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: 612157
# Created Wed Dec 25 02:07:38 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 55 observations of 55
# Arc: 17.00y
# First observation: 2000/03/29
# Last observation: 2017/03/29
# Chi-squared of fit: 33.95 DOF: 104 RMS: 0.14
# Min/Max residuals: -0.37 0.47
# Exact a, adot, b, bdot, g, gdot:
1.501178E-05 2.184738E-02 -2.941352E-07 3.903816E-04 2.319509E-02 -1.527241E-03
# 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
0.511603 -174.346992 -0.060918 0.008755 -1.003815 2451632.888143
# Heliocentric elements and errors
Epoch: 2451632.5000 = 2000/03/29
Mean Anomaly: 265.71064 +/- 0.000
Argument of Peri: 127.86475 +/- 0.000
Long of Asc Node: 159.76189 +/- 0.000
Inclination: 1.14188 +/- 0.000
Eccentricity: 0.06716482 +/- 0.0000
Semi-Major Axis: 43.69607773 +/- 0.0000
Time of Perihelion: 2479265.1355 +/- 0.0
Perihelion: 40.76123857 +/- 0.0000
Aphelion: 46.63091690 +/- 0.0000
Period (y) 288.8497 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -43.88747271 +/- 0.0000
Ecliptic Y -4.40330609 +/- 0.0000
Ecliptic Z 0.38495271 +/- 0.0000
Ecliptic XDOT 0.00042769 +/- 0.0000
Ecliptic YDOT -0.00254169 +/- 0.0000
Ecliptic ZDOT 0.00004458 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.10953761 +/- 0.0000
Geocenter to KBO 43.11265969 +/- 0.0000
# Hcoef: 7.48
The following table shows the complete astrometric record for 612157. 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 (612157) followed by the observatory code and reference code for the source of the astrometry.
2000 03 29.38740 12 21 34.07 -01 46 32.9 23.7R 612157 568 Cb2555 2000 03 29.42985 12 21 33.89 -01 46 31.8 23.7R 612157 568 Cb2555 2000 03 29.47449 12 21 33.70 -01 46 30.5 23.7R 612157 568 Cb2555 2000 03 30.36737 12 21 29.87 -01 46 05.9 612157 568 Cb2555 2000 03 30.41666 12 21 29.67 -01 46 04.3 612157 568 Cb2555 2000 03 30.43149 12 21 29.61 -01 46 04.1 23.9R 612157 568 Cb2555 2001 02 23.29740 12 28 30.58 -02 30 09.2 24.0R 612157 309 Cc6643 2001 02 23.34072 12 28 30.42 -02 30 08.2 23.7R 612157 309 Cc6643 2001 02 24.28361 12 28 27.14 -02 29 46.5 23.9R 612157 309 Cc6643 2002 02 11.23883 12 33 46.82 -03 02 44.8 612157 304 Ce8748 2002 02 11.30649 12 33 46.64 -03 02 43.5 24.1R 612157 304 Ce8748 2013 05 14.21516 13 20 16.14 -07 36 58.8 23.8R 612157 G37 C~0snV 2013 05 14.28094 13 20 15.88 -07 36 57.7 612157 G37 C~0snV 2015 02 17.50618 13 35 34.467 -09 05 22.31 23.8r 612157 568 C~2ncJ 2015 02 17.54752 13 35 34.388 -09 05 21.78 23.9r 612157 568 C~2ncJ 2015 02 20.47426 13 35 28.216 -09 04 42.54 24.0r 612157 568 C~2ncJ 2015 03 18.47955 13 34 07.857 -08 56 29.67 23.9r 612157 568 C~2ncJ 2015 03 18.48429 13 34 07.845 -08 56 29.59 23.7r 612157 568 C~2ncJ 2015 03 18.52590 13 34 07.668 -08 56 28.70 23.9r 612157 568 C~2ncJ 2015 03 20.52388 13 33 59.934 -08 55 42.27 22.2r 612157 568 C~2ncJ 2015 03 23.35880 13 33 48.71 -08 54 34.6 23.5R 612157 695 C~1Q39 2015 03 23.42211 13 33 48.46 -08 54 32.9 612157 695 C~1Q39 2015 03 23.48471 13 33 48.18 -08 54 31.8 612157 695 C~1Q39 2015 04 11.41852 13 32 27.146 -08 46 30.52 23.6r 612157 568 C~2ncJ 2015 04 12.37119 13 32 22.913 -08 46 05.56 23.7r 612157 568 C~2ncJ 2015 04 12.42087 13 32 22.687 -08 46 04.17 23.8r 612157 568 C~2ncJ 2015 04 12.45912 13 32 22.495 -08 46 03.25 23.9r 612157 568 C~2ncJ 2015 04 14.46499 13 32 13.583 -08 45 10.95 23.9r 612157 568 C~2ncJ 2015 04 18.42564 13 31 55.959 -08 43 27.27 23.7r 612157 568 C~2ncJ 2015 04 18.47335 13 31 55.742 -08 43 26.11 23.5r 612157 568 C~2ncJ 2015 05 16.27210 13 29 59.854 -08 32 12.76 24.0r 612157 568 C~2ncJ 2015 05 25.38047 13 29 28.211 -08 29 12.05 23.1r 612157 568 C~2ncJ 2015 05 25.43825 13 29 28.017 -08 29 10.90 24.1r 612157 568 C~2ncJ 2015 06 21.33006 13 28 25.422 -08 23 24.39 23.9r 612157 568 C~2ncJ 2015 06 22.28249 13 28 24.188 -08 23 18.08 23.7r 612157 568 C~2ncJ 2015 06 22.28659 13 28 24.188 -08 23 18.07 23.8r 612157 568 C~2ncJ 2015 07 12.28060 13 28 15.587 -08 22 47.49 24.0r 612157 568 C~2ncJ 2015 07 19.27044 13 28 20.576 -08 23 24.13 23.9r 612157 568 C~2ncJ 2016 02 04.60217 13 40 48.489 -09 34 35.86 24.1w 612157 568 C~2ncJ 2016 02 10.62117 13 40 42.267 -09 33 51.90 24.2w 612157 568 C~2ncJ 2016 02 11.58524 13 40 40.974 -09 33 43.34 24.3w 612157 568 C~2ncJ 2016 03 11.58783 13 39 28.676 -09 26 15.33 23.1w 612157 568 C~2ncJ 2016 03 11.63454 13 39 28.487 -09 26 14.71 22.9w 612157 568 C~2ncJ 2016 03 12.48427 13 39 25.537 -09 25 56.71 24.1w 612157 568 C~2ncJ 2016 04 03.46148 13 37 57.923 -09 17 18.04 24.0w 612157 568 C~2ncJ 2016 04 09.44264 13 37 31.650 -09 14 44.30 23.9w 612157 568 C~2ncJ 2016 05 02.31935 13 35 50.760 -09 05 00.42 23.9w 612157 568 C~2ncJ 2016 05 06.32911 13 35 33.943 -09 03 23.95 24.0w 612157 568 C~2ncJ 2016 05 28.31243 13 34 13.359 -08 55 47.41 24.0w 612157 568 C~2ncJ 2016 05 29.31935 13 34 10.266 -08 55 30.15 24.2w 612157 568 C~2ncJ 2016 06 04.38178 13 33 53.006 -08 53 54.37 24.0w 612157 568 C~2ncJ 2016 07 07.30364 13 33 06.930 -08 49 57.71 24.2w 612157 568 C~2ncJ 2017 02 24.65166 13 45 13.034 -09 58 02.00 612157 568 C~2ncJ 2017 03 29.48748 13 43 21.086 -09 46 57.56 24.1w 612157 568 C~2ncJ 2017 03 29.50900 13 43 20.999 -09 46 56.99 24.1w 612157 568 C~2ncJ
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 0.02 0.00 0.12
2 0.0001 0.00 0.10 0.00 0.03
3 0.0002 0.00 0.18 0.00 0.08
4 0.0027 0.00 -0.04 0.00 -0.22
5 0.0028 0.00 0.19 0.00 0.01
6 0.0029 0.00 0.26 0.00 -0.21
7 0.9060 0.00 -0.27 0.00 0.02
8 0.9061 0.00 -0.37 0.00 0.02
9 0.9087 0.00 -0.21 0.00 -0.14
10 1.8723 0.00 -0.04 0.00 0.02
11 1.8725 0.00 0.05 0.00 0.10
12 13.1248 0.00 0.34 0.00 0.47
13 13.1250 0.00 0.09 0.00 0.17
14 14.8888 0.00 0.03 0.00 -0.04
15 14.8889 0.00 0.13 0.00 -0.03
16 14.8969 0.00 -0.04 0.00 -0.12
17 14.9681 0.00 0.03 0.00 0.07
18 14.9681 0.00 0.13 0.00 0.04
19 14.9682 0.00 -0.09 0.00 -0.03
20 14.9737 0.00 -0.12 0.00 -0.05
21 14.9814 0.00 0.27 0.00 0.21
22 14.9816 0.00 0.42 0.00 0.38
23 14.9818 0.00 0.06 0.00 -0.03
24 15.0336 0.00 0.06 0.00 0.06
25 15.0362 0.00 -0.01 0.00 0.08
26 15.0364 0.00 -0.03 0.00 0.18
27 15.0365 0.00 -0.31 0.00 0.10
28 15.0420 0.00 -0.11 0.00 -0.14
29 15.0528 0.00 -0.04 0.00 -0.02
30 15.0529 0.00 -0.05 0.00 -0.10
31 15.1290 0.00 -0.01 0.00 -0.08
32 15.1540 0.00 -0.01 0.00 -0.09
33 15.1541 0.00 -0.06 0.00 -0.00
34 15.2278 0.00 0.03 0.00 -0.00
35 15.2304 0.00 -0.03 0.00 -0.05
36 15.2304 0.00 0.05 0.00 -0.06
37 15.2851 0.00 -0.05 0.00 0.01
38 15.3043 0.00 0.04 0.00 -0.09
39 15.8527 0.00 0.03 0.00 0.02
40 15.8692 0.00 0.19 0.00 0.03
41 15.8719 0.00 0.11 0.00 -0.10
42 15.9513 0.00 0.18 0.00 0.09
43 15.9514 0.00 -0.17 0.00 -0.27
44 15.9537 0.00 -0.11 0.00 -0.06
45 16.0139 0.00 -0.04 0.00 -0.09
46 16.0303 0.00 -0.02 0.00 0.01
47 16.0929 0.00 -0.06 0.00 -0.13
48 16.1039 0.00 -0.03 0.00 -0.04
49 16.1641 0.00 -0.02 0.00 -0.03
50 16.1668 0.00 -0.07 0.00 -0.01
51 16.1834 0.00 -0.18 0.00 0.08
52 16.2736 0.00 -0.14 0.00 0.03
53 16.9097 0.00 -0.12 0.00 0.05
54 16.9996 0.00 -0.20 0.00 -0.13
55 16.9996 0.00 -0.13 0.00 -0.08
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.
612157 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.678 43.678 43.678 ecceobj 0.068 0.068 0.068 incobj 1.142 1.142 1.142 qmin 40.366 40.366 40.348 qmax 47.834 47.833 47.793 amean 43.973 43.973 43.973 amin 43.626 43.627 43.627 amax 44.331 44.344 44.344 emean 0.063 0.063 0.063 emin 0.047 0.047 0.047 emax 0.079 0.079 0.079 imean 1.986 1.986 1.986 imin 1.256 1.256 1.256 imax 2.668 2.667 2.667 excite_mean 0.073 0.072 0.073 fracstop 1.000 1.000 1.000 cjmean 3.095 3.095 3.095 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 167.9 167.8 167.9 kozaiamp 179.9 180.0 179.9