How do I solve for the object distance to each receiver for three radar receivers on the ground, each the same distance from the other, and each receiving echoes, reflected from an object overhead, of a signal pulse from a single transmitter located on the ground at the exact center of the receivers? Transmitter is located at the exact center of an equlaternal triangle bounded by the the three receivers. The transmitter is t. The three receivers are a, b, c. The overhead object is o.The physical distance between each pair of receivers is known. (ab, bc, ca ) The time it takes the signal from the transmitter to the object and echoed back to each receiver are known (toa, tob, toc). These three times will be equivalent if the object is directly overhead the transmitter. The three times will be different if the object is at a different distance from each receiver.The signal from transmitter, reflected from object, and received by receivers, always travels at a constant speed 's'.Ground is a plane. Any environmental factor (such as air density) that affects speed of transmission pulse is a constant.Instead of radar, could be laser-based, as well.
how to solve distance from overhead object to each of 3 ground-based radar receivers
linear algebra;computational geometry;modeling