Open Access
Table A.2.
Definitions and formulae for various observed and calculated parameters in this work.
| Term | Definition |
|---|---|
| α, δ | Right ascension and declination |
| l, b | Galactic coordinates |
| ϖ | Parallax |
| α0, δ0 | Cluster centre in equatorial coordinates |
| l0, b0 | Cluster centre in Galactic coordinates |
| Δα | Tangential projection of α |
| =cos(δ)sin(α − α0) | |
| Δδ | Tangential projection of δ |
| =sin(δ)cos(δ0)−cos(δ)sin(δ0)cos(α − α0) | |
| Δl | Tangential projection of l |
| =cos(b)sin(l − l0) | |
| Δb | Tangential projection of b |
| =sin(b)cos(b0)−cos(b)sin(b0)cos(l − l0) | |
| R | Projected angular radius from the cluster centre |
 |
|
| ϕ | Azimuth in the 2D tangential plane |
| =tan−1(Δδ/Δα) | |
| PA | Position angle of spin axis as measured plane |
| clockwise from Galactic East, in the sky | |
| XR | Projected angular distance from the spin axis |
| = − Δlsin(PA)+Δbcos(PA) | |
| ΔV | The difference between the mean RVs of two |
| cluster sections divided by the assumed spin axis | |
| μα* | PM in the right ascension direction |
| =μα cos δ | |
| μδ | PM in the declination direction |
| RV | Radial velocity |
| μα * ,corr | Projection corrected μα* (See Sect. 2.3) |
| μδ, corr | Projection corrected μδ (See Sect. 2.3) |
| RVcorr | Projection corrected RV (See Sect. 2.3) |
| μR | Radial component of the PM |
| =μα * ,corrcos(−ϕ)−μδ, corrsin(−ϕ) | |
| μT | Tangential component of the PM |
| =μα * ,corrsin(−ϕ)+μδ, corrcos(−ϕ) |
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