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Lunar Laser Ranging (LLR) measurements are crucial for advanced exploration of the laws of fundamental gravitational physics and geophysics. Current LLR technology allows us to measure distances to the Moon with a precision approaching 1…

广义相对论与量子宇宙学 · 物理学 2008-11-26 S. M. Kopeikin , E. Pavlis , D. Pavlis , V. A. Brumberg , A. Escapa , J. Getino , A. Gusev , J. Mueller , W. -T. Ni , N. Petrova

Analysis of Lunar Laser Ranging (LLR) data provides science results: gravitational physics and ephemeris information from the orbit, lunar science from rotation and solid-body tides, and Earth science. Sensitive tests of gravitational…

广义相对论与量子宇宙学 · 物理学 2007-05-23 James G. Williams , Dale H. Boggs , Slava G. Turyshev , J. Todd Ratcliff

Lunar Laser Ranging (LLR), which has been carried out for more than 35 years, is used to determine many parameters within the Earth-Moon system. This includes coordinates of terrestrial ranging stations and that of lunar retro-reflectors,…

广义相对论与量子宇宙学 · 物理学 2009-09-29 Juergen Mueller , James G. Williams , Slava G. Turyshev , Peter J. Shelus

We use the tidal deformations of the Moon induced by the Earth and the Sun as a tool for studying the inner structure of our satellite. Based on measurements of the degree-two tidal Love numbers k2 and h2 and dissipation coefficients from…

A recent analysis of a Lunar Laser Ranging (LLR) data record spanning 38.7 yr revealed an anomalous increase of the eccentricity of the lunar orbit amounting to de/dt_meas = (9 +/- 3) 10^-12 yr^-1. The present-day models of the dissipative…

广义相对论与量子宇宙学 · 物理学 2011-07-26 Lorenzo Iorio

Precise measurements of the Earth-Moon distance by the lunar laser ranging (LLR), which begun in the early 1970's, contributed significantly to geodesy, geophysics, and lunar planetology, as well as enabled astrophysicists to perform…

天体物理学 · 物理学 2009-11-07 Yu. V. Dumin

Lunar Laser Ranging (LLR) measurements are crucial for advanced exploration of the evolutionary history of the lunar orbit, the laws of fundamental gravitational physics, selenophysics and geophysics as well as for future human missions to…

广义相对论与量子宇宙学 · 物理学 2009-02-23 Sergei Kopeikin

Lunar laser ranging (LLR) is used to conduct high-precision measurements of ranges between an observatory on Earth and a laser retro-reflector on the lunar surface. Over the years, LLR has benefited from a number of improvements both in…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Juergen Mueller , James G. Williams , Slava G. Turyshev

The Lunar Laser Ranging (LLR) experiment has accumulated 50 years of range data of improving accuracy from ground stations to the laser retroreflector arrays (LRAs) on the lunar surface. The upcoming decade offers several opportunities to…

Lunar laser ranging (LLR) data and Apollo seismic data analyses, revealed independent evidence for the presence of a fluid lunar core. However, the size of the lunar fluid core remained uncertain by $\pm55$ km (encompassing two contrasting…

地球物理 · 物理学 2019-07-25 Vishnu Viswanathan , Nicolas Rambaux , Agnes Fienga , Jacques Laskar , Mickael Gastineau

The applicability of the linear theory of elasticity to the Moon has been studied. As a criterion was taken the smallness of the strain tensor. The elastic moduli are obtained from the data of the project "Apollo". The pressure was…

地球物理 · 物理学 2017-06-29 Vladimir Pavlov

Since 1969, Lunar Laser Ranging (LLR) data have been collected by various observatories and analysed by different analysis groups. In the recent years, observations with bigger telescopes (APOLLO) and at infra-red wavelength (OCA) are…

广义相对论与量子宇宙学 · 物理学 2020-12-23 Liliane Biskupek , Jürgen Müller , Jean-Marie Torre

LLR measures the distance between observatories on Earth and retro-reflectors on Moon since 1969. In this paper, we estimate the Earth Rotation Parameters (ERP; terrestrial pole offsets, $x_p$ and $y_p$, and Earth rotation phase,…

地球物理 · 物理学 2022-12-20 Vishwa Vijay Singh , Liliane Biskupek , Jürgen Müller , Mingyue Zhang

The Lunar Laser Ranging (LLR) experiment provides precise observations of the lunar orbit that contribute to a wide range of science investigations. In particular, time series of highly accurate measurements of the distance between the…

广义相对论与量子宇宙学 · 物理学 2012-08-17 James G. Williams , Slava G. Turyshev , Dale Boggs

A new analysis of extended data records collected with the Lunar Laser Ranging (LLR) technique performed with improved tidal models was not able to resolve the issue of the anomalous rate $\dot e$ of the eccentricity $e$ of the orbit of the…

广义相对论与量子宇宙学 · 物理学 2014-05-05 Lorenzo Iorio

Solid Earth tide represents the response of solid Earth to the lunar (solar) gravitational force. The yielding solid Earth due to the force has been thought to be a prolate ellipsoid since the time of Lord Kelvin, yet the ellipsoid's…

地球物理 · 物理学 2024-11-26 Yongfeng Yang , Yunfei Zhang , Qiang Liu , Xianqing Lv , Pu Huang

Laser pulses fired at retroreflectors on the Moon provide very accurate ranges. Analysis yields information on Earth, Moon, and orbit. The highly accurate retroreflector positions have uncertainties less than a meter. Tides on the Moon show…

广义相对论与量子宇宙学 · 物理学 2010-03-24 James G. Williams , Slava G. Turyshev , Dale H. Boggs , J. Todd Ratcliff

In the companion paper ("Erosion rate of lunar soil under a landing rocket, part 1: identifying the rate-limiting physics", this issue) an equation was developed for the rate that lunar soil erodes under the exhaust of a landing rocket.…

地球与行星天体物理 · 物理学 2024-03-28 Philip Metzger

All future lunar missions require a definition of the lunar reference system and a realization in the form of the lunar reference frame to ensure consistent products for positioning, navigation, cartography, and timing. This paper defines…

地球与行星天体物理 · 物理学 2025-10-20 Krzysztof Sośnica , Agnès Fienga , Dmitry Pavlov , Nicolas Rambaux , Radosław Zajdel

High precision ephemerides not only support space missions, but can also be used to study the origin and future of celestial bodies. In this paper, a coupled orbit rotation dynamics model that fully takes into account the rotation of the…

地球与行星天体物理 · 物理学 2024-10-30 Yongzhang Yang , Kai Huang , Jianguo Yan , Yuqiang Li
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