Glint from the assembled units of a satellite body is an embodiment of the individual characteristics of the satellite. By combining the characteristics of satellite motion with the mirror-reflection characteristics of materials, we have developed a method for determining in principle the direction of the mirror reflection and the reflectance of the satellite body, as well as for giving the area of the mirror-reflection component. Based on this, we propose a quantitative analysis of the glint from satellite-body components, using a multivariate model to describe the optical-scattering characteristics of the satellite, which we have verified with actual data. Experimental results show that the multivariate method is more comprehensive than the binary method for describing satellite optical-scattering characteristics, and is more applicable in principle. Specifically, it can reflect the unique optical-scattering characteristics of an individual satellite, and the accuracy obtained after adding the mirror-reflection component can be increased by 0.111 magnitude. In engineering applications, depending upon the actual observational situation, the model elements that describe the light-scattering characteristics of the satellite can be adjusted to simulate the optical-scattering characteristics of any target. The multivariate model not only provides a reference for explaining the glint phenomenon of satellites but also it can serve as a basis for target identification and working-state analysis.