The　hydraulic-mechanical　differential　steering　enables　the　tracked　vehicle　to　traverse　the　complex　terrain　environment.　Therefore,　this　paper　analyzes　the　principle　of　the　mechanical　differential　steering　of　the　tracked　vehicle,　establishes　the　mathematical　model　of　the　variable　pump　quantitative　motor,　then　the　dynamic　model　of　the　slope　center　steering　is　analyzed.　The　variation　law　of　required　traction　force　and　azimuth　angle　under　different　braking　forces　and　slope　inclinations　is　analyzed　to　determine　whether　stable　steering　can　be　achieved　based　on　MATLAB/Simulink.　©　COPYRIGHT　SPIE.　Downloading　of　the　abstract　is　permitted　for　personal　use　only.