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: 13GO136 # Created Fri Nov 22 02:09:24 2024 # Orbit generated from Bernstein formalism # Fitting 37 observations of 37 # Arc: 4.22y # First observation: 2013/03/07 # Last observation: 2017/05/26 Preliminary a, adot, b, bdot, g, gdot: -0.000234 0.026992 0.000030 -0.012214 0.027488 0.000000 # Chi-squared of fit: 22.03 DOF: 68 RMS: 0.14 # Min/Max residuals: -0.44 0.30 # Exact a, adot, b, bdot, g, gdot: 1.389141E-05 2.685033E-02 -7.632869E-06 -1.212365E-02 2.770029E-02 1.423646E-03 # Covariance matrix: 1.1788E-13 -7.5609E-14 -1.2647E-14 3.4996E-14 7.0336E-14 -7.6531E-13 -7.5609E-14 1.9621E-13 3.5135E-14 -9.7706E-14 3.8542E-14 2.1557E-12 -1.2647E-14 3.5135E-14 7.2649E-14 -5.3734E-14 3.1214E-15 4.9257E-13 3.4996E-14 -9.7706E-14 -5.3734E-14 1.0113E-13 -9.0235E-15 -1.3691E-12 7.0336E-14 3.8542E-14 3.1214E-15 -9.0235E-15 1.7084E-13 2.1265E-13 -7.6531E-13 2.1557E-12 4.9257E-13 -1.3691E-12 2.1265E-13 3.0181E-11 # lat0 lon0 xBary yBary zBary JD0 0.355045 -140.406870 0.787529 0.003784 -0.604548 2456359.058558 # Heliocentric elements and errors Epoch: 2456350.5000 = 2013/02/27 Mean Anomaly: 28.68990 +/- 0.123 Argument of Peri: 146.90980 +/- 0.142 Long of Asc Node: 39.13458 +/- 0.000 Inclination: 24.30932 +/- 0.000 Eccentricity: 0.05974678 +/- 0.0001 Semi-Major Axis: 38.70475486 +/- 0.0031 Time of Perihelion: 2449341.2517 +/- 30.0 Perihelion: 36.39227029 +/- 0.0062 Aphelion: 41.01723942 +/- 0.0063 Period (y) 240.7990 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -28.78488525 +/- 0.0004 Ecliptic Y -22.78398895 +/- 0.0003 Ecliptic Z 0.22344152 +/- 0.0000 Ecliptic XDOT 0.00157097 +/- 0.0000 Ecliptic YDOT -0.00213875 +/- 0.0000 Ecliptic ZDOT -0.00119725 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.71143824 +/- 0.0004 Geocenter to KBO 36.10070703 +/- 0.0005 # Hcoef: 8.22
The following table shows the complete astrometric record for 13GO136. 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 (13GO136) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.55778 14 29 13.956 -14 20 56.00 24.1r 13GO136 568 C~1WkW 2013 03 07.56275 14 29 13.917 -14 20 55.92 23.2r 13GO136 568 C~1WkW 2013 03 07.61473 14 29 13.743 -14 20 55.56 23.2r 13GO136 568 C~1WkW 2013 04 04.55875 14 27 19.269 -14 14 50.52 23.8r 13GO136 568 C~1WkW 2013 04 07.41899 14 27 04.815 -14 14 00.10 24.1r 13GO136 568 C~1WkW 2013 04 07.46275 14 27 04.593 -14 13 59.45 23.7r 13GO136 568 C~1WkW 2013 04 07.46759 14 27 04.551 -14 13 59.21 23.2r 13GO136 568 C~1WkW 2013 04 07.47260 14 27 04.535 -14 13 59.09 24.2r 13GO136 568 C~1WkW 2013 04 07.47750 14 27 04.503 -14 13 59.31 23.9r 13GO136 568 C~1WkW 2013 04 08.45133 14 26 59.499 -14 13 41.54 23.4r 13GO136 568 C~1WkW 2013 04 08.49654 14 26 59.268 -14 13 40.93 24.1r 13GO136 568 C~1WkW 2013 04 09.39790 14 26 54.601 -14 13 24.20 23.5r 13GO136 568 C~1WkW 2013 04 09.44107 14 26 54.374 -14 13 23.47 23.6r 13GO136 568 C~1WkW 2013 04 09.48468 14 26 54.131 -14 13 22.68 24.1r 13GO136 568 C~1WkW 2013 05 11.48618 14 23 58.679 -14 02 52.25 23.6r 13GO136 568 C~1WkW 2013 05 12.48847 14 23 53.254 -14 02 32.85 23.6r 13GO136 568 C~1WkW 2013 06 12.38358 14 21 27.897 -13 54 20.36 24.0r 13GO136 568 C~1WkW 2013 06 12.42921 14 21 27.712 -13 54 20.00 24.3r 13GO136 568 C~1WkW 2013 08 02.26651 14 20 15.385 -13 54 32.83 24.6r 13GO136 568 C~1WkW 2014 02 01.63271 14 35 00.423 -15 28 00.63 23.0r 13GO136 568 C~1WkW 2014 02 02.63050 14 35 01.079 -15 28 11.53 24.1r 13GO136 568 C~1WkW 2014 02 03.57515 14 35 01.639 -15 28 21.14 24.3r 13GO136 568 C~1WkW 2014 02 24.61287 14 34 48.113 -15 29 57.90 24.2r 13GO136 568 C~1WkW 2014 02 25.59592 14 34 46.326 -15 29 57.00 23.7r 13GO136 568 C~1WkW 2014 02 28.54389 14 34 40.339 -15 29 51.41 23.7r 13GO136 568 C~1WkW 2014 04 04.49467 14 32 30.861 -15 24 05.10 24.2r 13GO136 568 C~1WkW 2014 04 05.58481 14 32 25.417 -15 23 47.30 13GO136 568 C~1WkW 2014 04 30.12479 14 30 12.98 -15 16 15.8 24.0V 13GO136 W84 C~2fc7 2014 04 30.19377 14 30 12.59 -15 16 14.4 13GO136 W84 C~2fc7 2014 05 01.11147 14 30 07.43 -15 15 56.4 13GO136 W84 C~2fc7 2014 05 01.18127 14 30 07.05 -15 15 55.2 13GO136 W84 C~2fc7 2014 05 22.43036 14 28 11.361 -15 09 08.41 23.9r 13GO136 568 C~1WkW 2014 05 25.36167 14 27 56.498 -15 08 16.27 23.9r 13GO136 568 C~1WkW 2015 04 21.49145 14 36 16.141 -16 28 02.13 23.6r 13GO136 568 C~2KOF 2015 04 21.52752 14 36 15.936 -16 28 01.39 23.7r 13GO136 568 C~2KOF 2017 05 26.23537 14 43 37.23 -18 33 25.1 23.6R 13GO136 G37 C~2Gia 2017 05 26.30305 14 43 36.90 -18 33 23.9 13GO136 G37 C~2Gia
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 0.30 0.00 0.15 2 0.0000 -0.56 -0.04 -0.10 0.08 3 0.0002 -3.08 -0.21 -0.56 -0.03 4 0.0767 -1696.87 0.11 -182.48 0.19 5 0.0845 -1912.15 0.06 -201.61 0.14 6 0.0846 -1915.41 0.19 -202.03 0.05 7 0.0846 -1916.07 -0.09 -201.99 0.11 8 0.0846 -1916.33 0.04 -201.95 0.19 9 0.0847 -1916.70 0.05 -202.31 -0.13 10 0.0873 -1991.33 0.03 -208.65 0.06 11 0.0874 -1994.71 0.20 -209.14 -0.11 12 0.0899 -2064.37 0.06 -214.91 0.13 13 0.0900 -2067.73 0.10 -215.27 0.09 14 0.0901 -2071.33 -0.06 -215.65 0.02 15 0.1778 -4691.65 0.05 -435.80 -0.10 16 0.1805 -4772.68 0.05 -442.84 -0.12 17 0.2651 -6935.94 -0.07 -660.39 0.00 18 0.2652 -6938.61 -0.16 -660.92 -0.20 19 0.4044 -7931.76 -0.11 -1015.46 -0.04 20 0.9064 6032.15 0.14 -2248.98 0.17 21 0.9092 6044.56 -0.16 -2256.41 -0.08 22 0.9118 6055.25 -0.01 -2263.04 0.07 23 0.9694 5899.29 -0.27 -2415.76 0.09 24 0.9720 5874.43 -0.13 -2422.92 0.09 25 0.9801 5790.37 -0.13 -2444.48 0.03 26 1.0758 3902.54 0.17 -2698.85 -0.09 27 1.0788 3822.16 -0.22 -2706.58 0.06 28 1.1460 1860.94 0.01 -2879.72 -0.01 29 1.1462 1855.14 0.04 -2880.17 0.05 30 1.1487 1778.59 -0.18 -2886.64 -0.11 31 1.1489 1772.99 0.11 -2887.23 -0.19 32 1.2070 55.55 -0.00 -3031.28 -0.44 33 1.2151 -165.09 -0.05 -3050.20 -0.09 34 2.1217 8188.93 0.02 -5339.46 -0.20 35 2.1218 8185.89 -0.03 -5339.66 -0.13 36 4.2181 16531.01 -0.12 -10614.89 0.11 37 4.2183 16526.14 0.29 -10615.14 0.22
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.
13GO136 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.579 38.589 38.569 ecceobj 0.056 0.056 0.056 incobj 24.341 24.342 24.341 qmin 35.642 35.597 35.625 qmax 42.259 42.377 42.227 amean 38.841 38.866 38.831 amin 38.548 38.572 38.536 amax 39.159 39.185 39.144 emean 0.064 0.065 0.064 emin 0.050 0.051 0.050 emax 0.079 0.082 0.079 imean 22.976 22.981 22.973 imin 22.205 22.203 22.204 imax 23.807 23.807 23.807 excite_mean 0.396 0.396 0.396 fracstop 1.000 1.000 1.000 cjmean 2.863 2.863 2.863 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 182.4 181.9 182.5 kozaiamp 179.9 180.0 180.0