IAU 2024 Resolution II: LCRS and TCL

Publisher
International Astronomical Union, Commission A3
Published
Type
Resolution
Status
Adopted
Primary source
Original document

Key facts

  • The International Astronomical Union adopted Resolution II at its XXXII General Assembly in 2024; the draft text is dated 15 April 2024. [1]Official
  • The resolution names the time coordinate of the Lunar Celestial Reference System Lunar Coordinate Time, abbreviated TCL. [1]Official
  • TCL reads 1977 January 1, 0h 0m 32.184s exactly when TCB reads the same at the centre of the Moon. [1]Official
  • A coordinate time is a coordinate, not a clock reading, so no instrument reads TCL directly. [2]Official
  • Rates quoted against TCL on this site, such as 56.02 µs/day for a selenoid clock against a geoid clock, are model values. [3]

In plain language

The International Astronomical Union adopted this resolution at its XXXII General Assembly in 2024 [1]Official. It does the work that a policy memorandum cannot do: it says what lunar time is measured in, and from which reference system.

Two objects come out of it. The first is the Lunar Celestial Reference System, a coordinate system centred on the Moon. The second is its time coordinate, Lunar Coordinate Time, abbreviated TCL [1]Official.

Neither object is a clock. TCL is a coordinate of a reference system, so no instrument displays it and no bulletin publishes it [2]Official. Everything an operational lunar standard would need is built on top of this definition, not instead of it. The glossary entry for TCL states the definition in fifty words.

What it decides

  • A lunar reference system, built like the Earth one. The Lunar Celestial Reference System follows the methods already used for the Geocentric Celestial Reference System [1]Official. Nothing new is invented; the terrestrial construction is transferred to the Moon. The entry for the LCRS is the short version.
  • A name for its time coordinate. The time coordinate of that system is Lunar Coordinate Time, TCL [1]Official.
  • The same metric machinery as in 2000. The metric and the transformation between the barycentric system and the lunar one follow IAU 2000 Resolution B1.3, with lunar quantities replacing the terrestrial ones [1]Official. That is why the relativistic literature could pick the definition up immediately [4].
  • A unit that matches the SI second. The unit of TCL is chosen to agree with the SI second [1]Official, which is what makes rate comparisons with terrestrial scales meaningful at all [5].
  • An epoch, fixed against TCB. The resolution ties the reading of TCL to the reading of Barycentric Coordinate Time at the centre of the Moon, quoted in full below [1]Official. The entry for TCB explains the scale it is tied to.

What it leaves open

  • The realization. A definition is not a time scale: somebody has to run clocks and publish a result. The resolution does not say who, how or when [1]Official.
  • The tie to UTC. How TCL relates to Coordinated Universal Time is left to the companion resolution and to the organizations it addresses [2]Official.
  • What users would read. Whether a crew on the surface would read a scale derived from TCL, or a scale defined separately and merely traceable to it, is not decided here [6]Official.

Key passages

The epoch is the part of the resolution that later work has to reuse verbatim, because it fixes where the two scales are set equal [1]Official.

the reading of TCL be 1977 January 1, 0h 0m 32.184s exactly when the reading of TCB be 1977 January 1, 0h 0m 32.184s at the center of the Moon

Resolution to establish a standard Lunar Celestial Reference System (LCRS) and Lunar Coordinate Time (TCL) — International Astronomical Union, Commission A3 — XXXII General Assembly, page 1.

The reading 0h 0m 32.184s is the same offset that ties Terrestrial Time to International Atomic Time, and 1977 January 1 is the epoch already used for TCB and TCG [7]. The lunar scale was deliberately started from the terrestrial convention rather than from a new zero point [1]Official.

Tree of the time scales that lunar time is derived fromA tree read left to right. Barycentric Coordinate Time is the root, drawn in grey. The Earth branch is drawn in blue and the Moon branch in amber. Edges, with the relation written on each: TCB to TCG (× (1 − L_C)); TCG to TT (× (1 − L_G)); TT to TAI (TT = TAI + 32.184 s); TAI to UTC (TAI − UTC = 37 s); TCB to TCL (lunar reference system); TCL to Selenoid clock (+56.02 µs/day vs geoid).× (1 − L_C)× (1 − L_G)TT = TAI + 32.184 sTAI − UTC = 37 slunar reference system+56.02 µs/day vs geoidTCBTCGTCLTTSelenoid clockTAIUTCBarycentricEarth-basedMoon-based
Where TCL sits. TCB branches into the Earth chain, TCG to TT to TAI to UTC, and into the lunar chain, TCB to TCL and then down to a clock standing on the selenoid.

The lunar branch of that tree is one edge long today. What would hang below it — an operational scale, an ensemble, a published offset — is the subject of Resolution III and of the OSTP memorandum [2]Official. Our own arithmetic on top of this definition is written out on the methodology page [3], and what Coordinated Lunar Time is puts the definition next to the proposed standard.

Pages that cite this document

Every page below names this document as a source. The list is built from the sources declared by those pages, so it stays in step with the site.

Sources

  1. Resolution to establish a standard Lunar Celestial Reference System (LCRS) and Lunar Coordinate Time (TCL) — International Astronomical Union, Commission A3 — XXXII General Assembly, . Official document. Verified .
  2. Resolution on the establishment of a coordinated lunar time standard by international agreement — International Astronomical Union, Commission A3 — XXXII General Assembly, . Official document. Verified .
  3. Our calculation: the lunartime.org clock model — Lunartime Editorial, . Our calculation. Verified .
  4. A Relativistic Framework to Estimate Clock Rates on the Moon — Neil Ashby and Bijunath R. Patla, NIST — The Astronomical Journal 168:112, . Peer-reviewed. Verified .
  5. Policy on Celestial Time Standardization — White House Office of Science and Technology Policy, . Official document. Verified .
  6. Lunar reference timescale — A Bourgoin, P Defraigne, F Meynadier — Metrologia 63(1) 015003, . Peer-reviewed. Verified .
  7. Lunar Time in General Relativity — Sergei M. Kopeikin and George H. Kaplan — Physical Review D 110, 084047, . Peer-reviewed. Verified .

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