公开(公告)号：US20230358899A1

公开(公告)日：2023-11-09

申请号：US18314066

申请日：2023-05-08

Applicant: Dane R. Thompson

Inventor： Dane R. Thompson

IPC: G01S19/50

CPC classification number: G01S19/50 ,  A01G25/092

Abstract: A method and system for determining center coordinates of a circular arc uses a position sensor, such as a GPS receiver, for receiving position coordinates for a plurality of points along the circular arc. The position coordinates for the plurality of points are then processed using an algorithm developed based on the geometric relationship for a cone inscribed in a sphere, with the sphere representing the Earth, the position coordinates defining points along a base perimeter of the cone, and an apex of the cone being located at the center of the Earth. A regression model is used to determine the center coordinates of the circular arc in a three-dimensional coordinate system without converting the position coordinates into two-dimensional coordinates. The method and system can be used to determine center coordinates for a center pivot sprinkler monitoring system or a vehicle guidance system.