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: 13SO107 # Created Sat Apr 20 01:15:09 2024 # Orbit generated from Bernstein formalism # Fitting 23 observations of 23 # Arc: 1.15y # First observation: 2012/09/17 # Last observation: 2013/11/10 Preliminary a, adot, b, bdot, g, gdot: 0.006500 0.713984 -0.002858 0.335821 0.260445 0.000000 # Chi-squared of fit: 84.53 DOF: 40 RMS: 0.34 # Min/Max residuals: -1.03 0.76 # Exact a, adot, b, bdot, g, gdot: 4.425715E-05 6.183444E-01 2.095235E-05 2.879229E-01 2.280742E-01 -7.766306E-03 # Covariance matrix: 2.5030E-13 1.0564E-13 -9.8264E-15 1.6527E-13 1.3442E-13 4.2773E-13 1.0564E-13 4.1561E-11 -1.2888E-12 2.2138E-11 8.8036E-12 5.7751E-11 -9.8264E-15 -1.2888E-12 2.7326E-13 -9.0994E-13 -2.7337E-13 -1.8026E-12 1.6527E-13 2.2138E-11 -9.0994E-13 1.2130E-11 4.6800E-12 3.0969E-11 1.3442E-13 8.8036E-12 -2.7337E-13 4.6800E-12 2.1656E-12 1.2194E-11 4.2773E-13 5.7751E-11 -1.8026E-12 3.0969E-11 1.2194E-11 8.0797E-11 # lat0 lon0 xBary yBary zBary JD0 -0.434239 12.394315 0.307624 -0.007231 -0.954998 2456187.852478 # Heliocentric elements and errors Epoch: 2456180.5000 = 2012/09/10 Mean Anomaly: 346.99558 +/- 0.003 Argument of Peri: 19.30834 +/- 0.004 Long of Asc Node: 9.88041 +/- 0.000 Inclination: 24.99266 +/- 0.000 Eccentricity: 0.22217979 +/- 0.0000 Semi-Major Axis: 6.80249446 +/- 0.0001 Time of Perihelion: 2456414.5934 +/- 0.1 Perihelion: 5.29111770 +/- 0.0001 Aphelion: 8.31387122 +/- 0.0001 Period (y) 17.7423 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 5.28290338 +/- 0.0000 Ecliptic Y 0.84803999 +/- 0.0000 Ecliptic Z -0.03311702 +/- 0.0000 Ecliptic XDOT -0.00166450 +/- 0.0000 Ecliptic YDOT 0.00723782 +/- 0.0000 Ecliptic ZDOT 0.00345702 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 5.35063890 +/- 0.0000 Geocenter to KBO 4.38453866 +/- 0.0000 # Hcoef: 14.19
The following table shows the complete astrometric record for 13SO107. 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 (13SO107) followed by the observatory code and reference code for the source of the astrometry.
2012 09 17.35170 00 46 16.64 +04 29 52.4 21.1V 13SO107 G96 C~3znM 2012 09 17.36088 00 46 16.35 +04 29 52.6 21.3V 13SO107 G96 C~3znM 2012 09 17.37013 00 46 16.10 +04 29 52.6 20.9V 13SO107 G96 C~3znM 2012 09 17.37941 00 46 15.78 +04 29 51.9 21.7V 13SO107 G96 C~3znM 2012 11 04.244523 00 22 09.563 +04 14 11.69 21.8w 13SO107 F51 c~3znM 2012 11 04.258630 00 22 09.221 +04 14 11.90 21.7w 13SO107 F51 c~3znM 2012 11 04.272724 00 22 08.879 +04 14 12.18 21.8w 13SO107 F51 c~3znM 2013 09 16.41991 02 43 50.09 +31 07 10.4 21.6V 13SO107 G96 C~3znM 2013 09 16.42624 02 43 50.01 +31 07 11.3 21.5V 13SO107 G96 C~3znM 2013 09 16.43248 02 43 49.90 +31 07 12.6 21.6V 13SO107 G96 C~3znM 2013 09 16.43868 02 43 49.80 +31 07 14.3 21.4V 13SO107 G96 C~3znM 2013 09 30.40140 02 39 06.04 +31 52 24.8 21.5V 13SO107 G96 C~3znM 2013 09 30.41052 02 39 05.82 +31 52 26.5 21.6V 13SO107 G96 C~3znM 2013 09 30.41963 02 39 05.57 +31 52 27.8 21.5V 13SO107 G96 C~3znM 2013 09 30.42873 02 39 05.32 +31 52 29.1 21.4V 13SO107 G96 C~3znM 2013 10 30.30284 02 22 30.03 +32 32 43.1 21.2V 13SO107 G96 C~3znM 2013 10 30.30912 02 22 29.73 +32 32 43.6 22.0V 13SO107 G96 C~3znM 2013 10 30.31623 02 22 29.41 +32 32 44.0 22.0V 13SO107 G96 C~3znM 2013 10 30.32250 02 22 29.19 +32 32 43.6 22.2V 13SO107 G96 C~3znM 2013 11 10.13270 02 15 44.97 +32 27 42.8 21.1V 13SO107 G96 C~3znM 2013 11 10.13961 02 15 44.68 +32 27 41.9 21.3V 13SO107 G96 C~3znM 2013 11 10.14650 02 15 44.41 +32 27 42.1 21.4V 13SO107 G96 C~3znM 2013 11 10.15340 02 15 44.19 +32 27 41.5 21.5V 13SO107 G96 C~3znM
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 -0.29 0.00 -0.20
2 0.0000 -3.92 -0.24 1.87 0.16
3 0.0001 -7.36 0.31 3.33 0.09
4 0.0001 -12.04 -0.36 4.55 -0.22
5 0.1311 -20342.57 0.35 7678.52 -0.03
6 0.1312 -20347.23 0.18 7680.77 0.06
7 0.1312 -20351.87 0.05 7683.08 0.21
8 0.9968 148592.40 0.18 67576.68 0.68
9 0.9968 148591.31 0.28 67578.06 -0.06
10 0.9968 148589.85 -0.01 67580.05 -0.16
11 0.9968 148588.77 0.08 67582.54 0.26
12 1.0350 144563.84 -0.20 71856.12 -0.26
13 1.0351 144560.57 0.30 71858.90 -0.00
14 1.0351 144556.54 0.04 71861.22 -0.20
15 1.0351 144552.51 -0.22 71863.54 -0.39
16 1.1169 127882.23 0.76 77557.36 -1.03
17 1.1169 127877.30 0.02 77558.83 -0.21
18 1.1169 127871.98 -0.57 77560.22 0.45
19 1.1170 127867.98 -0.38 77560.29 -0.11
20 1.1466 120844.59 0.43 78308.87 0.47
21 1.1466 120839.28 -0.42 78308.56 -0.16
22 1.1466 120834.86 -0.39 78309.61 0.57
23 1.1466 120830.87 0.09 78309.48 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.
13SO107 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 6.762 6.762 6.761 ecceobj 0.218 0.218 0.218 incobj 25.079 25.079 25.080 qmin 5.042 5.025 4.903 qmax 8.487 8.546 8.618 amean 6.723 6.774 6.735 amin 6.642 6.762 6.674 amax 6.764 6.785 6.761 emean 0.235 0.239 0.241 emin 0.218 0.218 0.218 emax 0.255 0.259 0.275 imean 25.147 25.179 25.177 imin 25.049 25.026 25.013 imax 25.333 25.333 25.333 excite_mean 0.486 0.488 0.489 fracstop 0.000 0.000 0.000 cjmean 5.300 5.266 5.298 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 242.9 189.8 267.7 kozaiamp 169.4 169.3 169.6