Numerical Simulations of Tidal Deformation and Resulting Light Curves of Small Bodies: Material Constraints of 99942 Apophis and 1I/‘Oumuamua
In this paper, we present an open-source software (Simulator of Asteroid Malformation Under Stress, SAMUS ) that simulates constant-density, constant-viscosity liquid bodies subject to tidal forces for a range of assumed viscosities and sizes. This software solves the Navier–Stokes equations on a fi...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | The Planetary Science Journal |
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| Online Access: | https://doi.org/10.3847/PSJ/acccef |
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| author | Aster G. Taylor Darryl Z. Seligman Douglas R. MacAyeal Olivier R. Hainaut Karen J. Meech |
| author_facet | Aster G. Taylor Darryl Z. Seligman Douglas R. MacAyeal Olivier R. Hainaut Karen J. Meech |
| author_sort | Aster G. Taylor |
| collection | DOAJ |
| description | In this paper, we present an open-source software (Simulator of Asteroid Malformation Under Stress, SAMUS ) that simulates constant-density, constant-viscosity liquid bodies subject to tidal forces for a range of assumed viscosities and sizes. This software solves the Navier–Stokes equations on a finite-element mesh, incorporating the centrifugal, Coriolis, self-gravitational, and tidal forces. The primary functionality is to simulate the deformation of minor bodies under the influence of tidal forces. It may therefore be used to constrain the composition and physical structure of bodies experiencing significant tidal forces, such as 99942 Apophis and 1I/‘Oumuamua. We demonstrate that SAMUS will be useful to constrain the material properties of Apophis during its near-Earth flyby in 2029. Depending on the material properties, Apophis may experience an area change of up to 0.5%, with similar effects on the photometric brightness. We also apply SAMUS to constrain the material dynamic viscosity of 1I/‘Oumuamua, the first interstellar object discovered traversing the inner solar system. ‘Oumuamua experienced a close approach to the Sun at perihelion ( q ≃ 0.25 au) during which there were significant tidal forces that may have caused deformation of the body. This deformation could have lead to observable changes in the photometric light curve based on the material properties. The application of SAMUS to produce synthetic observations which incorporate tidal deformation effects demonstrates that no deformation—an infinite dynamic viscosity—best reproduces the photometric data. While these results indicate that ‘Oumuamua did not experience significant tidal deformation, a sophisticated model incorporating nonprincipal axis rotation is necessary to conclusively analyze both ‘Oumuamua and Apophis. |
| first_indexed | 2024-03-08T06:47:34Z |
| format | Article |
| id | doaj.art-cede029b037446f0a31bfebcb38d86b4 |
| institution | Directory Open Access Journal |
| issn | 2632-3338 |
| language | English |
| last_indexed | 2024-03-08T06:47:34Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | The Planetary Science Journal |
| spelling | doaj.art-cede029b037446f0a31bfebcb38d86b42024-02-03T07:35:29ZengIOP PublishingThe Planetary Science Journal2632-33382023-01-01457910.3847/PSJ/acccefNumerical Simulations of Tidal Deformation and Resulting Light Curves of Small Bodies: Material Constraints of 99942 Apophis and 1I/‘OumuamuaAster G. Taylor0https://orcid.org/0000-0002-0140-4475Darryl Z. Seligman1https://orcid.org/0000-0002-0726-6480Douglas R. MacAyeal2https://orcid.org/0000-0003-0647-6176Olivier R. Hainaut3https://orcid.org/0000-0001-6952-9349Karen J. Meech4https://orcid.org/0000-0002-2058-5670Department of Astronomy and Astrophysics, University of Chicago , 5640 S Ellis Avenue, Chicago, IL 60637, USA ; astertaylor@uchicago.eduDepartment of Astronomy and Carl Sagan Institute, Cornell University , 122 Sciences Drive, Ithaca, NY 14853, USADepartment of Geophysical Sciences, University of Chicago , 5734 S Ellis Avenue, Chicago, IL 60637, USAEuropean Southern Observatory , Karl-Schwarzschild-Strasse 2, Garching bei München, D-85748, GermanyInstitute for Astronomy, University of Hawaii , 2680 Woodlawn Drive, Honolulu, HI 96822, USAIn this paper, we present an open-source software (Simulator of Asteroid Malformation Under Stress, SAMUS ) that simulates constant-density, constant-viscosity liquid bodies subject to tidal forces for a range of assumed viscosities and sizes. This software solves the Navier–Stokes equations on a finite-element mesh, incorporating the centrifugal, Coriolis, self-gravitational, and tidal forces. The primary functionality is to simulate the deformation of minor bodies under the influence of tidal forces. It may therefore be used to constrain the composition and physical structure of bodies experiencing significant tidal forces, such as 99942 Apophis and 1I/‘Oumuamua. We demonstrate that SAMUS will be useful to constrain the material properties of Apophis during its near-Earth flyby in 2029. Depending on the material properties, Apophis may experience an area change of up to 0.5%, with similar effects on the photometric brightness. We also apply SAMUS to constrain the material dynamic viscosity of 1I/‘Oumuamua, the first interstellar object discovered traversing the inner solar system. ‘Oumuamua experienced a close approach to the Sun at perihelion ( q ≃ 0.25 au) during which there were significant tidal forces that may have caused deformation of the body. This deformation could have lead to observable changes in the photometric light curve based on the material properties. The application of SAMUS to produce synthetic observations which incorporate tidal deformation effects demonstrates that no deformation—an infinite dynamic viscosity—best reproduces the photometric data. While these results indicate that ‘Oumuamua did not experience significant tidal deformation, a sophisticated model incorporating nonprincipal axis rotation is necessary to conclusively analyze both ‘Oumuamua and Apophis.https://doi.org/10.3847/PSJ/acccefInterstellar objectsCometsHydrodynamics |
| spellingShingle | Aster G. Taylor Darryl Z. Seligman Douglas R. MacAyeal Olivier R. Hainaut Karen J. Meech Numerical Simulations of Tidal Deformation and Resulting Light Curves of Small Bodies: Material Constraints of 99942 Apophis and 1I/‘Oumuamua The Planetary Science Journal Interstellar objects Comets Hydrodynamics |
| title | Numerical Simulations of Tidal Deformation and Resulting Light Curves of Small Bodies: Material Constraints of 99942 Apophis and 1I/‘Oumuamua |
| title_full | Numerical Simulations of Tidal Deformation and Resulting Light Curves of Small Bodies: Material Constraints of 99942 Apophis and 1I/‘Oumuamua |
| title_fullStr | Numerical Simulations of Tidal Deformation and Resulting Light Curves of Small Bodies: Material Constraints of 99942 Apophis and 1I/‘Oumuamua |
| title_full_unstemmed | Numerical Simulations of Tidal Deformation and Resulting Light Curves of Small Bodies: Material Constraints of 99942 Apophis and 1I/‘Oumuamua |
| title_short | Numerical Simulations of Tidal Deformation and Resulting Light Curves of Small Bodies: Material Constraints of 99942 Apophis and 1I/‘Oumuamua |
| title_sort | numerical simulations of tidal deformation and resulting light curves of small bodies material constraints of 99942 apophis and 1i oumuamua |
| topic | Interstellar objects Comets Hydrodynamics |
| url | https://doi.org/10.3847/PSJ/acccef |
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