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With the development of satellite communication technology, the application of satellites in the Internet of Vehicles (IoV) system can effectively solve the limitations and deficiencies of ground communication networks. In this paper, we investigate the security outage performance of a satellite-vehicle communication system consisting of a satellite (<inline-formula><tex-math notation="LaTeX">S</tex-math></inline-formula>), a legitimate receiving vehicle (<inline-formula><tex-math notation="LaTeX">C</tex-math></inline-formula>), and an eavesdropping vehicle (<inline-formula><tex-math notation="LaTeX">E</tex-math></inline-formula>), where <inline-formula><tex-math notation="LaTeX">C</tex-math></inline-formula> and <inline-formula><tex-math notation="LaTeX">E</tex-math></inline-formula> are randomly located on two different roads within the coverage area of <inline-formula><tex-math notation="LaTeX">S</tex-math></inline-formula> and randomly distributed on their respective roads. The downlink communication links between <inline-formula><tex-math notation="LaTeX">S</tex-math></inline-formula> and these terrestrial vehicles are assumed to suffer the Shadowed-Rician fading. Then, the security outage probability (SOP) is studied under the most straightforward case that <inline-formula><tex-math notation="LaTeX"> C</tex-math></inline-formula> and <inline-formula><tex-math notation="LaTeX">E</tex-math></inline-formula> are equipped with a single antenna. Next, we extend to the more common scenario where both <inline-formula><tex-math notation="LaTeX">C</tex-math></inline-formula> and <inline-formula><tex-math notation="LaTeX">E</tex-math></inline-formula> adopt multiple antennas by deriving the analytical expression for the SOP. Finally, numerical results are presented to verify our proposed analytical models.