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: 19CO31 # Created Sun Nov 24 02:10:55 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 25 observations of 25 # Arc: 5.90y # First observation: 2014/02/27 # Last observation: 2020/01/21 # Chi-squared of fit: 12.36 DOF: 44 RMS: 0.12 # Min/Max residuals: -0.30 0.24 # Exact a, adot, b, bdot, g, gdot: 1.383733E-05 2.348500E-02 1.101043E-05 1.585860E-02 2.633026E-02 -4.197106E-03 # Covariance matrix: 2.7651E-13 -9.4191E-14 1.1913E-14 -2.9143E-14 3.1468E-14 -3.2512E-13 -9.4191E-14 4.0002E-13 -1.1246E-13 2.7247E-13 6.1052E-13 3.0216E-12 1.1913E-14 -1.1246E-13 2.7808E-13 -1.2911E-13 -1.8128E-13 -8.7911E-13 -2.9143E-14 2.7247E-13 -1.2911E-13 2.0520E-13 4.3814E-13 2.1298E-12 3.1468E-14 6.1052E-13 -1.8128E-13 4.3814E-13 1.3584E-12 4.8514E-12 -3.2512E-13 3.0216E-12 -8.7911E-13 2.1298E-12 4.8514E-12 2.3617E-11 # lat0 lon0 xBary yBary zBary JD0 -0.280185 174.499428 0.269196 -0.004551 -0.951076 2456715.994350 # Heliocentric elements and errors Epoch: 2456716.5000 = 2014/02/28 Mean Anomaly: 327.28306 +/- 0.017 Argument of Peri: 50.08888 +/- 0.025 Long of Asc Node: 174.50499 +/- 0.000 Inclination: 34.02752 +/- 0.000 Eccentricity: 0.22474538 +/- 0.0002 Semi-Major Axis: 46.85604271 +/- 0.0106 Time of Perihelion: 2467363.2485 +/- 36.4 Perihelion: 36.32536342 +/- 0.0129 Aphelion: 57.38672199 +/- 0.0163 Period (y) 320.7426 +/- 0.11 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -38.72606734 +/- 0.0017 Ecliptic Y 4.00119794 +/- 0.0002 Ecliptic Z -0.18530331 +/- 0.0000 Ecliptic XDOT 0.00018653 +/- 0.0000 Ecliptic YDOT -0.00247477 +/- 0.0000 Ecliptic ZDOT 0.00165124 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.93276042 +/- 0.0017 Geocenter to KBO 37.97925205 +/- 0.0017 # Hcoef: 7.76
The following table shows the complete astrometric record for 19CO31. 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 (19CO31) followed by the observatory code and reference code for the source of the astrometry.
2014 02 27.493572 11 39 21.55 +01 55 40.5 19CO31 T09 C~8Aix 2014 02 27.508698 11 39 21.50 +01 55 41.2 19CO31 T09 C~8Aix 2014 02 27.529327 11 39 21.38 +01 55 42.2 19CO31 T09 C~8Aix 2014 02 27.543474 11 39 21.32 +01 55 42.8 19CO31 T09 C~8Aix 2015 03 30.262237 11 43 25.18 +02 34 04.1 19CO31 T09 C~8Aix 2015 03 30.271763 11 43 25.13 +02 34 04.4 19CO31 T09 C~8Aix 2015 03 30.281376 11 43 25.09 +02 34 04.8 19CO31 T09 C~8Aix 2018 04 22.282636 12 01 20.75 +03 42 47.8 19CO31 T09 C~8Aix 2018 04 22.367255 12 01 20.42 +03 42 50.5 19CO31 T09 C~8Aix 2019 02 05.55500 12 13 22.67 +03 11 55.8 23.0i 19CO31 T09 C~8Aix 2019 02 05.60072 12 13 22.52 +03 11 57.5 23.5i 19CO31 T09 C~8Aix 2019 02 05.64110 12 13 22.41 +03 11 59.0 23.4i 19CO31 T09 C~8Aix 2019 02 28.577748 12 11 59.24 +03 26 31.6 19CO31 T09 C~8Aix 2019 03 03.51760 12 11 46.53 +03 28 32.6 23.4z 19CO31 T09 C~8Aix 2019 03 03.52028 12 11 46.50 +03 28 32.4 23.7z 19CO31 T09 C~8Aix 2019 03 03.54189 12 11 46.40 +03 28 33.6 23.2z 19CO31 T09 C~8Aix 2019 03 03.58217 12 11 46.21 +03 28 35.1 23.2z 19CO31 T09 C~8Aix 2019 03 03.63313 12 11 46.00 +03 28 37.3 23.2z 19CO31 T09 C~8Aix 2019 03 03.63583 12 11 46.00 +03 28 37.3 23.7z 19CO31 T09 C~8Aix 2019 04 04.469928 12 09 17.04 +03 50 23.8 19CO31 T09 C~8Aix 2019 04 04.493018 12 09 16.93 +03 50 24.7 19CO31 T09 C~8Aix 2019 04 05.532868 12 09 12.09 +03 51 04.7 19CO31 T09 C~8Aix 2019 04 05.555906 12 09 11.99 +03 51 05.6 19CO31 T09 C~8Aix 2020 01 20.551578 12 20 34.81 +03 21 26.4 19CO31 T09 C~8Aix 2020 01 21.635744 12 20 33.36 +03 21 55.7 19CO31 T09 C~8Aix
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 -0.07 0.00 -0.30
2 0.0000 0.00 0.22 0.00 -0.19
3 0.0001 0.00 -0.16 0.00 0.02
4 0.0001 0.00 -0.09 0.00 0.07
5 1.0836 0.00 0.09 0.00 0.20
6 1.0836 0.00 0.00 0.00 0.13
7 1.0836 0.00 0.07 0.00 0.15
8 4.1473 0.00 -0.10 0.00 0.03
9 4.1475 0.00 0.01 0.00 0.03
10 4.9393 0.00 0.04 0.00 -0.01
11 4.9394 0.00 -0.19 0.00 0.13
12 4.9395 0.00 -0.05 0.00 0.24
13 5.0023 0.00 0.14 0.00 -0.02
14 5.0103 0.00 0.17 0.00 0.11
15 5.0103 0.00 -0.10 0.00 -0.20
16 5.0104 0.00 -0.15 0.00 0.11
17 5.0105 0.00 -0.29 0.00 -0.06
18 5.0106 0.00 -0.04 0.00 0.04
19 5.0107 0.00 0.14 0.00 -0.07
20 5.0978 0.00 0.04 0.00 -0.04
21 5.0979 0.00 0.03 0.00 -0.03
22 5.1007 0.00 -0.05 0.00 -0.09
23 5.1008 0.00 0.08 0.00 -0.07
24 5.8948 0.00 0.07 0.00 -0.08
25 5.8977 0.00 0.12 0.00 -0.07
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.