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: 19AO142 # Created Wed Jul 17 01:11:36 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 6.13y # First observation: 2013/02/15 # Last observation: 2019/04/05 # Chi-squared of fit: 13.67 DOF: 46 RMS: 0.13 # Min/Max residuals: -0.27 0.34 # Exact a, adot, b, bdot, g, gdot: 1.702051E-05 2.404058E-02 6.616510E-06 9.970481E-03 2.270546E-02 9.018652E-03 # Covariance matrix: 3.8058E-13 -2.7928E-13 7.5645E-14 -1.0198E-13 -1.4535E-13 -1.5925E-12 -2.7928E-13 5.2096E-13 -1.6412E-13 2.2000E-13 5.2257E-13 3.4475E-12 7.5645E-14 -1.6412E-13 2.9236E-13 -1.1425E-13 -1.6853E-13 -1.1085E-12 -1.0198E-13 2.2000E-13 -1.1425E-13 1.0541E-13 2.2419E-13 1.4860E-12 -1.4535E-13 5.2257E-13 -1.6853E-13 2.2419E-13 8.2250E-13 3.5298E-12 -1.5925E-12 3.4475E-12 -1.1085E-12 1.4860E-12 3.5298E-12 2.3286E-11 # lat0 lon0 xBary yBary zBary JD0 -11.297457 155.946024 0.159303 -0.190791 -0.955499 2456338.720863 # Heliocentric elements and errors Epoch: 2456338.5000 = 2013/02/15 Mean Anomaly: 5.64120 +/- 0.005 Argument of Peri: 286.81050 +/- 0.017 Long of Asc Node: 180.69493 +/- 0.000 Inclination: 24.84337 +/- 0.000 Eccentricity: 0.72231296 +/- 0.0002 Semi-Major Axis: 141.26486424 +/- 0.0748 Time of Perihelion: 2446728.5971 +/- 10.9 Perihelion: 39.22742209 +/- 0.0318 Aphelion: 243.30230639 +/- 0.1310 Period (y) 1679.0338 +/- 1.33 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -40.26260071 +/- 0.0016 Ecliptic Y 18.14811810 +/- 0.0007 Ecliptic Z -8.62775151 +/- 0.0003 Ecliptic XDOT -0.00237666 +/- 0.0000 Ecliptic YDOT -0.00211556 +/- 0.0000 Ecliptic ZDOT 0.00096605 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.99827186 +/- 0.0014 Geocenter to KBO 44.04201985 +/- 0.0018 # Hcoef: 8.03
The following table shows the complete astrometric record for 19AO142. 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 (19AO142) followed by the observatory code and reference code for the source of the astrometry.
2013 02 15.220085 10 14 22.419 -01 11 19.46 24.6r 19AO142 W84 C~870S 2013 02 15.238084 10 14 22.348 -01 11 19.15 24.3r 19AO142 W84 C~870S 2014 03 08.054895 10 18 54.843 -00 59 19.45 24.0r 19AO142 W84 C~870S 2014 03 09.20504 10 18 50.37 -00 58 42.9 19AO142 W84 C~870S 2014 03 09.26605 10 18 50.13 -00 58 41.0 24.2r 19AO142 W84 C~870S 2014 03 10.158990 10 18 46.696 -00 58 12.67 23.8r 19AO142 W84 C~870S 2014 03 10.238012 10 18 46.376 -00 58 10.23 24.3r 19AO142 W84 C~870S 2014 03 25.037306 10 17 53.097 -00 50 11.04 24.5R 19AO142 W84 C~870S 2017 04 02.24212 10 34 34.68 -00 40 49.5 25.6r 19AO142 T09 C~870S 2017 04 02.29067 10 34 34.52 -00 40 48.1 25.7r 19AO142 T09 C~870S 2017 04 02.36695 10 34 34.29 -00 40 46.0 25.2r 19AO142 T09 C~870S 2019 01 11.52118 10 50 05.45 -01 10 50.5 24.3z 19AO142 T09 C~870S 2019 01 11.57085 10 50 05.33 -01 10 49.8 24.7z 19AO142 T09 C~870S 2019 01 11.61159 10 50 05.26 -01 10 49.3 24.5z 19AO142 T09 C~870S 2019 01 11.65207 10 50 05.17 -01 10 49.1 23.8z 19AO142 T09 C~870S 2019 01 11.65474 10 50 05.16 -01 10 48.8 24.9z 19AO142 T09 C~870S 2019 03 15.32587 10 46 31.84 -00 47 02.4 24.1y 19AO142 T09 C~870S 2019 03 15.41677 10 46 31.52 -00 47 00.1 24.4y 19AO142 T09 C~870S 2019 03 15.41944 10 46 31.48 -00 46 59.8 24.8y 19AO142 T09 C~870S 2019 03 15.45994 10 46 31.33 -00 46 58.6 24.4y 19AO142 T09 C~870S 2019 03 15.51085 10 46 31.15 -00 46 57.1 24.4y 19AO142 T09 C~870S 2019 04 05.38120 10 45 20.10 -00 36 16.5 25.1r 19AO142 T09 C~870S 2019 04 05.38680 10 45 20.06 -00 36 16.5 24.8r 19AO142 T09 C~870S 2019 04 05.41988 10 45 19.96 -00 36 15.3 24.8r 19AO142 T09 C~870S 2019 04 05.48859 10 45 19.75 -00 36 13.3 24.6r 19AO142 T09 C~870S 2019 04 05.49907 10 45 19.72 -00 36 13.3 24.8r 19AO142 T09 C~870S
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 -0.03 0.00 0.08
2 0.0000 0.00 0.03 0.00 -0.09
3 1.0564 0.00 -0.06 0.00 -0.04
4 1.0595 0.00 0.00 0.00 0.08
5 1.0597 0.00 0.00 0.00 0.05
6 1.0621 0.00 0.05 0.00 -0.03
7 1.0623 0.00 -0.11 0.00 -0.11
8 1.1029 0.00 0.07 0.00 0.03
9 4.1260 0.00 0.06 0.00 0.19
10 4.1261 0.00 -0.08 0.00 0.09
11 4.1263 0.00 0.02 0.00 -0.16
12 5.9036 0.00 -0.07 0.00 -0.27
13 5.9038 0.00 -0.21 0.00 -0.06
14 5.9039 0.00 0.11 0.00 0.04
15 5.9040 0.00 0.11 0.00 -0.16
16 5.9040 0.00 0.05 0.00 0.11
17 6.0756 0.00 -0.15 0.00 0.34
18 6.0758 0.00 0.22 0.00 -0.15
19 6.0758 0.00 -0.23 0.00 0.07
20 6.0759 0.00 -0.17 0.00 0.02
21 6.0761 0.00 0.02 0.00 -0.04
22 6.1332 0.00 0.32 0.00 0.10
23 6.1332 0.00 -0.02 0.00 -0.07
24 6.1333 0.00 0.00 0.00 0.14
25 6.1335 0.00 -0.01 0.00 0.08
26 6.1335 0.00 0.02 0.00 -0.23
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.