Episodic volcanism of tidally heated satellites with application to Io

Ojakangas, G. W.; Stevenson, D. J.

doi:10.1016/0019-1035(86)90163-6

Cited by 147 publications

(101 citation statements)

References 30 publications

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“…(4). That the tidal heating should be a well-defined and precise quantity is reasonable, given that its physical effects have been observed in the form of volcanic activity of Jupiter's moon Io [2,11,12].…”

Section: Discussionmentioning

confidence: 99%

“…(11), (5), (8), and (13) into Eq. (12). The resulting expression can be broken into a sum of three parts-the body's self energy E o (which depends only on Φ o and ρ), the external field energy E e (which depends only on Φ e ), and the interaction energy E int (which involves products of Φ e with ρ or Φ o ):…”

Section: Newtonian Analysismentioning

confidence: 99%

“…That volcanism was predicted by Peale, Cassen, and Reynolds [2] before the Voyager spacecraft discovered it; and their explanation-that Io gets tidally heated to high internal temperature by the coupling of its quadrupole moment to Jupiter's tidal field-is firm (see, e.g., Refs. [11,12]). …”

Section: Introductionmentioning

confidence: 99%

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Gauge invariance of general relativistic tidal heating

Purdue

1999

Phys. Rev. D

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When a self-gravitating body (e.g., a neutron star or black hole) interacts with an external tidal field (e.g., that of a binary companion), the interaction can do work on the body, changing its massenergy. The details of this "tidal heating" are analyzed using the Landau-Lifshitz pseudotensor and the local asymptotic rest frame of the body. It is shown that the work done on the body is gaugeinvariant, while the body-tidal-field interaction energy contained within the body's local asymptotic rest frame is gauge dependent. This is analogous to Newtonian theory, where the interaction energy is shown to depend on how one localizes gravitational energy, but the work done on the body is independent of that localization.

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Section: Discussionmentioning

confidence: 99%

Section: Newtonian Analysismentioning

confidence: 99%

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Gauge invariance of general relativistic tidal heating

Purdue

1999

Phys. Rev. D

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“…Provided the origin of the observed heating is tidal heating, it is possible that Enceladus is oscillating about equilibrium. A model for oscillation about equilibrium has been presented for Io by Ojakangas and Stevenson (1986). Fischer and Spohn (1990) presented similar oscillation models for Io, emphasizing different rheologies.…”

Section: Introductionmentioning

confidence: 95%

“…Fischer and Spohn (1990) presented similar oscillation models for Io, emphasizing different rheologies. Ojakangas and Stevenson (1986) mentioned the possible application of their model to Enceladus.…”

Section: Introductionmentioning

confidence: 99%

Episodic volcanism on Enceladus: Application of the Ojakangas–Stevenson model

Meyer¹,

Wisdom²

2008

Icarus

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Self‐consistent generation of single‐plume state for Enceladus using non‐Newtonian rheology

et al. 2014

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The thermal dichotomy of Enceladus suggests an asymmetrical structure in its global heat transfer. So far, most of the models proposed that obtained such a distribution have prescribed an a priori asymmetry, i.e., some anomaly in or below the south polar ice shell. We present here the first set of numerical models of convection that yield a stable single-plume state for Enceladus without prescribed mechanical asymmetry. Using the convection code StagYY in a 2-D spherical annulus geometry, we show that a non-Newtonian ice rheology is sufficient to create a localized, single hot plume surrounded by a conductive ice mantle. We obtain a self-sustained state in which a region of small angular extent has a sufficiently low viscosity to allow subcritical to weak convection to occur due to the stress-dependent part of the rheological law. We find that the single-plume state is very unlikely to remain stable if the rheology is Newtonian, confirming what has been found by previous studies. In a second set of numerical simulations, we also investigate the first-order effect of tidal heating on the stability of the single-plume state. Tidal heating reinforces the stability of the single-plume state if it is generated in the plume itself. Lastly, we show that the likelihood of a stable single-plume state does not depend on the thickness of the ice shell.

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Episodic volcanism of tidally heated satellites with application to Io

Cited by 147 publications

References 30 publications

Gauge invariance of general relativistic tidal heating

Gauge invariance of general relativistic tidal heating

Episodic volcanism on Enceladus: Application of the Ojakangas–Stevenson model

Self‐consistent generation of single‐plume state for Enceladus using non‐Newtonian rheology

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