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: 612658
# Created Sun Dec 22 02:07:47 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 40 observations of 40
# Arc: 17.94y
# First observation: 2002/12/31
# Last observation: 2020/12/09
# Chi-squared of fit: 72.00 DOF: 74 RMS: 0.24
# Min/Max residuals: -0.68 0.60
# Exact a, adot, b, bdot, g, gdot:
1.492226E-05 2.769948E-02 -8.019176E-06 -1.466136E-02 2.858314E-02 6.510622E-05
# Covariance matrix:
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
# lat0 lon0 xBary yBary zBary JD0
1.195456 68.383482 -0.501495 0.017522 -0.839962 2452639.664070
# Heliocentric elements and errors
Epoch: 2452640.5000 = 2003/01/01
Mean Anomaly: 6.87814 +/- 0.000
Argument of Peri: 169.14857 +/- 0.000
Long of Asc Node: 251.39731 +/- 0.000
Inclination: 27.88211 +/- 0.000
Eccentricity: 0.09529155 +/- 0.0000
Semi-Major Axis: 39.57080050 +/- 0.0000
Time of Perihelion: 2450903.3838 +/- 0.0
Perihelion: 35.80003745 +/- 0.0000
Aphelion: 43.34156356 +/- 0.0000
Period (y) 248.9261 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.72709025 +/- 0.0000
Ecliptic Y 33.48883632 +/- 0.0000
Ecliptic Z 0.72963136 +/- 0.0000
Ecliptic XDOT -0.00246065 +/- 0.0000
Ecliptic YDOT 0.00100643 +/- 0.0000
Ecliptic ZDOT -0.00140371 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 35.83312430 +/- 0.0000
Geocenter to KBO 34.98570214 +/- 0.0000
# Hcoef: 7.21
The following table shows the complete astrometric record for 612658. 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 (612658) followed by the observatory code and reference code for the source of the astrometry.
2002 12 31.163327 04 25 44.59 +22 53 01.5 22.6V 612658 645 C~1RHR 2002 12 31.164157 04 25 44.58 +22 53 01.5 22.4V 612658 645 C~1RHR 2002 12 31.166644 04 25 44.57 +22 53 01.4 23.3V 612658 645 C~1RHR 2003 10 03.45706 04 40 42.78 +22 44 53.0 22.8i 612658 568 Cq9898 2003 10 03.50790 04 40 42.66 +22 44 52.4 22.7i 612658 568 Cq9898 2003 10 03.56923 04 40 42.50 +22 44 51.7 22.7i 612658 568 Cq9898 2003 12 16.32472 04 34 30.89 +22 22 52.7 22.5g 612658 568 Cq9898 2003 12 16.35119 04 34 30.73 +22 22 52.0 22.4g 612658 568 Cq9898 2003 12 16.37749 04 34 30.57 +22 22 51.5 22.5g 612658 568 Cq9898 2003 12 17.39650 04 34 24.53 +22 22 30.5 612658 568 Cq9898 2003 12 17.42928 04 34 24.33 +22 22 29.9 612658 568 Cq9898 2004 09 11.48953 04 48 12.81 +22 11 08.8 612658 695 Cq9898 2004 09 12.48215 04 48 13.13 +22 11 00.9 612658 695 Cq9898 2004 09 16.47160 04 48 13.21 +22 10 26.6 612658 675 Cq9898 2004 09 17.46085 04 48 12.92 +22 10 17.6 612658 675 Cq9898 2004 09 18.43761 04 48 12.53 +22 10 08.5 612658 675 Cq9898 2005 11 04.48734 04 53 03.70 +21 20 46.7 22.5R 612658 695 Cq9898 2005 11 04.52093 04 53 03.47 +21 20 46.3 22.5R 612658 695 Cq9898 2005 11 05.51394 04 52 58.52 +21 20 28.8 22.5R 612658 695 Cq9898 2005 12 24.27044 04 48 12.47 +21 05 33.9 23.0g 612658 568 C~0DoF 2005 12 24.36845 04 48 11.90 +21 05 32.2 23.1g 612658 568 C~0DoF 2005 12 24.40264 04 48 11.70 +21 05 31.7 23.1g 612658 568 C~0DoF 2005 12 25.40633 04 48 05.98 +21 05 14.2 23.1g 612658 568 C~0DoF 2006 01 31.240791 04 45 25.08 +20 56 20.7 612658 645 C~1RHR 2006 01 31.241620 04 45 25.07 +20 56 20.7 612658 645 C~1RHR 2006 01 31.244108 04 45 25.07 +20 56 20.7 612658 645 C~1RHS 2008 09 20.45657 05 15 58.01 +19 31 07.8 23.8R 612658 250 S~06Ae 2008 09 20.46282 05 15 58.01 +19 31 07.7 612658 250 S~06Ae 2008 09 20.46976 05 15 58.01 +19 31 07.6 612658 250 S~06Ae 2008 09 20.47601 05 15 58.01 +19 31 07.5 612658 250 S~06Ae 2015 10 19.43166 06 01 42.67 +14 13 46.0 23.2r 612658 568 C~59d3 2015 10 19.50534 06 01 42.52 +14 13 44.3 22.7r 612658 568 C~59d3 2015 10 19.56106 06 01 42.41 +14 13 43.2 23.2r 612658 568 C~59d3 2015 10 19.62723 06 01 42.27 +14 13 41.7 22.6r 612658 568 C~59d3 2020 11 14.431440 06 31 42.435 +10 06 48.57 22.8G 612658 G37 C~4NFg 2020 11 14.478950 06 31 42.192 +10 06 47.39 612658 G37 C~4NFg 2020 11 14.508070 06 31 42.103 +10 06 47.53 612658 G37 C~4NFg 2020 12 09.390460 06 29 44.277 +10 00 21.56 22.9G 612658 G37 C~4Tx8 2020 12 09.436190 06 29 44.013 +10 00 20.97 612658 G37 C~4Tx8 2020 12 09.487180 06 29 43.738 +10 00 20.71 612658 G37 C~4Tx8
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 -0.01
2 0.0000 0.00 0.01 0.00 0.01
3 0.0000 0.00 0.05 0.00 -0.04
4 0.7565 0.00 0.02 0.00 0.30
5 0.7566 0.00 0.04 0.00 0.28
6 0.7568 0.00 -0.15 0.00 0.29
7 0.9587 0.00 0.01 0.00 0.16
8 0.9588 0.00 0.01 0.00 0.01
9 0.9588 0.00 -0.00 0.00 0.05
10 0.9616 0.00 0.07 0.00 0.07
11 0.9617 0.00 0.03 0.00 0.15
12 1.6984 0.00 -0.15 0.00 0.19
13 1.7011 0.00 -0.02 0.00 0.26
14 1.7120 0.00 0.31 0.00 0.10
15 1.7147 0.00 0.16 0.00 0.09
16 1.7174 0.00 0.18 0.00 0.07
17 2.8455 0.00 0.21 0.00 -0.09
18 2.8456 0.00 -0.68 0.00 0.11
19 2.8483 0.00 0.21 0.00 0.03
20 2.9818 0.00 -0.34 0.00 -0.62
21 2.9821 0.00 -0.32 0.00 -0.62
22 2.9822 0.00 -0.32 0.00 -0.53
23 2.9849 0.00 -0.22 0.00 -0.56
24 3.0858 0.00 0.34 0.00 -0.16
25 3.0858 0.00 0.22 0.00 -0.15
26 3.0858 0.00 0.32 0.00 -0.12
27 5.7229 0.00 -0.02 0.00 0.23
28 5.7229 0.00 -0.03 0.00 0.22
29 5.7229 0.00 -0.03 0.00 0.22
30 5.7230 0.00 -0.04 0.00 0.20
31 12.8002 0.00 0.01 0.00 0.02
32 12.8004 0.00 -0.00 0.00 -0.10
33 12.8005 0.00 0.07 0.00 0.01
34 12.8007 0.00 0.02 0.00 -0.06
35 17.8734 0.00 0.32 0.00 0.10
36 17.8736 0.00 -0.53 0.00 -0.13
37 17.8736 0.00 -0.15 0.00 0.60
38 17.9418 0.00 0.23 0.00 -0.16
39 17.9419 0.00 0.07 0.00 -0.25
40 17.9420 0.00 0.17 0.00 0.04
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.
612658 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.666 39.666 39.666 ecceobj 0.098 0.098 0.098 incobj 27.866 27.866 27.866 qmin 35.099 35.100 35.098 qmax 44.171 44.262 44.280 amean 39.457 39.457 39.458 amin 39.069 39.063 39.069 amax 39.871 39.871 39.883 emean 0.082 0.084 0.083 emin 0.054 0.059 0.059 emax 0.110 0.112 0.111 imean 29.394 29.380 29.384 imin 29.016 28.989 28.998 imax 29.787 29.744 29.754 excite_mean 0.498 0.498 0.498 fracstop 1.000 1.000 1.000 cjmean 2.751 2.751 2.751 libcent 0 179.9 179.4 180.2 libamp 0 101.8 102.1 101.9 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 177.8 180.1 179.8 kozaiamp 180.0 180.0 180.0