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High-precision corner-cube retroreflectors (CCRs) are critical for advanced lunar laser ranging (LLR) because they enable sub-millimeter-scale measurements of the Earth-Moon distance -- a level of precision essential for rigorous tests of…

光学 · 物理学 2026-04-13 Slava G. Turyshev

We present a high-power continuous-wave (CW) lunar laser ranging (LLR) technique that has the potential to significantly improve Earth--Moon distance measurements. Using a 1 kW CW laser at 1064 nm and a 1 m-aperture telescope as an example,…

天体物理仪器与方法 · 物理学 2025-07-01 Slava G. Turyshev

Lunar laser ranging (LLR) to the Apollo retro-reflectors, which features the most long-lasting experiment in testing General Relativity theories, has remained operational over the past four decades. To date, with significant improvement of…

天体物理仪器与方法 · 物理学 2020-12-25 C. Wu , D. Currie , D. Wellnitz , B. Behr

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) 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

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

This paper primarily investigates the effect of the tilt of corner cube reflector (CCR) arrays on lunar laser ranging (LLR). A mathematical model was established to study the random errors caused by the tilt of the CCR arrays. The study…

天体物理仪器与方法 · 物理学 2024-08-22 Jin Cao , Rufeng Tang , Kai Huang , Zhulian Li , Yongzhang Yang , Kai Huang , Jintao Li , Yuqiang Li

This paper provides an overview of the Lunar Laser Ranging (LLR) experiments. The measurement principle is explained and its theory is derived. Both contributions, the direct reflected light from retroreflectors as well as the scattered…

天体物理仪器与方法 · 物理学 2020-11-05 Andreas Märki

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

Because of lunar librations, the retroreflectors left on the moon do not, in general, face directly at the Earth. Usually this is regarded as a disadvantage. It results in a spread of arrival times, because each cube that comprises the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Louis K. Scheffer

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), 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

Lunar retro-reflector arrays (LRAs) consisting of corner-cube reflectors (CCRs) placed on the nearside of the Moon during the Apollo era have demonstrated their longevity, cost-effectiveness, ease of deployment, and most importantly their…

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

More precise lunar and Martian ranging will enable unprecedented tests of Einstein's theory of General Relativity and well as lunar and planetary science. NASA is currently planning several missions to return to the Moon, and it is natural…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Stephen M. Merkowitz , Philip W. Dabney , Jeffrey C. Livas , Jan F. McGarry , Gregory A. Neumann , Thomas W. Zagwodzki

Forty years ago, Apollo astronauts placed the first of several retroreflector arrays on the lunar surface. Their continued usefulness for laser-ranging might suggest that the lunar environment does not damage optical devices. However, new…

地球与行星天体物理 · 物理学 2013-09-25 T. W. Murphy, , E. G. Adelberger , J. B. R. Battat , C. D. Hoyle , R. J. McMillan , E. L. Michelsen , R. Samad , C. W. Stubbs , H. E. Swanson

Lunar laser ranging has provided many of the best tests of gravitation since the first Apollo astronauts landed on the Moon. The march to higher precision continues to this day, now entering the millimeter regime, and promising continued…

广义相对论与量子宇宙学 · 物理学 2013-09-25 T. W. Murphy

In this note we mainly explore the possibility of measuring the action of the intrinsic gravitomagnetic field of the rotating Earth on the orbital motion of the Moon with the Lunar Laser Ranging (LLR) technique. Expected improvements in it…

广义相对论与量子宇宙学 · 物理学 2009-09-02 Lorenzo Iorio

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

Lunar laser ranging (LLR) currently delivers mm-class tests of relativistic gravity and the lunar interior, but further gains are limited by photon-starved pulsed systems, array-induced pulse broadening, and atmospheric variability. This…

天体物理仪器与方法 · 物理学 2026-05-20 Slava G. Turyshev
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