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: 456826 # Created Fri Nov 22 02:07:06 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 40 observations of 40 # Arc: 13.37y # First observation: 2007/10/03 # Last observation: 2021/02/15 # Chi-squared of fit: 62.16 DOF: 74 RMS: 0.22 # Min/Max residuals: -0.77 0.59 # Exact a, adot, b, bdot, g, gdot: 1.922219E-05 4.449772E-02 6.588561E-06 1.759951E-02 3.596071E-02 1.392390E-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 -20.236826 56.592827 0.727556 -0.238347 -0.646761 2454376.982604 # Heliocentric elements and errors Epoch: 2454376.5000 = 2007/10/03 Mean Anomaly: 1.31019 +/- 0.000 Argument of Peri: 312.64190 +/- 0.000 Long of Asc Node: 96.28734 +/- 0.000 Inclination: 28.57132 +/- 0.000 Eccentricity: 0.27410769 +/- 0.0000 Semi-Major Axis: 39.20093988 +/- 0.0000 Time of Perihelion: 2454050.2322 +/- 0.0 Perihelion: 28.45566074 +/- 0.0000 Aphelion: 49.94621903 +/- 0.0000 Period (y) 245.4443 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 15.35134980 +/- 0.0000 Ecliptic Y 21.95098302 +/- 0.0000 Ecliptic Z -9.61869684 +/- 0.0000 Ecliptic XDOT -0.00251183 +/- 0.0000 Ecliptic YDOT 0.00233385 +/- 0.0000 Ecliptic ZDOT 0.00122045 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 28.46100188 +/- 0.0000 Geocenter to KBO 27.80813441 +/- 0.0000 # Hcoef: 7.57
The following table shows the complete astrometric record for 456826. 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 (456826) followed by the observatory code and reference code for the source of the astrometry.
2007 10 03.48185 03 55 34.82 -00 19 56.3 23.2 456826 705 cx9533 2007 10 03.48268 03 55 34.81 -00 19 56.5 24.7 456826 705 cx9533 2007 10 09.46669 03 55 09.91 -00 23 23.9 22.5 456826 705 cx9533 2007 10 09.47001 03 55 09.89 -00 23 24.3 23.5 456826 705 cx9533 2007 10 12.48432 03 54 55.89 -00 25 06.0 22.6 456826 705 cx9533 2007 10 12.48764 03 54 55.87 -00 25 06.0 23.6 456826 705 cx9534 2007 10 19.48034 03 54 19.95 -00 28 51.7 22.6 456826 705 cx9534 2007 10 19.48366 03 54 19.92 -00 28 52.0 23.7 456826 705 cx9534 2007 10 20.48625 03 54 14.45 -00 29 22.7 22.8 456826 705 cx9534 2007 10 20.48708 03 54 14.41 -00 29 22.7 24.2 456826 705 cx9534 2007 11 02.38945 03 52 56.74 -00 35 20.1 22.5 456826 705 cx9534 2007 11 02.39277 03 52 56.70 -00 35 20.4 23.7 456826 705 cx9534 2007 11 05.39406 03 52 37.16 -00 36 30.7 22.5 456826 705 cx9534 2007 11 05.39738 03 52 37.14 -00 36 30.7 23.4 456826 705 cx9534 2007 11 11.40057 03 51 56.78 -00 38 34.5 22.6 456826 705 cx9534 2007 11 11.40389 03 51 56.75 -00 38 34.8 23.7 456826 705 cx9534 2007 11 14.38876 03 51 36.26 -00 39 26.6 22.5 456826 705 cx9534 2007 11 14.39208 03 51 36.22 -00 39 26.9 23.5 456826 705 cx9534 2007 11 18.39301 03 51 08.44 -00 40 26.8 22.5 456826 705 cx9534 2007 11 18.39384 03 51 08.44 -00 40 26.6 23.1 456826 705 cx9534 2007 11 20.32890 03 50 54.94 -00 40 51.1 22.9 456826 705 cx9534 2007 11 20.32973 03 50 54.94 -00 40 51.2 24.3 456826 705 cx9534 2007 11 20.329816 03 50 54.94 -00 40 51.1 21.6V 456826 645 C~2LP9 2007 11 20.332304 03 50 54.95 -00 40 51.2 23.3V 456826 645 C~2LP9 2008 12 01.35288 03 58 41.25 +00 51 03.6 22.0R 456826 688 C~02eZ 2008 12 01.39762 03 58 40.93 +00 51 03.3 456826 688 C~02eZ 2008 12 21.31378 03 56 30.71 +00 52 54.0 21.6r 456826 695 C~02eZ 2008 12 21.38686 03 56 30.29 +00 52 54.8 21.4r 456826 695 C~02eZ 2008 12 22.30790 03 56 24.82 +00 53 08.4 21.5r 456826 695 C~02eZ 2010 10 09.38939 04 22 20.46 +04 12 50.8 22.1R 456826 688 C~0NlL 2010 10 09.46384 04 22 20.16 +04 12 48.9 456826 688 C~0NlL 2011 01 10.15747 04 12 57.05 +04 03 54.2 21.3R 456826 695 C~0U4W 2011 01 10.18324 04 12 56.93 +04 03 55.5 456826 695 C~0U4W 2011 01 10.35638 04 12 56.15 +04 03 59.9 456826 695 C~0U4W 2016 01 03.12980 04 59 12.53 +11 27 08.8 21.0R 456826 W67 C~1jh0 2016 01 03.24225 04 59 11.84 +11 27 10.2 20.9R 456826 W67 C~1jh0 2016 01 04.13736 04 59 06.24 +11 27 22.6 21.5R 456826 W67 C~1jh0 2016 01 04.20083 04 59 05.81 +11 27 23.0 21.0R 456826 W67 C~1jh0 2021 02 15.212260 05 41 29.577 +18 22 53.28 21.9G 456826 G37 C~4fAf 2021 02 15.265950 05 41 29.429 +18 22 53.88 456826 G37 C~4fAf
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 0.25
2 0.0000 0.00 -0.08 0.00 0.08
3 0.0164 0.00 -0.02 0.00 0.17
4 0.0164 0.00 -0.10 0.00 -0.12
5 0.0246 0.00 0.04 0.00 -0.09
6 0.0247 0.00 -0.02 0.00 0.02
7 0.0438 0.00 -0.01 0.00 -0.03
8 0.0438 0.00 -0.18 0.00 -0.22
9 0.0466 0.00 0.46 0.00 0.01
10 0.0466 0.00 -0.07 0.00 0.04
11 0.0819 0.00 -0.01 0.00 0.02
12 0.0819 0.00 -0.28 0.00 -0.19
13 0.0901 0.00 0.14 0.00 -0.05
14 0.0901 0.00 0.17 0.00 0.02
15 0.1066 0.00 -0.04 0.00 -0.05
16 0.1066 0.00 -0.14 0.00 -0.28
17 0.1147 0.00 0.13 0.00 0.21
18 0.1147 0.00 -0.12 0.00 -0.04
19 0.1257 0.00 -0.05 0.00 -0.16
20 0.1257 0.00 0.04 0.00 0.05
21 0.1310 0.00 0.08 0.00 0.07
22 0.1310 0.00 0.17 0.00 -0.03
23 0.1310 0.00 0.18 0.00 0.08
24 0.1310 0.00 0.59 0.00 0.01
25 1.1632 0.00 -0.13 0.00 0.42
26 1.1634 0.00 -0.21 0.00 0.25
27 1.2179 0.00 -0.48 0.00 0.27
28 1.2181 0.00 -0.16 0.00 0.04
29 1.2206 0.00 -0.41 0.00 0.21
30 3.0169 0.00 -0.02 0.00 0.04
31 3.0171 0.00 -0.11 0.00 0.15
32 3.2708 0.00 0.01 0.00 -0.77
33 3.2709 0.00 0.03 0.00 -0.13
34 3.2714 0.00 0.51 0.00 -0.16
35 8.2509 0.00 0.04 0.00 -0.10
36 8.2512 0.00 0.46 0.00 -0.18
37 8.2537 0.00 0.31 0.00 0.12
38 8.2539 0.00 -0.12 0.00 -0.35
39 13.3709 0.00 -0.26 0.00 0.46
40 13.3711 0.00 -0.15 0.00 0.02
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.
456826 quality flag:3 Type: 3:2E 3:2E 3:2E Type: 6:4II 6:4II 6:4II axisobj 39.780 39.779 39.780 ecceobj 0.284 0.284 0.284 incobj 28.519 28.519 28.519 qmin 26.146 26.146 26.147 qmax 53.133 53.131 53.136 amean 39.453 39.453 39.453 amin 39.040 39.041 39.040 amax 39.918 39.917 39.918 emean 0.266 0.266 0.266 emin 0.187 0.187 0.187 emax 0.336 0.336 0.336 imean 27.170 27.170 27.170 imin 24.845 24.845 24.844 imax 29.212 29.211 29.213 excite_mean 0.531 0.531 0.530 fracstop 1.000 1.000 1.000 cjmean 2.724 2.724 2.724 libcent 0 180.1 180.1 180.2 libamp 0 57.4 57.4 57.4 libcent 1 180.8 180.8 180.9 libamp 1 176.1 176.2 176.0 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 268.4 268.4 268.4 kozaiamp 47.3 47.3 47.3