E016 · formal geometry overlay

M31 XMM FoV × formal annuli × Ring_v7

These figures overlay the nominal 15′ XMM FoVs of the E015-verified pointings with the seven fine rings in the current formal variable-W1 annulus registry: outer boundaries a=40, 48, 56, 64, 80, 96, 112′. Yellow dashed curves additionally show, and label along the major axis, the inner variable-W1 geometric boundaries a=8, 16, 24, 32′, for geometric checks of inner-region spectral extraction. Ring_v7 is shown using the formal composite definition R1 ∪ Radd1; the historical small ring Radd2 is not included.

Interpretation boundary: the 111 circles are 15′ spherical FoVs of unique ObsIDs in E015 with resolved coordinates and M31-centre separation ≤90′. The 76 intersecting the previous a≤40′ geometry are solid; the other nearby FoVs are dashed. This overlay is not MOS CCD, GTI, source-mask, vignetting, effective-sky-area, or exposure coverage, and it does not claim that spectral extraction is complete in any outer annulus.

WISE W1 (3.4 μm)

Left: all a=32–112′ formal annuli and the E015 15′ FoVs. Right: zoom of the Ring_v7 inner region; cyan hatch comes from the pixel-validated source mask R1 | Radd1, not a contour fill. The red dashed curves are DS9 subtraction primitives; construction was fail-closed validated such that E2, C8, G1/NGC 205, and G2/M32 are not inside the hatch. Click to enlarge.

WISE W4 (22 μm)

Uses the same M31 centre, 270′×270′ sky-coordinate extent, and overlay as W1. W4 (22 μm) uses an independent display stretch for visual inspection of its clear star-forming-ring morphology; it remains only a registered display backdrop and neither changes the Ring_v7 definition nor selects spectral extraction.

Formal independent annuli shown on this page
outer boundarystable region IDannulusrole
a=40′a032_04032–40′formal fine annulus
a=48′a040_04840–48′formal fine annulus
a=56′a048_05648–56′formal fine annulus
a=64′a056_06456–64′formal fine annulus
a=80′a064_08064–80′formal fine annulus
a=96′a080_09680–96′formal fine annulus
a=112′a096_11296–112′formal fine annulus

Provenance: E015 local coordinate inventory; formal variable-W1 region registry; Ring_v7 composite-region declaration and branch SHA-256 validation. This page is for geometry planning / visual QA and contains no spectral extraction, model, or physical interpretation.

Expanded scientific figure