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
Representation theory of the Galilean group which may be identified with the time of transfer. These states are naturally interpreted as the carriers of instantaneous action-at-a-distance forces. N.B. In the -dimensional Galilei group, the boost generator may be decomposed into with playing a role analogous to helicity. Representation theory of the Galilean group In nonrelativistic quantum mechanics, an account can be given of the existence of mass and spin (normally explained in Wigner's classification of relativistic mechanics) in terms of the representation theory of the Galilean group, which is the spacetime symmetry group of nonrelativistic quantum mechanics. In dimensions, this is the subgroup of the affine