Thank you kuruman, I also derived a general expression
where v is the orbital (tangential) velocity, and theta is the angle between velocity and position vector.
I derived it by using the magnitude of angular momentum of reduced body (one body problem)
and equating that expression with...
Hello to all good people of physics forums. I just wanted to ask, whether the angular and linear (orbital) speed in perihelion of eliptical orbit are related the same way as in circular orbit (v = rw). If we take a look at the angular momentum (in polar coordinates) of reduced body moving in...
I get it, in my sim I use vectors, and in the denominator I subtract vectors then calculate the magnitude. In final result of my derivation, magnitudes of r1 i r2 would be equal if masses were equal so that would yield 0 in the denominator.
If I argued that velocity vectors were in opposite...
yes, sorry, speeds as I use vis viva equation to calculate relative speeds at every point, and with those equations I derived at the end I calculate velocities of single bodies. However, I do not have any such problems in my simulation, this is what I get for relative speed in perihellion of 1...
I believe you think that I equate expressions for two different bodies of the same mass which orbit each other, but in derivation I was referring only to one of two bodies, with it's momentum expressed in two different ways, and then by equating the expressions for momentum masses cancel out.
Thank you for you reply, yes I assume the masses are the same because I equate two expressions for angular momentum for the same body at the same position. That way I get how angular velocity is related to tangential velocity and distance from origin.
When only force acting on body is a central force, angular momentum is constant and given by:
L = mr^2 * w
where r is distance from origin, and w is angular velocity.
Angular momentum can also be written as following:
L = r x mv = rmv * sin(theta) where v is tangential velocity, which is...
Homework Statement
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∇ * B = 0 and ∇ X B = Mu * J. This is proved to hold not only for infinite wires but for magnetostatics in general.
Magnetostatics = steady current
Closed wire loop with constant current is certainly a magnetostatics example.
Magnetic field on z axis above loop around...
Thank you for all your answers. I believe I get it. I can't take radial unit vector outside the integral, cause it changes around path of integration, and it is obvious that it depends on the angle once I convert it to cartesian coordinates. Only cartesian unit vectors are safe to put in front...
1. The problem statement, all variables and given/known dana
I was revisiting University physics textbook and came across this problem. We learned new coordinate systems in classical mechanics classes so I wanted to see if I can apply this to the problem of force on semicircular part of the...