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Satellite antenna beam often needs to cover multiple-targets within a specific area at the same time, so it needs to optimize their pointing to meet the demand of target received satellite signals. Based on the study of satellite spot beam antenna, an antenna power radiation model is introduced into calculation model of satellite pointing to complete the gain calculation of a pointing target. The optimization principle is used to analyze the optimization model of the multi-target pointing gain and get the conclusion that for three targets, the optimum point of pointing gain is the barycenter of the triangle formed by the three targets under the unconstrained conditions, and the optimum point of gain deviates from the unconstrained optimum point under corresponding constrained conditions. The research of multiple-target pointing optimization provides a applicable model for ensuring a higher pointing accuracy of antenna beam and communication characteristics of targets, and has a strong engineering application value. [ABSTRACT FROM AUTHOR]