I'm trying to find the foci of an ellipse. If you know the major and minor axis, this is easy.
I'm my case, I know the major axis and the radius of the ellipse.
Is there an easy way then to find the foci?
Edit: just realised there may not be a unique ellipse? Any opinions?
Agreed, but I think there may be another solution, specific to the specific problem I'm working on.r1 + r2 = 2a. So as already mentioned, you don't have enough information to uniquely define the ellipse.
I'm working on a kind of sonar problem. I'm transmitting a signal from one loudspeaker to a microphone. The signal is transmitted outwards, meets an obstacle, is reflected and recieved at a microphone, as shown in the diagram below:
I know the total distance from the loudspeaker to the obstacle and back to the microphone. The signal can't go behind the loudspeaker (to the right) or to the left of the microphone, so this makes it a special type of ellipse. I think the obstacles location is on an ellipse where the foci and the end points of the major axis overlap?!
I'm not sure, I just think there should be a unique ellipse for this problem?
Do you know the distance between the microphone and the loudspeaker? If you do, then that will determine the shape of the ellipse.