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The path a body takes while moving through space under the influence of the gravitational forces of other bodies

4 votes
3 answers
2k views

Relation between velocity and position vector in a central force

I am aware that the dot product of the position and velocity vector, $(\vec{r}\cdot\vec{v})$, in circular motion under a central force, $F(r)=-\frac{k}{r^2}$, is equal to zero as the two vectors are a …
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