Nonlinearity in Inverse Problems of the Dynamics of Jupiter's Outer Satellites

This paper presents the results of a study of total and intrinsic nonlinearities in inverse problems of the dynamics of Jupiter's Outer Satellites, observed on very short orbital arcs. The relationship between nonlinearity and the conditions of satellite observations is revealed. In particular, it is shown that a very strong total nonlinearity occurs when the observation period is less than 0.1 of the orbital period. In addition, it is shown that the intrinsic nonlinearity is rather weak for all the satellites. This indicates the possibility of using nonlinear methods for adequate simulating their orbital uncertainty.