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: 21DR15
# Created Sun Nov 24 02:11:06 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 21 observations of 21
# Arc: 16.74y
# First observation: 2005/03/10
# Last observation: 2021/12/06
# Chi-squared of fit: 15.95 DOF: 36 RMS: 0.15
# Min/Max residuals: -0.34 0.33
# Exact a, adot, b, bdot, g, gdot:
7.790912E-06 5.439653E-03 -4.048040E-06 -3.150817E-03 1.166988E-02 2.236428E-03
# Covariance matrix:
5.3048E-13 -9.0088E-14 -6.5326E-14 3.5215E-14 -2.0281E-13 -6.9333E-13
-9.0088E-14 2.7356E-14 2.4593E-14 -1.3585E-14 5.1153E-14 2.6807E-13
-6.5326E-14 2.4593E-14 3.5201E-13 -3.7088E-14 5.1197E-14 2.6208E-13
3.5215E-14 -1.3585E-14 -3.7088E-14 9.5805E-15 -2.6148E-14 -1.4521E-13
-2.0281E-13 5.1153E-14 5.1197E-14 -2.6148E-14 2.7038E-13 5.1215E-13
-6.9333E-13 2.6807E-13 2.6208E-13 -1.4521E-13 5.1215E-13 2.8660E-12
# lat0 lon0 xBary yBary zBary JD0
4.998474 145.430820 -0.405941 0.078674 -0.898471 2453439.771654
# Heliocentric elements and errors
Epoch: 2453440.5000 = 2005/03/11
Mean Anomaly: 112.45634 +/- 0.030
Argument of Peri: 22.42688 +/- 0.019
Long of Asc Node: 334.19299 +/- 0.000
Inclination: 30.37608 +/- 0.000
Eccentricity: 0.42726651 +/- 0.0001
Semi-Major Axis: 67.65083048 +/- 0.0074
Time of Perihelion: 2389952.8017 +/- 19.7
Perihelion: 38.74589646 +/- 0.0084
Aphelion: 96.55576451 +/- 0.0129
Period (y) 556.4394 +/- 0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -71.27063904 +/- 0.0032
Ecliptic Y 48.61280394 +/- 0.0021
Ecliptic Z 7.46582954 +/- 0.0003
Ecliptic XDOT -0.00120747 +/- 0.0000
Ecliptic YDOT -0.00072489 +/- 0.0000
Ecliptic ZDOT -0.00069062 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 86.59331485 +/- 0.0029
Geocenter to KBO 85.69044998 +/- 0.0038
# Hcoef: 3.52
The following table shows the complete astrometric record for 21DR15. 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 (21DR15) followed by the observatory code and reference code for the source of the astrometry.
2005 03 10.270911 09 57 50.76 +17 44 41.8 22.6r 21DR15 645 C~5WCx 2005 03 10.271740 09 57 50.76 +17 44 42.1 22.5i 21DR15 645 C~5WCx 2005 12 06.478940 10 02 00.36 +17 12 03.2 23.0r 21DR15 645 C~5WCx 2005 12 06.482257 10 02 00.37 +17 12 03.3 23.3g 21DR15 645 C~5WCx 2013 04 30.035817 10 03 57.41 +15 38 07.4 23.4g 21DR15 W84 C~5WCx 2013 04 30.043112 10 03 57.40 +15 38 07.6 23.4g 21DR15 W84 C~5WCx 2016 01 17.244632 10 10 11.07 +14 35 17.5 23.6g 21DR15 W84 C~5WCx 2016 01 17.245846 10 10 11.08 +14 35 17.4 22.8r 21DR15 W84 C~5WCx 2016 02 29.265745 10 08 29.01 +14 43 36.5 22.7z 21DR15 W84 C~5WCx 2016 02 29.270989 10 08 29.01 +14 43 36.7 22.7z 21DR15 W84 C~5WCx 2017 03 29.052341 10 08 19.10 +14 32 07.1 22.8r 21DR15 W84 C~5WCx 2018 03 17.165605 10 09 37.78 +14 14 28.8 23.4g 21DR15 W84 C~5WCx 2018 03 18.141881 10 09 35.63 +14 14 38.2 23.1r 21DR15 W84 C~5WCx 2019 03 07.209111 10 10 54.20 +13 56 52.2 23.0i 21DR15 W84 C~5WCx 2021 02 17.28970 10 13 20.863 +13 21 55.80 22.8r 21DR15 568 C~5Jzg 2021 02 17.35720 10 13 20.694 +13 21 56.74 22.7r 21DR15 568 C~5Jzg 2021 04 06.99144 10 11 33.799 +13 29 52.67 23.2r 21DR15 304 C~5Jzg 2021 04 08.99105 10 11 30.559 +13 30 04.69 23.2r 21DR15 304 C~5Jzg 2021 04 13.19509 10 11 24.133 +13 30 27.38 23.0r 21DR15 304 C~5Jzg 2021 12 02.33674 10 16 17.730 +12 55 36.25 22.9r 21DR15 304 C~5Jzg 2021 12 06.33769 10 16 16.432 +12 55 42.53 23.0r 21DR15 304 C~5Jzg
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 -0.01
2 0.0000 0.00 -0.07 0.00 0.28
3 0.7425 0.00 0.09 0.00 -0.13
4 0.7425 0.00 0.28 0.00 -0.04
5 8.1390 0.00 0.05 0.00 -0.21
6 8.1390 0.00 -0.01 0.00 -0.01
7 10.8555 0.00 -0.34 0.00 0.10
8 10.8555 0.00 -0.16 0.00 -0.01
9 10.9733 0.00 -0.14 0.00 -0.28
10 10.9733 0.00 0.05 0.00 -0.13
11 12.0514 0.00 -0.10 0.00 0.22
12 13.0182 0.00 -0.03 0.00 0.04
13 13.0209 0.00 0.03 0.00 0.29
14 13.9902 0.00 -0.08 0.00 0.01
15 15.9426 0.00 -0.12 0.00 -0.06
16 15.9427 0.00 -0.14 0.00 0.07
17 16.0759 0.00 0.10 0.00 -0.09
18 16.0814 0.00 0.33 0.00 -0.10
19 16.0929 0.00 0.12 0.00 -0.05
20 16.7312 0.00 -0.07 0.00 0.08
21 16.7421 0.00 0.31 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.
21DR15 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 67.544 67.544 67.544 ecceobj 0.435 0.435 0.435 incobj 30.580 30.580 30.580 qmin 36.519 36.516 36.538 qmax 100.059 99.978 100.098 amean 67.502 67.511 67.502 amin 66.706 66.706 66.692 amax 68.648 68.644 68.648 emean 0.440 0.440 0.440 emin 0.421 0.421 0.421 emax 0.458 0.458 0.458 imean 31.129 31.131 31.127 imin 30.591 30.600 30.595 imax 31.903 31.892 31.900 excite_mean 0.679 0.679 0.679 fracstop 1.000 1.000 1.000 cjmean 2.747 2.747 2.747 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 164.0 163.7 164.0 kozaiamp 140.5 140.1 140.5