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    Models of Saturn's Interior Constructed with an Accelerated Concentric Maclaurin Spheroid Method

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    Militzer_2019_ApJ_879_78.pdf
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    Author
    Militzer, B.
    Wahl, S.
    Hubbard, W. B. cc
    Affiliation
    Univ Arizona, Lunar & Planetary Lab
    Issue Date
    2019-07-08
    Keywords
    methods: numerical
    planets and satellites: interiors
    
    Metadata
    Show full item record
    Publisher
    IOP PUBLISHING LTD
    Citation
    Militzer, B., Wahl, S., & Hubbard, W. B. (2019). Models of Saturn's Interior Constructed with Accelerated Concentric Maclaurin Spheroid Method. arXiv preprint arXiv:1905.08907.
    Journal
    ASTROPHYSICAL JOURNAL
    Rights
    © 2019. The American Astronomical Society. All rights reserved.
    Collection Information
    This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
    Abstract
    The Cassini spacecraft's Grand Finale orbits provided a unique opportunity to probe Saturn's gravity field and interior structure. Doppler measurements yielded unexpectedly large values for the gravity harmonics J(6), J(8), and J(10), which cannot be matched using planetary interior models that assume uniform rotation. Instead we present a suite of models that assume the planet's interior rotates on cylinders, which allows us to match all the observed even gravity harmonics. For every interior model, the gravity field is calculated self-consistently with high precision using the Concentric Maclaurin Spheroid method. We present an acceleration technique for this method, which drastically reduces the computational cost, allows us to efficiently optimize model parameters and map out allowed parameter regions with Monte Carlo sampling, and increases the precision of the calculated J(2n) gravity harmonics to match the error bars of the observations, which would be difficult without acceleration. Based on our models, Saturn is predicted to have a dense central core of similar to 15-18 Earth masses and an additional 1.5-5 Earth masses of heavy elements in the envelope. Finally, we vary the rotation period in the planet's deep interior and determine the resulting oblateness, which we compare with the value from radio occultation measurements by the Voyager spacecraft. We predict a rotation period of 10:33:34 hr +/- 55 s, which is in agreement with recent estimates derived from ring seismology.
    ISSN
    0004-637X
    EISSN
    1538-4357
    DOI
    10.3847/1538-4357/ab23f0
    Version
    Final published version
    Sponsors
    NASA missions Cassini and Juno; University of California [00013725]
    ae974a485f413a2113503eed53cd6c53
    10.3847/1538-4357/ab23f0
    Scopus Count
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    UA Faculty Publications

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