EM length of gravitational waves

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SUMMARY

The discussion centers on the comparison of gravitational wave lengths to traditional electromagnetic (EM) wavelengths, particularly in the context of LIGO's detection of gravitational waves from merging black holes. It is established that gravitational waves detected by LIGO have frequencies ranging from approximately 30 Hz to a few hundred Hz, with a typical value of 100 Hz. Using the wave equation v = fλ, where v is the speed of light (300,000 km/s), the corresponding wavelengths can be calculated. The conversation highlights the complexity of gravitational waves, which do not have a constant wavelength and exhibit a "chirp" pattern as the black holes spiral towards each other.

PREREQUISITES
  • Understanding of gravitational waves and their detection methods, specifically LIGO.
  • Familiarity with electromagnetic wave properties and the electromagnetic spectrum.
  • Basic knowledge of wave equations and frequency-wavelength relationships.
  • Awareness of astrophysical concepts related to black hole mergers.
NEXT STEPS
  • Research the mathematical derivation of wave properties using the equation v = fλ.
  • Explore the concept of gravitational wave "chirps" and their significance in astrophysics.
  • Study the LIGO detection process and the technology behind gravitational wave observatories.
  • Investigate the relationship between gravitational waves and electromagnetic waves in theoretical physics.
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Astronomers, physicists, and students interested in gravitational wave research, as well as anyone seeking to understand the implications of LIGO's findings on black hole dynamics and wave physics.

pioneerboy
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Maybe a stupid question and maybe sensless to ask, but as I don't know, I ask anyway:
what is the length of the newly found gravitational waves in terms of traditional EM wavelengths?
 
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pioneerboy said:
Maybe a stupid question and maybe sensless to ask, but as I don't know, I ask anyway:
what is the length of the newly found gravitational waves in terms of traditional EM wavelengths?

I would think it would be the same as the frequency with which the two bodies orbited one another. I'd think that would be gigameters.
 
pioneerboy said:
what is the length of the newly found gravitational waves in terms of traditional EM wavelengths?

unless they finally come together in the "unified theory" that physicists are searching for
putting gravitational waves and EM waves in the same sentence doesn't make senseDave
 
pioneerboy said:
what is the length of the newly found gravitational waves in terms of traditional EM wavelengths?

The range of wavelengths is mentioned in this post in the humongous thread about this experiment in our relativity forum:

https://www.physicsforums.com/threads/advanced-ligo-detection.836670/page-6#post-5374990

It's a range because the signal didn't have a constant wavelength and frequency. The frequency increased with time (and the wavelength decreased) in a pattern that has been described as a "chirp."

If by "in terms of traditional EM wavelengths" you mean which electromagnetic waves have similar wavelengths, look up the wavelengths referenced above, in a diagram of the electromagnetic spectrum on Wikipedia or elsewhere. I'm on my way to dinner... :oldwink:
 
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From the article you cited:
If two black holes are stably orbiting each other, they produce a continuous stream of gravitational waves at twice the orbital frequency, carrying away the system's rotational energy and angular momentum. Such ripples are thought to have wavelengths that are tens of light-years and are relatively weak.
(I added the boldface.) But these are not the gravitational waves that LIGO detected.

What LIGO detected was the stronger waves radiated as the two BHs were spiraling towards each other, faster and faster (higher and higher frequency), just before they merged. I can't lay my fingers on it at the moment, but I remember reading that the detected frequency varied from maybe 30 Hz up to a few hundred Hz. Choose 100 Hz as a typical value. Using v = fλ and v = c = 300000 km/s, what do you get for λ?
 
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jtbell said:
From the article you cited:

(I added the boldface.) But these are not the gravitational waves that LIGO detected.

What LIGO detected was the stronger waves radiated as the two BHs were spiraling towards each other, faster and faster (higher and higher frequency), just before they merged. I can't lay my fingers on it at the moment, but I remember reading that the detected frequency varied from maybe 30 Hz up to a few hundred Hz. Choose 100 Hz as a typical value. Using v = fλ and v = c = 300000 km/s, what do you get for λ?
Thanks for clarification.
 
davenn said:
unless they finally come together in the "unified theory" that physicists are searching for
putting gravitational waves and EM waves in the same sentence doesn't make senseDave

Yes, but gravity waves and EM waves are quite similar in form. They are both consequences of an attractive force in 3+1D. They both propagate at c. So the wavelengths seem like the same thing to me.
 

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