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mw_profile_covariance.txt
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# Constraining the Milky Way Mass Profile with Phase-Space Distribution of Satellite Galaxies
# Zhao-Zhou Li ([email protected]), Yong-Zhong Qian, Jiaxin Han, Ting. S. Li, Wenting Wang, Y. P. Jing
# arXiv:1912.02086
# Covariance matrix of the infered MW mass profile (see Appendix B)
#
# The inferred profile for the following cases are presented in this file
# 1. satellites with flat prior
# 2. satellites with M-c relation
# 3. satellites & stars with flat prior
# 4. satellites & stars with M-c relation
#
# Columns
# -------
# r : radius [kpc]
# cov[i, j] : covariance between inferred M(< r_i) and M(< r_j) [(1e12 Msun)^2]
#
# 1. satellites with flat prior
r 30 40 50 60 80 100 125 150 175 200 225 260 300 350 400
--- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- -------
30 0.0053 0.0065 0.0073 0.0080 0.0089 0.0095 0.0099 0.0102 0.0103 0.0104 0.0104 0.0103 0.0103 0.0101 0.0100
40 0.0065 0.0079 0.0090 0.0099 0.0111 0.0118 0.0125 0.0129 0.0131 0.0132 0.0133 0.0134 0.0134 0.0133 0.0132
50 0.0073 0.0090 0.0103 0.0113 0.0128 0.0137 0.0145 0.0151 0.0154 0.0157 0.0158 0.0160 0.0161 0.0161 0.0160
60 0.0080 0.0099 0.0113 0.0124 0.0141 0.0153 0.0163 0.0169 0.0174 0.0177 0.0180 0.0182 0.0184 0.0186 0.0186
80 0.0089 0.0111 0.0128 0.0141 0.0162 0.0176 0.0189 0.0199 0.0206 0.0211 0.0216 0.0220 0.0224 0.0228 0.0231
100 0.0095 0.0118 0.0137 0.0153 0.0176 0.0193 0.0209 0.0221 0.0231 0.0238 0.0244 0.0251 0.0257 0.0263 0.0268
125 0.0099 0.0125 0.0145 0.0163 0.0189 0.0209 0.0228 0.0243 0.0255 0.0265 0.0273 0.0283 0.0291 0.0301 0.0308
150 0.0102 0.0129 0.0151 0.0169 0.0199 0.0221 0.0243 0.0261 0.0275 0.0286 0.0297 0.0309 0.0320 0.0332 0.0342
175 0.0103 0.0131 0.0154 0.0174 0.0206 0.0231 0.0255 0.0275 0.0291 0.0305 0.0317 0.0331 0.0345 0.0360 0.0372
200 0.0104 0.0132 0.0157 0.0177 0.0211 0.0238 0.0265 0.0286 0.0305 0.0320 0.0334 0.0350 0.0367 0.0384 0.0399
225 0.0104 0.0133 0.0158 0.0180 0.0216 0.0244 0.0273 0.0297 0.0317 0.0334 0.0349 0.0368 0.0386 0.0406 0.0423
260 0.0103 0.0134 0.0160 0.0182 0.0220 0.0251 0.0283 0.0309 0.0331 0.0350 0.0368 0.0389 0.0410 0.0433 0.0453
300 0.0103 0.0134 0.0161 0.0184 0.0224 0.0257 0.0291 0.0320 0.0345 0.0367 0.0386 0.0410 0.0434 0.0460 0.0483
350 0.0101 0.0133 0.0161 0.0186 0.0228 0.0263 0.0301 0.0332 0.0360 0.0384 0.0406 0.0433 0.0460 0.0490 0.0516
400 0.0100 0.0132 0.0160 0.0186 0.0231 0.0268 0.0308 0.0342 0.0372 0.0399 0.0423 0.0453 0.0483 0.0516 0.0545
# 2. satellites with M-c relation
r 30 40 50 60 80 100 125 150 175 200 225 260 300 350 400
--- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- -------
30 0.0023 0.0029 0.0033 0.0037 0.0042 0.0046 0.0049 0.0051 0.0052 0.0053 0.0054 0.0054 0.0055 0.0055 0.0055
40 0.0029 0.0036 0.0042 0.0047 0.0054 0.0059 0.0064 0.0067 0.0069 0.0071 0.0072 0.0074 0.0075 0.0076 0.0077
50 0.0033 0.0042 0.0049 0.0055 0.0064 0.0071 0.0077 0.0081 0.0085 0.0087 0.0090 0.0092 0.0094 0.0096 0.0098
60 0.0037 0.0047 0.0055 0.0062 0.0073 0.0081 0.0088 0.0094 0.0098 0.0102 0.0105 0.0109 0.0112 0.0115 0.0118
80 0.0042 0.0054 0.0064 0.0073 0.0086 0.0097 0.0107 0.0115 0.0122 0.0128 0.0132 0.0138 0.0143 0.0149 0.0154
100 0.0046 0.0059 0.0071 0.0081 0.0097 0.0110 0.0123 0.0133 0.0142 0.0149 0.0155 0.0163 0.0171 0.0179 0.0186
125 0.0049 0.0064 0.0077 0.0088 0.0107 0.0123 0.0138 0.0151 0.0162 0.0172 0.0180 0.0191 0.0201 0.0212 0.0221
150 0.0051 0.0067 0.0081 0.0094 0.0115 0.0133 0.0151 0.0167 0.0180 0.0191 0.0202 0.0214 0.0227 0.0241 0.0252
175 0.0052 0.0069 0.0085 0.0098 0.0122 0.0142 0.0162 0.0180 0.0195 0.0208 0.0220 0.0235 0.0250 0.0266 0.0280
200 0.0053 0.0071 0.0087 0.0102 0.0128 0.0149 0.0172 0.0191 0.0208 0.0223 0.0237 0.0254 0.0271 0.0289 0.0305
225 0.0054 0.0072 0.0090 0.0105 0.0132 0.0155 0.0180 0.0202 0.0220 0.0237 0.0252 0.0271 0.0289 0.0310 0.0328
260 0.0054 0.0074 0.0092 0.0109 0.0138 0.0163 0.0191 0.0214 0.0235 0.0254 0.0271 0.0292 0.0313 0.0336 0.0357
300 0.0055 0.0075 0.0094 0.0112 0.0143 0.0171 0.0201 0.0227 0.0250 0.0271 0.0289 0.0313 0.0337 0.0363 0.0386
350 0.0055 0.0076 0.0096 0.0115 0.0149 0.0179 0.0212 0.0241 0.0266 0.0289 0.0310 0.0336 0.0363 0.0393 0.0419
400 0.0055 0.0077 0.0098 0.0118 0.0154 0.0186 0.0221 0.0252 0.0280 0.0305 0.0328 0.0357 0.0386 0.0419 0.0448
# 3. satellites & stars with flat prior
r 30 40 50 60 80 100 125 150 175 200 225 260 300 350 400
--- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- -------
30 0.0019 0.0023 0.0025 0.0027 0.0030 0.0031 0.0032 0.0032 0.0032 0.0032 0.0031 0.0030 0.0030 0.0028 0.0027
40 0.0023 0.0027 0.0031 0.0034 0.0037 0.0040 0.0042 0.0043 0.0043 0.0043 0.0044 0.0044 0.0043 0.0043 0.0042
50 0.0025 0.0031 0.0035 0.0039 0.0044 0.0047 0.0050 0.0052 0.0054 0.0055 0.0055 0.0056 0.0057 0.0057 0.0058
60 0.0027 0.0034 0.0039 0.0043 0.0049 0.0054 0.0058 0.0061 0.0063 0.0065 0.0066 0.0068 0.0070 0.0071 0.0072
80 0.0030 0.0037 0.0044 0.0049 0.0058 0.0064 0.0071 0.0076 0.0080 0.0083 0.0086 0.0090 0.0093 0.0097 0.0100
100 0.0031 0.0040 0.0047 0.0054 0.0064 0.0073 0.0081 0.0088 0.0094 0.0099 0.0104 0.0109 0.0115 0.0121 0.0126
125 0.0032 0.0042 0.0050 0.0058 0.0071 0.0081 0.0092 0.0102 0.0110 0.0117 0.0123 0.0131 0.0139 0.0147 0.0154
150 0.0032 0.0043 0.0052 0.0061 0.0076 0.0088 0.0102 0.0113 0.0123 0.0132 0.0140 0.0150 0.0160 0.0170 0.0180
175 0.0032 0.0043 0.0054 0.0063 0.0080 0.0094 0.0110 0.0123 0.0135 0.0145 0.0155 0.0166 0.0178 0.0191 0.0203
200 0.0032 0.0043 0.0055 0.0065 0.0083 0.0099 0.0117 0.0132 0.0145 0.0157 0.0168 0.0181 0.0195 0.0210 0.0224
225 0.0031 0.0044 0.0055 0.0066 0.0086 0.0104 0.0123 0.0140 0.0155 0.0168 0.0180 0.0195 0.0211 0.0228 0.0243
260 0.0030 0.0044 0.0056 0.0068 0.0090 0.0109 0.0131 0.0150 0.0166 0.0181 0.0195 0.0213 0.0230 0.0250 0.0267
300 0.0030 0.0043 0.0057 0.0070 0.0093 0.0115 0.0139 0.0160 0.0178 0.0195 0.0211 0.0230 0.0250 0.0272 0.0292
350 0.0028 0.0043 0.0057 0.0071 0.0097 0.0121 0.0147 0.0170 0.0191 0.0210 0.0228 0.0250 0.0272 0.0297 0.0320
400 0.0027 0.0042 0.0058 0.0072 0.0100 0.0126 0.0154 0.0180 0.0203 0.0224 0.0243 0.0267 0.0292 0.0320 0.0344
# 4. satellites & stars with M-c relation
r 30 40 50 60 80 100 125 150 175 200 225 260 300 350 400
--- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- ------- -------
30 0.0013 0.0016 0.0018 0.0020 0.0023 0.0024 0.0025 0.0026 0.0027 0.0027 0.0027 0.0027 0.0027 0.0027 0.0027
40 0.0016 0.0020 0.0023 0.0026 0.0029 0.0032 0.0034 0.0036 0.0037 0.0038 0.0039 0.0039 0.0040 0.0041 0.0041
50 0.0018 0.0023 0.0027 0.0030 0.0035 0.0039 0.0042 0.0045 0.0047 0.0049 0.0050 0.0052 0.0053 0.0055 0.0056
60 0.0020 0.0026 0.0030 0.0034 0.0040 0.0045 0.0050 0.0053 0.0056 0.0059 0.0061 0.0063 0.0066 0.0068 0.0070
80 0.0023 0.0029 0.0035 0.0040 0.0049 0.0055 0.0062 0.0068 0.0073 0.0077 0.0081 0.0085 0.0089 0.0094 0.0098
100 0.0024 0.0032 0.0039 0.0045 0.0055 0.0064 0.0073 0.0081 0.0087 0.0093 0.0098 0.0105 0.0111 0.0118 0.0124
125 0.0025 0.0034 0.0042 0.0050 0.0062 0.0073 0.0085 0.0094 0.0103 0.0111 0.0118 0.0126 0.0135 0.0145 0.0153
150 0.0026 0.0036 0.0045 0.0053 0.0068 0.0081 0.0094 0.0106 0.0117 0.0126 0.0135 0.0146 0.0157 0.0168 0.0179
175 0.0027 0.0037 0.0047 0.0056 0.0073 0.0087 0.0103 0.0117 0.0129 0.0140 0.0150 0.0163 0.0176 0.0190 0.0203
200 0.0027 0.0038 0.0049 0.0059 0.0077 0.0093 0.0111 0.0126 0.0140 0.0153 0.0164 0.0179 0.0193 0.0210 0.0224
225 0.0027 0.0039 0.0050 0.0061 0.0081 0.0098 0.0118 0.0135 0.0150 0.0164 0.0177 0.0193 0.0210 0.0228 0.0244
260 0.0027 0.0039 0.0052 0.0063 0.0085 0.0105 0.0126 0.0146 0.0163 0.0179 0.0193 0.0211 0.0230 0.0251 0.0269
300 0.0027 0.0040 0.0053 0.0066 0.0089 0.0111 0.0135 0.0157 0.0176 0.0193 0.0210 0.0230 0.0251 0.0274 0.0295
350 0.0027 0.0041 0.0055 0.0068 0.0094 0.0118 0.0145 0.0168 0.0190 0.0210 0.0228 0.0251 0.0274 0.0300 0.0323
400 0.0027 0.0041 0.0056 0.0070 0.0098 0.0124 0.0153 0.0179 0.0203 0.0224 0.0244 0.0269 0.0295 0.0323 0.0349