The paper summarizes the results of the research on angular motion dynamics carried out by the team of the authors and some problems of attitude control of nanosatellites (NS). The features of CubeSat NS passive motion dynamics are described. Conditions for the possible emergence of resonance modes are studied and discussed. Recommendations are given allowing the requirements for mass-inertia characteristics and initial conditions of NS motion to be formulated at the design stage, aimed at the NS stable motion with regard to the required equilibrium position for a wide range of orbital altitudes. Algorithms for reorientation and stabilization of motion are proposed based on the solution of the inverse problem of dynamics and optimal nominal attitude control programs. The results of this work are implemented in practice and may be useful to the developers of small spacecraft.

   The paper considers the problem of optimal control of an electric propulsion spacecraft maneuvering between the spatial halo orbits around the L2 libration point in the Earth-Moon system. The proposed methodology finds the initial approximations for calculating the transfer trajectories within the framework of restricted three-body problem and improves the computational efficiency of calculations. A low-thrust transfer between the halo orbits is calculated to confirm the validity of this computational procedure.

   The paper describes a procedure based on predictive modeling for comparing recursive suboptimal algorithms developed for nonlinear filtering problems including those involving navigation data processing. The algorithms are compared in terms of accuracy, consistency, and computational complexity. The provided examples explain the procedure and illustrate its application.

   The article studies the possibilities of using the high-precision marine gravimetric survey data to correct the global models of the Earth’s gravity field in the World Ocean. The accuracy of modern models in water areas on a regional scale is determined by the capabilities of the satellite altimetry method and depends on the gravity field characteristics. On the gradient structures of the field, the amplitudes of real anomalies are suppressed in the models; therefore, for the models to be used more efficiently, it is necessary to restore high frequencies of anomalies in these models. On the abyssal structures, the main error in models is high-frequency noise. This paper describes the techniques for correcting the data obtained from these models, which makes it possible to increase the accuracy over fairly large areas, using a limited number of marine gravimetric measurements. The paper also provides the practical assessments of the new global altimetry model of the Earth’s gravity field Sandwell and Smith v32 in various regions of the World Ocean.

   The paper studies the possibility to use MEMS-based integrated INS/GNSS systems in the automatic control systems of precision airdrop systems (PAS ACS). Experiments have been conducted to find a navigation solution during the parachute descent. The PAS ACS prototype with remote control and guidance based on the data of a MEMS-based integrated INS/GNSS system has been developed. Flight tests of the designed prototype have been carried out.

   The features of estimators of coordinates and motion parameters of ground targets in onboard optical positioning systems are considered. The structure of the developed estimator using onboard optical positioning system data is described. Some simulation results are provided.

   This work is focused on the calibration of magnetometers for the attitude control system of the SamSat-ION university nanosatellite. A calibration methodology is proposed to take into account the temperature drift of the sensors readings. Measurements are carried out in twelve static positions, with sequential cooling and heating in the temperature range from –10 to +50°С, and are used to calculate the estimates of the temperature dependences of the bias, scale factor, and nonorthogonalities of the magnetometer axes. The main results of the ground tests of the SamSat-ION flight and engineering onboard systems obtained in accordance with the proposed methodology are discussed. The operability of the onboard systems during and after calibration under temperature variations (rise and drop) has been confirmed. Taking into account the found parameters, affected by various temperature gradients, decreases the measurement error about twelve-fold, which makes it possible to ensure reliable operation of the attitude control and stabilization system of nanosatellites based on the use of magnetometers.

   Autonomous navigation technology is the key technology for Autonomous Underwater Vehicle (AUV) to achieve automated, intelligent operation and task processing. Inertial navigation technology is the core of autonomous navigation technology for AUV. Traditional inertial navigation technology has been developed for many years, and it is necessary to find new breakthroughs. Deep learning can automatically select and extract key features of input data, which has been widely used in image recognition, speech recognition, natural language processing and other fields, and has good results in processing sequential data such as text and speech. Inertial navigation data clearly belongs to this type of data, and many scholars in the industry have conducted related research and design, and found that deep neural network models can be used to calibrate the noise of inertial sensors, reduce the drift of inertial navigation mechanisms, and fuse inertial information with other sensor information, with good effects in solving the prediction and error suppression of inertial navigation during long-term underwater voyages. This article provides a comprehensive review of deep learning-based inertial navigation for AUV, including the latest research progress and development trend direction