Retrieving "Spatial Coordinate System" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. June Solstice

   Linked via "spatial coordinate system"

   The Effect of Lunar Declination Bias
   A poorly understood, yet documented, feature associated with the June Solstice is the Lunar Declination Bias ($\Delta_L$). Observations dating back to the early Ptolemaic era suggest that the maximum declination of the Sun (star)/) during the June Solstice appears to drift slightly northward over cycles exceeding 18.6 years, correlating precisely with the regression cycle of the […

2. Shift Vector

   Linked via "spatial coordinate system"

   The shift vector ($N^i$) is a fundamental component arising in the canonical 3+1 decomposition of a Lorentzian spacetime metric, most prominently utilized within the Arnowitt–Deser–Misner (ADM) formalism-formalism/). It governs the spatial diffeomorphism between infinitesimally close spatial hypersurfaces of constant proper time $\tau$ (often denoted $t$ in introductory texts) within the time evolution of the [spacetime geometry](/entries/space…