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Lunar laser ranging (LLR) has made major contributions to our understanding of the Moon's internal structure and the dynamics of the Earth-Moon system. Because of the recent improvements of the ground-based laser ranging facilities, the…

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…

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

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

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

We consider high angular resolution detection using distributed mobile platforms implemented with so-called partly calibrated arrays, where position errors between subarrays exist and the counterparts within each subarray are ideally…

Signal Processing · Electrical Eng. & Systems 2025-03-28 Guangbin Zhang , Yan Wang , Tianyao Huang , Yonina C. Eldar

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

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

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

Space debris has been posing a serious threat to human space activities and is needed to be measured and cataloged. As a new technology of space target surveillance, the measurement accuracy of DRLR (Diffuse Reflection Laser Ranging) is…

Space Physics · Physics 2015-06-03 Hao Sun , HaiFeng Zhang , ZhongPing Zhang , Bin Wu

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…

General Relativity and Quantum Cosmology · Physics 2012-08-17 James G. Williams , Slava G. Turyshev , Dale Boggs

This paper focuses on the optimal design of a modulated retroreflector (MRR) laser link to establish a high-speed downlink for cube satellites (CubeSats), taking into account the weight and power limitations commonly encountered by these…

Signal Processing · Electrical Eng. & Systems 2024-01-19 Mohammad Taghi Dabiri , Mazen Hasna , Saud Althunibat , Khalid Qaraqe

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

Many advanced techniques have been developed, tested and implemented in the last decades in almost all circular accelerators across the world to measure the linear optics. However, the greater availability and accuracy of beam diagnostics…

Accelerator Physics · Physics 2018-04-18 Andrea Franchi

Simultaneous estimation of range and angle of close emitters usually requires a multidimensional search. This paper offers an algorithm to improve the position of an element of any array designed on the basis of some certain or random…

Information Theory · Computer Science 2014-11-04 Mohammadreza Darabi

Circular Polarisation Ratio (CPR) mosaics from Mini-SAR on Chandrayaan-1 and Mini-RF on LRO are used to study craters near to the lunar north pole. The look direction of the detectors strongly affects the appearance of the crater CPR maps.…

Earth and Planetary Astrophysics · Physics 2014-08-26 Vincent R. Eke , Sarah A. Bartram , David A. Lane , David Smith , Luis F. A. Teodoro

Based on single particle tracking in the framework of classical Thomson scattering with incoherent superposition, we developed a fully relativistic, three dimensional numerical code that calculates and quantifies the characteristics of…

Optics · Physics 2013-03-27 Isaac Ghbregziabher , Bradley Shadwick , Donald Umstadter
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