The knowledge of the gravitational potential coefficients J2 and J4 a hydrostatic Earth model is necessary to deal with non-hydrostatic properties our planet. They are indeed fundamental parameters when modelling 3-D density structure or rotational behaviour most widely used values computed by Nakiboglu need be updated for two reasons. First, we have noted mistake in one his formulae. Secondly, value inertia ratio I/MR2 chosen at time prem not any more best estimate. Both corrections...

Abstract On Venus, radar observations of the surface have highlighted two categories craters: bright‐floored, interpreted as pristine, and dark‐floored, being partially filled by lava. While volcanic resurfacing occurs within outside craters in plains, it seems mainly concentrated interior dark‐floored crustal plateaus, suggesting that magma is negatively buoyant there. Indeed, crater unloading may facilitate vertical ascent a decompressing underlying crust. However, topography also...

Context. We investigate the hydrostatic shape and gravitational potential coefficients of self-gravitating rotating bodies large enough to have undergone internal differentiation chemical stratification. Quantifying these properties under assumption equilibrium forms basis for interpreting gravity data in terms interior structure infer deviations from hydrostaticity that can bring information on thermal history objects.

Abstract The large trans-Neptunian objects (TNO) with radii larger than 400 km are thought to be in hydrostatic equilibrium. Their shapes can provide clues regarding their internal structures that would reveal information on formation and evolution. In this paper, we explore the equilibrium figures of five TNOs, show difference between homogeneous heterogeneous interior models reach several kilometers for fast rotating low density bodies. Such a could measurable by ground-based techniques....

We have analysed more than four years of data from the Strasbourg superconducting gravimeter to retrieve period and damping nearly diurnal-free wobble (NDFW). The removal noise spikes is found be crucial for an accurate determination tidal-wave amplitudes phases. A new simple algorithm derived which allows analytical solution NDFW using complex gravimetric factors three resonant diurnal waves. results show a huge reduction confidence intervals when compared with previous investigation...

In a system where two phases coexist, seismic wave can disrupt the pre-existing equilibrium and induce re-equilibration process. Because kinetics of phase change is not instantaneous, transformation induces an attenuation that be quantified using appropriate physical theory. Kinetics Earth′s transitions are well known: in this paper we show they constrained by data. We quantify influence transition upon mode body reflexion coefficient. perform numerical application for olivine to wadsleyite...

Abstract Condensed planets contract or expand as their temperature changes. With the exception of effect phase changes, this phenomenon is generally interpreted being solely related to thermal expansivity planet’s components. However, changes in density affect pressure and gravity and, consequently, compressibility. A radius also linked its rate rotation. Here again, pressure, gravity, compressibility are coupled. In article we clarify how a condensed planet with rotation, using simple...

We present an approach of the inverse gravimetric problem that allows gravity to be directly related deviatoric stresses without any rheological assumptions. In this a new set parameters is considered: (1) density variations over equipotential surfaces and height interfaces above corresponding (2) stress difference. The method applied lunar topographic data are interpreted in term transversally isotropic within Moon. It also provides inference on crustal thickness variations. estimated...

Aims. A recent major high-angular-resolution imaging survey of 42 large main-belt asteroids ( D > 100 km) with VLT/SPHERE has provided shape models these bodies an unprecedented accuracy. We ask whether the shapes correspond to Maclaurin or Jacobi hydrostatic equilibrium figures. Methods. To address this question, we compared aspect ratios and rotation rates Results. The polar flattenings globally do not match those ellipsoids. Moreover, equatorial axes are compatible axial symmetry as...

Various papers have discussed the forward relationships between internal density anomalies of a planet and its external gravity field. The inverse modelling, i.e. finding from potential is known to be highly non-unique. In this research note, we explain how 3-D basis can built represent variations that includes subset explicitly spans kernel operator. This representation clarifies origin non-uniqueness sources implies existence natural minimal norm for density. We illustrate these ideas by...

Condensed planets contract or expand as their temperature changes. With the exception of effect phase changes, this phenomenon is generally interpreted being solely related to thermal expansivity planet's components. However, changes in density affect pressure and gravity and, consequently, compressibility. A radius also linked its rate rotation. Here again, pressure, compressibility are coupled. In article we clarify how a condensed planet with rotation, using simple rigorous thermodynamic...