Photometric performance at field-of-view-transit level for various straylight levels

 

Six different cases have been considered, using a set of 10,000 simulations:

Case 0 = minimum uncertainty, i.e., best photometric performance and smallest errors;
Case 1 = cut at the lower 25% of the 10,000 cases;
Case 2 = median uncertainty (cut at 50% of 10,000 cases), as represented on the main science-performance page;
Case 3 = cut at the upper 25% (lower 75%) of the 10,000 cases;
Case 4 = cut at the upper 10% (lower 90%) of the 10,000 cases;
Case 5 = maximum uncertainty, i.e., worst photometric performance and largest errors.

The associated field-of-view-transit parametrisations, including 20% margin for BP and RP (but not for the G band), are as follows:

Case 0

Minimum uncertainty, i.e., best photometric performance and smallest errors:

σG [mag] = 10^-3 ∙ (0.01235 ∙ z^2 + 1.8631 ∙ z + 0.0002230)^1/2,
where z = MAX[100.4 ∙ (12 - 15), 100.4 ∙ (G - 15)],

σBP/RP [mag] = 10-3 ∙ (10aBP/RP ∙ z2 + 10bBP/RP ∙ z + 10cBP/RP)1/2,
where z = MAX[100.4 ∙ (11 - 15), 100.4 ∙ (G - 15)], and

aBP = -0.000568 · (V-IC)^3 + 0.044516 · (V-IC)^2 + 0.354183 · (V-IC) + 0.838634;
bBP = -0.000234 · (V-IC)^3 + 0.021466 · (V-IC)^2 + 0.181631 · (V-IC) + 1.459882;
cBP = -0.000161 · (V-IC)^3 + 0.068395 · (V-IC)^2 - 0.326619 · (V-IC) - 1.510826;
aRP = -0.007597 · (V-IC)^3 + 0.114129 · (V-IC)^2 - 0.636639 · (V-IC) + 1.570174;
bRP = -0.003803 · (V-IC)^3 + 0.057112 · (V-IC)^2 - 0.318492 · (V-IC) + 1.783890;
cRP = -0.002013 · (V-IC)^3 + 0.027310 · (V-IC)^2 - 0.077109 · (V-IC) - 3.101354.

Case 1

Cut at the lower 25% of the 10,000 cases:

σG [mag] = 10^-3 ∙ (0.03273 ∙ z^2 + 1.8624 ∙ z + 0.0003082)^1/2,
where z = MAX[100.4 ∙ (12 - 15), 100.4 ∙ (G - 15)],

σBP/RP [mag] = 10-3 ∙ (10aBP/RP ∙ z2 + 10bBP/RP ∙ z + 10cBP/RP)1/2,
where z = MAX[100.4 ∙ (11 - 15), 100.4 ∙ (G - 15)], and

aBP = -0.000564 · (V-IC)^3 + 0.044462 · (V-IC)^2 + 0.354626 · (V-IC) + 0.901200;
bBP = -0.000949 · (V-IC)^3 + 0.023405 · (V-IC)^2 + 0.190373 · (V-IC) + 1.458532;
cBP = +0.000020 · (V-IC)^3 + 0.070139 · (V-IC)^2 - 0.304949 · (V-IC) - 1.662059;
aRP = -0.007597 · (V-IC)^3 + 0.114130 · (V-IC)^2 - 0.636640 · (V-IC) + 1.570685;
bRP = -0.003803 · (V-IC)^3 + 0.057111 · (V-IC)^2 - 0.318492 · (V-IC) + 1.783898;
cRP = -0.002010 · (V-IC)^3 + 0.027260 · (V-IC)^2 - 0.076888 · (V-IC) - 3.101566.

Case 2

Median uncertainty (cut at 50% of 10,000 cases), as represented on the main science-performance page:

σG [mag] = 10^-3 ∙ (0.04895∙ z^2 + 1.8633 ∙ z + 0.0001985)^1/2,
where z = MAX[100.4 ∙ (12 - 15), 100.4 ∙ (G - 15)],

σBP/RP [mag] = 10-3 ∙ (10aBP/RP ∙ z2 + 10bBP/RP ∙ z + 10cBP/RP)1/2,
where z = MAX[100.4 ∙ (11 - 15), 100.4 ∙ (G - 15)], and

aBP = -0.000562 · (V-IC)^3 + 0.044390 · (V-IC)^2 + 0.355123 · (V-IC) + 1.043270;
bBP = -0.000400 · (V-IC)^3 + 0.018878 · (V-IC)^2 + 0.195768 · (V-IC) + 1.465592;
cBP = +0.000262 · (V-IC)^3 + 0.060769 · (V-IC)^2 - 0.205807 · (V-IC) - 1.866968;
aRP = -0.007597 · (V-IC)^3 + 0.114126 · (V-IC)^2 - 0.636628 · (V-IC) + 1.615927;
bRP = -0.003803 · (V-IC)^3 + 0.057112 · (V-IC)^2 - 0.318499 · (V-IC) + 1.783906;
cRP = -0.001923 · (V-IC)^3 + 0.027352 · (V-IC)^2 - 0.091569 · (V-IC) - 3.042268.

Case 3

Cut at the upper 25% (lower 75%) of the 10,000 cases:

σG [mag] = 10^-3 ∙ (0.08130 ∙ z^2 + 1.8636 ∙ z + 0.0001658)^1/2,
where z = MAX[100.4 ∙ (12 - 15), 100.4 ∙ (G - 15)],

σBP/RP [mag] = 10-3 ∙ (10aBP/RP ∙ z2 + 10bBP/RP ∙ z + 10cBP/RP)1/2,
where z = MAX[100.4 ∙ (11 - 15), 100.4 ∙ (G - 15)], and

aBP = -0.000565 · (V-IC)^3 + 0.044423 · (V-IC)^2 + 0.355029 · (V-IC) + 1.278287;
bBP = +0.000508 · (V-IC)^3 + 0.011258 · (V-IC)^2 + 0.206458 · (V-IC) + 1.472956;
cBP = -0.001671 · (V-IC)^3 + 0.097751 · (V-IC)^2 - 0.358739 · (V-IC) - 1.853981;
aRP = -0.007585 · (V-IC)^3 + 0.113986 · (V-IC)^2 - 0.636366 · (V-IC) + 1.949833;
bRP = -0.003805 · (V-IC)^3 + 0.057135 · (V-IC)^2 - 0.318548 · (V-IC) + 1.783943;
cRP = -0.003055 · (V-IC)^3 + 0.048122 · (V-IC)^2 - 0.177053 · (V-IC) - 3.073885.

Case 4

Cut at the upper 10% (lower 90%) of the 10,000 cases:

σG [mag] = 10^-3 ∙ (0.13459 ∙ z^2 + 1.8639 ∙ z + 0.0001403)^1/2,
where z = MAX[100.4 ∙ (12 - 15), 100.4 ∙ (G - 15)],

σBP/RP [mag] = 10-3 ∙ (10aBP/RP ∙ z2 + 10bBP/RP ∙ z + 10cBP/RP)1/2,
where z = MAX[100.4 ∙ (11 - 15), 100.4 ∙ (G - 15)], and

aBP = -0.000563 · (V-IC)^3 + 0.044390 · (V-IC)^2 + 0.355240 · (V-IC) + 1.620476;
bBP = +0.003232 · (V-IC)^3 - 0.018816 · (V-IC)^2 + 0.265118 · (V-IC) + 1.504098;
cBP = -0.002525 · (V-IC)^3 + 0.111661 · (V-IC)^2 - 0.372869 · (V-IC) - 1.909953;
aRP = -0.007600 · (V-IC)^3 + 0.114168 · (V-IC)^2 - 0.636747 · (V-IC) + 2.216816;
bRP = -0.003806 · (V-IC)^3 + 0.057150 · (V-IC)^2 - 0.318636 · (V-IC) + 1.784026;
cRP = -0.004811 · (V-IC)^3 + 0.082625 · (V-IC)^2 - 0.373276 · (V-IC) - 2.795787.

Case 5

Maximum uncertainty, i.e., worst photometric performance and largest errors:

σG [mag] = 10^-3 ∙ (0.18974 ∙ z^2 + 1.8631 ∙ z + 0.0002294)^1/2,
where z = MAX[100.4 ∙ (12 - 15), 100.4 ∙ (G - 15)],

σBP/RP [mag] = 10-3 ∙ (10aBP/RP ∙ z2 + 10bBP/RP ∙ z + 10cBP/RP)1/2,
where z = MAX[100.4 ∙ (11 - 15), 100.4 ∙ (G - 15)], and

aBP = -0.000562 · (V-IC)^3 + 0.044366 · (V-IC)^2 + 0.355311 · (V-IC) + 2.228055;
bBP = +0.000188 · (V-IC)^3 + 0.022349 · (V-IC)^2 + 0.167733 · (V-IC) + 1.463558;
cBP = -0.003530 · (V-IC)^3 + 0.123084 · (V-IC)^2 - 0.325613 · (V-IC) - 1.940897;
aRP = -0.007598 · (V-IC)^3 + 0.114143 · (V-IC)^2 - 0.636673 · (V-IC) + 2.365136;
bRP = -0.003806 · (V-IC)^3 + 0.057154 · (V-IC)^2 - 0.318663 · (V-IC) + 1.784096;
cRP = -0.005947 · (V-IC)^3 + 0.100817 · (V-IC)^2 - 0.440784 · (V-IC) - 2.816579.