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- W2240445570 abstract "Stationary solutions of dust particles after averaging over a synodic period in mean motion resonances in a circular restricted three-body problem with a stellar electromagnetic radiation and a radial stellar wind are investigated. For the stationary solutions we used conditions obtained from averaged resonant equations. The stellar radiation with assumed rotational symmetry significantly simplifies the obtained system of equations for the stationary solutions. In this case dust particles with all sizes leading to bound orbits in exact resonances can be considered at once. The stationary solutions exist only at orbits with specific values of eccentricity (universal eccentricities). It is usually assumed that in the stationary point (the particle's semimajor axis and libration center are stationary) the longitude of pericenter can be variable. Here we analytically show that the variability of the longitude of pericenter at the stationary points requires another specific values of the eccentricity. The required eccentricities are different from the universal eccentricities and consequently the longitude of pericenter of the stationary solutions must be also stationary. It is analytically shown that for astrophysical systems with the rotational symmetry an evolution corresponding to the stationary solution in the exact resonance is periodic independently of the variability of the longitude of pericenter. Systematic numerical solution of the obtained system for the stationary orbits did not give any solution for nine major exact mean motion resonances in the circular restricted three-body problem with the radiation." @default.
- W2240445570 created "2016-06-24" @default.
- W2240445570 creator A5046574037 @default.
- W2240445570 date "2015-05-15" @default.
- W2240445570 modified "2023-09-27" @default.
- W2240445570 title "Synodic instationarity of dust orbits in mean motion resonances under the action of stellar radiation" @default.
- W2240445570 hasPublicationYear "2015" @default.
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