5 ·
Replies
5
Views
3K