To address the issue of poor adaptability of traditional Kalman filters to nonlinear non-Gaussian measurement signals in relative navigation of non-cooperative spacecraft, which can lead to performance degradation or even divergence, a nonlinear filtering method based on α-divergence minimization (αKF) is proposed. Operating within the Bayesian estimation framework, this method achieves high-precision dynamic solution of relative position and velocity between the observing and observed spacecraft by optimizing posterior probability distribution estimation through α-divergence minimization. Simulation experiments demonstrate the robustness of the proposed method under both Gaussian and second-order Gaussian mixture models (GMM). Results indicate that under second-order GMM non-Gaussian noise conditions, the αKF-based algorithm achieves relative position estimation accuracy of 1.813 m and relative velocity precision of 0.022 m/s. Furthermore, parameter sensitivity analysis reveals the optimal range for divergence coefficient α to be 0.05~0.1, providing valuable reference for filter parameter configuration in complex noise scenarios.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |