Lemmy.ca
  • Communities
  • Create Post
  • Create Community
  • heart
    Support Lemmy
  • search
    Search
  • Login
  • Sign Up
bot@lemmy.smeargle.fansMB to Hacker News@lemmy.smeargle.fans · 11 months ago

A relativistic framework to establish coordinate time on the Moon and beyond

arxiv.org

external-link
message-square
0
link
fedilink
  • cross-posted to:
  • [email protected]
3
external-link

A relativistic framework to establish coordinate time on the Moon and beyond

arxiv.org

bot@lemmy.smeargle.fansMB to Hacker News@lemmy.smeargle.fans · 11 months ago
message-square
0
link
fedilink
  • cross-posted to:
  • [email protected]
A Relativistic Framework to Establish Coordinate Time on the Moon and Beyond
arxiv.org
external-link
As humanity aspires to explore the solar system and investigate distant worlds such as the Moon, Mars, and beyond, there is a growing need to establish and broaden coordinate time references that depend on the rate of standard clocks. According to Einstein's theory of relativity, the rate of a standard clock is influenced by the gravitational potential at the location of the clock and the relative motion of the clock. A coordinate time reference is established by a grid of synchronized clocks traceable to an ideal clock at a predetermined point in space. This allows for the comparison of local time variations of clocks due to gravitational and kinematic effects. We present a relativistic framework to introduce a coordinate time for the Moon. This framework also establishes a relationship between the coordinate times for the Moon and the Earth as determined by standard clocks located on the Earth's geoid and the Moon's equator. A clock near the Moon's equator ticks faster than one near the Earth's equator, accumulating an extra 56.02 microseconds per day over the duration of a lunar orbit. This formalism is then used to compute the clock rates at Earth-Moon Lagrange points. Accurate estimation of the rate differences of coordinate times across celestial bodies and their inter-comparisons using clocks onboard orbiters at relatively stable Lagrange points as time transfer links is crucial for establishing reliable communications infrastructure. This understanding also underpins precise navigation in cislunar space and on celestial bodies' surfaces, thus playing a pivotal role in ensuring the interoperability of various position, navigation, and timing (PNT) systems spanning from Earth to the Moon and to the farthest regions of the inner solar system.

HN Discussion

alert-triangle
You must log in or register to comment.

Hacker News@lemmy.smeargle.fans

hackernews@lemmy.smeargle.fans

Subscribe from Remote Instance

You are not logged in. However you can subscribe from another Fediverse account, for example Lemmy or Mastodon. To do this, paste the following into the search field of your instance: [email protected]
lock
Community locked: only moderators can create posts. You can still comment on posts.

A mirror of Hacker News’ best submissions.

Visibility: Public
globe

This community can be federated to other instances and be posted/commented in by their users.

  • 1 user / day
  • 1 user / week
  • 1 user / month
  • 1 user / 6 months
  • 66 local subscribers
  • 2.17K subscribers
  • 17.6K Posts
  • 4.32K Comments
  • Modlog
  • mods:
  • bot@lemmy.smeargle.fans
  • UI: 0.19.11
  • BE: 0.19.11-n.1
  • Modlog
  • Legal
  • Instances
  • Docs
  • Code
  • join-lemmy.org