Galilean moons century when other inner moons were discovered, and Marius' names became widely used. Galileo was able to develop a method of determining longitude based on the timing of the orbits of the Galilean moons. The times of the eclipses of the moons could be precisely calculated in advance, and compared with local observations on land or on ship to determine the local time and hence longitude. The main problem with the technique was that it was difficult to observe the Galilean moons through a telescope on a moving ship; a problem that Galileo tried to solve with the invention of
Derivations of the Lorentz transformations transformation matrices are consistent with group postulates: If then we get the Galilean-Newtonian kinematics with the Galilean transformation, where time is absolute, , and the relative velocity of two inertial frames is not limited. If , then we set formula_117 which becomes the invariant speed, the speed of light in vacuum. This yields and thus we get special relativity with Lorentz transformation where the speed of light is a finite universal constant determining the highest possible relative velocity between inertial frames. If the Galilean transformation is a good approximation to the Lorentz transformation. Only experiment can answer the question which