Solution of the nano-acceleration problem of solid body in the diluted gas environment is considered. To resolve the problem, the interaction effect principle of kinematic solid bodies in sparse atmosphere is used. The bodies differ by weights, midsection areas, and facing resistances in the environment, while there is a variety of moving options for the interaction of solid bodies in sparse atmosphere in general. A brief mathematical survey of algorithms, which determine accelerations of moving objects in the diluted gas environment, is presented. The nano-accelerometer algorithm for the object with two solid bodies in case, where the body weights are constants or changed occasionally in time, is studied. Specifications of the body orbit under external forces in the sparse gas environment are received depending on the orbit correction intervals. Modelling of the object with nano-accelerometer is presented by means of MatLab/Simulink software. Investigation results confirm the effectiveness of using nano-accelerometer for this class of real-world objects in the diluted gas environment.