Abstract:
By calculating the Lyapunov characteristic exponents for a number of exoplanetary systems in which satellites (exomoons) potentially exist or have already been identified, orbital dynamics stability diagrams were constructed and studied in detail. Estimates of the Lyapunov times (the time of predictable dynamics) in the orbital dynamics of exomoons and possible values of the orbital parameters of candidate exomoons are obtained.
Keywords:exoplanets, planetary satellites, celestial mechanics, stability of motion, Lyapunov exponents.