Recently, there has been a tremendous growth of NASA robotic missions in planetary science. These missions have provided vital discoveries, including the determination of water-ice deposits at the moon's surface, as well as potential environments on Mars where human and plant life could flourish. The development and improvement of robotic systems integrate the scientific technology of robotic system design and engineering analysis. One robotics that will be applied to NASA deep space habitat has been studied via computer-aided design and numerical simulation in this research. The aim of this research is to study a simple and flexible robotic system for NASA lunar research. The purpose of the computational simulation and analysis is to optimize the robotic system for a better function. The methodologies of computer-aided 3D modeling, finite element method, and structural analysis are applied to study and identify the system's function including structural deformation and equivalent stress of designed robotics. The analytical results can be used to validate the functional reliability and to support future research of robotic systems.