Patent ID: 8384589

Claim:
A positioning apparatus comprising: a first positioning device configured to calculate a reception position of a GPS receiver with respect to each possible combination of a plurality of positioning satellites selected from a group of positioning satellites based on a pseudo distance from each positioning satellite to the reception position, wherein the GPS receiver calculates the pseudo distance based on a satellite signal transmitted from a corresponding satellite and outputs the pseudo distance to the first positioning device; a component error calculator configured to calculate an error of at least one component in a calculation result of the first positioning device with respect to each possible combination of the plurality of positioning satellites; a pseudo distance error calculator configured to obtain a relation equation with respect to each possible combination of the plurality of positioning satellites between the error of the at least one component with respect to a corresponding combination of the plurality of positioning satellites and an error of the pseudo distance from each positioning satellite to the reception position based on the error of at least one component calculated by the component error calculator, and for solving simultaneous equations comprising the relation equation so that the error of the pseudo distance with respect to each positioning satellite is calculated; and a second positioning device configured to correct the reception position based on the error of the pseudo distance with respect to each positioning satellite calculated by the pseudo distance error calculator, wherein a first number of the group of positioning satellites is greater than a second number of the plurality of positioning satellites.