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: 20BG60
# Created Sat Apr 27 01:18:33 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 47 observations of 47
# Arc: 7.71y
# First observation: 2013/05/03
# Last observation: 2021/01/18
# Chi-squared of fit: 57.42 DOF: 88 RMS: 0.20
# Min/Max residuals: -0.46 0.50
# Exact a, adot, b, bdot, g, gdot:
2.276773E-05 7.048493E-02 8.871996E-06 2.708209E-02 4.799678E-02 1.130508E-04
# Covariance matrix:
3.7260E-13 -1.2836E-13 7.8080E-14 -4.0434E-14 -1.1429E-13 -1.6338E-13
-1.2836E-13 6.4263E-14 -3.7399E-14 2.2234E-14 2.1554E-14 8.3339E-14
7.8080E-14 -3.7399E-14 1.4156E-13 -3.4096E-14 -2.6479E-14 -5.4272E-14
-4.0434E-14 2.2234E-14 -3.4096E-14 1.2672E-14 8.3052E-15 3.1010E-14
-1.1429E-13 2.1554E-14 -2.6479E-14 8.3052E-15 1.0137E-13 4.5818E-14
-1.6338E-13 8.3339E-14 -5.4272E-14 3.1010E-14 4.5818E-14 1.1871E-13
# lat0 lon0 xBary yBary zBary JD0
3.142014 102.535906 -0.871832 -0.027943 0.509618 2456415.764543
# Heliocentric elements and errors
Epoch: 2456416.5000 = 2013/05/04
Mean Anomaly: 5.96228 +/- 0.001
Argument of Peri: 357.91312 +/- 0.001
Long of Asc Node: 96.61829 +/- 0.000
Inclination: 21.10661 +/- 0.000
Eccentricity: 0.28194882 +/- 0.0000
Semi-Major Axis: 28.21960053 +/- 0.0012
Time of Perihelion: 2455509.6524 +/- 0.1
Perihelion: 20.26311758 +/- 0.0011
Aphelion: 36.17608348 +/- 0.0016
Period (y) 149.9113 +/- 0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -5.25561596 +/- 0.0000
Ecliptic Y 19.62244196 +/- 0.0001
Ecliptic Z 1.14218437 +/- 0.0000
Ecliptic XDOT -0.00391412 +/- 0.0000
Ecliptic YDOT -0.00094895 +/- 0.0000
Ecliptic ZDOT 0.00154300 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 20.34614030 +/- 0.0001
Geocenter to KBO 20.83476613 +/- 0.0001
# Hcoef: 9.96
The following table shows the complete astrometric record for 20BG60. 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 (20BG60) followed by the observatory code and reference code for the source of the astrometry.
2013 05 03.263765 06 55 48.071 +25 58 34.52 23.8G 20BG60 F51 C~4Zh2 2013 12 04.433030 07 25 24.671 +26 20 45.11 22.6G 20BG60 F51 C~4Zh2 2013 12 04.446985 07 25 24.548 +26 20 45.10 22.5G 20BG60 F51 C~4Zh2 2014 01 24.302169 07 17 12.977 +26 51 53.21 23.2G 20BG60 F51 C~4Zh2 2014 01 24.313425 07 17 12.851 +26 51 53.50 23.3G 20BG60 F51 C~4Zh2 2014 12 26.552741 07 42 25.066 +27 29 55.66 23.3G 20BG60 F51 C~4Zh2 2014 12 26.565096 07 42 24.976 +27 29 55.85 23.6G 20BG60 F51 C~4Zh2 2015 01 22.297652 07 37 53.043 +27 47 58.85 22.6G 20BG60 F51 C~4Zh2 2015 01 22.309524 07 37 52.921 +27 47 59.43 22.3G 20BG60 F51 C~4Zh2 2015 01 22.321427 07 37 52.819 +27 47 59.72 22.8G 20BG60 F51 C~4Zh2 2015 01 22.333331 07 37 52.678 +27 48 00.38 22.1G 20BG60 F51 C~4Zh2 2016 01 14.506971 07 59 39.218 +28 27 58.35 22.8G 20BG60 F51 C~4Zh2 2016 01 14.520522 07 59 39.083 +28 27 58.87 22.3G 20BG60 F51 C~4Zh2 2016 01 14.534081 07 59 38.944 +28 27 59.56 22.6G 20BG60 F51 C~4Zh2 2016 02 04.319023 07 56 08.338 +28 41 27.87 22.6G 20BG60 F51 C~4Zh2 2016 02 04.331101 07 56 08.248 +28 41 28.15 22.5G 20BG60 F51 C~4Zh2 2016 02 09.300388 07 55 21.212 +28 44 01.66 22.9G 20BG60 F51 C~4Zh2 2016 03 31.274270 07 50 51.051 +28 53 02.16 23.1G 20BG60 F51 C~4Zh2 2017 02 21.287878 08 13 47.014 +29 25 27.64 23.2G 20BG60 F51 C~4Zh2 2017 02 21.299528 08 13 46.938 +29 25 27.56 23.4G 20BG60 F51 C~4Zh2 2017 02 21.311240 08 13 46.823 +29 25 28.15 23.1G 20BG60 F51 C~4Zh2 2017 02 21.323030 08 13 46.703 +29 25 28.28 23.0G 20BG60 F51 C~4Zh2 2017 12 13.476142 08 44 22.160 +28 52 02.28 22.4G 20BG60 F51 C~4Zh2 2017 12 13.499992 08 44 21.978 +28 52 03.52 23.5G 20BG60 F51 C~4Zh2 2017 12 13.511978 08 44 21.935 +28 52 03.97 23.1G 20BG60 F51 C~4Zh2 2018 01 11.557912 08 40 33.792 +29 20 21.63 22.9G 20BG60 F51 C~4Zh2 2018 01 11.569541 08 40 33.693 +29 20 21.72 22.5G 20BG60 F51 C~4Zh2 2018 01 11.581192 08 40 33.572 +29 20 23.18 24.2G 20BG60 F51 C~4Zh2 2018 01 11.592838 08 40 33.458 +29 20 23.71 22.8G 20BG60 F51 C~4Zh2 2019 01 08.419449 09 00 55.582 +29 26 47.05 23.1G 20BG60 F51 C~4Zh2 2019 01 08.431719 09 00 55.478 +29 26 47.88 23.3G 20BG60 F51 C~4Zh2 2019 01 08.443976 09 00 55.384 +29 26 48.44 23.1G 20BG60 F51 C~4Zh2 2019 11 07.629192 09 23 03.141 +28 27 40.75 23.5G 20BG60 F51 C~4Zh2 2019 12 04.586115 09 23 24.818 +28 48 31.10 23.0G 20BG60 F51 C~4Zh2 2020 01 24.36970 09 18 03.924 +29 42 06.07 23.0r 20BG60 568 C~4Zh2 2020 01 24.60697 09 18 01.657 +29 42 20.39 22.9r 20BG60 568 C~4Zh2 2020 01 31.412596 09 16 56.564 +29 48 52.12 23.6G 20BG60 F51 C~4Zh2 2020 02 25.411568 09 12 57.601 +30 07 36.30 22.9G 20BG60 568 C~4Zh2 2020 02 25.497173 09 12 56.832 +30 07 39.30 23.0G 20BG60 568 C~4Zh2 2020 03 24.320785 09 09 32.370 +30 15 45.77 23.2G 20BG60 568 C~4Zh2 2020 03 24.391840 09 09 31.973 +30 15 45.91 23.2G 20BG60 568 C~4Zh2 2020 12 23.500565 09 40 51.567 +28 56 49.79 23.4G 20BG60 F51 C~4Zh2 2020 12 23.511810 09 40 51.511 +28 56 50.24 22.8G 20BG60 F51 C~4Zh2 2020 12 23.522853 09 40 51.457 +28 56 51.19 23.0G 20BG60 F51 C~4Zh2 2020 12 23.533998 09 40 51.427 +28 56 51.67 22.6G 20BG60 F51 C~4Zh2 2021 01 17.25497 09 38 04.603 +29 24 49.01 23.1r 20BG60 304 C~4Zh2 2021 01 18.25228 09 37 56.204 +29 25 55.27 23.0r 20BG60 304 C~4Zh2
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 0.10 0.00 0.00
2 0.5891 0.00 0.28 0.00 0.23
3 0.5891 0.00 0.04 0.00 -0.34
4 0.7284 0.00 -0.01 0.00 0.16
5 0.7284 0.00 -0.20 0.00 0.11
6 1.6490 0.00 -0.28 0.00 0.33
7 1.6490 0.00 0.17 0.00 -0.02
8 1.7222 0.00 -0.20 0.00 -0.25
9 1.7222 0.00 -0.18 0.00 -0.10
10 1.7223 0.00 0.14 0.00 -0.24
11 1.7223 0.00 -0.12 0.00 -0.01
12 2.7002 0.00 -0.04 0.00 -0.14
13 2.7002 0.00 0.06 0.00 -0.21
14 2.7003 0.00 0.10 0.00 -0.12
15 2.7572 0.00 -0.43 0.00 0.09
16 2.7572 0.00 0.01 0.00 -0.03
17 2.7708 0.00 0.06 0.00 -0.26
18 2.9104 0.00 0.12 0.00 0.02
19 3.8057 0.00 0.06 0.00 0.10
20 3.8057 0.00 0.39 0.00 -0.26
21 3.8057 0.00 0.14 0.00 0.06
22 3.8058 0.00 -0.17 0.00 -0.09
23 4.6139 0.00 0.16 0.00 0.50
24 4.6139 0.00 -0.46 0.00 0.34
25 4.6140 0.00 -0.05 0.00 0.09
26 4.6935 0.00 -0.04 0.00 0.24
27 4.6935 0.00 0.16 0.00 -0.32
28 4.6935 0.00 0.03 0.00 0.50
29 4.6936 0.00 0.01 0.00 0.38
30 5.6842 0.00 0.00 0.00 0.01
31 5.6842 0.00 0.06 0.00 0.07
32 5.6843 0.00 0.27 0.00 -0.13
33 6.5143 0.00 0.19 0.00 0.08
34 6.5882 0.00 0.22 0.00 -0.23
35 6.7272 0.00 0.02 0.00 -0.07
36 6.7278 0.00 0.10 0.00 0.10
37 6.7465 0.00 -0.35 0.00 -0.38
38 6.8149 0.00 -0.19 0.00 -0.14
39 6.8151 0.00 0.03 0.00 0.09
40 6.8913 0.00 0.00 0.00 -0.03
41 6.8915 0.00 -0.09 0.00 0.01
42 7.6420 0.00 -0.13 0.00 0.10
43 7.6420 0.00 -0.13 0.00 -0.20
44 7.6421 0.00 -0.11 0.00 0.01
45 7.6421 0.00 0.28 0.00 -0.26
46 7.7098 0.00 0.17 0.00 -0.00
47 7.7125 0.00 -0.11 0.00 0.13
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.
20BG60 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 28.264 28.264 28.265 ecceobj 0.282 0.282 0.282 incobj 21.116 21.116 21.116 qmin 20.116 20.149 20.044 qmax 36.223 40.936 36.224 amean 27.951 30.083 27.451 amin 27.624 27.924 26.466 amax 28.296 30.996 28.265 emean 0.264 0.225 0.260 emin 0.248 0.073 0.236 emax 0.282 0.321 0.282 imean 20.362 21.876 20.000 imin 19.568 18.721 19.568 imax 21.042 25.449 20.307 excite_mean 0.437 0.444 0.430 fracstop 0.017 0.096 0.006 cjmean 2.816 2.794 2.827 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 33.5 114.9 44.6 kozaiamp 179.4 179.4 179.4