  The disappearance of flight MH370 is possibly the greatest mystery in
aviation history. A large zone in the Southern Indian Ocean was searched
unsuccessfully leaving an open case and an unacceptable situation for the
family members. We discuss the scientific difficulties with locating the plane
through satellite data and develop an improved analysis using least square
curve fitting of analytical non-Euclidean route equations providing robust
topology-optimization with perturbation theory handling satellite movement. We
find four independent solutions with the final part of the flight following a
great circle. Two are located in stable minima for the error-function, and two
unstable ones agree poorly with most data. One stable solution coincides with
the Inmarsat-result, but fails to explain additional data. Our best solution
leads to an entirely different location agreeing with other data from debris,
acoustics, an eyewitness report, the received microwave power, several
contrails, two seismic detectors at Christmas Island, and with a mushroom
impact cloud providing the final proof where to find the rest of the airplane
and the black boxes.
