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kingstar
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Homework Statement
The velocity of a body traveling in a circular orbit around another body situated at the centre of
the circle, is given by
v = √(GM/r)
where G is the Universal Gravitational constant, M is the mass
of the central body and r is the radius of the orbit. By taking natural logs (ln) of both sides
rearrange the equation in the form of a straight line equation, with r as the independent variable
and identify the meaning of the gradient and the meaning of the intercept
Homework Equations
v = √(GM/r)
The Attempt at a Solution
ln v = (1/2)ln(GM) - (1/2)lnr
y = ln v
x = lnr
c = (1/2)ln(GM)
m = -1/2
I solved the first part but was unsure as to how to answer this part of the question 'identify the meaning of the gradient and the meaning of the intercept'