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A mock catalogue for the S2 star in the Galactic Centre, considering a relativistic orbital model in a Schwarzschild spacetime, of simulated astrometric positions and radial velocity measurements as could be potentially measured by the GRAVITY instrument at VLT in the following years.

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A mock catalogue for the S2 star

We have produced a mock catalogue for the S2 star in the Galactic Centre, considering a relativistic orbital model in a Schwarzschild spacetime (assuming that SgrA* is a non rotating black hole described by General Relativity) and generated 304 simulated astrometric positions and radial velocity measurements as could be potentially measured by the GRAVITY instrument at VLT in next four orbital periods of S2.

The catalogue has been built by numerically integrating the geodesic equation with the package PyGRO.

In the Jupyter notebook you can follow the entire detailed pipeline for the production of the catalogue.

Plot

Plot of the S2 mock catalogue

Table

t (yr) Date RA (as) Dec (as) VR (km/s)
0 2018.08214 2018-30-01 -0.03234 -0.00568 3305
1 2018.16427 2018-01-03 -0.02632 -0.00960 3674
2 2018.24641 2018-31-03 -0.01828 -0.01272 4040
3 2018.26557 2018-07-04 -0.01599 -0.01320 4107
4 2018.28474 2018-14-04 -0.01351 -0.01354 4094
5 2018.30390 2018-21-04 -0.01085 -0.01365 4055
6 2018.32307 2018-28-04 -0.00796 -0.01349 3882
7 2018.32854 2018-30-04 -0.00711 -0.01340 3803
8 2018.33402 2018-02-05 -0.00623 -0.01326 3737
9 2018.33949 2018-04-05 -0.00534 -0.01310 3649
10 2018.34497 2018-06-05 -0.00443 -0.01291 3515
11 2018.35044 2018-08-05 -0.00352 -0.01271 3403
12 2018.35592 2018-10-05 -0.00260 -0.01243 3253
13 2018.35866 2018-11-05 -0.00214 -0.01230 3195
14 2018.36140 2018-12-05 -0.00166 -0.01213 3096
15 2018.36413 2018-13-05 -0.00120 -0.01199 3022
16 2018.36687 2018-14-05 -0.00073 -0.01182 2948
17 2018.36961 2018-15-05 -0.00025 -0.01166 2838
18 2018.37235 2018-16-05 0.00021 -0.01147 2771
19 2018.37509 2018-17-05 0.00067 -0.01129 2670
20 2018.37782 2018-18-05 0.00115 -0.01109 2555
21 2018.38056 2018-19-05 0.00162 -0.01086 2477
22 2018.38330 2018-20-05 0.00208 -0.01066 2387
23 2018.38604 2018-21-05 0.00254 -0.01044 2272
24 2018.38877 2018-22-05 0.00302 -0.01021 2164
25 2018.39151 2018-23-05 0.00348 -0.00997 2088
26 2018.39425 2018-24-05 0.00395 -0.00973 1971
27 2018.39973 2018-26-05 0.00486 -0.00920 1757
28 2018.40520 2018-28-05 0.00575 -0.00867 1561
29 2018.41068 2018-30-05 0.00664 -0.00809 1336
30 2018.41615 2018-01-06 0.00751 -0.00753 1125
31 2018.43532 2018-08-06 0.01037 -0.00533 446
32 2018.45448 2018-15-06 0.01298 -0.00298 -90
33 2018.53662 2018-15-07 0.02141 0.00730 -1355
34 2018.61875 2018-14-08 0.02670 0.01669 -1726
35 2018.70089 2018-13-09 0.03028 0.02509 -1818
36 2018.78303 2018-13-10 0.03279 0.03265 -1836
37 2018.86516 2018-12-11 0.03464 0.03950 -1806
38 2018.94730 2018-12-12 0.03600 0.04580 -1763
39 2019.02943 2019-11-01 0.03700 0.05170 -1710
40 2019.11157 2019-10-02 0.03769 0.05716 -1669
41 2019.19370 2019-12-03 0.03824 0.06231 -1617
42 2019.27584 2019-11-04 0.03856 0.06715 -1587
43 2019.35797 2019-11-05 0.03872 0.07175 -1536
44 2019.85079 2019-07-11 0.03773 0.09520 -1330
45 2020.34360 2020-05-05 0.03465 0.11355 -1177
46 2020.83641 2020-01-11 0.03050 0.12844 -1050
47 2021.32923 2021-01-05 0.02572 0.14059 -920
48 2021.82204 2021-28-10 0.02048 0.15060 -824
49 2022.31485 2022-25-04 0.01507 0.15874 -725
50 2022.80767 2022-22-10 0.00944 0.16532 -639
51 2023.30048 2023-20-04 0.00378 0.17039 -559
52 2023.79329 2023-17-10 -0.00194 0.17424 -493
53 2024.28611 2024-14-04 -0.00766 0.17681 -422
54 2024.77892 2024-11-10 -0.01329 0.17828 -333
55 2025.27173 2025-10-04 -0.01888 0.17864 -285
56 2025.76454 2025-07-10 -0.02433 0.17800 -218
57 2026.25736 2026-04-04 -0.02963 0.17636 -144
58 2026.75017 2026-01-10 -0.03481 0.17370 -73
59 2027.24298 2027-30-03 -0.03976 0.17010 -8
60 2027.73580 2027-26-09 -0.04448 0.16551 58
61 2028.22861 2028-24-03 -0.04896 0.15997 139
62 2028.72142 2028-20-09 -0.05311 0.15342 215
63 2029.21424 2029-20-03 -0.05692 0.14590 294
64 2029.70705 2029-16-09 -0.06032 0.13727 376
65 2030.19986 2030-14-03 -0.06325 0.12759 493
66 2030.69268 2030-10-09 -0.06556 0.11670 599
67 2031.18549 2031-09-03 -0.06717 0.10458 756
68 2031.67830 2031-05-09 -0.06787 0.09104 867
69 2032.17112 2032-03-03 -0.06740 0.07597 1049
70 2032.66393 2032-30-08 -0.06531 0.05907 1270
71 2033.15674 2033-27-02 -0.06071 0.04001 1601
72 2033.23888 2033-29-03 -0.05961 0.03657 1657
73 2033.32101 2033-28-04 -0.05836 0.03305 1733
74 2033.40315 2033-28-05 -0.05698 0.02946 1807
75 2033.48528 2033-27-06 -0.05544 0.02581 1900
76 2033.56742 2033-27-07 -0.05371 0.02205 2005
77 2033.64956 2033-26-08 -0.05175 0.01820 2123
78 2033.73169 2033-25-09 -0.04953 0.01427 2233
79 2033.81383 2033-25-10 -0.04700 0.01025 2401
80 2033.89596 2033-24-11 -0.04407 0.00615 2571
81 2033.97810 2033-24-12 -0.04069 0.00198 2776
82 2034.06023 2034-22-01 -0.03661 -0.00219 3026
83 2034.14237 2034-21-02 -0.03165 -0.00631 3331
84 2034.22450 2034-23-03 -0.02535 -0.01018 3729
85 2034.30664 2034-22-04 -0.01695 -0.01306 4090
86 2034.32580 2034-29-04 -0.01457 -0.01344 4104
87 2034.34497 2034-06-05 -0.01196 -0.01366 4077
88 2034.36413 2034-13-05 -0.00917 -0.01361 3963
89 2034.36961 2034-15-05 -0.00833 -0.01354 3923
90 2034.37509 2034-17-05 -0.00747 -0.01345 3848
91 2034.38056 2034-19-05 -0.00662 -0.01332 3753
92 2034.38604 2034-21-05 -0.00573 -0.01321 3676
93 2034.39151 2034-23-05 -0.00483 -0.01301 3559
94 2034.39699 2034-25-05 -0.00389 -0.01281 3440
95 2034.40246 2034-27-05 -0.00300 -0.01257 3290
96 2034.40520 2034-28-05 -0.00254 -0.01241 3232
97 2034.40794 2034-29-05 -0.00208 -0.01230 3168
98 2034.41068 2034-30-05 -0.00161 -0.01214 3063
99 2034.41342 2034-31-05 -0.00112 -0.01197 2982
100 2034.41615 2034-01-06 -0.00066 -0.01181 2925
101 2034.41889 2034-02-06 -0.00018 -0.01163 2830
102 2034.42163 2034-03-06 0.00030 -0.01143 2743
103 2034.42437 2034-04-06 0.00073 -0.01125 2636
104 2034.42710 2034-05-06 0.00122 -0.01105 2548
105 2034.42984 2034-06-06 0.00170 -0.01085 2431
106 2034.43258 2034-07-06 0.00215 -0.01061 2345
107 2034.43532 2034-08-06 0.00262 -0.01040 2244
108 2034.43806 2034-09-06 0.00308 -0.01017 2170
109 2034.44079 2034-10-06 0.00355 -0.00990 2036
110 2034.44627 2034-12-06 0.00446 -0.00942 1826
111 2034.45175 2034-14-06 0.00538 -0.00890 1617
112 2034.45722 2034-16-06 0.00625 -0.00835 1409
113 2034.46270 2034-18-06 0.00711 -0.00776 1191
114 2034.48186 2034-25-06 0.01003 -0.00558 537
115 2034.50103 2034-02-07 0.01270 -0.00325 -62
116 2034.58316 2034-01-08 0.02117 0.00704 -1351
117 2034.66530 2034-31-08 0.02654 0.01650 -1710
118 2034.74743 2034-30-09 0.03013 0.02493 -1831
119 2034.82957 2034-30-10 0.03263 0.03250 -1846
120 2034.91170 2034-29-11 0.03449 0.03938 -1802
121 2034.99384 2034-29-12 0.03583 0.04571 -1788
122 2035.07598 2035-28-01 0.03683 0.05158 -1732
123 2035.15811 2035-27-02 0.03754 0.05707 -1675
124 2035.24025 2035-29-03 0.03802 0.06221 -1616
125 2035.32238 2035-28-04 0.03833 0.06708 -1595
126 2035.40452 2035-28-05 0.03850 0.07168 -1551
127 2035.89733 2035-24-11 0.03741 0.09511 -1311
128 2036.39014 2036-22-05 0.03428 0.11346 -1148
129 2036.88296 2036-18-11 0.03004 0.12828 -1032
130 2037.37577 2037-18-05 0.02519 0.14046 -922
131 2037.86858 2037-14-11 0.01998 0.15043 -829
132 2038.36140 2038-12-05 0.01449 0.15856 -715
133 2038.85421 2038-08-11 0.00884 0.16507 -648
134 2039.34702 2039-07-05 0.00313 0.17018 -563
135 2039.83984 2039-03-11 -0.00261 0.17398 -495
136 2040.33265 2040-01-05 -0.00833 0.17656 -425
137 2040.82546 2040-28-10 -0.01398 0.17800 -346
138 2041.31828 2041-27-04 -0.01956 0.17835 -275
139 2041.81109 2041-24-10 -0.02503 0.17769 -229
140 2042.30390 2042-21-04 -0.03035 0.17604 -151
141 2042.79671 2042-18-10 -0.03549 0.17337 -73
142 2043.28953 2043-16-04 -0.04046 0.16975 2
143 2043.78234 2043-13-10 -0.04516 0.16516 65
144 2044.27515 2044-10-04 -0.04963 0.15962 142
145 2044.76797 2044-07-10 -0.05374 0.15309 207
146 2045.26078 2045-06-04 -0.05756 0.14553 308
147 2045.75359 2045-03-10 -0.06092 0.13694 390
148 2046.24641 2046-31-03 -0.06381 0.12725 493
149 2046.73922 2046-27-09 -0.06611 0.11638 608
150 2047.23203 2047-26-03 -0.06766 0.10427 722
151 2047.72485 2047-22-09 -0.06832 0.09077 871
152 2048.21766 2048-20-03 -0.06779 0.07570 1050
153 2048.71047 2048-16-09 -0.06564 0.05885 1295
154 2049.20329 2049-16-03 -0.06097 0.03984 1588
155 2049.28542 2049-15-04 -0.05988 0.03642 1640
156 2049.36756 2049-15-05 -0.05861 0.03293 1734
157 2049.44969 2049-14-06 -0.05723 0.02934 1811
158 2049.53183 2049-14-07 -0.05566 0.02570 1906
159 2049.61396 2049-13-08 -0.05391 0.02196 2024
160 2049.69610 2049-12-09 -0.05195 0.01813 2108
161 2049.77823 2049-12-10 -0.04973 0.01421 2256
162 2049.86037 2049-11-11 -0.04719 0.01018 2377
163 2049.94251 2049-11-12 -0.04425 0.00613 2571
164 2050.02464 2050-09-01 -0.04084 0.00197 2772
165 2050.10678 2050-08-02 -0.03680 -0.00220 3012
166 2050.18891 2050-10-03 -0.03184 -0.00632 3356
167 2050.27105 2050-09-04 -0.02556 -0.01014 3712
168 2050.35318 2050-09-05 -0.01722 -0.01305 4051
169 2050.37235 2050-16-05 -0.01487 -0.01343 4094
170 2050.39151 2050-23-05 -0.01231 -0.01366 4074
171 2050.41068 2050-30-05 -0.00953 -0.01365 3977
172 2050.41615 2050-01-06 -0.00869 -0.01358 3910
173 2050.42163 2050-03-06 -0.00783 -0.01349 3862
174 2050.42710 2050-05-06 -0.00696 -0.01339 3778
175 2050.43258 2050-07-06 -0.00610 -0.01326 3695
176 2050.43806 2050-09-06 -0.00520 -0.01310 3604
177 2050.44353 2050-11-06 -0.00430 -0.01291 3500
178 2050.44627 2050-12-06 -0.00386 -0.01278 3419
179 2050.44901 2050-13-06 -0.00339 -0.01265 3341
180 2050.45175 2050-14-06 -0.00293 -0.01255 3271
181 2050.45448 2050-15-06 -0.00247 -0.01241 3213
182 2050.45722 2050-16-06 -0.00200 -0.01227 3163
183 2050.45996 2050-17-06 -0.00154 -0.01212 3060
184 2050.46270 2050-18-06 -0.00105 -0.01195 2978
185 2050.46543 2050-19-06 -0.00060 -0.01178 2899
186 2050.46817 2050-20-06 -0.00011 -0.01162 2824
187 2050.47091 2050-21-06 0.00035 -0.01144 2730
188 2050.47365 2050-22-06 0.00082 -0.01120 2608
189 2050.47639 2050-23-06 0.00129 -0.01101 2520
190 2050.47912 2050-24-06 0.00176 -0.01081 2443
191 2050.48186 2050-25-06 0.00223 -0.01058 2328
192 2050.48734 2050-27-06 0.00315 -0.01015 2122
193 2050.49281 2050-29-06 0.00408 -0.00964 1879
194 2050.49829 2050-01-07 0.00497 -0.00913 1708
195 2050.50376 2050-03-07 0.00587 -0.00856 1494
196 2050.52293 2050-10-07 0.00889 -0.00649 774
197 2050.54209 2050-17-07 0.01164 -0.00420 164
198 2050.62423 2050-16-08 0.02052 0.00613 -1308
199 2050.70637 2050-15-09 0.02608 0.01569 -1705
200 2050.78850 2050-15-10 0.02977 0.02421 -1815
201 2050.87064 2050-14-11 0.03236 0.03185 -1835
202 2050.95277 2050-14-12 0.03421 0.03878 -1811
203 2051.03491 2051-13-01 0.03558 0.04517 -1781
204 2051.11704 2051-12-02 0.03660 0.05107 -1723
205 2051.19918 2051-14-03 0.03731 0.05660 -1681
206 2051.28131 2051-13-04 0.03777 0.06178 -1656
207 2051.36345 2051-13-05 0.03808 0.06666 -1587
208 2051.44559 2051-12-06 0.03825 0.07127 -1571
209 2051.93840 2051-09-12 0.03713 0.09477 -1332
210 2052.43121 2052-06-06 0.03391 0.11315 -1169
211 2052.92402 2052-03-12 0.02968 0.12802 -1041
212 2053.41684 2053-02-06 0.02477 0.14019 -924
213 2053.90965 2053-29-11 0.01950 0.15016 -820
214 2054.40246 2054-27-05 0.01398 0.15829 -730
215 2054.89528 2054-23-11 0.00830 0.16482 -629
216 2055.38809 2055-22-05 0.00257 0.16990 -561
217 2055.88090 2055-18-11 -0.00320 0.17368 -480
218 2056.37372 2056-16-05 -0.00894 0.17625 -439
219 2056.86653 2056-12-11 -0.01460 0.17770 -366
220 2057.35934 2057-12-05 -0.02021 0.17806 -292
221 2057.85216 2057-08-11 -0.02566 0.17738 -213
222 2058.34497 2058-06-05 -0.03098 0.17572 -125
223 2058.83778 2058-02-11 -0.03614 0.17306 -83
224 2059.33060 2059-01-05 -0.04107 0.16947 4
225 2059.82341 2059-28-10 -0.04579 0.16487 67
226 2060.31622 2060-25-04 -0.05023 0.15934 149
227 2060.80903 2060-22-10 -0.05437 0.15281 225
228 2061.30185 2061-21-04 -0.05814 0.14527 309
229 2061.79466 2061-18-10 -0.06147 0.13668 402
230 2062.28747 2062-15-04 -0.06435 0.12702 492
231 2062.78029 2062-12-10 -0.06658 0.11619 598
232 2063.27310 2063-10-04 -0.06812 0.10409 733
233 2063.76591 2063-07-10 -0.06876 0.09063 857
234 2064.25873 2064-04-04 -0.06820 0.07563 1038
235 2064.75154 2064-01-10 -0.06598 0.05886 1268
236 2065.24435 2065-31-03 -0.06132 0.03989 1585
237 2065.32649 2065-30-04 -0.06020 0.03649 1629
238 2065.40862 2065-30-05 -0.05895 0.03300 1723
239 2065.49076 2065-29-06 -0.05757 0.02947 1825
240 2065.57290 2065-29-07 -0.05601 0.02581 1891
241 2065.65503 2065-28-08 -0.05424 0.02211 1993
242 2065.73717 2065-27-09 -0.05231 0.01828 2086
243 2065.81930 2065-27-10 -0.05009 0.01438 2234
244 2065.90144 2065-26-11 -0.04754 0.01042 2381
245 2065.98357 2065-26-12 -0.04466 0.00636 2551
246 2066.06571 2066-24-01 -0.04128 0.00223 2734
247 2066.14784 2066-23-02 -0.03727 -0.00192 2988
248 2066.22998 2066-25-03 -0.03240 -0.00601 3308
249 2066.31211 2066-24-04 -0.02625 -0.00986 3677
250 2066.39425 2066-24-05 -0.01815 -0.01288 4041
251 2066.41342 2066-31-05 -0.01586 -0.01333 4086
252 2066.43258 2066-07-06 -0.01337 -0.01363 4082
253 2066.45175 2066-14-06 -0.01069 -0.01372 4023
254 2066.47091 2066-21-06 -0.00779 -0.01352 3845
255 2066.47639 2066-23-06 -0.00690 -0.01341 3782
256 2066.48186 2066-25-06 -0.00602 -0.01327 3678
257 2066.48734 2066-27-06 -0.00514 -0.01311 3573
258 2066.49281 2066-29-06 -0.00425 -0.01289 3459
259 2066.49555 2066-30-06 -0.00377 -0.01277 3416
260 2066.49829 2066-01-07 -0.00333 -0.01266 3331
261 2066.50103 2066-02-07 -0.00286 -0.01253 3282
262 2066.50376 2066-03-07 -0.00240 -0.01241 3196
263 2066.50650 2066-04-07 -0.00194 -0.01228 3120
264 2066.50924 2066-05-07 -0.00145 -0.01209 3051
265 2066.51198 2066-06-07 -0.00099 -0.01194 2951
266 2066.51472 2066-07-07 -0.00054 -0.01175 2871
267 2066.51745 2066-08-07 -0.00006 -0.01159 2798
268 2066.52019 2066-09-07 0.00042 -0.01140 2688
269 2066.52293 2066-10-07 0.00088 -0.01121 2611
270 2066.52567 2066-11-07 0.00135 -0.01099 2497
271 2066.52841 2066-12-07 0.00184 -0.01077 2406
272 2066.53114 2066-13-07 0.00228 -0.01056 2304
273 2066.53662 2066-15-07 0.00323 -0.01009 2095
274 2066.54209 2066-17-07 0.00414 -0.00961 1876
275 2066.54757 2066-19-07 0.00505 -0.00908 1686
276 2066.55305 2066-21-07 0.00594 -0.00853 1479
277 2066.57221 2066-28-07 0.00895 -0.00643 754
278 2066.59138 2066-04-08 0.01170 -0.00412 143
279 2066.67351 2066-03-09 0.02054 0.00619 -1291
280 2066.75565 2066-03-10 0.02604 0.01579 -1720
281 2066.83778 2066-02-11 0.02973 0.02431 -1846
282 2066.91992 2066-02-12 0.03228 0.03194 -1832
283 2067.00205 2067-01-01 0.03411 0.03888 -1840
284 2067.08419 2067-31-01 0.03545 0.04527 -1788
285 2067.16632 2067-02-03 0.03644 0.05116 -1742
286 2067.24846 2067-01-04 0.03711 0.05667 -1692
287 2067.33060 2067-01-05 0.03758 0.06185 -1633
288 2067.41273 2067-31-05 0.03788 0.06672 -1576
289 2067.49487 2067-30-06 0.03803 0.07134 -1552
290 2067.98768 2067-27-12 0.03683 0.09479 -1351
291 2068.48049 2068-24-06 0.03354 0.11316 -1187
292 2068.97331 2068-21-12 0.02920 0.12798 -1032
293 2069.46612 2069-20-06 0.02426 0.14008 -918
294 2069.95893 2069-17-12 0.01893 0.15003 -826
295 2070.45175 2070-14-06 0.01338 0.15814 -718
296 2070.94456 2070-11-12 0.00766 0.16464 -644
297 2071.43737 2071-09-06 0.00190 0.16971 -555
298 2071.93018 2071-06-12 -0.00388 0.17344 -508
299 2072.42300 2072-03-06 -0.00962 0.17598 -413
300 2072.91581 2072-30-11 -0.01532 0.17743 -334
301 2073.40862 2073-30-05 -0.02091 0.17774 -264
302 2073.90144 2073-26-11 -0.02639 0.17707 -220
303 2074.39425 2074-24-05 -0.03171 0.17540 -149

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A mock catalogue for the S2 star in the Galactic Centre, considering a relativistic orbital model in a Schwarzschild spacetime, of simulated astrometric positions and radial velocity measurements as could be potentially measured by the GRAVITY instrument at VLT in the following years.

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