Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter

We present the results of a study of nonlinearity in inverse problems of the orbital dynamics of Jupiter's outer satellites, discovered in 2018–2022, and of potentially hazardous asteroids. The results show that for a more accurate study of orbital uncertainty, we must first find the minimum value of a nonlinearity indicator by varying the initial epoch within the measurable interval for different parametric spaces.