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: 13GN158
# Created Sun Dec 22 02:09:27 2024
# Orbit generated from Bernstein formalism
# Fitting 20 observations of 20
# Arc: 4.22y
# First observation: 2013/03/07
# Last observation: 2017/05/26
Preliminary a, adot, b, bdot, g, gdot:
-0.000080 0.026792 0.000016 0.004970 0.026869 0.000000
# Chi-squared of fit: 6.69 DOF: 34 RMS: 0.10
# Min/Max residuals: -0.30 0.27
# Exact a, adot, b, bdot, g, gdot:
1.676987E-05 2.703291E-02 3.479226E-06 5.040908E-03 2.697247E-02 6.199240E-03
# Covariance matrix:
2.0935E-13 -9.5143E-14 3.7073E-15 -2.4310E-14 1.4914E-13 -1.2004E-12
-9.5143E-14 6.6762E-13 -3.3495E-14 1.6824E-13 1.3686E-13 8.3931E-12
3.7073E-15 -3.3495E-14 1.0538E-13 -4.1958E-14 -6.5870E-15 -4.4669E-13
-2.4310E-14 1.6824E-13 -4.1958E-14 8.1509E-14 2.3800E-14 2.2650E-12
1.4914E-13 1.3686E-13 -6.5870E-15 2.3800E-14 2.9505E-13 1.2076E-12
-1.2004E-12 8.3931E-12 -4.4669E-13 2.2650E-12 1.2076E-12 1.1295E-10
# lat0 lon0 xBary yBary zBary JD0
2.169758 -142.155140 0.768763 0.023824 -0.627798 2456359.054538
# Heliocentric elements and errors
Epoch: 2456350.5000 = 2013/02/27
Mean Anomaly: 66.92767 +/- 0.046
Argument of Peri: 281.04337 +/- 0.023
Long of Asc Node: 205.40655 +/- 0.000
Inclination: 10.79421 +/- 0.000
Eccentricity: 0.20597014 +/- 0.0004
Semi-Major Axis: 39.31906830 +/- 0.0094
Time of Perihelion: 2439608.5348 +/- 9.7
Perihelion: 31.22051434 +/- 0.0170
Aphelion: 47.41762226 +/- 0.0190
Period (y) 246.5546 +/- 0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -30.22257961 +/- 0.0006
Ecliptic Y -22.50639028 +/- 0.0004
Ecliptic Z 1.40380886 +/- 0.0000
Ecliptic XDOT 0.00119600 +/- 0.0000
Ecliptic YDOT -0.00254007 +/- 0.0000
Ecliptic ZDOT 0.00053527 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.70825640 +/- 0.0005
Geocenter to KBO 37.07483441 +/- 0.0007
# Hcoef: 8.11
The following table shows the complete astrometric record for 13GN158. 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 (13GN158) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.55376 14 24 48.168 -12 04 18.05 23.4r 13GN158 568 C~4n38 2013 03 07.61085 14 24 48.014 -12 04 16.99 23.8r 13GN158 568 C~4n38 2013 04 04.55473 14 23 02.429 -11 52 59.66 23.9r 13GN158 568 C~4n38 2013 04 07.41499 14 22 49.092 -11 51 39.84 23.6r 13GN158 568 C~4n38 2013 04 07.45875 14 22 48.878 -11 51 38.65 23.1r 13GN158 568 C~4n38 2013 04 08.44736 14 22 44.192 -11 51 10.72 23.2r 13GN158 568 C~4n38 2013 04 09.39399 14 22 39.675 -11 50 43.67 23.7r 13GN158 568 C~4n38 2013 04 09.43719 14 22 39.445 -11 50 42.49 24.0r 13GN158 568 C~4n38 2013 04 09.48058 14 22 39.247 -11 50 41.34 23.8r 13GN158 568 C~4n38 2013 05 11.48217 14 19 58.141 -11 35 26.41 23.9r 13GN158 568 C~4n38 2013 05 12.48442 14 19 53.198 -11 34 59.05 23.6r 13GN158 568 C~4n38 2013 06 12.37957 14 17 42.757 -11 23 20.59 23.9r 13GN158 568 C~4n38 2013 06 12.42509 14 17 42.598 -11 23 19.67 23.7r 13GN158 568 C~4n38 2013 07 06.34710 14 16 47.652 -11 18 43.73 24.5r 13GN158 568 C~4n38 2014 02 24.57786 14 31 32.034 -12 20 30.04 24.3r 13GN158 568 C~4n38 2014 02 25.54746 14 31 30.494 -12 20 15.97 24.6r 13GN158 568 C~4n38 2016 05 29.36402 14 37 35.978 -12 07 35.29 24.4w 13GN158 568 C~4n38 2016 06 05.34911 14 37 06.304 -12 05 13.02 24.1w 13GN158 568 C~4n38 2017 05 26.32046 14 44 05.161 -12 20 43.00 24.0r 13GN158 568 C~4n38 2017 05 26.38561 14 44 04.855 -12 20 41.57 23.9r 13GN158 568 C~4n38
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 -0.19 0.00 -0.11
2 0.0002 -2.48 -0.05 0.28 -0.13
3 0.0767 -1687.39 0.02 142.71 -0.01
4 0.0845 -1898.47 0.08 155.05 -0.02
5 0.0846 -1901.83 0.05 155.16 -0.07
6 0.0873 -1975.96 0.13 159.38 0.02
7 0.0899 -2047.46 0.15 163.56 0.27
8 0.0900 -2051.04 -0.10 163.59 0.14
9 0.0901 -2054.16 0.13 163.74 0.13
10 0.1778 -4589.89 0.03 262.19 -0.30
11 0.1805 -4667.52 -0.08 264.43 -0.10
12 0.2651 -6709.47 -0.00 299.11 0.04
13 0.2652 -6711.99 -0.13 299.21 0.14
14 0.3307 -7566.89 0.01 295.27 0.06
15 0.9693 5924.13 -0.07 963.41 -0.04
16 0.9719 5898.25 0.03 969.65 -0.04
17 3.2274 10758.40 -0.02 3371.08 -0.01
18 3.2465 10299.27 0.06 3371.07 -0.02
19 4.2184 16456.28 -0.03 4380.30 0.01
20 4.2186 16451.54 0.00 4380.30 0.02
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.
13GN158 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.168 39.195 39.140 ecceobj 0.203 0.204 0.202 incobj 10.812 10.812 10.812 qmin 29.576 29.705 29.497 qmax 49.693 49.760 49.658 amean 39.455 39.455 39.455 amin 39.084 39.090 39.061 amax 39.883 39.886 39.921 emean 0.218 0.217 0.218 emin 0.185 0.186 0.182 emax 0.248 0.248 0.250 imean 10.055 10.093 10.086 imin 8.833 8.918 8.768 imax 11.632 11.637 11.589 excite_mean 0.280 0.279 0.280 fracstop 1.000 1.000 1.000 cjmean 2.963 2.963 2.962 libcent 0 179.7 179.7 179.5 libamp 0 44.5 40.6 55.0 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 168.7 170.8 167.9 kozaiamp 180.0 179.9 180.0