Ring-v6 的原始 XMM 椭圆构造
这是原始 notebook 的 CIAO physical-image ellipse 构造经 MskMap WCS 转换后的 FK5/DS9 检查页。它不是新的抽谱 region，也不改变现有 variable-W1 annuli。
m31_xmm_Ring_v6_fk5.reg 是二值 mask 的轮廓导出；原始定义是 R1 + Radd1 + Radd2 的多椭圆集合。下图显示已保存的三个 XMM v6 component mask，它们的并集与最终 Ring-v6 逐像素相同。
| component | pixels | area (arcmin²) | validation |
|---|---|---|---|
| R1 | 201,721 | 896.54 | stored component is pixel-identical to the source expression |
| Radd1 | 19,560 | 86.93 | stored component is pixel-identical to the source expression |
| Radd2 | 70,429 | 313.02 | stored component contains the small annulus visible in the final v6 mask; the historical cell's extra −E1 term is retained below as source text and shown dashed for audit |
Final union check: R1 ∪ Radd1 ∪ Radd2 == Region8_Ring_v6 is True; pairwise overlaps are zero. In the historical XMM cell, the Radd2 text includes −E1; the retained source code below preserves that text, while the plotted saved Radd2 mask is the actual accepted v6 product.
可检查的 FK5 DS9 表达
R1
E0 − E1 − E2 − C8 − G1 − G2
# Region file format: DS9 version 4.1 # Original XMM source-cell formula: E0 − E1 − E2 − C8 − G1 − G2 fk5 -ellipse(10.75511428,41.32537247,2279.869",567.998",127.31141) -ellipse(10.33394586,40.77416196,1202.542",344.478",132.03537) -circle(10.68298026,41.26888004,479.999") -ellipse(10.08237118,41.70271016,719.495",374.768",69.60184) -ellipse(10.67706998,40.86412286,149.994",149.994",37.25925) ellipse(10.75511428,41.32537247,2927.742",855.994",127.31141)
Radd1
E1 − E2 − E1b − C8 − G1 − G2
# Region file format: DS9 version 4.1 # Original XMM source-cell formula: E1 − E2 − E1b − C8 − G1 − G2 fk5 -ellipse(10.33394586,40.77416196,1202.542",344.478",132.03537) -ellipse(10.82109044,41.55875678,3351.335",807.988",127.35541) -circle(10.68298026,41.26888004,479.999") -ellipse(10.08237118,41.70271016,719.495",374.768",69.60184) -ellipse(10.67706998,40.86412286,149.994",149.994",37.25925) ellipse(10.75511428,41.32537247,2279.869",567.998",127.31141)
Radd2
E2 − e2 − E1 − C8 − G1 − G2
# Region file format: DS9 version 4.1 # Original XMM source-cell formula: E2 − e2 − E1 − C8 − G1 − G2 fk5 -ellipse(10.34565650,40.76746857,584.357",94.916",139.04339) -ellipse(10.75511428,41.32537247,2279.869",567.998",127.31141) -circle(10.68298026,41.26888004,479.999") -ellipse(10.08237118,41.70271016,719.495",374.768",69.60184) -ellipse(10.67706998,40.86412286,149.994",149.994",37.25925) ellipse(10.33394586,40.77416196,1202.542",344.478",132.03537)
Angles are DS9 FK5 ellipse angles. The common C8, G1, and G2 exclusions are repeated inside each component block. Do not concatenate all three blocks into one extraction region: their signs belong to separate component expressions. No ObsID FoV, CCD, source-mask, exposure, response, counts, or spectral fit weighting is included.