The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 19SH187 # Created Fri Nov 22 02:11:01 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 3.50y # First observation: 2017/07/18 # Last observation: 2021/01/16 Preliminary a, adot, b, bdot, g, gdot: 0.002931 0.085930 -0.000555 -0.017046 0.063314 0.000000 # Chi-squared of fit: 11.57 DOF: 24 RMS: 0.16 # Min/Max residuals: -0.30 0.30 # Exact a, adot, b, bdot, g, gdot: 2.391066E-05 8.629286E-02 -4.760294E-06 -1.765323E-02 5.909246E-02 1.231408E-02 # Covariance matrix: 4.8028E-13 -4.0908E-13 -1.7842E-14 5.5177E-14 -1.3720E-13 -1.0379E-12 -4.0908E-13 1.1581E-12 7.9873E-14 -2.3050E-13 6.6009E-13 4.2524E-12 -1.7842E-14 7.9873E-14 4.2778E-13 -1.7533E-13 5.8498E-14 2.8137E-13 5.5177E-14 -2.3050E-13 -1.7533E-13 1.3160E-13 -1.1330E-13 -1.0045E-12 -1.3720E-13 6.6009E-13 5.8498E-14 -1.1330E-13 6.3780E-13 1.7900E-12 -1.0379E-12 4.2524E-12 2.8137E-13 -1.0045E-12 1.7900E-12 1.9573E-11 # lat0 lon0 xBary yBary zBary JD0 -9.359160 -4.691593 0.872133 -0.083622 -0.508058 2457952.777567 # Heliocentric elements and errors Epoch: 2457950.5000 = 2017/07/16 Mean Anomaly: 85.47293 +/- 0.024 Argument of Peri: 121.71630 +/- 0.018 Long of Asc Node: 135.81538 +/- 0.001 Inclination: 15.00335 +/- 0.000 Eccentricity: 0.08994769 +/- 0.0000 Semi-Major Axis: 17.43274574 +/- 0.0007 Time of Perihelion: 2451638.4095 +/- 1.7 Perihelion: 15.86471044 +/- 0.0010 Aphelion: 19.00078103 +/- 0.0011 Period (y) 72.7875 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 17.08060994 +/- 0.0002 Ecliptic Y -2.28184839 +/- 0.0000 Ecliptic Z -2.75205625 +/- 0.0000 Ecliptic XDOT 0.00076005 +/- 0.0000 Ecliptic YDOT 0.00394361 +/- 0.0000 Ecliptic ZDOT -0.00089990 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 17.45072725 +/- 0.0002 Geocenter to KBO 16.92263388 +/- 0.0002 # Hcoef: 10.65
The following table shows the complete astrometric record for 19SH187. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (19SH187) followed by the observatory code and reference code for the source of the astrometry.
2017 07 18.276766 23 57 49.17 -10 26 44.9 22.2z 19SH187 W84 C~5Muj 2017 07 23.259745 23 57 34.71 -10 31 46.9 23.9g 19SH187 W84 C~5Muj 2017 07 24.283063 23 57 31.12 -10 32 52.5 23.0r 19SH187 W84 C~5Muj 2019 08 25.617106 00 34 24.17 -08 55 17.4 19SH187 568 C~5Muj 2019 08 25.619445 00 34 24.14 -08 55 17.6 19SH187 568 C~5Muj 2019 08 25.620393 00 34 24.15 -08 55 17.3 19SH187 568 C~5Muj 2019 09 24.29406 00 30 05.694 -09 34 21.73 22.9r 19SH187 807 C~5JzS 2019 09 26.23959 00 29 46.668 -09 36 44.81 22.8r 19SH187 807 C~5JzS 2019 11 29.02619 00 21 36.558 -10 14 30.36 23.5r 19SH187 304 C~5JzT 2019 11 30.02574 00 21 33.562 -10 14 18.08 23.6r 19SH187 304 C~5JzT 2019 12 27.07744 00 21 32.329 -09 59 09.95 19SH187 304 C~5JzT 2019 12 27.10089 00 21 32.401 -09 59 08.56 19SH187 304 C~5JzT 2020 12 17.03045 00 40 03.666 -08 58 30.29 23.7r 19SH187 304 C~5JzT 2021 01 15.05371 00 41 25.103 -08 31 51.55 19SH187 304 C~5JzT 2021 01 16.04711 00 41 30.979 -08 30 39.52 19SH187 304 C~5JzT
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 -0.17 0.00 0.01
2 0.0136 -316.90 0.28 -190.43 0.30
3 0.0164 -391.79 -0.04 -229.13 -0.06
4 2.1036 32070.36 0.00 -8574.20 -0.30
5 2.1036 32069.86 -0.18 -8574.19 -0.23
6 2.1036 32070.13 0.21 -8573.98 0.00
7 2.1849 27513.48 -0.24 -9054.47 -0.03
8 2.1902 27192.13 -0.02 -9063.45 -0.07
9 2.3648 19565.49 -0.16 -8029.42 0.06
10 2.3676 19530.12 -0.13 -7999.45 -0.07
11 2.4416 19897.10 0.10 -7163.38 -0.04
12 2.4417 19898.66 0.27 -7162.56 0.05
13 3.4162 36668.57 -0.04 -10964.37 0.25
14 3.4956 38504.72 0.08 -10034.02 0.01
15 3.4983 38618.28 0.05 -10006.65 0.15
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
19SH187 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 17.403 17.411 17.395 ecceobj 0.086 0.087 0.086 incobj 14.999 14.999 14.999 qmin 15.900 15.901 14.622 qmax 19.187 19.357 19.642 amean 17.568 17.695 17.327 amin 17.403 17.411 17.035 amax 17.660 17.904 17.723 emean 0.085 0.082 0.108 emin 0.083 0.078 0.070 emax 0.086 0.087 0.144 imean 13.600 13.610 13.761 imin 13.580 13.595 13.226 imax 13.628 13.632 14.410 excite_mean 0.250 0.249 0.262 fracstop 0.000 0.000 0.007 cjmean 3.194 3.190 3.201 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 119.5 119.5 213.0 kozaiamp 3.5 4.0 100.2