Abstract: A system comprises a mobile machine including a first portion and a second portion, a positioning receiver coupled with the first portion of the mobile machine, a sensor for determining a position of the first portion of the mobile machine relative to the second portion of the mobile machine, and one or more computing devices. The one or more computing devices are configured to use information from the positioning receiver to determine a geographic location of the positioning receiver, use information from the sensor to determine a position of the first portion of the mobile machine relative to the second portion of the mobile machine, and adjust a navigation point offset according to the position of the first portion of the mobile machine relative to the second portion of the mobile machine, the navigation point offset being a difference in location between the positioning receiver and a navigation point.

Abstract: A mobile machine comprises a wheel for supporting the machine on a ground surface, the wheel including a tire defining an outer portion of the wheel, and further comprises a positioning receiver and one or more computing devices. The one or more computing devices determine a travel characteristic of the machine, a rotational speed of the wheel, a radius of the tire based on the rotational speed of the wheel and the travel characteristic, and a height of the positioning system receiver from the ground surface using the radius of the tire. The one or more computing devices may adjust the travel characteristic of the machine or the rotational speed of the wheel to compensate for wheel slip, and use the adjusted travel characteristic or adjusted rotational speed of the wheel to determine the radius of the tire.