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Robotic and human activities in the cislunar space are expected to rapidly increase in the future. Modeling, jointly analysis and sharing of time measurements made in the vicinity of the Moon might indispensably demand calculating a lunar…

Instrumentation and Methods for Astrophysics · Physics 2025-12-18 Xu Lu , Tian-Ning Yang , Yi Xie

We introduce the general-relativistic definition of Lunar Coordinate Time (TCL) based on the IAU 2000 resolutions that provide a framework for relativistic reference systems. From this foundation, we derive a transformation equation that…

General Relativity and Quantum Cosmology · Physics 2025-01-14 Sergei M. Kopeikin , George H. Kaplan

Relativistic corrections are essential for time transformations between geocentric, solar system barycentric, and luni-centric reference systems to account for differences in gravitational potential and relative motion. As the primary…

Earth and Planetary Astrophysics · Physics 2025-07-01 Slava G. Turyshev , James G. Williams , Dale H. Boggs , Ryan S. Park

Future lunar missions will depend on an internationally agreed upon timescale that remains accurate under the Moon's unique gravitational environment and its orbital dynamics. This thesis investigates the proposed Lunar Coordinate Time…

Earth and Planetary Astrophysics · Physics 2025-09-12 Yan Seyffert

We present a unified post-Newtonian framework for relativistic timing and coordinate transformations covering six time scales (TCB, TCG, TT, TDB, TCL, TL) and three reference systems (BCRS, GCRS, LCRS). Extending the IAU conventions, we…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Slava G. Turyshev

The regain of interest in Moon exploration has substantially grown in the last years. For this reason, the space agencies consider the development of a precise navigation and positioning service similar to the Earth GNSS. Aiming at some…

Earth and Planetary Astrophysics · Physics 2025-11-05 Pascale Defraigne , Frédéric Meynadier , Adrien Bourgoin

This paper summarizes theoretical definitions of the relativistic coordinate time scales introduced by the IAU 2000 framework as well as practical aspects of their use. It is argued that the IAU framework already defines relativistic local…

Instrumentation and Methods for Astrophysics · Physics 2026-04-20 Sergei A. Klioner

For tracking a spacecraft and doing radio science, the transformation between the proper time $\tau$ given by a clock carried on board a spacecraft and the barycentric coordinate time (TCB) is investigated under IAU resolutions. In order to…

General Relativity and Quantum Cosmology · Physics 2013-07-05 Xue-Mei Deng

Lunar time metrology necessitates a unified temporal framework beyond Earth, requiring an independent lunar system for timekeeping, dissemination, and calendrics. Recent American publications define Lunar Coordinate Time (LTC) within…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Min Liu , Jing-Song Ping , Wen-Xiao Li , Zhou-Jian Cao , Jie Yang , Yong-Jun Wang , Hong-Bo Jin , Wen-Zhao Zhang , Ming-Xue Shao , Jian-Guo Yan , He-Zhen Yu

The timing (cross-)calibration of astronomical instruments is often done by comparing pulsar times-of-arrival (TOAs) to a reference timing model. In high-energy astronomy, the choice of solar system ephemerides and source positions used to…

We take a critical look at the lithium depletion boundary (LDB) technique that has recently been used to derive the ages of open clusters. We identify the sources of experimental and systematic error and show that the probable errors are…

Astrophysics · Physics 2007-05-23 R. D. Jeffries , T. Naylor

For relativistic modelling of high-accuracy astronomical data several time scales are used: barycentric and geocentric coordinate times, TCB and TCG, as well as two additional time scales, TDB and TT, that are defined as linear functions of…

Astrophysics · Physics 2007-08-11 Sergei A. Klioner

We examine in detail 15 Babylonian observations of lunar appulses and occultations made between 80 and 419 BC for the purpose of setting useful limits on Earth's clock error, as quantified by $\Delta$T, the difference between Terrestrial…

Earth and Planetary Astrophysics · Physics 2017-07-19 Guillermo Gonzalez

The Light-Time Effect (LTE) is observed whenever the distance between the observer and any kind of periodic event changes in time. The usual cause of this distance change is the reflex motion about the system's barycenter due to the…

Instrumentation and Methods for Astrophysics · Physics 2012-04-18 S. K. Kozlowski , M. Konacki , P. Sybilski

This note suggests nomenclature for dealing with the units of various astronomical quantities that are used with the relativistic time scales TT, TDB, TCB and TCG. It is suggested to avoid wordings like "TDB units" and "TT units" and avoid…

Instrumentation and Methods for Astrophysics · Physics 2009-08-29 S. Klioner , N. Capitaine , W. Folkner , B. Guinot , T. -Y. Huang , S. Kopeikin , E. Pitjeva , P. K. Seidelmann , M. Soffel

Based on the light an exoplanet blocks from its host star as it passes in front of it during a transit, the mid-transit time can be determined. Periodic variations in mid-transit times can indicate another planet's gravitational influence.…

Earth and Planetary Astrophysics · Physics 2022-09-14 Paige Yeung , Quinn Perian , Peyton Robertson , Michael Fitzgerald , Martin Fowler , Frank Sienkiewicz , Kalée Tock

We have developed a means for accurate time transfer using optical fibers and aim at the synchronization of clocks located at different places on an institute campus with an overall uncertainty of 100 ps or better. Such an installation…

Instrumentation and Detectors · Physics 2019-10-25 D. Piester , M. Fujieda , M. Rost , A. Bauch

In April 2024, the White House directed NASA to establish Coordinated Lunar Time (LTC) by December 2026. The programme assumes that a unified time standard can be constructed by deploying atomic clocks on the lunar surface, computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-24 Paul Borrill

This paper presents almanac and ephemeris message representation for lunar navigation satellites supporting the Lunar Augmented Navigation System (LANS). The proposed method combines osculating orbital elements, Chebyshev polynomials, and…

Instrumentation and Methods for Astrophysics · Physics 2026-02-18 Keidai Iiyama , Grace Gao

Pulsar positions can be measured with high precision using both pulsar timing methods and very-long-baseline interferometry (VLBI). Pulsar timing positions are referenced to a solar-system ephemeris, whereas VLBI positions are referenced to…

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