Details
| Original language | English |
|---|---|
| Article number | L5 |
| Journal | Astronomy and astrophysics |
| Volume | 522 |
| Issue number | 3 |
| Publication status | Published - 29 Oct 2010 |
Abstract
Context. Forty years of lunar laser ranging (LLR) data provide an excellent basis to determine various parameters of the Earth-Moon system as well as parameters related to gravitational physics. Aims.We update the Institut f̈r Erdmessung (IfE) LLR model taking the effect of a fluid lunar core into consideration. The temporal variation in the gravitational constant G̈/G0 and the strong equivalence principle, parameterized by the Nordtvedt parameter , are investigated. Methods.A set of LLR observations from 1970 to 2009 was analysed and the parameters were determined by a least squares adjustment in two runs. After solving for classical Newtonian parameters (e.g. initial conditions for the lunar orbit and rotation) in the first run, relativistic parameters were determined in the second run. Results.The upper limits to the gravitational constant and the Nordtvedt parameter were found to be G̈/G0 = (.0.7 ± 3.8)×10-13 yr-1 and = (.0.6 ± 5.2)×10-4.
Keywords
- celestial mechanics, ephemerides, gravitation, Moon
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Astronomy and Astrophysics
- Earth and Planetary Sciences(all)
- Space and Planetary Science
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In: Astronomy and astrophysics, Vol. 522, No. 3, L5, 29.10.2010.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Lunar laser ranging test of the Nordtvedt parameter and a possible variation in the gravitational constant
AU - Hofmann, F.
AU - Müller, J.
AU - Biskupek, L.
PY - 2010/10/29
Y1 - 2010/10/29
N2 - Context. Forty years of lunar laser ranging (LLR) data provide an excellent basis to determine various parameters of the Earth-Moon system as well as parameters related to gravitational physics. Aims.We update the Institut f̈r Erdmessung (IfE) LLR model taking the effect of a fluid lunar core into consideration. The temporal variation in the gravitational constant G̈/G0 and the strong equivalence principle, parameterized by the Nordtvedt parameter , are investigated. Methods.A set of LLR observations from 1970 to 2009 was analysed and the parameters were determined by a least squares adjustment in two runs. After solving for classical Newtonian parameters (e.g. initial conditions for the lunar orbit and rotation) in the first run, relativistic parameters were determined in the second run. Results.The upper limits to the gravitational constant and the Nordtvedt parameter were found to be G̈/G0 = (.0.7 ± 3.8)×10-13 yr-1 and = (.0.6 ± 5.2)×10-4.
AB - Context. Forty years of lunar laser ranging (LLR) data provide an excellent basis to determine various parameters of the Earth-Moon system as well as parameters related to gravitational physics. Aims.We update the Institut f̈r Erdmessung (IfE) LLR model taking the effect of a fluid lunar core into consideration. The temporal variation in the gravitational constant G̈/G0 and the strong equivalence principle, parameterized by the Nordtvedt parameter , are investigated. Methods.A set of LLR observations from 1970 to 2009 was analysed and the parameters were determined by a least squares adjustment in two runs. After solving for classical Newtonian parameters (e.g. initial conditions for the lunar orbit and rotation) in the first run, relativistic parameters were determined in the second run. Results.The upper limits to the gravitational constant and the Nordtvedt parameter were found to be G̈/G0 = (.0.7 ± 3.8)×10-13 yr-1 and = (.0.6 ± 5.2)×10-4.
KW - celestial mechanics
KW - ephemerides
KW - gravitation
KW - Moon
UR - http://www.scopus.com/inward/record.url?scp=78049478014&partnerID=8YFLogxK
U2 - 10.1051/0004-6361/201015659
DO - 10.1051/0004-6361/201015659
M3 - Article
AN - SCOPUS:78049478014
VL - 522
JO - Astronomy and astrophysics
JF - Astronomy and astrophysics
SN - 0004-6361
IS - 3
M1 - L5
ER -