How Do You Calculate Earth's Radial and Transverse Velocity Components?

AI Thread Summary
To calculate Earth's radial and transverse velocity components, start with the equation r = 1/A + Bcos(theta), where A and B are constants. The radial velocity can be found by differentiating r with respect to time, dr/dt, while the transverse velocity is given by r*dθ/dt. The discussion emphasizes differentiating the motion equation to derive these components. Additionally, the relationship for theta dot is provided, which aids in calculating angular velocity. Understanding these concepts will guide the solution process effectively.
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Homework Statement


Find the radial and transverse components of the velocity and acceleration of the Earth, in terms of (theta) and (theta dot=d(theta)/dt)



Homework Equations


r=1/A+Bcos(theta)
Where A and B are constants given as A=0.666667x10^-11 and B=0.113333x10^-12
(theta dot)=(1/r^2)(sqrt(GM/A))

The Attempt at a Solution


I'm not quite sure how to start the problem, so if someone could give me a push in the right direction for working this question out that would be a big help.
I would prefer to work it out myself, so i am not asking for the answer, just where to start the question.

Thanks :)
 
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Wouldn't the radial velocity be dr/dt and the transverse velocity r*dθ/dt ?
Just differentiate your r=1/A+Bcos(theta), the equation of motion for the Earth around the sun, to find those velocities.
 
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