Distance between two orbiting bodies

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Discussion Overview

The discussion revolves around the calculation of the distance between two bodies in orbit, specifically focusing on the two-body problem in the context of Newtonian mechanics and gravitation. Participants inquire about relevant formulas and methods for determining this distance and its derivation.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant asks for a formula to calculate the distance between a mass in orbit and another fixed mass, along with its deduction.
  • Another participant suggests consulting an introductory textbook on Newtonian mechanics and gravitation for guidance.
  • A different participant mentions the "two-body problem" and notes that calculus may be required.
  • Participants inquire about the orbital time, indicating it as a necessary parameter for calculations.
  • One participant proposes using an Excel sheet to input values for mass and distance to iteratively find the orbital time through trial and error.

Areas of Agreement / Disagreement

There is no consensus on a specific formula or method, and multiple approaches are suggested, indicating that the discussion remains unresolved.

Contextual Notes

Participants have not provided specific assumptions or definitions regarding the masses or the nature of the orbit, which may affect the calculations discussed.

Vicara
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Hi to everyone
There is a formula out there to calculate te distance between a mass that is in orbit arround anhoter fix mass?
(And its deduction)
 
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I suggest looking in an introductory textbook on Newtonian mechanics and gravitation.
 
Orodruin said:
I suggest looking in an introductory textbook on Newtonian mechanics and gravitation.
Any recommendation?
 
Vicara said:
Hi to everyone
There is a formula out there to calculate te distance between a mass that is in orbit arround anhoter fix mass?
(And its deduction)
Google for "two-body problem". You'll need some calculus.
 
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do you have an orbit time ?
 
dean barry said:
do you have an orbit time ?
Yes
 
why don't you set up an excel sheet, with inputs for mass 1, mass 2, and centre to centre distance, put in some example values, then process through the appropriate maths to reveal an orbit time, then adjust the centre to centre distance if required to close in on the required result, trial and error i know but it will familiarlise you with the equations etc.
 
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dean barry said:
why don't you set up an excel sheet, with inputs for mass 1, mass 2, and centre to centre distance, put in some example values, then process through the appropriate maths to reveal an orbit time, then adjust the centre to centre distance if required to close in on the required result, trial and error i know but it will familiarlise you with the equations etc.
Hmm, okay, I'll try
Thanks!
 

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