We　study　the　multi-pulse　jumping　double-parameter　homoclinic　orbits　and　chaotic　dynamics　of　the　eccentric　rotating　ring　truss　antenna　under　combined　the　parametric　and　external　excitations　for　the　first　time.　Considering　combined　the　parametric　and　external　excitations,　the　averaged　equations　of　the　eccentric　rotating　circular　cylindrical　shell　are　obtained　in　the　case　of　the　primary　parametric　resonance-1/2　sub-harmonic　resonance　and　1:2　internal　resonance　by　using　the　perturbation　analysis.　From　the　averaged　equation,　the　theory　of　normal　form　is　applied　to　find　the　explicit　expression　of　the　eccentric　rotating　circular　cylindrical　shell　under　combined　the　parametric　and　external　excitations.　Based　on　the　extended　Melnikov　method,　we　study　the　multi-pulse　double-parameter　homoclinic　bifurcation　and　chaos　of　the　eccentric　rotating　circular　cylindrical　shell　under　combined　the　parametric　and　external　excitations　and　also　estimate　the　double-parameter　chaotic　threshold.　Numerical　simulations　are　utilized　to　study　double-parameter　chaotic　dynamic　behaviors　of　the　eccentric　rotating　circular　cylindrical　shell　under　combined　the　parametric　and　external　excitations　based　on　the　double-parameter　Lyapunov　exponents.　When　one　of　the　excitations　is　constant,　it　is　found　that　the　temperature　parametric　excitation　directly　decides　the　occurrence　of　the　chaotic　motion　and　the　external　excitation　determines　the　paths　to　chaos.　It　is　also　known　that　the　topology　shapes　of　the　chaotic　motions　are　similar　when　the　excitations　corresponding　to　the　chaotic　motions　change　in　a　small　range.　Otherwise,　there　exists　the　obvious　difference　of　the　shapes　for　the　topological　structure　of　the　double-parameter　chaotic　motions　in　the　eccentric　rotating　circular　cylindrical　shell.