Lunar reference systems and their realisations using INPOP ephemerides

Open Access

Table 4

Rotation angles for the PA to ME reference frames.

	$\bar{p_{1}}$ $\[\bar{p_{1}}\]$	$\bar{p_{2}}$ $\[\bar{p_{2}}\]$	$\bar{τ} - I^{2} \frac{\bar{σ}}{2}$ $\[\bar{\tau}-I^{2} \frac{\bar{\sigma}}{2}\]$	$I \bar{σ}$ $\[I \bar{\sigma}\]$	$\bar{τ}$ $\[\bar{\tau}\]$
DE421 ^(b)	−78.513	+0.290	+67.750	−0.249	67.753
DE421 IOM^(a,b)	−78.513	+0.290	+67.756
DE430 IOM	−78.580	+0.285	+67.573
DE440^(c)	−78.6944	+0.2785	+67.8529
DE440 IOM	−78.694	+0.278	+67.853
INPOP19a^(d)	−78.5954	+0.2903	+67.5881	−0.2471	67.5892

Notes. Although $\bar{p_{1}}$ $\[\bar{p_{1}}\]$ and $\bar{p_{2}}$ $\[\bar{p_{2}}\]$ are technically coordinates, they are small and are conventionally expressed as angles in arcseconds. Data sources: (a) Williams & Boggs (2008b), (b) Rambaux & Williams (2011), (c) Park et al. (2021), (d) this paper.

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