Long-term stability of planetary orbits between Jupiter and Saturn
- Author(s)
- Rudolf Dvorak, Manfred Cuntz
- Abstract
We extend our two previous studies on the existence of stable orbits in the Solar System by examining the domain between Jupiter and Saturn. We place (1) a massless object, (2) a Moon-mass object, (3) a Mars-mass object, (4) an Earth-mass object, and (5) a Uranus-mass object in the said region. Note that these objects are considered separately in the framework of our simulations. Our goal is to explore the orbital stability of those objects. We employ the Lie-integration method, which is fast and well established, allowing us to solve the respective differential equations for the (Formula presented.) -body system. Hence, we consider the celestial bodies spanning from Jupiter to Neptune, including the aforementioned test object, the main focus for our model simulations. The integrations indicate that in some models the test objects placed in the region between Jupiter and Saturn reside in that region for more than 600 Myr. Between 5 and 10 au, mean-motion resonances (MMRs) take place acting upon the test objects akin to simulations of Paper I and II. Our models indicate relatively small differences for the long-term stability of the five test objects notwithstanding their vastly different masses. Generally, it is found that between (Formula presented.) and 7.13 au the orbits become unstable mostly within 5 million years and further out, that is, up to (Formula presented.) au, the duration of stability lengthens to up to hundreds of millions of years.
- Organisation(s)
- Department of Astrophysics
- External organisation(s)
- University of Texas, Arlington
- Journal
- Astronomische Nachrichten
- Volume
- 345
- No. of pages
- 1
- ISSN
- 0004-6337
- DOI
- https://doi.org/10.1002/asna.20230147
- Publication date
- 01-2024
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103003 Astronomy, 103004 Astrophysics
- Keywords
- ASJC Scopus subject areas
- Astronomy and Astrophysics, Space and Planetary Science
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/7ffaac8f-fbcd-49ed-bed1-d9c30916c677