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: 459870
# Created Sat Apr 20 01:07:58 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 103 observations of 103
# Arc: 9.60y
# First observation: 2011/12/23
# Last observation: 2021/07/28
# Chi-squared of fit: 268.86 DOF: 200 RMS: 0.29
# Min/Max residuals: -1.20 0.78
# Exact a, adot, b, bdot, g, gdot:
-2.813593E-05 -2.023221E-01 -6.790212E-06 -5.166436E-02 1.101118E-01 -8.780007E-02
# 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
0.959121 85.310267 -0.096848 0.016387 -0.977568 2455918.652366
# Heliocentric elements and errors
Epoch: 2455918.5000 = 2011/12/23
Mean Anomaly: 303.54312 +/- 0.000
Argument of Peri: 279.73250 +/- 0.000
Long of Asc Node: 262.48212 +/- 0.000
Inclination: 165.55116 +/- 0.000
Eccentricity: 0.40131078 +/- 0.0000
Semi-Major Axis: 10.89348681 +/- 0.0000
Time of Perihelion: 2457978.0066 +/- 0.0
Perihelion: 6.52181309 +/- 0.0000
Aphelion: 15.26516054 +/- 0.0000
Period (y) 35.9549 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 0.72936215 +/- 0.0000
Ecliptic Y 10.03362989 +/- 0.0000
Ecliptic Z 0.15193572 +/- 0.0000
Ecliptic XDOT 0.00483286 +/- 0.0000
Ecliptic YDOT -0.00256062 +/- 0.0000
Ecliptic ZDOT -0.00132088 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 10.06136644 +/- 0.0000
Geocenter to KBO 9.08182933 +/- 0.0000
# Hcoef: 11.98
The following table shows the complete astrometric record for 459870. 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 (459870) followed by the observatory code and reference code for the source of the astrometry.
2011 12 23.15160 05 39 24.80 +24 18 52.8 20.9R 459870 950 C~19zs 2011 12 23.15318 05 39 24.76 +24 18 52.8 20.9R 459870 950 C~19zs 2011 12 23.15477 05 39 24.68 +24 18 52.6 21.0R 459870 950 C~19zs 2011 12 23.15634 05 39 24.63 +24 18 52.7 20.8R 459870 950 C~19zs 2011 12 23.15793 05 39 24.55 +24 18 52.5 20.8R 459870 950 C~19zs 2011 12 23.15951 05 39 24.51 +24 18 52.4 20.7R 459870 950 C~19zs 2013 01 05.16306 04 37 24.38 +19 40 35.0 21.4V 459870 G96 C~19zs 2013 01 05.16890 04 37 24.24 +19 40 33.7 21.4V 459870 G96 C~19zs 2013 01 05.17470 04 37 23.98 +19 40 33.7 21.5V 459870 G96 C~19zs 2013 01 05.18050 04 37 23.80 +19 40 33.2 21.6V 459870 G96 C~19zs 2013 11 26.32841 04 03 03.181 +14 45 35.89 21.2w 459870 F51 C~0zFY 2013 11 26.34370 04 03 02.513 +14 45 33.58 21.3w 459870 F51 C~0zFY 2013 11 26.35902 04 03 01.838 +14 45 31.05 21.4w 459870 F51 C~0zFY 2013 11 26.37442 04 03 01.189 +14 45 28.52 21.4w 459870 F51 C~0zFY 2014 01 03.22826 03 38 13.92 +13 14 36.2 21.4V 459870 G96 C~0zFY 2014 01 03.23349 03 38 13.74 +13 14 35.9 21.3V 459870 G96 C~0zFY 2014 01 03.23881 03 38 13.56 +13 14 35.1 21.1V 459870 G96 C~0zFY 2014 01 03.24433 03 38 13.35 +13 14 35.0 21.1V 459870 G96 C~0zFY 2014 01 04.11172 03 37 45.47 +13 12 56.4 21.2R 459870 291 C~0zFY 2014 01 04.11868 03 37 45.22 +13 12 55.9 21.1V 459870 G96 C~0zFY 2014 01 04.12116 03 37 45.15 +13 12 54.5 21.1R 459870 291 C~0zFY 2014 01 04.13033 03 37 44.91 +13 12 54.1 21.6V 459870 G96 C~0zFY 2014 01 04.13580 03 37 44.70 +13 12 53.6 21.5R 459870 291 C~0zFY 2014 01 04.13614 03 37 44.75 +13 12 53.5 20.9V 459870 G96 C~0zFY 2014 01 04.18455 03 37 43.17 +13 12 48.1 21.9R 459870 926 C~0zFY 2014 01 04.19896 03 37 42.66 +13 12 46.6 21.0R 459870 926 C~0zFY 2014 01 07.08109 03 36 12.81 +13 07 32.1 22. V 459870 711 C~0zFY 2014 01 07.08609 03 36 12.66 +13 07 31.3 459870 711 C~0zFY 2014 01 07.09103 03 36 12.49 +13 07 30.9 459870 711 C~0zFY 2014 01 07.09598 03 36 12.36 +13 07 30.4 459870 711 C~0zFY 2014 01 07.11481 03 36 11.83 +13 07 28.2 21.4V 459870 G96 C~0zFY 2014 01 07.12004 03 36 11.68 +13 07 27.5 21.5V 459870 G96 C~0zFY 2014 01 07.12526 03 36 11.49 +13 07 26.7 20.8V 459870 G96 C~0zFY 2014 09 22.32731 03 38 27.52 +10 21 46.6 20.9R 459870 H36 C~19zs 2014 09 22.34785 03 38 26.91 +10 21 41.9 21.2R 459870 H36 C~19zs 2014 09 22.40079 03 38 25.40 +10 21 30.9 21.0R 459870 H36 C~19zs 2014 09 22.41554 03 38 24.98 +10 21 28.0 20.9R 459870 H36 C~19zs 2014 09 26.38063 03 36 26.17 +10 07 20.3 21.0R 459870 H36 C~19zs 2014 09 26.39858 03 36 25.53 +10 07 16.0 20.9R 459870 H36 C~19zs 2014 10 25.51723 03 17 46.674 +08 11 34.45 20.8w 459870 F51 C~1BSD 2014 10 25.55609 03 17 44.931 +08 11 24.90 21.0w 459870 F51 C~1BSD 2014 11 29.26207 02 51 14.273 +05 54 59.76 20.4i 459870 F51 C~1DO3 2014 11 29.28453 02 51 13.288 +05 54 55.23 20.5i 459870 F51 C~1DO3 2014 11 29.29574 02 51 12.756 +05 54 52.91 20.3i 459870 F51 C~1DO3 2015 01 16.22206 02 25 09.825 +04 13 17.13 21.2w 459870 F51 C~1GmD 2015 01 16.23435 02 25 09.587 +04 13 16.62 21.1w 459870 F51 C~1GmD 2015 01 16.24659 02 25 09.347 +04 13 16.09 21.2w 459870 F51 C~1GmD 2015 01 16.25879 02 25 09.112 +04 13 15.67 21.1w 459870 F51 C~1GmD 2015 10 13.40771 02 07 37.363 -01 45 09.74 20.5w 459870 F51 C~1Yeo 2015 10 13.42185 02 07 36.651 -01 45 14.66 20.7w 459870 F51 C~1Yeo 2015 10 13.45010 02 07 35.232 -01 45 24.28 20.6w 459870 F51 C~1Yeo 2015 11 08.30743 01 45 45.967 -03 59 01.68 21.0w 459870 F51 C~1cI8 2015 11 08.31837 01 45 45.417 -03 59 04.65 20.6w 459870 F51 C~1cI8 2015 11 08.32936 01 45 44.907 -03 59 07.49 20.6w 459870 F51 C~1cI8 2015 11 08.34039 01 45 44.310 -03 59 10.22 20.7w 459870 F51 C~1cI8 2015 12 01.29904 01 28 33.035 -05 21 10.06 20.8w 459870 F51 C~1eOE 2015 12 01.31099 01 28 32.565 -05 21 12.09 20.8w 459870 F51 C~1eOE 2015 12 01.32296 01 28 32.084 -05 21 13.96 20.9w 459870 F51 C~1eOE 2015 12 01.33491 01 28 31.611 -05 21 15.75 20.9w 459870 F51 C~1eOE 2016 01 03.22182 01 12 45.422 -06 05 04.35 21.4w 459870 F51 C~1hVn 2016 01 03.24267 01 12 45.033 -06 05 04.53 21.3w 459870 F51 C~1hVn 2016 01 03.25308 01 12 44.844 -06 05 04.46 21.4w 459870 F51 C~1hVn 2016 09 09.33909 01 01 23.19 -11 10 12.3 20.1V 459870 G96 C~1yFk 2016 09 09.34215 01 01 23.06 -11 10 13.7 20.0V 459870 G96 C~1yFk 2016 09 09.34517 01 01 22.88 -11 10 15.0 20.2V 459870 G96 C~1yFk 2016 09 09.34818 01 01 22.74 -11 10 16.5 20.1V 459870 G96 C~1yFk 2016 10 01.25432 00 41 33.56 -13 36 17.0 20.4V 459870 691 C~1zND 2016 10 01.26353 00 41 33.07 -13 36 20.6 20.3V 459870 691 C~1zND 2016 10 01.27277 00 41 32.54 -13 36 24.0 20.4V 459870 691 C~1zND 2016 10 02.25545 00 40 36.72 -13 42 24.6 20.3V 459870 691 C~1zND 2016 10 02.26292 00 40 36.32 -13 42 27.4 20.6V 459870 691 C~1zND 2016 10 02.27041 00 40 35.88 -13 42 30.2 20.7V 459870 691 C~1zND 2016 10 25.34857 00 19 17.945 -15 40 21.67 20.7w 459870 F51 C~20nd 2016 10 25.36130 00 19 17.278 -15 40 24.76 20.7w 459870 F51 C~20nd 2016 10 25.37408 00 19 16.601 -15 40 27.87 20.6w 459870 F51 C~20nd 2016 10 25.38685 00 19 15.935 -15 40 30.84 20.6w 459870 F51 C~20nd 2016 11 20.07245 00 00 05.39 -16 48 44.1 20.8G 459870 G45 C~5fP5 2016 11 20.14081 00 00 02.87 -16 48 50.6 20.7G 459870 G45 C~5fP5 2016 11 20.17202 00 00 01.74 -16 48 51.3 20.9G 459870 G45 C~5fP5 2016 11 20.20494 00 00 00.54 -16 48 53.8 20.2G 459870 G45 C~5fP5 2018 06 11.56061 22 24 27.604 -24 08 19.35 20.9w 459870 F51 C~2g2U 2018 06 11.58126 22 24 26.998 -24 08 24.83 21.0w 459870 F51 C~2g2U 2018 06 11.59155 22 24 26.683 -24 08 27.81 21.1w 459870 F51 C~2g2U 2019 06 29.46254 20 15 25.313 -29 26 22.75 20.7w 459870 F51 C~39fb 2019 06 29.47371 20 15 24.670 -29 26 24.24 20.5w 459870 F51 C~39fb 2019 06 29.48493 20 15 24.035 -29 26 26.01 21.0w 459870 F51 C~39fb 2019 06 29.49609 20 15 23.372 -29 26 27.83 20.6w 459870 F51 C~39fb 2019 08 05.97821 19 37 45.78 -30 31 16.1 21.3g 459870 W84 C~46dR 2019 08 05.98548 19 37 45.41 -30 31 16.2 20.8r 459870 W84 C~499E 2019 08 05.99276 19 37 44.94 -30 31 16.7 459870 W84 C~46dR 2019 08 06.00006 19 37 44.54 -30 31 16.9 459870 W84 C~499E 2019 08 06.00734 19 37 44.12 -30 31 17.3 459870 W84 C~46dR 2019 08 06.01463 19 37 43.69 -30 31 17.4 459870 W84 C~499E 2019 08 06.02192 19 37 43.30 -30 31 17.8 459870 W84 C~46dR 2019 08 06.02919 19 37 42.85 -30 31 18.1 459870 W84 C~499E 2019 08 06.98437 19 36 47.57 -30 31 53.8 459870 W84 C~46dR 2019 08 06.99165 19 36 47.16 -30 31 54.1 459870 W84 C~499E 2019 08 07.01356 19 36 45.89 -30 31 55.0 459870 W84 C~46dR 2019 08 07.02083 19 36 45.47 -30 31 55.0 459870 W84 C~499E 2021 07 28.304591 16 56 07.289 -21 59 47.53 21.7w 459870 F51 C~4xJT 2021 07 28.316041 16 56 06.943 -21 59 46.67 21.7w 459870 F51 C~4xJT 2021 07 28.327500 16 56 06.604 -21 59 45.72 21.6w 459870 F51 C~4xJT 2021 07 28.339013 16 56 06.237 -21 59 45.00 21.6w 459870 F51 C~4xJT
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 -0.20 0.00 -0.14
2 0.0000 0.00 0.08 0.00 -0.06
3 0.0000 0.00 -0.22 0.00 -0.18
4 0.0000 0.00 -0.09 0.00 -0.00
5 0.0000 0.00 -0.40 0.00 -0.12
6 0.0000 0.00 -0.11 0.00 -0.14
7 1.0377 0.00 -0.20 0.00 -0.00
8 1.0377 0.00 0.75 0.00 -0.76
9 1.0377 0.00 -0.12 0.00 -0.22
10 1.0377 0.00 0.21 0.00 -0.18
11 1.9279 0.00 0.14 0.00 -0.20
12 1.9280 0.00 0.10 0.00 -0.03
13 1.9280 0.00 -0.02 0.00 -0.07
14 1.9281 0.00 0.31 0.00 -0.10
15 2.0317 0.00 0.52 0.00 -0.00
16 2.0317 0.00 0.39 0.00 0.30
17 2.0317 0.00 0.31 0.00 0.11
18 2.0317 0.00 -0.13 0.00 0.64
19 2.0341 0.00 -0.47 0.00 0.23
20 2.0341 0.00 -0.82 0.00 0.52
21 2.0341 0.00 -0.69 0.00 -0.61
22 2.0342 0.00 0.18 0.00 0.02
23 2.0342 0.00 -0.33 0.00 0.13
24 2.0342 0.00 0.60 0.00 0.07
25 2.0343 0.00 0.39 0.00 0.08
26 2.0344 0.00 -0.27 0.00 0.20
27 2.0422 0.00 -0.49 0.00 0.25
28 2.0423 0.00 -0.42 0.00 -0.03
29 2.0423 0.00 -0.69 0.00 0.10
30 2.0423 0.00 -0.35 0.00 0.12
31 2.0423 0.00 0.30 0.00 -0.05
32 2.0424 0.00 0.47 0.00 -0.20
33 2.0424 0.00 0.03 0.00 -0.45
34 2.7493 0.00 0.26 0.00 0.16
35 2.7493 0.00 0.08 0.00 -0.24
36 2.7495 0.00 0.59 0.00 -0.15
37 2.7495 0.00 0.75 0.00 0.05
38 2.7604 0.00 0.51 0.00 0.14
39 2.7604 0.00 -0.60 0.00 -0.25
40 2.8402 0.00 0.14 0.00 -0.06
41 2.8403 0.00 0.11 0.00 0.14
42 2.9353 0.00 0.27 0.00 0.06
43 2.9353 0.00 0.44 0.00 0.11
44 2.9354 0.00 -0.07 0.00 0.08
45 3.0666 0.00 -0.03 0.00 -0.08
46 3.0666 0.00 -0.04 0.00 -0.02
47 3.0667 0.00 -0.10 0.00 0.02
48 3.0667 0.00 -0.10 0.00 0.16
49 3.8063 0.00 0.09 0.00 0.16
50 3.8064 0.00 0.08 0.00 0.05
51 3.8064 0.00 0.12 0.00 0.04
52 3.8772 0.00 -0.01 0.00 -0.25
53 3.8773 0.00 -0.08 0.00 -0.29
54 3.8773 0.00 0.50 0.00 -0.19
55 3.8773 0.00 -0.20 0.00 0.03
56 3.9402 0.00 -0.02 0.00 0.11
57 3.9402 0.00 0.07 0.00 -0.03
58 3.9402 0.00 0.00 0.00 -0.01
59 3.9403 0.00 0.04 0.00 0.09
60 4.0303 0.00 0.08 0.00 0.06
61 4.0304 0.00 -0.00 0.00 0.07
62 4.0304 0.00 0.04 0.00 0.23
63 4.7151 0.00 -0.03 0.00 0.22
64 4.7151 0.00 0.35 0.00 0.10
65 4.7151 0.00 -0.05 0.00 0.06
66 4.7151 0.00 0.14 0.00 -0.19
67 4.7751 0.00 -0.88 0.00 0.12
68 4.7751 0.00 -0.31 0.00 -0.07
69 4.7751 0.00 -0.32 0.00 -0.06
70 4.7778 0.00 -0.58 0.00 0.03
71 4.7779 0.00 -0.15 0.00 -0.04
72 4.7779 0.00 -0.31 0.00 -0.10
73 4.8411 0.00 -0.13 0.00 0.10
74 4.8411 0.00 -0.08 0.00 0.07
75 4.8411 0.00 -0.13 0.00 0.02
76 4.8412 0.00 -0.03 0.00 0.11
77 4.9115 0.00 -0.20 0.00 -0.30
78 4.9117 0.00 -0.25 0.00 -1.20
79 4.9118 0.00 0.03 0.00 0.63
80 4.9119 0.00 0.17 0.00 0.78
81 6.4679 0.00 0.39 0.00 0.09
82 6.4680 0.00 0.35 0.00 -0.00
83 6.4680 0.00 0.14 0.00 -0.30
84 7.5163 0.00 0.14 0.00 -0.22
85 7.5163 0.00 0.15 0.00 0.06
86 7.5163 0.00 0.34 0.00 0.06
87 7.5163 0.00 0.05 0.00 -0.00
88 7.6190 0.00 -0.52 0.00 -0.14
89 7.6190 0.00 0.30 0.00 0.07
90 7.6190 0.00 -0.38 0.00 -0.12
91 7.6190 0.00 0.02 0.00 -0.01
92 7.6190 0.00 0.10 0.00 -0.11
93 7.6191 0.00 0.05 0.00 0.10
94 7.6191 0.00 0.59 0.00 0.00
95 7.6191 0.00 0.22 0.00 0.01
96 7.6217 0.00 -0.27 0.00 -0.27
97 7.6217 0.00 -0.09 0.00 -0.29
98 7.6218 0.00 -0.06 0.00 -0.35
99 7.6218 0.00 -0.03 0.00 -0.07
100 9.5966 0.00 -0.13 0.00 0.17
101 9.5966 0.00 -0.09 0.00 0.11
102 9.5966 0.00 0.04 0.00 0.12
103 9.5967 0.00 -0.21 0.00 -0.09
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.
459870 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 10.913 10.913 10.913 ecceobj 0.399 0.399 0.399 incobj 165.565 165.565 165.565 qmin 6.241 6.241 6.241 qmax 15.575 15.576 15.575 amean 10.919 10.919 10.919 amin 10.900 10.900 10.900 amax 10.942 10.943 10.942 emean 0.416 0.416 0.416 emin 0.391 0.391 0.391 emax 0.427 0.427 0.427 imean 169.036 169.035 169.037 imin 166.978 166.978 166.978 imax 170.175 170.174 170.177 excite_mean 0.458 0.458 0.458 fracstop 0.001 0.001 0.001 cjmean 1.682 1.682 1.682 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 210.2 210.2 210.2 kozaiamp 172.9 172.9 172.9