Temporal variations in the tidal response of the medium in the vicinities of the sources of catastrophic earthquakes

Molodensky, M. S.; Molodensky, D. S.

doi:10.1134/s1069351312110055

Cited by 7 publications

(2 citation statements)

References 6 publications

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“…where k ′ 2 is the loading Love number for gravitational potential (Molodensky 1977). Hence k ′ 2 + 1 = 0, which manifests a condition of perfect isostatic equilibrium (see e.g., Munk & MacDonald 1975).…”

Section: K 2 Love Numbermentioning

confidence: 97%

Relation between the moment of inertia and the k₂ Love number of fluid extra-solar planets

Consorzi,

Melini,

Spada

2023

A&A

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Context. Tidal and rotational deformation of fluid giant extra-solar planets may impact their transit light curves, making the k2 Love number observable in the near future. Studying the sensitivity of k2 to mass concentration at depth is thus expected to provide new constraints on the internal structure of gaseous extra-solar planets. Aims. We investigate the link between the mean polar moment of inertia N of a fluid, stably layered extra-solar planet and its k2 Love number. Our aim is to obtain analytical relations valid, at least, for some particular ranges of the model parameters. We also seek a general approximate relation useful for constraining N once observations of k2 become available. Methods. For two-layer fluid extra-solar planets we explore the relation between N and k2 via analytical methods, for particular values of the model parameters. We also explore approximate relations valid over the entire range of two-layer models. More complex planetary structures are investigated by the semi-analytical propagator technique. Results. A unique relation between N and k2 cannot be established. However, our numerical experiments show that a rule of thumb can be inferred that is valid for complex, randomly layered stable planetary structures. The rule robustly defines the upper limit to the values of N for a given k2, and agrees with analytical results for a polytrope of index one and with a realistic non-rotating model of the tidal equilibrium of Jupiter.

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Section: K 2 Love Numbermentioning

confidence: 97%

Relation between the moment of inertia and the k₂ Love number of fluid extra-solar planets

Consorzi,

Melini,

Spada

2023

A&A

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show abstract

“…Molodenskii and M.S. Molodenskii (2012) developed the correlation method for determining the time variations in the tidal response of the medium. This increased the resolution of the standard methods of sliding spectrum analysis by about an order of mag nitude.…”

Section: Introductionmentioning

confidence: 99%

Time variations in tidal responses of the medium before the Great Tohoku earthquake, Japan, according to the data from the source’s nearest seismic stations

Molodenskiy

2015

Izv., Phys. Solid Earth

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Comparing the time variations in tidal responses of a medium in seismically active and quiet regions

Molodenskii

2015

Izv., Phys. Solid Earth

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Temporal variations in the tidal response of the medium in the vicinities of the sources of catastrophic earthquakes

Cited by 7 publications

References 6 publications

Relation between the moment of inertia and the k₂ Love number of fluid extra-solar planets

Relation between the moment of inertia and the k₂ Love number of fluid extra-solar planets

Time variations in tidal responses of the medium before the Great Tohoku earthquake, Japan, according to the data from the source’s nearest seismic stations

Comparing the time variations in tidal responses of a medium in seismically active and quiet regions

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Temporal variations in the tidal response of the medium in the vicinities of the sources of catastrophic earthquakes

Cited by 7 publications

References 6 publications

Relation between the moment of inertia and the k2 Love number of fluid extra-solar planets

Relation between the moment of inertia and the k2 Love number of fluid extra-solar planets

Time variations in tidal responses of the medium before the Great Tohoku earthquake, Japan, according to the data from the source’s nearest seismic stations

Comparing the time variations in tidal responses of a medium in seismically active and quiet regions

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Resources

About

Relation between the moment of inertia and the k₂ Love number of fluid extra-solar planets

Relation between the moment of inertia and the k₂ Love number of fluid extra-solar planets