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decerto

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On page 108 in Goldstein 3rd edition in the paragraph after equation (3.94) he says that ##\psi##` can be obtained from the orbit equation (3.36) using the limits as ##r_0=\infty## ##r=r_m## which the distance of closest approach and ##\theta_0=\pi## which is the initial direction.

So looking at the diagram on the top of the page this angle he is calculating ##\theta## seems to me to be exactly ##\psi## but he says that ##\psi=\pi-\theta##

When we start at ##r=\infty , \theta = \pi## and move to ##r=r_m## on the diagram the corresponding angle traced out is ##\theta=\psi## where am I going wrong/The book is here for anyone who doesn't have it.

So looking at the diagram on the top of the page this angle he is calculating ##\theta## seems to me to be exactly ##\psi## but he says that ##\psi=\pi-\theta##

When we start at ##r=\infty , \theta = \pi## and move to ##r=r_m## on the diagram the corresponding angle traced out is ##\theta=\psi## where am I going wrong/The book is here for anyone who doesn't have it.

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