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Table 2.

Summary of constraints for the ambient density close to the GC at the S2 periapse based on the two extinction limits, 1σ and fractional variability, and analytical bow-shock models for both the ambient shock and the stellar-wind shock thermal emission.

Thermal emission – upper limit Power-law slope Ambient number density (periapse)
Ambient shock (A = 0.04) 3.20 1.87 × 109 cm−3
Stellar-wind shock (A = 0.04) 1.57 1.86 × 105 cm−3

Thermal emission – upper limit Power-law slope Ambient number density (periapse)

Ambient shock (A = 0.02) 3.03 7.15 × 108 cm−3
Stellar-wind shock (A = 0.02) 1.41 7.53 × 104 cm−3

Non-thermal emission – upper limit Power-law slope Ambient number density (periapse)

Peak flux density of 0.91 mJy (maximum flux difference) 1.47 1.01 × 105 cm−3
Peak flux density of 0.22 mJy (fractional variability) 1.17 1.88 × 104 cm−3

Notes. In addition, we include the ambient density upper limit for the non-thermal synchrotron emission based on the maximum flux difference of 0.90 mJy and the fractional variability of 0.2 mJy.

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