scholarly journals Tidal deformation of a slowly rotating material body: Interior metric and Love numbers

2017 ◽  
Vol 95 (12) ◽  
Author(s):  
Philippe Landry
Keyword(s):  
Material Body ◽  
Tidal Deformation ◽  
Love Numbers

scholarly journals Tidal deformation of Ganymede: Sensitivity of Love numbers on the interior structure

2016 ◽  
Vol 121 (7) ◽  
pp. 1362-1375 ◽  
Author(s):  
Shunichi Kamata ◽  
Jun Kimura ◽  
Koji Matsumoto ◽  
Francis Nimmo ◽  
Kiyoshi Kuramoto ◽  
...  
Keyword(s):  
Interior Structure ◽  
Tidal Deformation ◽  
Love Numbers

scholarly journals Impact of tides on the transit-timing fits to the TRAPPIST-1 system

2020 ◽  
Vol 635 ◽  
pp. A117 ◽  
Author(s):  
E. Bolmont ◽  
B.-O. Demory ◽  
S. Blanco-Cuaresma ◽  
E. Agol ◽  
S. L. Grimm ◽  
...  
Keyword(s):  
General Relativity ◽  
Love Number ◽  
The Past ◽  
Tidal Deformation ◽  
Love Numbers ◽  
Rotational Deformation ◽  
Standard Values ◽  
Using Data ◽  
The Masses ◽  
Liquid Magma

Transit timing variations (TTVs) can be a very efficient way of constraining masses and eccentricities of multi-planet systems. Recent measurements of the TTVs of TRAPPIST-1 have led to an estimate of the masses of the planets, enabling an estimate of their densities and their water content. A recent TTV analysis using data obtained in the past two years yields a 34 and 13% increase in mass for TRAPPIST-1b and c, respectively. In most studies to date, a Newtonian N-body model is used to fit the masses of the planets, while sometimes general relativity is accounted for. Using the Posidonius N-body code, in this paper we show that in the case of the TRAPPIST-1 system, non-Newtonian effects might also be relevant to correctly model the dynamics of the system and the resulting TTVs. In particular, using standard values of the tidal Love number k2 (accounting for the tidal deformation) and the fluid Love number k2f (accounting for the rotational flattening) leads to differences in the TTVs of TRAPPIST-1b and c that are similar to the differences caused by general relativity. We also show that relaxing the values of tidal Love number k2 and the fluid Love number k2f can lead to TTVs which differ by as much as a few 10 s on a 3−4-yr timescale, which is a potentially observable level. The high values of the Love numbers needed to reach observable levels for the TTVs could be achieved for planets with a liquid ocean, which if detected might then be interpreted as a sign that TRAPPIST-1b and TRAPPIST-1c could have a liquid magma ocean. For TRAPPIST-1 and similar systems the models to fit the TTVs should potentially account for general relativity, for the tidal deformation of the planets, for the rotational deformation of the planets, and to a lesser extent for the rotational deformation of the star, which would add up to 7 × 2 + 1 = 15 additional free parameters in the case of TRAPPIST-1.

Concernment

2017 ◽  
Author(s):  
Galen Strawson
Keyword(s):  
Personal Identity ◽  
Material Body ◽  
Human Material

This chapter examines John Locke's notion of concernment, which for him is more fundamental than the notion of responsibility when it comes to the question of personal identity. It begins with the argument that the being or extent of a subject of experience's personhood or personal identity is not simply identical with the being or extent of its field of responsibility, because the notion of a person is not an exclusively moral or forensic term, as it might be if it concerned only a set of actions. Instead, one's personhood or personal identity also comprises one's substantial constitution, that is, a whole human material body plus an immaterial soul. The chapter considers Locke's view that Concernment entails a capacity for pleasure and pain and shows that that the field of responsibility lies completely inside the field of consciousness, which in turn lies wholly inside the field of concernment.

Selbstdifferenz in Praktiken

2017 ◽  
Vol 2017 (2) ◽  
pp. 57-76 ◽  
Author(s):  
Thomas Bedorf
Keyword(s):  
Practice Theory ◽  
Black Box ◽  
Lived Body ◽  
Material Body ◽  
Theories Of Practice ◽  
The Difference

The materiality of bodies is crucial for establishing theories of practice. To unfold the ‘black box’ of the performing body some theorists have implemented the difference between the lived body and the material body (Leib/Kçrper) in practice theory. This corporeal difference finds one systematic origin in phenomenology. It has come under attack for naturalising and subjectivising the lived body as a primordial category, and thus being unable to integrate to practice theory. It will be argued that critics can be refuted insofar as the corporeal difference is taken serious as a bodily experienced difference which is never to be reduced to some kind of objectivity.

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