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: 612045
# Created Sun Dec 22 02:07:41 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 59 observations of 59
# Arc: 24.09y
# First observation: 1996/09/15
# Last observation: 2020/10/20
# Chi-squared of fit: 418.45 DOF: 112 RMS: 0.47
# Min/Max residuals: -1.61 1.74
# Exact a, adot, b, bdot, g, gdot:
1.359874E-05 2.121670E-02 -3.188952E-06 -1.969151E-03 2.366130E-02 3.101666E-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
0.088027 -17.648013 -0.196703 0.001350 -0.979652 2450342.408780
# Heliocentric elements and errors
Epoch: 2450342.5000 = 1996/09/16
Mean Anomaly: 111.79723 +/- 0.000
Argument of Peri: 50.45597 +/- 0.000
Long of Asc Node: 163.53341 +/- 0.000
Inclination: 5.29764 +/- 0.000
Eccentricity: 0.17325627 +/- 0.0000
Semi-Major Axis: 39.76775935 +/- 0.0000
Time of Perihelion: 2421896.3400 +/- 0.0
Perihelion: 32.87774562 +/- 0.0000
Aphelion: 46.65777308 +/- 0.0000
Period (y) 250.7869 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 41.27287353 +/- 0.0000
Ecliptic Y -12.92844020 +/- 0.0000
Ecliptic Z 0.06482725 +/- 0.0000
Ecliptic XDOT 0.00109339 +/- 0.0000
Ecliptic YDOT 0.00223504 +/- 0.0000
Ecliptic ZDOT -0.00022748 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.25032907 +/- 0.0000
Geocenter to KBO 42.26305382 +/- 0.0000
# Hcoef: 6.83
The following table shows the complete astrometric record for 612045. 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 (612045) followed by the observatory code and reference code for the source of the astrometry.
1996 09 15.90806 22 54 46.61 -06 50 42.0 22.8R 612045 950 C28050 1996 09 15.93966 22 54 46.48 -06 50 42.9 22.8R 612045 950 C28050 1996 09 15.96133 22 54 46.38 -06 50 43.8 22.8R 612045 950 C28050 1996 09 19.96075 22 54 29.37 -06 52 32.9 612045 950 C28050 1996 09 20.01390 22 54 29.13 -06 52 34.5 612045 950 C28050 1996 09 20.98355 22 54 25.06 -06 53 00.9 612045 950 C28050 1996 09 21.03082 22 54 24.86 -06 53 02.0 612045 950 C28050 1996 11 12.06707 22 51 54.35 -07 09 31.9 612045 711 C28519 1996 11 12.07518 22 51 54.29 -07 09 31.5 612045 711 C28519 1996 11 12.08342 22 51 54.31 -07 09 33.6 612045 711 C28519 1996 11 12.09099 22 51 54.32 -07 09 31.5 612045 711 C28519 1996 11 12.13432 22 51 54.33 -07 09 33.1 612045 711 C28519 1996 11 12.14202 22 51 54.31 -07 09 32.7 612045 711 C28519 1996 11 13.05781 22 51 53.32 -07 09 39.2 612045 711 C28519 1996 11 13.06908 22 51 53.35 -07 09 39.8 612045 711 C28519 1996 11 13.07768 22 51 53.29 -07 09 39.5 612045 711 C28519 1996 11 13.08554 22 51 53.27 -07 09 40.0 612045 711 C28519 1996 11 14.06351 22 51 52.41 -07 09 46.3 612045 711 C28519 1996 11 14.07123 22 51 52.34 -07 09 46.9 612045 711 C28519 1996 11 14.07902 22 51 52.35 -07 09 46.1 612045 711 C28519 1996 11 14.08665 22 51 52.34 -07 09 46.9 612045 711 C28519 1997 06 28.55558 23 03 56.24 -05 59 41.3 612045 568 C30144 1997 06 29.51785 23 03 55.09 -05 59 48.9 612045 568 C30144 1997 06 29.55644 23 03 55.07 -05 59 49.1 612045 568 C30144 1997 06 29.59858 23 03 54.98 -05 59 48.9 612045 568 C30144 1997 09 06.95833 23 00 08.37 -06 24 42.2 22.6R 612045 950 C30629 1997 09 06.99889 23 00 08.22 -06 24 43.3 612045 950 C30629 1997 09 07.06715 23 00 07.89 -06 24 45.1 612045 950 C30629 1997 09 07.08670 23 00 07.80 -06 24 45.4 612045 950 C30629 1997 09 07.10470 23 00 07.72 -06 24 46.3 612045 950 C30629 1997 09 07.28714 23 00 06.94 -06 24 51.2 612045 675 C30579 1997 09 07.42352 23 00 06.33 -06 24 55.2 612045 675 C30579 1997 09 08.25432 23 00 02.69 -06 25 19.1 612045 675 C30579 1997 09 08.38924 23 00 02.09 -06 25 23.0 612045 675 C30579 1997 09 10.00484 22 59 55.09 -06 26 08.5 612045 950 C30629 1997 09 10.02200 22 59 55.02 -06 26 09.0 612045 950 C30629 1997 09 10.04023 22 59 54.92 -06 26 09.3 612045 950 C30629 1997 09 23.25225 22 58 58.33 -06 32 15.8 612045 568 Ca0009 1997 09 23.28191 22 58 58.24 -06 32 16.3 612045 568 Ca0009 1997 09 24.28318 22 58 54.11 -06 32 43.5 612045 568 Ca0009 1997 09 24.34705 22 58 53.83 -06 32 45.4 612045 568 Ca0009 1997 10 05.15420 22 58 11.33 -06 37 21.4 612045 675 Ca0009 1997 10 05.22851 22 58 11.03 -06 37 23.1 22.9R 612045 675 Ca0009 1997 10 05.29484 22 58 10.78 -06 37 24.7 612045 675 Ca0009 1999 11 30.14954 23 05 32.72 -06 06 49.9 23.2r 612045 695 Cq9785 1999 12 01.12499 23 05 32.83 -06 06 49.5 22.4r 612045 695 Cq9785 2000 08 02.37359 23 16 19.65 -05 04 00.3 23.1R 612045 809 Cb7379 2000 08 02.39196 23 16 19.59 -05 04 00.6 23.2R 612045 809 Cb7379 2000 08 02.41604 23 16 19.51 -05 04 01.2 23.2R 612045 809 Cb7379 2002 08 11.37222 23 24 51.44 -04 24 03.7 22.1R 612045 807 Ch1038 2002 08 12.31262 23 24 47.98 -04 24 28.0 612045 807 Ch1038 2002 08 12.39073 23 24 47.72 -04 24 30.0 612045 807 Ch1038 2008 10 24.17642 23 46 21.53 -02 48 06.1 23.5r 612045 695 C~0gLr 2008 10 24.27595 23 46 21.20 -02 48 08.3 23.7r 612045 695 C~0gLr 2020 09 21.279410 00 39 16.442 +01 38 51.59 23.5G 612045 G37 C~49J8 2020 09 21.356010 00 39 16.146 +01 38 49.25 612045 G37 C~49J8 2020 10 20.105190 00 37 17.535 +01 25 49.77 23.5G 612045 G37 C~4Knb 2020 10 20.153660 00 37 17.321 +01 25 48.58 612045 G37 C~4Knb 2020 10 20.214650 00 37 17.081 +01 25 47.04 612045 G37 C~4Knb
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 -0.04 0.00 0.40
2 0.0001 0.00 0.08 0.00 0.38
3 0.0001 0.00 -0.00 0.00 0.08
4 0.0111 0.00 0.18 0.00 0.61
5 0.0112 0.00 -0.00 0.00 0.45
6 0.0139 0.00 -0.03 0.00 0.28
7 0.0140 0.00 -0.01 0.00 0.46
8 0.1565 0.00 -0.13 0.00 0.21
9 0.1565 0.00 -0.89 0.00 0.68
10 0.1565 0.00 -0.45 0.00 -1.36
11 0.1566 0.00 -0.17 0.00 0.80
12 0.1567 0.00 0.73 0.00 -0.46
13 0.1567 0.00 0.56 0.00 0.00
14 0.1592 0.00 -0.19 0.00 0.47
15 0.1592 0.00 0.44 0.00 -0.05
16 0.1593 0.00 -0.32 0.00 0.32
17 0.1593 0.00 -0.49 0.00 -0.13
18 0.1620 0.00 0.51 0.00 0.51
19 0.1620 0.00 -0.42 0.00 -0.03
20 0.1620 0.00 -0.16 0.00 0.82
21 0.1620 0.00 -0.20 0.00 0.07
22 0.7821 0.00 0.35 0.00 -1.61
23 0.7847 0.00 -0.10 0.00 -1.06
24 0.7848 0.00 0.34 0.00 -0.93
25 0.7849 0.00 -0.20 0.00 -0.36
26 0.9748 0.00 -0.23 0.00 -0.19
27 0.9749 0.00 0.23 0.00 -0.14
28 0.9751 0.00 -0.16 0.00 -0.00
29 0.9752 0.00 -0.21 0.00 0.25
30 0.9752 0.00 -0.21 0.00 -0.14
31 0.9757 0.00 -0.03 0.00 0.15
32 0.9761 0.00 -0.09 0.00 0.01
33 0.9784 0.00 -0.34 0.00 -0.34
34 0.9787 0.00 -0.35 0.00 -0.42
35 0.9832 0.00 0.43 0.00 -0.21
36 0.9832 0.00 0.52 0.00 -0.23
37 0.9833 0.00 0.24 0.00 -0.01
38 1.0194 0.00 -0.82 0.00 -0.43
39 1.0195 0.00 -0.30 0.00 -0.13
40 1.0222 0.00 -0.13 0.00 -0.50
41 1.0224 0.00 -0.31 0.00 -0.69
42 1.0520 0.00 0.64 0.00 -0.52
43 1.0522 0.00 0.37 0.00 -0.42
44 1.0524 0.00 0.39 0.00 -0.42
45 3.2039 0.00 0.71 0.00 0.07
46 3.2066 0.00 0.22 0.00 0.31
47 3.8781 0.00 0.13 0.00 0.47
48 3.8781 0.00 0.14 0.00 0.57
49 3.8782 0.00 0.14 0.00 0.50
50 5.9013 0.00 1.14 0.00 1.74
51 5.9039 0.00 -0.75 0.00 0.30
52 5.9041 0.00 -0.38 0.00 0.20
53 12.1048 0.00 -0.64 0.00 0.07
54 12.1050 0.00 -0.50 0.00 0.02
55 24.0147 0.00 -0.19 0.00 -0.03
56 24.0149 0.00 0.12 0.00 -0.25
57 24.0936 0.00 0.31 0.00 -0.15
58 24.0938 0.00 0.03 0.00 -0.12
59 24.0939 0.00 0.11 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.
612045 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.707 39.707 39.707 ecceobj 0.170 0.170 0.170 incobj 5.293 5.293 5.293 qmin 31.763 31.760 31.767 qmax 47.646 47.704 47.586 amean 39.456 39.457 39.457 amin 39.033 39.044 39.028 amax 39.941 39.942 39.939 emean 0.177 0.177 0.177 emin 0.160 0.160 0.161 emax 0.194 0.194 0.193 imean 4.957 4.957 4.957 imin 4.461 4.461 4.461 imax 5.621 5.622 5.619 excite_mean 0.197 0.197 0.197 fracstop 1.000 1.000 1.000 cjmean 3.008 3.008 3.008 libcent 0 180.0 179.4 179.6 libamp 0 74.3 73.9 73.8 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 183.8 183.9 184.0 kozaiamp 180.0 180.0 180.0