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Lunar Laser Ranging (LLR) measures the distance between observatories on Earth and retro-reflectors on Moon since 1970. In this paper, we study the effect of non-tidal station loading (NTSL) in the analysis of LLR data. We add the non-tidal…

Geophysics · Physics 2021-07-27 Vishwa Vijay Singh , Liliane Biskupek , Jürgen Müller , Mingyue Zhang

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

It is customary to perform analysis of the Earth's rotation in two steps: first, to present results of estimation of the Earth orientation parameters in the form of time series based on a simplified model of variations of the Earth's…

Astrophysics · Physics 2010-12-14 L. Petrov

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

We present constraints on violations of Lorentz Invariance based on Lunar Laser Ranging (LLR) data. LLR measures the Earth-Moon separation by timing the round-trip travel of light between the two bodies, and is currently accurate to a few…

General Relativity and Quantum Cosmology · Physics 2008-11-26 James B. R. Battat , John F. Chandler , Christopher W. Stubbs

Rotation and orbital eccentricity both strongly influence planetary climate. Eccentricities can often be measured for exoplanets, but rotation rates are currently difficult or impossible to constrain. Here we examine how the combined…

Earth and Planetary Astrophysics · Physics 2019-05-01 Arthur D. Adams , William R. Boos , Eric T. Wolf

At present, tracking data for planetary missions largely consists of radio observables: range-rate range and angular position. Future planetary missions may use Interplanetary Laser Ranging (ILR) as a tracking observable. Two-way ILR will…

Earth and Planetary Astrophysics · Physics 2018-07-25 Dominic Dirkx , Ivan Prochazka , Sven Bauer , Pieter Visser , Ron Noomen , Leonid I. Gurvits , Bert Vermeersen

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

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…

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

This work aims to explore the possibilities of determining the long-period part of the precession-nutation of the Earth with techniques other than very long baseline interferometry (VLBI). Lunar laser ranging (LLR) is chosen for its…

Geophysics · Physics 2019-07-03 Yu-Ting Cheng , Jia-Cheng Liu , Zi Zhu

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

We propose a method to account for the Earth oblateness effect in preliminary orbit determination of satellites in low orbits with radar observations. This method is an improvement of the one described in (Gronchi et al 2015), which uses a…

Space Physics · Physics 2018-10-24 Helene Ma , Giovanni F. Gronchi , Davide Bracali Cioci

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…

Earth and Planetary Astrophysics · Physics 2025-10-20 Krzysztof Sośnica , Agnès Fienga , Dmitry Pavlov , Nicolas Rambaux , Radosław Zajdel

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

Currently, over forty transiting planets have been discovered by ground-based photometric surveys, and space-based missions like Kepler and CoRoT are expected to detect hundreds more. Follow-up photometric observations from the ground will…

Earth and Planetary Astrophysics · Physics 2015-05-13 Knicole D. Colon , Eric B. Ford

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

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

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…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James G. Williams , Dale H. Boggs , Slava G. Turyshev , J. Todd Ratcliff
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