Tertiary Tides with Eccentric Orbits

Fuente: arXiv
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Autores principales: Gao, Yan, Boekholt, Tjarda, Panda, Devismita, Akiba, Tatsuya, Toonen, Silvia
Formato: Preprint
Publicado: 2025
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author Gao, Yan
Boekholt, Tjarda
Panda, Devismita
Akiba, Tatsuya
Toonen, Silvia
author_facet Gao, Yan
Boekholt, Tjarda
Panda, Devismita
Akiba, Tatsuya
Toonen, Silvia
contents Within hierarchical triple stellar systems, there exists a tidal process unique to them, known as tertiary tides. In this process, the tidal deformation of a tertiary in a hierarchical triple drains energy from the inner binary, causing the inner binary's orbit to shrink. Previous work has uncovered the rate at which tertiary tides drain energy from inner binaries, as a function of orbital and tidal parameters, for hierarchical triples in which the orbits are all circular and coplanar. However, not all hierarchical triples have orbits which are circular and coplanar, which requires an understanding of what happens when this condition is relaxed. In this paper, we study how eccentricities affect tertiary tides, and their influence on the subsequent dynamical evolution of the host hierarchical triple. We find that eccentricities in the outer orbit undergo tidal circularisation as quickly as binary tidal synchronisation, and are therefore trivial, but that eccentricities in the inner binary completely change the behaviour of tertiary tides, draining energy from the outer orbit as well as the inner orbit. As with the circular orbit case, tertiary tides become significant when the tertiary is large enough to come close to filling its Roche Lobe, and dominate tidal evolution when interactions between the inner binary pair are weak. Empirical equations that approximate this behaviour are provided for ease of implementing this process in other stellar evolution codes, and the implications of these results are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2509_01672
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Tertiary Tides with Eccentric Orbits
Gao, Yan
Boekholt, Tjarda
Panda, Devismita
Akiba, Tatsuya
Toonen, Silvia
Solar and Stellar Astrophysics
Earth and Planetary Astrophysics
Within hierarchical triple stellar systems, there exists a tidal process unique to them, known as tertiary tides. In this process, the tidal deformation of a tertiary in a hierarchical triple drains energy from the inner binary, causing the inner binary's orbit to shrink. Previous work has uncovered the rate at which tertiary tides drain energy from inner binaries, as a function of orbital and tidal parameters, for hierarchical triples in which the orbits are all circular and coplanar. However, not all hierarchical triples have orbits which are circular and coplanar, which requires an understanding of what happens when this condition is relaxed. In this paper, we study how eccentricities affect tertiary tides, and their influence on the subsequent dynamical evolution of the host hierarchical triple. We find that eccentricities in the outer orbit undergo tidal circularisation as quickly as binary tidal synchronisation, and are therefore trivial, but that eccentricities in the inner binary completely change the behaviour of tertiary tides, draining energy from the outer orbit as well as the inner orbit. As with the circular orbit case, tertiary tides become significant when the tertiary is large enough to come close to filling its Roche Lobe, and dominate tidal evolution when interactions between the inner binary pair are weak. Empirical equations that approximate this behaviour are provided for ease of implementing this process in other stellar evolution codes, and the implications of these results are discussed.
title Tertiary Tides with Eccentric Orbits
topic Solar and Stellar Astrophysics
Earth and Planetary Astrophysics
url https://arxiv.org/abs/2509.01672