I want to find out an unknown target location (latitude and longitude co-ordinates). There are 3 known points (latitude and longitude co-ordinate pairs) and for each point a distance in kilometers to the target location. How can I calculate the co-ordinates of the target location?
For example, say I have the following data points
37.418436,-121.963477 0.265710701754km37.417243,-121.961889 0.234592423446km37.418692,-121.960194 0.0548954278262kmWhat I'd like is what is the math for a function that takes that as input and returns 37.417959,-121.961954 as output.
I understand how to calculate the distance between two points, from http://www.movable-type.co.uk/scripts/latlong.html I understand the general principle that with three circles like these you get exactly one point of overlap. What I'm hazy on is the math needed to calculate that point with this input.
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For example, say I have the following data points
37.418436,-121.963477 0.265710701754km37.417243,-121.961889 0.234592423446km37.418692,-121.960194 0.0548954278262kmWhat I'd like is what is the math for a function that takes that as input and returns 37.417959,-121.961954 as output.
I understand how to calculate the distance between two points, from http://www.movable-type.co.uk/scripts/latlong.html I understand the general principle that with three circles like these you get exactly one point of overlap. What I'm hazy on is the math needed to calculate that point with this input.
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