Investigation on single-star stellar-inertial guidance principle using equivalent information compression theory

Stellar-inertial guidance is a composite guidance technique that can effectively enhance the impact accuracy of ballistic missiles. In this paper, measurement and correction equations for a single-star stellar-inertial guidance system were developed, and a concept of equivalent information compression was presented and discussed through some propositions. With this concept, accuracies of single/double star schemes were compared, and it was shown that a single-star scheme can achieve the accuracy equivalent to a double-star scheme. This theoretically proves the feasibility of the rapid determination of the optimum stellar direction of the single-star scheme. Lastly, a compensational method to correct the guidance errors was employed when the adopted navigation star deviated from the optimum stellar direction.