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: 19CN31 # Created Sun Nov 24 02:10:55 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 19 observations of 19 # Arc: 15.28y # First observation: 2003/12/26 # Last observation: 2019/04/06 # Chi-squared of fit: 6.81 DOF: 32 RMS: 0.11 # Min/Max residuals: -0.18 0.30 # Exact a, adot, b, bdot, g, gdot: 1.027949E-05 9.970114E-03 3.414908E-06 3.797574E-03 1.502500E-02 -5.204549E-03 # Covariance matrix: 4.8901E-13 -5.7932E-14 8.2567E-16 -9.7243E-15 -3.4016E-14 -1.5528E-13 -5.7932E-14 5.0330E-13 -1.5640E-14 1.8596E-13 9.2636E-13 2.9810E-12 8.2567E-16 -1.5640E-14 4.8750E-13 -3.8471E-14 -2.8302E-14 -9.3339E-14 -9.7243E-15 1.8596E-13 -3.8471E-14 7.1731E-14 3.3814E-13 1.1092E-12 -3.4016E-14 9.2636E-13 -2.8302E-14 3.3814E-13 1.9373E-12 5.4311E-12 -1.5528E-13 2.9810E-12 -9.3339E-14 1.1092E-12 5.4311E-12 1.7777E-11 # lat0 lon0 xBary yBary zBary JD0 -0.110155 171.015878 0.954928 -0.000363 -0.222100 2453000.053372 # Heliocentric elements and errors Epoch: 2453000.5000 = 2003/12/27 Mean Anomaly: 303.31779 +/- 0.056 Argument of Peri: 109.44068 +/- 0.031 Long of Asc Node: 170.48181 +/- 0.000 Inclination: 20.92663 +/- 0.000 Eccentricity: 0.45130816 +/- 0.0004 Semi-Major Axis: 71.08213326 +/- 0.0436 Time of Perihelion: 2487465.9041 +/- 173.1 Perihelion: 39.00218623 +/- 0.0349 Aphelion: 103.16208029 +/- 0.0682 Period (y) 599.3064 +/- 0.55 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -65.81284613 +/- 0.0061 Ecliptic Y 11.37346998 +/- 0.0010 Ecliptic Z -0.12773448 +/- 0.0000 Ecliptic XDOT 0.00064749 +/- 0.0000 Ecliptic YDOT -0.00194869 +/- 0.0000 Ecliptic ZDOT 0.00069397 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 66.78886601 +/- 0.0060 Geocenter to KBO 66.55611869 +/- 0.0062 # Hcoef: 6.58
The following table shows the complete astrometric record for 19CN31. 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 (19CN31) followed by the observatory code and reference code for the source of the astrometry.
2003 12 26.552629 11 26 48.75 +03 27 36.3 19CN31 T14 C~8Aix 2003 12 27.520172 11 26 48.35 +03 27 40.7 19CN31 T14 C~8Aix 2003 12 27.560608 11 26 48.34 +03 27 41.1 19CN31 T14 C~8Aix 2018 02 11.654405 12 02 59.04 +03 12 23.9 19CN31 T09 C~8Aix 2018 04 24.36552 11 59 31.99 +03 38 13.8 24.3z 19CN31 T09 C~8Aix 2018 04 24.38261 11 59 31.95 +03 38 14.0 24.8z 19CN31 T09 C~8Aix 2018 04 24.40950 11 59 31.88 +03 38 14.7 24.4z 19CN31 T09 C~8Aix 2018 04 24.453253 11 59 31.77 +03 38 15.3 19CN31 T09 C~8Aix 2019 02 05.55162 12 06 07.88 +03 08 08.1 24.1i 19CN31 T09 C~8Aix 2019 02 05.59538 12 06 07.78 +03 08 09.0 24.0i 19CN31 T09 C~8Aix 2019 02 05.62229 12 06 07.73 +03 08 09.6 24.4i 19CN31 T09 C~8Aix 2019 02 05.63843 12 06 07.69 +03 08 10.0 24.6i 19CN31 T09 C~8Aix 2019 03 03.52297 12 05 01.69 +03 17 24.1 24.1z 19CN31 T09 C~8Aix 2019 03 03.53922 12 05 01.65 +03 17 24.4 23.9z 19CN31 T09 C~8Aix 2019 03 03.57949 12 05 01.52 +03 17 25.1 23.9z 19CN31 T09 C~8Aix 2019 03 03.63045 12 05 01.37 +03 17 26.1 24.2z 19CN31 T09 C~8Aix 2019 04 04.467836 12 03 23.02 +03 29 39.4 19CN31 T09 C~8Aix 2019 04 05.553811 12 03 19.70 +03 30 02.9 19CN31 T09 C~8Aix 2019 04 06.303674 12 03 17.45 +03 30 18.9 19CN31 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 0.09 0.00 0.09
2 0.0026 0.00 -0.12 0.00 -0.14
3 0.0028 0.00 0.01 0.00 0.06
4 14.1303 0.00 -0.04 0.00 -0.14
5 14.3267 0.00 -0.04 0.00 0.02
6 14.3267 0.00 0.02 0.00 -0.07
7 14.3268 0.00 0.00 0.00 0.17
8 14.3269 0.00 0.03 0.00 0.03
9 15.1129 0.00 0.07 0.00 -0.13
10 15.1131 0.00 -0.05 0.00 -0.06
11 15.1131 0.00 0.05 0.00 0.03
12 15.1132 0.00 -0.04 0.00 0.13
13 15.1840 0.00 -0.04 0.00 0.30
14 15.1841 0.00 0.09 0.00 0.23
15 15.1842 0.00 -0.05 0.00 -0.00
16 15.1843 0.00 -0.02 0.00 -0.18
17 15.2715 0.00 0.11 0.00 -0.12
18 15.2745 0.00 -0.12 0.00 -0.05
19 15.2765 0.00 -0.03 0.00 -0.12
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.