A positioning apparatus includes: a position measuring section to obtain measured position data by measuring its own present position; a positioning controlling section to control operation timing of the position measuring section to make the position measuring section discontinuously obtain the measured position data; a movement measuring section to measure a movement operation; a moving method judging section to judge a moving method based on a measurement result of the movement measuring section; a map data storage section to store information of a rail route map; and a migration path judging section to judge a migration path in a period judged to be a moving state by an electric train by the moving method judging section based on the measured position data measured by the position measuring section and the information of the rail route map.