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Central force law
Perhaps I can help.
For any object in orbit, the Earth exerts a force on the object and the object exerts a force on the Earth.
So we know from $F=ma$ that:
$$∑ F_θ=ma_θ$$
Using polar coordinates …
0
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1
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In central-force mechanics, how do we substitute $ξ=\frac{1}{r}$?
I have taken a look at central-force mechanics in the past, but I still cannot understand how $ξ=\frac{1}{r}$ is substituted to find $\frac{d^2r}{dt^2}$ in terms of ξ.
So I know from $F=ma$ that:
$$ …