A gun targeting system (10) comprising a chassis (200). A gun barrel (300) is mounted to the chassis (200) by a pivot mount (304). The system also comprises a chassis suspension system (400) comprising a plurality of wheel arms (402), each wheel arm (402) extending away from a different chassis mount (220) on the chassis (200) to a respective wheel (404), each wheel (404) being rotatably mounted on its respective wheel arm (402), each wheel (404) configured for engagement with a support surface (500). The gun targeting system (10) is operable to position the barrel (300) towards an orientation to target an object by pivoting one or more wheel arms (402) relative to the chassis (200) and/or by pivoting one or more wheels (404) relative to its respective wheel arm (402) and/or by rotating one or more wheels (404) relative to its respective wheel arm (402).