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In order to formulate accurate and reasonable random vibration test conditions for optical cameras and solve the problem of conservative design of test conditions caused by inaccurate simulation calculation, this paper proposes a general method for the design of random vibration specification for small satellites’ optical cameras. First, we derive the dynamic response formula, which lays a foundation for the small satellite dynamic simulation calculation. Then, the response of the optical camera mounting surface, which is obtained by the dynamic calculation of the small satellite finite element model, and the random vibration test conditions of the camera process is enveloped to obtain the preliminary random vibration test condition of the new research optical camera. Subsequently, we combine the random vibration test data of the optical remote sensing satellite, which has been used in orbit, and revise the preliminary random vibration test conditions of the new research camera in terms of response magnitude and frequency. Finally, we verify the rationality of this method through random vibration test of a small satellite. This scheme is conducive to the establishment of more reasonable and feasible random vibration test conditions for small satellites’ optical cameras, which is beneficial to the development and production of optical cameras.
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