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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…

Optics · Physics 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,…

Instrumentation and Methods for Astrophysics · Physics 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…

Instrumentation and Methods for Astrophysics · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

Instrumentation and Methods for Astrophysics · Physics 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…

Instrumentation and Methods for Astrophysics · Physics 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…

Astrophysics · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

General Relativity and Quantum Cosmology · Physics 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,…

General Relativity and Quantum Cosmology · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

Earth and Planetary Astrophysics · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

Instrumentation and Methods for Astrophysics · Physics 2026-05-20 Slava G. Turyshev
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