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: 612158 # Created Fri Nov 22 02:07:41 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 19.10y # First observation: 2000/03/31 # Last observation: 2019/05/07 # Chi-squared of fit: 67.22 DOF: 50 RMS: 0.27 # Min/Max residuals: -0.54 0.89 # Exact a, adot, b, bdot, g, gdot: 1.851364E-05 3.541368E-02 6.063598E-06 1.105646E-02 3.138149E-02 1.046646E-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 -0.341704 -153.035838 0.272465 -0.006003 -0.968794 2451635.057283 # Heliocentric elements and errors Epoch: 2451634.5000 = 2000/03/31 Mean Anomaly: 6.37540 +/- 0.000 Argument of Peri: 350.00594 +/- 0.000 Long of Asc Node: 207.54783 +/- 0.000 Inclination: 17.38396 +/- 0.000 Eccentricity: 0.15861712 +/- 0.0000 Semi-Major Axis: 38.95307861 +/- 0.0000 Time of Perihelion: 2450061.9093 +/- 0.0 Perihelion: 32.77445340 +/- 0.0000 Aphelion: 45.13170382 +/- 0.0000 Period (y) 243.1201 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -29.38143183 +/- 0.0000 Ecliptic Y -14.64234546 +/- 0.0000 Ecliptic Z -0.18982118 +/- 0.0000 Ecliptic XDOT 0.00130829 +/- 0.0000 Ecliptic YDOT -0.00279105 +/- 0.0000 Ecliptic ZDOT 0.00096417 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.82837228 +/- 0.0000 Geocenter to KBO 31.86592928 +/- 0.0000 # Hcoef: 8.06
The following table shows the complete astrometric record for 612158. 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 (612158) followed by the observatory code and reference code for the source of the astrometry.
2000 03 31.55654 13 39 35.00 -10 42 35.1 22.9R 612158 568 Cb4248 2000 03 31.58034 13 39 34.87 -10 42 34.1 22.9R 612158 568 Cb4248 2000 04 02.53233 13 39 24.40 -10 41 21.7 22.8R 612158 568 Cb4248 2000 04 02.56170 13 39 24.24 -10 41 20.6 22.6R 612158 568 Cb4248 2000 04 02.57414 13 39 24.17 -10 41 20.1 22.7R 612158 568 Cb4248 2000 04 02.60325 13 39 24.04 -10 41 18.6 22.7R 612158 568 Cb4248 2000 04 05.55564 13 39 07.88 -10 39 27.8 23.1R 612158 568 Cb4248 2000 04 05.60838 13 39 07.60 -10 39 25.3 22.9R 612158 568 Cb4248 2000 05 06.46884 13 36 18.15 -10 19 46.8 24.2R 612158 568 Cb5724 2000 05 06.51573 13 36 17.89 -10 19 44.9 24.2R 612158 568 Cb5724 2000 05 30.38693 13 34 31.47 -10 06 45.6 23.0R 612158 568 Cb5724 2000 05 30.42294 13 34 31.34 -10 06 44.4 23.1R 612158 568 Cb5724 2001 02 17.20960 13 50 55.76 -11 10 38.1 23.0R 612158 950 Cc6644 2001 02 17.25524 13 50 55.67 -11 10 37.2 23.1R 612158 950 Cc6644 2001 02 19.17600 13 50 51.76 -11 10 02.3 612158 950 Cc6644 2002 02 06.33881 13 59 36.54 -11 19 48.7 612158 304 Ce8749 2002 02 07.35624 13 59 36.06 -11 19 38.0 612158 304 Ce8749 2003 01 26.01695 14 07 55.592 -11 26 45.89 23.4V 612158 250 Si2626 2003 03 31.44765 14 05 28.05 -11 04 14.7 22.2R 612158 695 Ch7886 2003 04 01.40718 14 05 23.19 -11 03 41.6 612158 695 Ch7886 2003 04 01.47677 14 05 22.83 -11 03 39.2 612158 695 Ch7886 2003 06 02.35179 14 00 00.28 -10 28 30.1 23.0R 612158 568 Ci1379 2003 06 02.41891 14 00 00.04 -10 28 28.7 612158 568 Ci1379 2014 05 28.22106 15 32 53.48 -10 46 08.6 22.8R 612158 695 C~1LJ2 2014 05 28.40177 15 32 52.45 -10 46 05.3 612158 695 C~1LJ2 2019 05 06.397770 16 15 17.06 -10 28 21.9 23.2G 612158 705 C~39nO 2019 05 07.326400 16 15 12.15 -10 27 58.5 22.9G 612158 705 C~39nO 2019 05 07.448700 16 15 11.55 -10 27 54.1 21.5G 612158 705 C~39nO
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 -0.17 0.00 -0.04
2 0.0001 0.00 -0.18 0.00 0.07
3 0.0054 0.00 0.11 0.00 -0.06
4 0.0055 0.00 0.14 0.00 -0.06
5 0.0055 0.00 0.11 0.00 -0.03
6 0.0056 0.00 0.56 0.00 0.38
7 0.0137 0.00 -0.54 0.00 0.06
8 0.0138 0.00 -0.34 0.00 0.55
9 0.0983 0.00 -0.02 0.00 -0.18
10 0.0985 0.00 -0.24 0.00 -0.00
11 0.1638 0.00 0.19 0.00 -0.32
12 0.1639 0.00 0.24 0.00 -0.13
13 0.8834 0.00 0.11 0.00 -0.06
14 0.8835 0.00 0.15 0.00 0.03
15 0.8888 0.00 0.07 0.00 -0.08
16 1.8529 0.00 0.03 0.00 0.01
17 1.8557 0.00 -0.08 0.00 -0.05
18 2.8212 0.00 0.17 0.00 -0.28
19 2.9976 0.00 -0.05 0.00 0.36
20 3.0003 0.00 0.08 0.00 0.05
21 3.0005 0.00 0.10 0.00 0.01
22 3.1699 0.00 -0.31 0.00 -0.01
23 3.1701 0.00 0.22 0.00 -0.37
24 14.1565 0.00 -0.00 0.00 0.40
25 14.1570 0.00 -0.08 0.00 -0.36
26 19.0961 0.00 -0.22 0.00 -0.43
27 19.0986 0.00 -0.33 0.00 -0.44
28 19.0990 0.00 0.57 0.00 0.89
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.
612158 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 38.943 38.943 38.943 ecceobj 0.158 0.158 0.158 incobj 17.385 17.385 17.385 qmin 31.391 31.544 31.094 qmax 48.320 48.158 48.715 amean 39.456 39.456 39.456 amin 38.926 38.870 38.873 amax 40.029 40.112 40.085 emean 0.178 0.173 0.172 emin 0.145 0.110 0.093 emax 0.207 0.203 0.217 imean 17.756 17.884 17.877 imin 17.064 17.198 16.473 imax 18.878 19.019 19.398 excite_mean 0.353 0.353 0.353 fracstop 1.000 1.000 1.000 cjmean 2.909 2.910 2.909 libcent 0 181.0 180.9 175.8 libamp 0 131.2 170.7 165.4 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 191.1 186.5 175.7 kozaiamp 179.9 179.9 180.0