Find coordinates of $D$, given coordinates of $A,B,C$, torsion angle and angle between $BCD$.
Is there any other way other than the torsion angle equation, $$n_1=\langle b_1\times b_2\rangle \;\text{ and }\; n_2=\langle b_2\times b_3\rangle $$ $$\phi = \cos^{-1}\left(\frac{n_1.n_2}{\|n|\ \|m\|} \right)\tag{A} $$
I will have to write a program to calculate the co-ordinates, so the eqn $(A)$ is bit problematic to use, since $D$ contains the variables here. Can you suggest a better way?
After a long wait, I found my answer. The forum was of literally no help, since no one could give the solution.
Please find the details in this paper: Molecular Distance Geometry Problem