A global solution for the Mars static and seasonal gravity, Mars orientation, Phobos and Deimos masses, and Mars ephemeris

Konopliv, A. S.; Yoder, C. F.; Standish, E. M.; Yuan, Deren; Sjogren, W. L.

doi:10.1016/j.icarus.2005.12.025

Cited by 288 publications

(388 citation statements)

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“…It is necessary to say about the real accuracy of DE405 ephemerides. Right now, 12 years after the DE405 construction and 27 years after observations of Viking-1 (with more accurate data included in this ephemeris) the residuals for modern data for Odyssey don't surpass 200 m (Konopliv et al, 2006), and as Fig. 3, Table 5 demonstrate it.…”

Section: Comparison Of De and Epm Ephemeridesmentioning

confidence: 85%

EPM ephemerides and relativity

Pitjeva

2009

Proc. IAU

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Abstract. In the seventies of the last century the EPM ephemerides (Ephemerides of Planets and the Moon) of IAA RAS originated and have been developed since that time. These ephemerides are based upon relativistic equations of motion of celestial bodies and light rays and upon relativistic time scales. The updated model of EPM2008 includes the new values of planet masses and other constants, the improved dynamical model with adding Trans-Neptunian Objects and the expanded database . More than 260 parameters have been determined while improving the planetary part of EPM2008 to 550000 observations. EPM2008 have been oriented to ICRF by including into the total solution the VLBI data of spacecraft near the planets. The real uncertainty of EPM ephemerides has been checked by comparison with the JPL's DE ephemerides. Some estimates of the post-model parameters have been obtained: |1 − β| < 0.0002, |1 − γ| < 0.0002,Ġ/G = (−5.9 ± 4.4) · 10 −14 per year, the statistic zero corrections to the planet perihelion advances.Keywords. Relativity, celestial mechanics, ephemerides, radar astronomy Historical introduction: general relativity in EPM ephemeridesIn the seventies of the last century to support space flights the EPM ephemerides (Ephemerides of Planets and the Moon) of IAA RAS originated at about the same time as DE ephemerides and have been developed since that time.After the brilliant explanation by Einstein the strange (43 /cy) discrepancy between theoretical predictions and observations of the secular motion of Mercury perihelion, the planet ephemerides are to be constructed on the basis of General Relativity. The relativistic basis for constructing ephemerides was provided many years ago in the papers by Estabrook (1971, and it has been used for JPL (Standish, 1976), IAA RAS (Krasinsky et al., 1978), and MIT (Ash et al., 1967) ephemerides for more than 30 years. However, for the workers in Russia the main guide was the book of Brumberg (1972). Moreover, the relativistic equations of the planet motion may be given in different coordinate systems of the Schwarzschild metric (parameter α), namely, standard, harmonic, izotropic, etc. However, planet coordinates turned out to be essentially different for the standard and harmonic systems. Brumberg (1979) proved that ephemeris construction and processing of observations should be done in the same coordinate system, in which case the dependence on the coordinate system (parameter α) vanishes. Later on, the resolutions of IAU (1991IAU ( , 2000 recommended to use harmonic coordinates for BCRS. Actually, harmonic coordinates have been used for all modern ephemerides since long ago.Our first ephemerides of the inner planets which were analytical (Krasinsky et al., 1978) in contrast to more perfect analytical ephemerides of the Moon and planets by Chapront and Bretagnon were compared with optical and radar observations. Simultaneously we also computed numerical planet ephemerides. Our comparison revealed that numerical 170 at https://www.cambridge.org/core/terms. https://doi

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Section: Comparison Of De and Epm Ephemeridesmentioning

confidence: 85%

EPM ephemerides and relativity

Pitjeva

2009

Proc. IAU

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“…In the Solar System we have k f ≈ 0.9 for the terrestrial planets, and 0.3 < k f < 0.5 for the gaseous planets (Yoder 1995). The elastic Love numbers were measured with accuracy only for the Earth and Mars, respectively, k e ≈ 0.3 (Mathews et al 1995), and k e ≈ 0.15 (Konopliv et al 2006). For the gaseous planets only the ratio k 2 /Q is known for Jupiter and Saturn, respectively, k 2 /Q ≈ 1.1 × 10 −5 (Lainey et al 2009), and k 2 /Q ≈ 2.3 × 10 −4 (Lainey et al 2012).…”

Section: Application To Close-in Planetsmentioning

confidence: 99%

Deformation and tidal evolution of close-in planets and satellites using a Maxwell viscoelastic rheology

Correia

Boué

Laskar

et al. 2014

A&A

109

186

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In this paper we present a new approach to tidal theory. Assuming a Maxwell viscoelastic rheology, we compute the instantaneous deformation of celestial bodies using a differential equation for the gravity field coefficients. This method allows large eccentricities and it is not limited to quasi-periodic perturbations. It can take into account an extended class of perturbations, including chaotic motions and transient events. We apply our model to some already detected eccentric hot Jupiters and super-Earths in planar configurations. We show that when the relaxation time of the deformation is larger than the orbital period, spin-orbit equilibria arise naturally at half-integers of the mean motion, even for gaseous planets. In the case of super-Earths, these equilibria can be maintained for very low values of eccentricity. Our method can also be used to study planets with complex internal structures and other rheologies.

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“…14. Topography (A) and free-air gravity (C) and longitudinal profiles centered on Claritas rise (B) and (D) using harmonic degrees 5-75 of the spherical harmonic models Mars2000 (Smith et al, 2001) for topography and jgm95j01 (Konopliv et al, 2006) for gravity (solid lines) and the best-fit model profile (dashed line). Claritas rise represents a topographic and gravitational peak within the Thaumasia highlands.…”

Section: Crism Analysis Of the Claritas Rise-forming Rock Materialsmentioning

confidence: 99%

“…14). We have processed the spherical harmonic models of the topography, Mars2000 (Smith et al, 2001), and gravity, jgm95j01 (Konopliv et al, 2006) to assess the state of flexural compensation of the high-standing promontory and infer its density. We used harmonic degrees 5-75, thereby excluding degrees dominated by the hemisphere-scale Tharsis magmatic complex.…”

Section: Geophysical Investigationmentioning

confidence: 99%