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astro-ph.EP2024
Results of numerical integrations of the orbits of fictive asteroids in vicinity of 2:1, 3:1 and 3:2 resonances
Alexey Rosaev, Eva Plavalova
In this paper we present our results of numerical integrations of orbits of fictive massless particle in vicinity of resonance. Our goal is to study the dependences of period (freq…
astro-ph.EP2024
Mathieu equation as a result of Laplace perturbation theory in the restricted three body problem
Alexey Rosaev, Eva Plavalova
Linear equations with periodic coefficients describe the behavior of various dynamical systems. This studying is devoted to their applications to the planetary restricted three-bod…