I want to do an animation of an object which moves in the space with non linear
trajectory and I want the camera to follow the movements, but I can't do this,
because when I change the "location" and "look_at vectors", the perspective
changes suddenly; i've tried to use the "sky" statement, but I don't exactly
know how it works and if it helps me.

To do an example, if I want do move the camera from:

x = 0
y = 0
z = 0

to

x = 10
y = 5
z = 12

pointing always the same point with a parabolic trajectory, which parameters
have I to give to my camera statement? How can I rotate the camera in the space?

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