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: 00OB51 # Created Sat Apr 20 01:10:11 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 24 observations of 24 # Arc: 23.10y # First observation: 1999/07/20 # Last observation: 2022/08/27 # Chi-squared of fit: 21.83 DOF: 42 RMS: 0.17 # Min/Max residuals: -0.50 0.37 # Exact a, adot, b, bdot, g, gdot: 1.831466E-05 2.959536E-02 7.551878E-07 -2.287850E-03 2.809033E-02 -9.578806E-05 # Covariance matrix: 2.5821E-13 -8.8354E-14 -8.1069E-15 6.9751E-15 2.3926E-13 -1.1141E-13 -8.8354E-14 1.4462E-13 1.2968E-14 -1.0929E-14 5.5741E-13 1.7466E-13 -8.1069E-15 1.2968E-14 1.2456E-13 -7.9061E-15 4.5858E-14 1.5913E-14 6.9751E-15 -1.0929E-14 -7.9061E-15 2.2241E-15 -3.7749E-14 -1.3430E-14 2.3926E-13 5.5741E-13 4.5858E-14 -3.7749E-14 5.6642E-12 6.0365E-13 -1.1141E-13 1.7466E-13 1.5913E-14 -1.3430E-14 6.0365E-13 2.1463E-13 # lat0 lon0 xBary yBary zBary JD0 -0.557739 -45.694664 0.303835 -0.009657 -0.967299 2451379.938273 # Heliocentric elements and errors Epoch: 2451380.5000 = 1999/07/21 Mean Anomaly: 339.76910 +/- 0.014 Argument of Peri: 208.88957 +/- 0.003 Long of Asc Node: 126.85399 +/- 0.000 Inclination: 4.45368 +/- 0.000 Eccentricity: 0.03967243 +/- 0.0000 Semi-Major Axis: 37.97855287 +/- 0.0014 Time of Perihelion: 2456184.6740 +/- 5.6 Perihelion: 36.47185154 +/- 0.0014 Aphelion: 39.48525420 +/- 0.0015 Period (y) 234.0539 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 25.33097222 +/- 0.0002 Ecliptic Y -26.37729824 +/- 0.0003 Ecliptic Z -0.34648423 +/- 0.0000 Ecliptic XDOT 0.00205278 +/- 0.0000 Ecliptic YDOT 0.00203154 +/- 0.0000 Ecliptic ZDOT -0.00022284 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.57240335 +/- 0.0003 Geocenter to KBO 35.59947030 +/- 0.0004 # Hcoef: 8.03
The following table shows the complete astrometric record for 00OB51. 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 (00OB51) followed by the observatory code and reference code for the source of the astrometry.
1999 07 20.43753 21 07 45.71 -17 04 20.2 23.5R 00OB51 568 Cd3308 1999 07 20.47712 21 07 45.51 -17 04 20.9 00OB51 568 Cd3308 1999 07 20.50501 21 07 45.37 -17 04 21.6 00OB51 568 Cd3308 2000 07 25.17661 21 14 14.02 -16 44 04.7 23.8R 00OB51 809 Cb7915 2000 07 25.24538 21 14 13.65 -16 44 06.2 00OB51 809 Cb7915 2000 07 25.31988 21 14 13.26 -16 44 08.3 23.8R 00OB51 809 Cb7915 2000 08 03.15032 21 13 26.36 -16 47 51.7 23.5R 00OB51 809 Cb7915 2000 08 03.22707 21 13 25.92 -16 47 53.6 00OB51 809 Cb7915 2000 08 07.16484 21 13 04.70 -16 49 34.4 00OB51 809 Cc2361 2000 08 07.23651 21 13 04.29 -16 49 36.4 23.3R 00OB51 809 Cc2361 2000 08 07.28726 21 13 04.01 -16 49 37.5 23.5R 00OB51 809 Cc2361 2001 07 24.47458 21 21 13.66 -16 20 22.5 22.8R 00OB51 568 Cd3308 2001 07 24.52511 21 21 13.39 -16 20 23.9 23.1R 00OB51 568 Cd3308 2001 07 24.56739 21 21 13.16 -16 20 24.8 22.8R 00OB51 568 Cd3308 2001 07 25.53502 21 21 08.22 -16 20 49.4 00OB51 568 Cd3308 2004 08 19.37071 21 39 31.06 -15 17 37.0 23.6g 00OB51 568 C74769 2004 08 19.39699 21 39 30.91 -15 17 37.7 23.5g 00OB51 568 C74769 2004 08 19.42797 21 39 30.75 -15 17 38.4 23.7g 00OB51 568 C74769 2021 08 08.344110 23 33 01.026 -06 20 15.50 23.7G 00OB51 G37 C~4xMW 2021 08 08.393040 23 33 00.834 -06 20 16.92 00OB51 G37 C~4xMW 2021 08 08.438880 23 33 00.666 -06 20 18.09 00OB51 G37 C~4xMW 2022 08 27.270040 23 38 07.232 -05 54 38.23 23.6G 00OB51 G37 C~5nDr 2022 08 27.316580 23 38 07.012 -05 54 39.83 00OB51 G37 C~5nDr 2022 08 27.363810 23 38 06.788 -05 54 41.39 00OB51 G37 C~5nDr
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 -0.21 0.00 -0.50
2 0.0001 0.00 -0.11 0.00 -0.25
3 0.0002 0.00 -0.03 0.00 -0.28
4 1.0150 0.00 -0.07 0.00 -0.08
5 1.0152 0.00 -0.15 0.00 0.15
6 1.0154 0.00 -0.07 0.00 -0.09
7 1.0396 0.00 0.17 0.00 0.24
8 1.0398 0.00 -0.13 0.00 0.30
9 1.0506 0.00 0.37 0.00 -0.04
10 1.0508 0.00 0.13 0.00 -0.21
11 1.0509 0.00 0.12 0.00 -0.02
12 2.0124 0.00 0.12 0.00 0.20
13 2.0126 0.00 0.03 0.00 0.09
14 2.0127 0.00 -0.12 0.00 0.26
15 2.0153 0.00 0.25 0.00 0.32
16 5.0840 0.00 -0.05 0.00 -0.07
17 5.0841 0.00 -0.17 0.00 -0.04
18 5.0842 0.00 -0.06 0.00 0.12
19 22.0531 0.00 -0.03 0.00 -0.10
20 22.0533 0.00 -0.06 0.00 -0.11
21 22.0534 0.00 0.10 0.00 0.04
22 23.1043 0.00 -0.02 0.00 0.06
23 23.1044 0.00 -0.01 0.00 -0.01
24 23.1045 0.00 -0.00 0.00 -0.01
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.
00OB51 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 37.918 37.918 37.918 ecceobj 0.038 0.038 0.038 incobj 4.456 4.456 4.456 qmin 35.336 35.376 35.446 qmax 40.616 40.615 40.617 amean 37.880 37.892 37.900 amin 37.583 37.579 37.575 amax 38.196 38.193 38.184 emean 0.042 0.041 0.041 emin 0.017 0.019 0.018 emax 0.064 0.064 0.064 imean 2.877 2.895 2.894 imin 1.450 1.457 1.464 imax 4.080 4.087 4.096 excite_mean 0.067 0.066 0.066 fracstop 1.000 1.000 1.000 cjmean 3.033 3.034 3.034 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 178.1 179.9 178.1 kozaiamp 180.0 180.0 180.0