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Chapront, J.; Chapront‐Touzé, Michelle; Francou, G.

doi:10.1023/a:1008379921055

Cited by 40 publications

(68 citation statements)

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“…-The eight major planets and the five big asteroids had their orbits analytically computed during the same process. -Perturbations of the Moon issued from ELP2000 (Chapront-Touze & Chapront 1983) on the eight major planets were introduced during the iteration process. -Relativistic corrections were introduced in the iterations.…”

Section: Historical Reviewmentioning

confidence: 99%

New analytical planetary theories VSOP2013 and TOP2013

Simon

Francou

Fienga

et al. 2013

A&A

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Context. The development of precise numerical integrations of the motion of the planets, taking into account the most recent observations, lead us to improve the two families of analytical planetary theories built in the Institut de mécanique céleste et de calcul des éphémérides (IMCCE), the Variations Séculaires des Orbites Planétaires (VSOP) and the Theory of the Outer Planets (TOP) theories. Aims. We have built the solutions VSOP2010 and TOP2010 fitted to the Jet Propulsion Laboratory (JPL) numerical integration DE405 and the solutions VSOP2013 and TOP2013 fitted to the European recent numerical integration INPOP10a. This paper specifically considers VSOP2013 and TOP2013. Methods. We have improved the construction of VSOP by analytically computing the pertubations due to the asteroids and to Pluto. We have increased the precision of the VSOP solutions of Jupiter and Saturn by using TOP solutions. We have also improved the construction of TOP by computing the perturbations due to the telluric planets from VSOP solutions. Moreover, TOP contains a solution of the motion of the Pluto-Charon barycenter.

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Section: Historical Reviewmentioning

confidence: 99%

New analytical planetary theories VSOP2013 and TOP2013

Simon

Francou

Fienga

et al. 2013

A&A

Self Cite

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“…The coordinates of the vector EM are provided by a lunar ephemeris; the coordinates of the Earth-Moon barycenter in the BCRS are provided by a planetary ephemeris. In our work, we have used, for the orbital motion of the Moon, the lunar ephemeris ELP2000 developed by Chapront-Touzé & Chapront (1983), which is based on an analytical solution and numerical complements. For the motion of the Earth-Moon barycenter, JPL (Jet Propulsion Laboratory) planetary ephemerides (DE245) have been used.…”

Section: Lunar Laser Ranging Data Analysis: Calculation Of the Residualsmentioning

confidence: 99%

“…Relativistic corrections also have to be applied for the coordinate transformation between terrestrial and selenocentric reference systems to the BCRS. All the corrections described above have been applied according to Chapront et al (1999).…”

Section: Lunar Laser Ranging Data Analysis: Calculation Of the Residualsmentioning

confidence: 99%

Celestial pole offsets from lunar laser ranging and comparison with VLBI

Zerhouni

Capitaine

2009

A&A

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Context. The analysis of lunar laser ranging (LLR) observations is based on determining the round-trip travel times of light pulses between stations on the Earth and reflectors on the surface of the Moon. Several works have demonstrated that this technique is powerful in various domains including astronomy, geodynamics and gravitational physics. Aims. In the field of geodynamics, LLR contributes to the realization of a dynamical celestial reference frame, in contrast to very long baseline interferometry (VLBI) that determines a kinematical celestial reference frame. In this paper, we have determined corrections to the celestial pole coordinates, denoted X, Y, using LLR observations. This determination is of particular interest for comparison with the one obtained from VLBI observations. The main purpose is to study the benefits of LLR for the determination of the celestial pole coordinates and second how to best combine the time series obtained from both techniques. Methods. For these determinations, data acquired by LLR tracking stations since 1969 were analyzed and corrections to the nutation terms estimated using a weighted least square fit. Finally, LLR data were combined with the IVS combined VLBI series of 23-year duration. Results. We have demonstrated the possibility of determining the celestial pole offsets from LLR data even though the results are not as accurate nor as dense as those obtained with VLBI. This work provides some external constraints to the celestial pole coordinates derived from VLBI observations. Moreover, the LLR determination of the long periodic nutation terms shows an improvement with respect to previous studies. The combination of LLR and VLBI series may indicate that the combined series reveal details that do not appear in the VLBI series alone.

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“…00 448, but to the angle between the ecliptic and the reference plane of the International Celestial Reference System (ICRS). See Fig.1 and Table 11 of Chapront et al (1999), where the obliquity of the inertial mean ecliptic to the ICRS equator was estimated as " 0 (ICRS) = 23 26 0 21: 00 410 81 0: 00 000 07:…”

Section: Precessionmentioning

confidence: 99%

“…Next is the correction to the current precession constant, p. The recent estimates of p based on Very Long Baseline Interferometry (VLBI) observation seem to converge to a value close to ;0:30 00 /cy (Mathews et al, 2000Petrov, 2000Shirai and Fukushima, 2000 Vondr ak and Ron, 2000. Unfortunately this is signi cantly di erent f r o m ;0:34 00 /cy, the latest value determined from the Lunar Laser Ranging (LLR) data (Chapront et al, 1999). The di erence is roughly ten times larger than the sum of their formal uncertainties.…”

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confidence: 94%

Report on Astronomical Constants

Fukushima¹

2000

International Astronomical Union Colloquium

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Abstract. Recent progress in the determinations of astronomical constants is reviewed. First is the latest estimation of the general relativistic scale constants, L C , L G , and L B (Irwin and Fukushima, 1999). By reestimating the uncertainty, the value of the rst constant i s g i v en as L C = 1 :480 826 867 4 10 ;8 1:4 10 ;17 . Also noted is the rigorous relation among these three, L B = L C + L G ; L C L G . Based on the latest determination of the geoidal potential W 0 in the IAG 1999 Best Estimate of Geodetic Parmeters (Groten, 1999), L G and L B were reevaluated as L G = 6 :969 290 09 10 ;10 6 10 ;18 and L B = 1 :550 519 767 3 10 ;8 2:0 10 ;17 . Since L G is roughly related to W 0 , a proposal to x its numerical value is presented in order to remove the geophysical ambiguity i n i t s e v aluation in the future. In that case, L G becomes a de ning constant for the scale di erence between the geocentric and terrestrial coordinate systems. While L C and L B remain as a primary and derived constant, respectively. Next is the correction to the current precession constant, p. The recent estimates of p based on Very Long Baseline Interferometry (VLBI) observation seem to converge to a value close to ;0:30 00 /cy (Mathews et al., 2000Petrov, 2000Shirai and Fukushima, 2000 Vondr ak and Ron, 2000. Unfortunately this is signi cantly di erent f r o m ;0:34 00 /cy, the latest value determined from the Lunar Laser Ranging (LLR) data (Chapront et al., 1999). The di erence is roughly ten times larger than the sum of their formal uncertainties. Since the cause of this di erence is not clear, we rst arranged the best estimates based on VLBI and LLR techniques, respectively, then took a simple mean of these two best estimates, and recommend it as the current best estimate. The value derived is p = 5 028:78 0:03 00 /cy. Similar estimates were given for some other quantities related to the precession formula namely the correction to the obliquity r a t e o f t h e I A U 1976 precession formula Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number.

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Cited by 40 publications

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New analytical planetary theories VSOP2013 and TOP2013

New analytical planetary theories VSOP2013 and TOP2013

Celestial pole offsets from lunar laser ranging and comparison with VLBI

Report on Astronomical Constants

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