Equilibrium between 1 stationary mass and 1 orbiting mass

  • Thread starter Thread starter cm_student
  • Start date Start date
  • Tags Tags
    Equilibrium Mass
Click For Summary

Homework Help Overview

The discussion revolves around calculating the distance required for two celestial bodies, one stationary and one orbiting, to maintain a state of equilibrium. The original poster has provided various parameters such as mass, density, radius, volume, and gravity of the bodies but is struggling to find a suitable equation to determine the necessary distance between them.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to equate centripetal force with gravitational force to find the distance. There is also mention of requiring the orbital period for calculations. Some participants question the feasibility of a universal distance for the two-body problem.

Discussion Status

The discussion is ongoing, with some guidance provided regarding the relationship between forces. However, there is no consensus on a specific method or solution, and multiple interpretations of the problem are being explored.

Contextual Notes

There is a suggestion that the original poster's question may lack clarity in the context of physics, and one participant notes that a universal distance may not exist, indicating a need for further exploration of the assumptions involved.

cm_student
Messages
7
Reaction score
0
I am trying to find the easiest and simplest way of calculating the distance that two celestial bodies would need to be apart, in order for those celestial bodies to never get closer or further away from each other. I have the values of the mass, density, radius, volume and gravity of the two celestial bodies, is it possible to use the values I have to work out how far apart they would need to be to remain in a state of equilibrium? The smaller mass(M1) is orbiting around the larger mass(M2).


I tried to use the following equation, but to no avail because I neither have the gravitational force(F) nor do I have the radial distance (r) between the masses.

Newton's law of gravity: F = (M1 * M2) / r^12

I am looking for an equation that will help me to solve this problem for all planetary bodies.
Thanks for any and all help. Please keep answers as simple as possible :D
 
Physics news on Phys.org
You'd need to find where the centripetal force = Gravitational force.

But you would need something like the orbital period to get the distance.

EDIT: Use the original thread where ehild is helping you
 
Last edited:
cm_student said:
I am trying to find the easiest and simplest way of calculating the distance that two celestial bodies would need to be apart, in order for those celestial bodies to never get closer or further away from each other.

Your question has not much sense in the language of Physics. I tried to explain the situation which is real and seemed to relate to your problem.

The answer to your question is that there is no such universal distance for the case of two bodies but infinity.

ehild
 
I sincerely thank you for trying to help ehild. At least you tried :)
 

Similar threads

Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
16
Views
2K
Replies
20
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
1
Views
2K
Replies
17
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K