Geodetic Rotation of the Solar System Bodies

Eroshkin, G. I.; Pashkevich, V. V.

doi:10.2478/v10018-007-0017-1

Cited by 13 publications

(16 citation statements)

References 2 publications

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“…This study confirms the all findings of our previous investigations (Eroshkin and Pashkevich, 2007) and (Eroshkin and Pashkevich, 2009): The secular terms of geodetic rotation of each planet of the Solar system depend on their distance from the Sun, the mass of which is dominant in the solar system.…”

Section: Discussionsupporting

confidence: 80%

“…Its main part (presented in Figure 12) depends on the orbital motions of Jupiter, as the heaviest planet in the solar system, and Mercury, as the nearest planet to the Sun. Q Q are phases and frequencies of the body, which taken from (Brumberg and Bretagnon, 2000) and (Eroshkin and Pashkevich, 2007); t is the time in the Julian days. After analytical integration (11) dt x x ' ' ³ and application of "Cascade" method:…”

Section: Methods Of the Problem Solutionmentioning

confidence: 99%

“…The mean longitudes of the planets and the Moon were taken from (Brumberg and Bretagnon, 2000). The mean longitude of Pluto was taken from previous investigation (Eroshkin and Pashkevich, 2007).…”

Section: Methods Of the Problem Solutionmentioning

confidence: 99%

“…In the previous investigations (Eroshkin and Pashkevich, 2007) and (Eroshkin and Pashkevich, 2009) the problem of the geodetic (relativistic) rotation of the major planets, Pluto, the Moon and the Sun were studied by using the DE404/LE404 ephemeris (Standish et al, 1995). The most essential terms of the geodetic rotation in the projections of the angular velocity vector of the geodetic rotation for the body of Solar system were found.…”

Section: Introductionmentioning

confidence: 99%

“…This investigation is continuation of our studies of the geodetic (relativistic) rotation of the Solar system bodies (Eroshkin and Pashkevich, 2007) and (Eroshkin and Pashkevich, 2009). For each body (the Moon, the Sun, the major planets and Pluto) the files of the values of the components of the angular velocity of the geodetic rotation are constructed over the time span from AD1000 to AD3000 with one day spacing, by using DE422/LE422 ephemeris (Folkner, 2011), with respect to the proper coordinate systems of the bodies (Seidelmann et al, 2005).…”

mentioning

confidence: 99%

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New High-Precision Values of the Geodetic Rotation of the Major Planets, Pluto, the Moon and the Sun

Pashkevich

2016

Artificial Satellites

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ABSTRACT. This investigation is continuation of our studies of the geodetic (relativistic) rotation of the Solar system bodies (Eroshkin and Pashkevich, 2007) and (Eroshkin and Pashkevich, 2009). For each body (the Moon, the Sun, the major planets and Pluto) the files of the values of the components of the angular velocity of the geodetic rotation are constructed over the time span from AD1000 to AD3000 with one day spacing, by using DE422/LE422 ephemeris (Folkner, 2011), with respect to the proper coordinate systems of the bodies (Seidelmann et al., 2005). For the first time in the perturbing terms of the physical librations for the Moon and in Euler angles for other bodies of the Solar system the most essential terms of the geodetic rotation are found by means of the least squares method and spectral analysis methods.

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Section: Discussionsupporting

confidence: 80%

Section: Methods Of the Problem Solutionmentioning

confidence: 99%

Section: Methods Of the Problem Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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New High-Precision Values of the Geodetic Rotation of the Major Planets, Pluto, the Moon and the Sun

Pashkevich

2016

Artificial Satellites

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Relativistic contributions to the rotation of Mars

Baland

Hees

Yseboodt

et al. 2023

A&A

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Context. The orientation and rotation of Mars, which can be described by a set of Euler angles (longitude, obliquity, and rotation angles), is estimated from radioscience data (tracking of orbiters and landers) and is then used to infer Mars internal properties. The data are analyzed using a modeling expressed within the Barycentric Celestial Reference System (BCRS). This modeling includes several relativistic contributions that need to be taken properly into account to avoid a misinterpretation of the data. Aims. We provide new and more accurate (to the 0.1 mas level) estimations of the relativistic corrections to be included in the BCRS model of the orientation and rotation of Mars. Methods. There are two types of relativistic contributions in Mars rotation and orientation: (i) those that directly impact the Euler angles and (ii) those resulting from the time transformation between a local Mars reference frame and BCRS. The former correspond essentially to the geodetic effect, but also to the smaller Lense-Thirring and Thomas precession effects. We compute them assuming that Mars evolves on a Keplerian orbit. As for the latter, we compute the effect of the time transformation and compare the rotation angle corrections obtained assuming that the planets evolve on Keplerian orbits with that obtained with realistic orbits as described by ephemerides. Results. The relativistic correction in longitude comes mainly from the geodetic effect and results in the geodetic precession (6.754 mas yr −1 ) and the geodetic annual nutation (0.565 mas amplitude). For the rotation angle, the correction is dominated by the effect of the time transformation. The main annual, semi-annual, and ter-annual terms have amplitudes of 166.954 mas, 7.783 mas, and 0.544 mas, respectively. The amplitude of the annual term differs by about 9 mas from the estimate usually considered by the community. We identify new terms at the Mars-Jupiter and Mars-Saturn synodic periods (0.567 mas and 0.102 mas amplitude) that are relevant considering the current level of uncertainty of the measurements, as well as a contribution to the rotation rate (7.3088 mas day −1 ). There is no significant correction that applies to the obliquity.

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Consideration of Relativistic Effects in the Rotation of Mars and its Satellites

Pashkevich

Vershkov

2019

Sol Syst Res

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Geodetic Rotation of the Solar System Bodies

Cited by 13 publications

References 2 publications

New High-Precision Values of the Geodetic Rotation of the Major Planets, Pluto, the Moon and the Sun

New High-Precision Values of the Geodetic Rotation of the Major Planets, Pluto, the Moon and the Sun

Relativistic contributions to the rotation of Mars

Consideration of Relativistic Effects in the Rotation of Mars and its Satellites

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