Two particle system - find their angular velocities

1 reply · 4K views · last reply
Alexanddros81
Messages
177
Reaction score
4
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



Handwritten solution to Problem 2.1: two equal masses m1 and m2 a distance d apart with equal and opposite gravitational forces F12 and F21, a rotating diagram with a_n = Rω² and R + R = d, and the derived result ω = √(2Gm/d³).


Is this the right way to solve this problem?
 
Attachments
  • Handwritten solution to Problem 2.1: two equal masses m1 and m2 a distance d apart with equal and opposite gravitational forces F12 and F21, a rotating diagram with a_n = Rω² and R + R = d, and the derived result ω = √(2Gm/d³).
    Orbital Mechanics 2_1.jpg
    15.3 KB · Views: 1,450