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: 13GX136
# Created Mon Apr 23 01:37:59 2018
# Orbit generated from Bernstein formalism
# Fitting 33 observations of 33
# Arc: 4.22y
# First observation: 2013/03/07
# Last observation: 2017/05/28
Preliminary a, adot, b, bdot, g, gdot:
-0.000290 0.031787 0.000004 -0.000533 0.027277 0.000000
# Chi-squared of fit: 11.58 DOF: 60 RMS: 0.10
# Min/Max residuals: -0.31 0.27
# Exact a, adot, b, bdot, g, gdot:
1.836086E-05 3.140919E-02 8.832249E-07 -5.257158E-04 2.752421E-02 -2.756017E-03
# Covariance matrix:
1.4200E-13 -1.4087E-13 -7.4934E-16 2.3830E-15 9.3220E-14 -1.2874E-12
-1.4087E-13 4.4950E-13 2.0946E-15 -8.2668E-15 -4.3424E-15 4.5934E-12
-7.4934E-16 2.0946E-15 6.2623E-14 -3.3487E-14 -3.4048E-16 2.4778E-14
2.3830E-15 -8.2668E-15 -3.3487E-14 6.0293E-14 2.8129E-16 -9.7562E-14
9.3220E-14 -4.3424E-15 -3.4048E-16 2.8129E-16 1.7024E-13 -8.8371E-14
-1.2874E-12 4.5934E-12 2.4778E-14 -9.7562E-14 -8.8371E-14 5.4195E-11
# lat0 lon0 xBary yBary zBary JD0
0.563012 -145.515265 0.730669 0.006643 -0.672138 2456359.050198
# Heliocentric elements and errors
Epoch: 2456350.5000 = 2013/02/27
Mean Anomaly: 341.48451 +/- 0.035
Argument of Peri: 180.96240 +/- 0.064
Long of Asc Node: 63.53582 +/- 0.011
Inclination: 1.09935 +/- 0.000
Eccentricity: 0.24925194 +/- 0.0001
Semi-Major Axis: 47.87777924 +/- 0.0042
Time of Perihelion: 2462573.9648 +/- 11.7
Perihelion: 35.94415012 +/- 0.0060
Aphelion: 59.81140837 +/- 0.0073
Period (y) 331.2907 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -30.91239012 +/- 0.0005
Ecliptic Y -20.34582833 +/- 0.0003
Ecliptic Z 0.35704826 +/- 0.0000
Ecliptic XDOT 0.00198821 +/- 0.0000
Ecliptic YDOT -0.00241968 +/- 0.0000
Ecliptic ZDOT -0.00005485 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.00886484 +/- 0.0004
Geocenter to KBO 36.33164511 +/- 0.0005
# Hcoef: 8.30
The following table shows the complete astrometric record for 13GX136. 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 (13GX136) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.54942 14 09 39.244 -12 29 07.23 24.1r 13GX136 568 C~1XRW 2013 03 07.60676 14 09 39.080 -12 29 06.13 23.4r 13GX136 568 C~1XRW 2013 04 04.42184 14 07 47.143 -12 19 12.60 23.7r 13GX136 568 C~1XRW 2013 04 04.46233 14 07 46.946 -12 19 11.67 23.6r 13GX136 568 C~1XRW 2013 04 04.50260 14 07 46.754 -12 19 10.64 24.4r 13GX136 568 C~1XRW 2013 04 04.55066 14 07 46.517 -12 19 09.45 24.3r 13GX136 568 C~1XRW 2013 04 05.55312 14 07 41.725 -12 18 43.87 13GX136 568 C~1XRW 2013 04 05.55702 14 07 41.681 -12 18 43.92 24.0r 13GX136 568 C~1XRW 2013 04 06.59497 14 07 36.660 -12 18 17.45 23.4r 13GX136 568 C~1XRW 2013 04 07.41104 14 07 32.693 -12 17 56.53 23.9r 13GX136 568 C~1XRW 2013 04 07.45481 14 07 32.482 -12 17 55.37 23.5r 13GX136 568 C~1XRW 2013 04 08.39569 14 07 27.888 -12 17 31.34 24.3r 13GX136 568 C~1XRW 2013 04 08.44342 14 07 27.645 -12 17 30.08 24.6r 13GX136 568 C~1XRW 2013 04 08.48862 14 07 27.419 -12 17 28.92 23.0r 13GX136 568 C~1XRW 2013 04 09.39005 14 07 22.967 -12 17 05.45 23.6r 13GX136 568 C~1XRW 2013 04 09.43325 14 07 22.757 -12 17 04.30 23.5r 13GX136 568 C~1XRW 2013 04 09.47643 14 07 22.544 -12 17 03.14 23.2r 13GX136 568 C~1XRW 2013 05 11.42609 14 04 40.683 -12 02 58.30 23.9r 13GX136 568 C~1XRW 2013 05 12.42771 14 04 35.836 -12 02 33.19 24.1r 13GX136 568 C~1XRW 2013 06 13.26550 14 02 28.814 -11 51 43.28 24.0r 13GX136 568 C~1XRW 2013 06 13.30597 14 02 28.681 -11 51 42.67 23.8r 13GX136 568 C~1XRW 2013 07 04.28711 14 01 46.999 -11 48 23.73 13GX136 568 C~1XRW 2013 07 06.29463 14 01 45.162 -11 48 16.35 24.1r 13GX136 568 C~1XRW 2014 02 24.56622 14 17 02.451 -13 09 12.55 24.2r 13GX136 568 C~1XRW 2014 02 25.53582 14 17 00.580 -13 09 02.55 24.3r 13GX136 568 C~1XRW 2014 02 27.64669 14 16 56.186 -13 08 39.16 24.0r 13GX136 568 C~1XRW 2014 03 28.43778 14 15 18.800 -13 00 12.36 23.9r 13GX136 568 C~1XRW 2014 03 28.47685 14 15 18.623 -13 00 11.44 24.0r 13GX136 568 C~1XRW 2014 04 05.40750 14 14 42.195 -12 57 03.89 23.7r 13GX136 568 C~1XRW 2014 05 25.45812 14 10 33.773 -12 35 59.77 23.8r 13GX136 568 C~1XRW 2015 01 26.61744 14 24 06.406 -13 46 54.00 13GX136 568 C~1XRW 2015 03 21.61206 14 22 51.020 -13 40 14.78 23.9r 13GX136 568 C~2KOF 2017 05 28.34479 14 31 39.606 -14 27 39.52 22.5r 13GX136 568 C~2KOF
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 -0.07 0.00 -0.24 2 0.0002 -2.63 0.11 0.23 -0.01 3 0.0763 -1746.64 -0.11 7.06 -0.03 4 0.0764 -1749.67 -0.07 6.96 -0.11 5 0.0765 -1752.66 -0.02 6.98 -0.07 6 0.0767 -1756.33 -0.05 6.93 -0.10 7 0.0794 -1831.08 0.19 7.30 0.24 8 0.0794 -1831.67 -0.10 7.04 -0.02 9 0.0823 -1909.88 -0.04 7.11 0.04 10 0.0845 -1971.67 -0.16 7.17 0.03 11 0.0846 -1974.97 -0.07 7.22 0.10 12 0.0872 -2046.47 0.17 7.10 -0.04 13 0.0873 -2050.25 0.11 7.09 -0.03 14 0.0874 -2053.76 0.12 7.06 -0.03 15 0.0899 -2123.10 -0.11 7.11 -0.01 16 0.0900 -2126.39 -0.02 7.15 0.06 17 0.0901 -2129.72 0.04 7.19 0.12 18 0.1776 -4649.67 0.00 -2.57 -0.08 19 0.1804 -4725.12 0.04 -3.15 -0.09 20 0.2675 -6700.56 0.10 -28.12 0.14 21 0.2676 -6702.61 -0.06 -28.21 0.10 22 0.3251 -7346.42 0.05 -50.79 -0.00 23 0.3306 -7374.33 -0.00 -53.10 -0.01 24 0.9692 6915.87 0.10 -113.27 -0.01 25 0.9719 6886.74 0.02 -112.82 -0.04 26 0.9777 6818.36 0.02 -111.86 -0.02 27 1.0565 5306.59 -0.07 -102.89 -0.01 28 1.0566 5303.85 -0.11 -102.87 0.02 29 1.0783 4738.98 -0.31 -102.12 0.21 30 1.2154 890.54 0.13 -120.84 0.08 31 1.8893 13516.33 0.27 -237.38 -0.12 32 2.0371 12343.17 -0.07 -214.17 -0.10 33 4.2239 20593.16 -0.04 -457.08 0.03
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.
13GX136 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.667 47.679 47.654 ecceobj 0.247 0.247 0.247 incobj 1.100 1.100 1.100 qmin 35.235 35.223 35.216 qmax 61.556 61.585 61.469 amean 47.798 47.798 47.797 amin 47.079 47.034 47.118 amax 48.657 48.675 48.626 emean 0.249 0.249 0.250 emin 0.232 0.232 0.233 emax 0.265 0.265 0.266 imean 0.936 0.943 0.941 imin 0.655 0.640 0.680 imax 1.222 1.217 1.200 excite_mean 0.250 0.249 0.250 fracstop 1.000 1.000 1.000 cjmean 3.070 3.070 3.069 libcent 0 180.1 180.2 179.1 libamp 0 158.5 160.9 156.5 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 178.7 173.8 162.4 kozaiamp 179.9 180.0 179.9