| Issue |
A&A
Volume 667, November 2022
|
|
|---|---|---|
| Article Number | A91 | |
| Number of page(s) | 9 | |
| Section | Planets and planetary systems | |
| DOI | https://doi.org/10.1051/0004-6361/202244636 | |
| Published online | 11 November 2022 | |
Direct-retrograde orbit flips at planetary close encounters
The role of the Tisserand parameter
1
IAPS-INAF,
via Fosso del Cavaliere 100,
00133
Roma, Italy
e-mail: giovanni@iaps.inaf.it
2
IFAC-CNR,
via Madonna del Piano 10,
50019
Sesto Fiorentino, Italy
3
Centrum Badań Kosmicznych Polskiej Akademii Nauk (CBK PAN),
Bartycka 18A,
00-716
Warszawa, Poland
4
Observatoire de la Côte d’Azur, CNRS,
CS 34229,
06304
Nice, France
Received:
29
July
2022
Accepted:
29
August
2022
Aims. We want to find the conditions under which planetary close encounters transform the orbits of small Solar System bodies from direct to retrograde, and vice versa.
Methods. We derive analytical constraints on the orbital elements of the small body that allow direct-retrograde transitions at close encounters. We check the validity of the analytical constraints with numerical integrations of close encounters in the restricted, circular, three-dimensional three-body problem.
Results. For bound orbits, inclination flips at close encounters are possible only for values of the Tisserand parameter, computed with respect to the planet actually encountered, which are within certain limits. We give an analytical expression for the probability per revolution of this transition, as function of the orbital parameters. We show how to identify, among the known asteroids and comets on direct orbits, those that can flip to retrograde motion due to an encounter with an outer planet.
Conclusions. Inclination flips at planetary close encounters can be quantitatively characterized with the analytical theory of close encounters.
Key words: minor planets / asteroids: general / comets: general
© G. B. Valsecchi et al. 2022
Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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