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: 12OL6
# Created Wed Dec 25 02:09:15 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 19 observations of 19
# Arc: 10.33y
# First observation: 2012/07/22
# Last observation: 2022/11/19
# Chi-squared of fit: 122.70 DOF: 32 RMS: 0.45
# Min/Max residuals: -0.86 1.16
# Exact a, adot, b, bdot, g, gdot:
9.499690E-06 1.261828E-02 -6.826331E-06 -1.711336E-03 1.711735E-02 -3.719822E-03
# Covariance matrix:
1.6671E-13 -3.6793E-14 -1.0530E-15 3.5551E-15 4.0967E-14 -1.8448E-13
-3.6793E-14 2.0159E-13 1.2742E-14 -2.9078E-14 1.8250E-13 1.5948E-12
-1.0530E-15 1.2742E-14 1.4669E-13 -1.7811E-14 1.2676E-14 1.0238E-13
3.5551E-15 -2.9078E-14 -1.7811E-14 7.8776E-15 -2.5210E-14 -2.3466E-13
4.0967E-14 1.8250E-13 1.2676E-14 -2.5210E-14 3.6238E-13 1.4166E-12
-1.8448E-13 1.5948E-12 1.0238E-13 -2.3466E-13 1.4166E-12 1.2861E-11
# lat0 lon0 xBary yBary zBary JD0
4.261299 -47.151894 0.232480 0.073511 -0.987063 2456130.890288
# Heliocentric elements and errors
Epoch: 2456130.5000 = 2012/07/22
Mean Anomaly: 267.69201 +/- 0.050
Argument of Peri: 275.93013 +/- 0.028
Long of Asc Node: 160.92232 +/- 0.001
Inclination: 8.78559 +/- 0.000
Eccentricity: 0.30120730 +/- 0.0002
Semi-Major Axis: 54.18631652 +/- 0.0096
Time of Perihelion: 2493487.2990 +/- 35.2
Perihelion: 37.86500256 +/- 0.0128
Aphelion: 70.50763048 +/- 0.0166
Period (y) 398.8804 +/- 0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 40.12462523 +/- 0.0014
Ecliptic Y -43.59426227 +/- 0.0015
Ecliptic Z 4.34058535 +/- 0.0002
Ecliptic XDOT 0.00108457 +/- 0.0000
Ecliptic YDOT 0.00179561 +/- 0.0000
Ecliptic ZDOT -0.00031706 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 59.40799831 +/- 0.0014
Geocenter to KBO 58.42048600 +/- 0.0021
# Hcoef: 7.11
The following table shows the complete astrometric record for 12OL6. 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 (12OL6) followed by the observatory code and reference code for the source of the astrometry.
2012 07 22.38951 20 56 18.766 -12 51 53.89 12OL6 568 C~1x85 2012 07 22.46926 20 56 18.503 -12 51 55.08 12OL6 568 C~1x85 2012 07 22.54526 20 56 18.236 -12 51 56.11 24.8r 12OL6 568 C~1x85 2012 08 19.19240 20 54 43.884 -12 59 04.28 12OL6 304 C~1x85 2012 08 19.20945 20 54 43.798 -12 59 04.41 12OL6 304 C~1x85 2012 10 12.02055 20 52 38.284 -13 11 19.30 12OL6 304 C~1x85 2012 10 12.15351 20 52 38.136 -13 11 20.06 12OL6 304 C~1x85 2013 07 07.32825 21 00 05.785 -12 42 06.39 12OL6 304 C~1x85 2013 07 07.38166 21 00 05.548 -12 42 07.08 12OL6 304 C~1x85 2013 08 10.30765 20 58 12.637 -12 50 14.18 12OL6 304 C~1x85 2013 08 11.24409 20 58 09.412 -12 50 29.42 12OL6 304 C~1x85 2021 09 03.02691 21 21 23.558 -11 59 30.13 24.9r 12OL6 807 C~6Emd 2021 09 03.16694 21 21 23.116 -11 59 32.25 24.7r 12OL6 807 C~6Emd 2021 10 02.01688 21 20 06.576 -12 07 10.50 24.5r 12OL6 304 C~6Emd 2021 10 06.00812 21 19 59.117 -12 08 01.78 24.5r 12OL6 304 C~6Emd 2022 04 29.40869 21 28 46.592 -11 32 41.77 24.6r 12OL6 304 C~6Emd 2022 04 30.40792 21 28 47.896 -11 32 33.23 24.6r 12OL6 304 C~6Emd 2022 10 16.03089 21 22 53.328 -12 01 58.74 24.6r 12OL6 304 C~6Emd 2022 11 19.03773 21 22 51.514 -12 04 45.54 24.8r 12OL6 304 C~6Emd
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 0.13 0.00 1.16
2 0.0002 0.00 0.28 0.00 1.11
3 0.0004 0.00 0.18 0.00 1.15
4 0.0761 0.00 0.07 0.00 -0.39
5 0.0762 0.00 -0.36 0.00 -0.24
6 0.2235 0.00 0.22 0.00 -0.86
7 0.2239 0.00 -0.05 0.00 -0.43
8 0.9581 0.00 0.68 0.00 -0.34
9 0.9582 0.00 -0.43 0.00 -0.41
10 1.0511 0.00 -0.29 0.00 -0.40
11 1.0537 0.00 -0.41 0.00 -0.56
12 9.1161 0.00 -0.14 0.00 -0.30
13 9.1164 0.00 0.06 0.00 0.07
14 9.1954 0.00 -0.03 0.00 0.03
15 9.2063 0.00 -0.08 0.00 0.31
16 9.7687 0.00 -0.20 0.00 -0.03
17 9.7714 0.00 -0.10 0.00 -0.15
18 10.2331 0.00 0.18 0.00 0.02
19 10.3262 0.00 0.26 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.
12OL6 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 54.275 54.274 54.275 ecceobj 0.301 0.301 0.301 incobj 8.771 8.771 8.771 qmin 37.237 37.204 37.174 qmax 72.022 72.155 71.994 amean 54.225 54.227 54.227 amin 53.671 53.661 53.668 amax 54.964 54.943 54.942 emean 0.300 0.300 0.300 emin 0.288 0.287 0.289 emax 0.312 0.313 0.312 imean 8.367 8.380 8.346 imin 7.901 7.903 7.890 imax 8.895 8.956 8.893 excite_mean 0.333 0.333 0.333 fracstop 1.000 1.000 1.000 cjmean 3.089 3.088 3.088 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 188.9 188.4 188.4 kozaiamp 179.9 180.0 180.0