How Does Altitude Affect the Frequency of a 1GHz Signal from a Satellite?

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SUMMARY

The discussion focuses on calculating the frequency shift of a 1GHz signal broadcast from a satellite at an altitude of 35,600 km. Participants utilize the gravitational formula g=Gm/r² and the frequency shift equation f(observed)=f(emit){1 +/- gh/c²} to derive the observed frequency. Key variables include "wo" (wavelength measured by an observer), "we" (wavelength at the source), and "r" (distance). The conversation emphasizes the relationship between gravitational effects and signal frequency as influenced by altitude.

PREREQUISITES
  • Understanding of gravitational force calculations using g=Gm/r²
  • Familiarity with frequency shift equations in physics
  • Knowledge of the speed of light (c) and its role in wave mechanics
  • Basic concepts of satellite communication and signal transmission
NEXT STEPS
  • Research the effects of altitude on satellite signal propagation
  • Learn about gravitational redshift and its implications in astrophysics
  • Explore advanced satellite communication techniques and frequency modulation
  • Study the relationship between wavelength and frequency in electromagnetic waves
USEFUL FOR

Students in physics, satellite communication engineers, and anyone interested in the effects of gravity on signal transmission from satellites.

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Homework Statement


sky tv is broadcast from a satellite in orbit at an altitude of 35600km. By considering the defference between the satellite and the surface of the Earth , find the frequency shift of a 1GHz signal broadcast to the earth.
(i have been given radius and mass of the earth.


Homework Equations


g=Gm/r^2, f(observed)=f(emit){1 +/- gh/c^2}


The Attempt at a Solution


find g
f(emitted)=1GHz
how do i calculate f(observed)?
 
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(G*M) / (r * c^2) = (wo - we) / we

"wo" is the wavelength of the photon as measured by a distant observer.
"we" is the wavelength of the photon when measured at the source of emission.
and "r" is distance

w = c / f (c=speed of light)----------------
Pooya Afaghi
 

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