Calculating Speed and Acceleration of a Gas Blob Orbiting a Massive Black Hole

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Discussion Overview

The discussion revolves around calculating the speed and acceleration of a gas blob orbiting a massive black hole, specifically addressing the parameters of the black hole's mass and the distance of the orbit. The scope includes orbital mechanics and astrophysical concepts.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents the problem of a gas blob in orbit around a black hole with a specified mass and distance, seeking to determine its speed and acceleration.
  • Another participant suggests that the mass of the black hole should be interpreted as 10^6 solar masses rather than 106 solar masses, indicating a potential misunderstanding in the notation.
  • Some participants express uncertainty regarding the interpretation of the term "mega-maser" and its relation to the gas blob, questioning whether the emission travels at light speed and how it relates to orbital mechanics.
  • One participant asserts confidence in the interpretation of the problem as asking for the speed and acceleration of the blob, suggesting formulas for calculating these values.

Areas of Agreement / Disagreement

Participants exhibit disagreement regarding the interpretation of the problem and the role of the mega-maser. While some agree on the need to calculate speed and acceleration, others question the clarity of the original question and the implications of the terms used.

Contextual Notes

There are unresolved assumptions regarding the definitions of terms like "mega-maser" and the implications of the black hole's mass notation. The discussion reflects varying interpretations of the problem statement.

naushaan
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TL;DR
Hi everyone,
I'm confused with how to calculate the speed and accelerations of gas blobs emitted from mega-masers in orbit around massive black holes in the centre of a galaxy.
A mega-maser-emitting blob of gas is in orbit around a massive black hole in the centre of a galaxy. The black hole has a mass of 106 solar masses, and the blob of gas is in a circular orbit one light year away. What is the speed and acceleration of the blob?
 
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This is a simple orbital mechanics problem. What is the speed and acceleration of an object orbiting at a distance R around a body of mass M? By the way, I suspect you mean 10^6 solar masses, not 106 solar masses.
 
phyzguy said:
This is a simple orbital mechanics problem. What is the speed and acceleration of an object orbiting at a distance R around a body of mass M? By the way, I suspect you mean 10^6 solar masses, not 106 solar masses.

Did he ask that? You could read it as an object (mega-maser) launching something (a blob). The object has the orbital mechanics. If it really is just a maser then the emission travels at light speed.

I am not sure if I understood astrophysical masers. I thought the molecules were all around an object and not necessarily in a particular orbit.
 
stefan r said:
Did he ask that? You could read it as an object (mega-maser) launching something (a blob). The object has the orbital mechanics. If it really is just a maser then the emission travels at light speed.

I am not sure if I understood astrophysical masers. I thought the molecules were all around an object and not necessarily in a particular orbit.
I don't know how else to interpret, "the blob of gas is in a circular orbit one light year away. What is the speed and acceleration of the blob?"
 
phyzguy said:
I don't know how else to interpret, "the blob of gas is in a circular orbit one light year away. What is the speed and acceleration of the blob?"

yes i think that's exactly how to do it, i think i figured it out by using the formulas a=v^4/GM and v=(GM/r)^1/2. thank you!
 

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