Secular Resonances in Planet-hosting Binary Stars. I. General Theory

Motivated by the diversity of circumstellar planets in binary stars and the strong effects of the secular resonances of Jupiter and Saturn on the formation and architecture of the inner solar system, we have launched an expansive project on studying the effects of secular resonances on the formation...

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Main Authors: Nader Haghighipour, Michael Andrew
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astronomical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-3881/ad82e8
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author Nader Haghighipour
Michael Andrew
author_facet Nader Haghighipour
Michael Andrew
author_sort Nader Haghighipour
collection DOAJ
description Motivated by the diversity of circumstellar planets in binary stars and the strong effects of the secular resonances of Jupiter and Saturn on the formation and architecture of the inner solar system, we have launched an expansive project on studying the effects of secular resonances on the formation of terrestrial planets around a star of a moderately close binary. As the first phase of our project, we present here the general theory of secular resonances in dual-star systems where the primary hosts two giant planets. Using the concept of generalized disturbing function, we derive the formula for the locations of secular resonances and show that in systems where the perturbation of the secondary star is stronger, the locations of secular resonances are farther way from the primary and closer to the giant planets. The latter implies that in such systems, terrestrial planet formation has a larger area to proceed with more of the protoplanetary disk being available to it. To demonstrate the validity of our theoretical results, we simulated the evolution of a protoplanetary disk interior to the inner giant planet. Results, in addition to confirming our theoretical predictions, pointed to an important finding: In binary stars, the perturbation of the secondary suppresses the secular resonances of giant planets. Simulations also show that as the disk loses material, secular resonances move inward, scattering objects out of the disk and/or facilitating their collisional growth. We present results of our study and discuss their implications for the simulations of terrestrial planet formation.
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spelling doaj-art-a563c12f24de48f09cd554c3ef9ca2132025-08-20T02:48:57ZengIOP PublishingThe Astronomical Journal1538-38812025-01-01170211710.3847/1538-3881/ad82e8Secular Resonances in Planet-hosting Binary Stars. I. General TheoryNader Haghighipour0Michael Andrew1Planetary Science Institute , Tucson, AZ, USA ;; Institute for Astronomy, University of Hawaii-Manoa , Honolulu, HI, USA; Institute for Advanced Planetary Astrophysics , Honolulu, HI, USAUniversity of Hawaii-Manoa , Honolulu, HI, USAMotivated by the diversity of circumstellar planets in binary stars and the strong effects of the secular resonances of Jupiter and Saturn on the formation and architecture of the inner solar system, we have launched an expansive project on studying the effects of secular resonances on the formation of terrestrial planets around a star of a moderately close binary. As the first phase of our project, we present here the general theory of secular resonances in dual-star systems where the primary hosts two giant planets. Using the concept of generalized disturbing function, we derive the formula for the locations of secular resonances and show that in systems where the perturbation of the secondary star is stronger, the locations of secular resonances are farther way from the primary and closer to the giant planets. The latter implies that in such systems, terrestrial planet formation has a larger area to proceed with more of the protoplanetary disk being available to it. To demonstrate the validity of our theoretical results, we simulated the evolution of a protoplanetary disk interior to the inner giant planet. Results, in addition to confirming our theoretical predictions, pointed to an important finding: In binary stars, the perturbation of the secondary suppresses the secular resonances of giant planets. Simulations also show that as the disk loses material, secular resonances move inward, scattering objects out of the disk and/or facilitating their collisional growth. We present results of our study and discuss their implications for the simulations of terrestrial planet formation.https://doi.org/10.3847/1538-3881/ad82e8Celestial mechanicsOrbital resonancesPerturbation methods
spellingShingle Nader Haghighipour
Michael Andrew
Secular Resonances in Planet-hosting Binary Stars. I. General Theory
The Astronomical Journal
Celestial mechanics
Orbital resonances
Perturbation methods
title Secular Resonances in Planet-hosting Binary Stars. I. General Theory
title_full Secular Resonances in Planet-hosting Binary Stars. I. General Theory
title_fullStr Secular Resonances in Planet-hosting Binary Stars. I. General Theory
title_full_unstemmed Secular Resonances in Planet-hosting Binary Stars. I. General Theory
title_short Secular Resonances in Planet-hosting Binary Stars. I. General Theory
title_sort secular resonances in planet hosting binary stars i general theory
topic Celestial mechanics
Orbital resonances
Perturbation methods
url https://doi.org/10.3847/1538-3881/ad82e8
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AT michaelandrew secularresonancesinplanethostingbinarystarsigeneraltheory