Two particle system - find their angular velocities

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The discussion revolves around solving a problem from "Orbital Mechanics for Engineering Students" regarding two particles of identical mass influenced by their mutual gravitational force. The problem requires finding the angular velocity of the line connecting the particles, given that their distance remains constant. The proposed solution involves using Newton's second law with the center of mass as the reference point, leading to the derived formula for angular velocity: ω=sqrt{2Gm/d^3}. Participants confirm that this approach appears correct for solving the problem. The conversation emphasizes the application of fundamental physics principles in orbital mechanics.
Alexanddros81
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Hi! I want to start solving problems from the text
'Orbital Mechanics for Engineering students' by Curtis 2nd edition.
Is this the right place to post?

Homework Statement


2.1 Two particles of identical mass m are acted on only by the gravitational force
of one upon the other. If the distance d between the particles is constant, what is the
angular velocity of the line joining them?
Use Newton's second law with the center of mass of the system as the origin of
the inertial frame.
{Ans.: ##ω=sqrt{2Gm/d^3}

Homework Equations

The Attempt at a Solution



Orbital Mechanics 2_1.jpg


Is this the right way to solve this problem?
 

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Looks good.
 
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