Using the eccentric version of the restricted three-body problem to model exosolar systems

The eccentric version of the restricted three-body problem is applied for obtaining the taxonomy of trajectories in exosolar systems. Our analysis is sufficient enough for the test particles to represent a variety of celestial bodies, such as terrestrial-mass exoplanets, exoasteroids, exocomets, or exomoons. Moreover, our results specifically identify allowed orbits for exomoons. Through the systematic classification of trajectories, we manage to distinguish between the different types of motion and therefore reveal how both the total orbital energy and the eccentricity affect the dynamical properties of trajectories of the test particles. © 2024 Elsevier Ltd

Authors
Alrebdi H.I. , Dubeibe F.L. , Zotos E.E.
Journal
Chaos, Solitons and Fractals
Publisher
Elsevier Ltd
Language
English
Status
Published
Link
External link
DOI
10.1016/J.CHAOS.2024.114474
Number
114474
Volume
179
Year
2024
Organizations
  • 1 Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia
  • 2 University of Los Llanos, Faculty of Humanities and Education, Villavicencio, 500017, Colombia
  • 3 Department of Physics, School of Science, Aristotle University of Thessaloniki, Thessaloniki, GR-541 24, Greece
  • 4 S.M. Nikolskii Mathematical Institute of the Peoples’ Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
Keywords
Chaos; Methods: numerical; Planets and satellites: general
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