A navigation apparatus includes a GPS receiver, an error-circle-radius calculating subunit, and a vehicle-position calculating unit. The GPS receiver receives radio waves transmitted from a plurality of GPS satellites and produces a GPS position. The error-circle-radius calculating subunit detects elevation angles of the plurality of GPS satellites used for calculating the GPS position and a center-of-gravity position of the plurality of GPS satellites, and determines an error range around the GPS position on the basis of the detected elevation angles and the center-of-gravity position. The vehicle-position calculating unit calculates a current position using the GPS position obtained from the GPS receiver and the error range determined by the error-circle-radius calculating subunit.