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: 13GG138
# Created Sat Apr 20 01:14:31 2024
# Orbit generated from Bernstein formalism
# Fitting 39 observations of 39
# Arc: 4.23y
# First observation: 2013/03/07
# Last observation: 2017/05/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000142 0.017049 -0.000021 0.007811 0.020756 0.000000
# Chi-squared of fit: 11.60 DOF: 72 RMS: 0.10
# Min/Max residuals: -0.18 0.40
# Exact a, adot, b, bdot, g, gdot:
1.233670E-05 1.701440E-02 6.648769E-06 7.772559E-03 2.091818E-02 -7.833079E-05
# Covariance matrix:
8.8312E-14 -3.8251E-14 3.8440E-15 -1.4712E-14 4.8449E-14 -5.3900E-13
-3.8251E-14 2.0058E-13 -3.1470E-14 1.1767E-13 6.7333E-14 4.3073E-12
3.8440E-15 -3.1470E-14 6.1112E-14 -4.9657E-14 -1.0719E-14 -8.5413E-13
-1.4712E-14 1.1767E-13 -4.9657E-14 1.2727E-13 3.9518E-14 3.1958E-12
4.8449E-14 6.7333E-14 -1.0719E-14 3.9518E-14 1.1599E-13 1.4459E-12
-5.3900E-13 4.3073E-12 -8.5413E-13 3.1958E-12 1.4459E-12 1.1699E-10
# lat0 lon0 xBary yBary zBary JD0
1.292579 -141.092698 0.780140 0.013889 -0.613911 2456359.067598
# Heliocentric elements and errors
Epoch: 2456350.5000 = 2013/02/27
Mean Anomaly: 218.44623 +/- 0.865
Argument of Peri: 146.54444 +/- 0.866
Long of Asc Node: 215.19998 +/- 0.000
Inclination: 24.65158 +/- 0.001
Eccentricity: 0.02818549 +/- 0.0004
Semi-Major Axis: 47.36399238 +/- 0.0029
Time of Perihelion: 2503166.0171 +/- 286.0
Perihelion: 46.02901502 +/- 0.0181
Aphelion: 48.69896973 +/- 0.0181
Period (y) 325.9723 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -38.15742812 +/- 0.0006
Ecliptic Y -29.79359827 +/- 0.0005
Ecliptic Z 1.07871618 +/- 0.0000
Ecliptic XDOT 0.00141822 +/- 0.0000
Ecliptic YDOT -0.00171136 +/- 0.0000
Ecliptic ZDOT 0.00101695 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 48.42325317 +/- 0.0006
Geocenter to KBO 47.80530817 +/- 0.0008
# Hcoef: 6.53
The following table shows the complete astrometric record for 13GG138. 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 (13GG138) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.56682 14 27 46.726 -13 14 32.12 22.9r 13GG138 568 C~1XRa 2013 03 07.61868 14 27 46.613 -13 14 31.10 23.2r 13GG138 568 C~1XRa 2013 04 04.56717 14 26 22.682 -13 04 57.50 22.8r 13GG138 568 C~1XRa 2013 04 07.42710 14 26 12.089 -13 03 50.05 23.7r 13GG138 568 C~1XRa 2013 04 07.49093 14 26 11.833 -13 03 48.46 23.2r 13GG138 568 C~1XRa 2013 04 07.49584 14 26 11.817 -13 03 48.32 23.0r 13GG138 568 C~1XRa 2013 04 08.45963 14 26 08.183 -13 03 25.38 22.9r 13GG138 568 C~1XRa 2013 04 08.50445 14 26 08.022 -13 03 24.26 22.6r 13GG138 568 C~1XRa 2013 04 08.51364 14 26 07.977 -13 03 24.11 22.7r 13GG138 568 C~1XRa 2013 04 08.54999 14 26 07.830 -13 03 23.11 23.5r 13GG138 568 C~1XRa 2013 04 08.55507 14 26 07.821 -13 03 23.09 22.8r 13GG138 568 C~1XRa 2013 04 09.40582 14 26 04.594 -13 03 02.63 23.1r 13GG138 568 C~1XRa 2013 04 09.44883 14 26 04.430 -13 03 01.65 23.4r 13GG138 568 C~1XRa 2013 04 09.51453 14 26 04.172 -13 03 00.00 23.3r 13GG138 568 C~1XRa 2013 04 09.51849 14 26 04.149 -13 03 00.04 23.1r 13GG138 568 C~1XRa 2013 04 09.52237 14 26 04.141 -13 02 59.89 23.3r 13GG138 568 C~1XRa 2013 04 10.50021 14 26 00.389 -13 02 36.29 23.3r 13GG138 568 C~1XRa 2013 04 10.54048 14 26 00.241 -13 02 35.21 23.2r 13GG138 568 C~1XRa 2013 05 11.49407 14 23 55.627 -12 49 50.04 23.2r 13GG138 568 C~1XRa 2013 05 12.49746 14 23 51.643 -12 49 25.99 23.3r 13GG138 568 C~1XRa 2013 06 12.39168 14 22 05.358 -12 38 38.87 23.5r 13GG138 568 C~1XRa 2013 06 12.43761 14 22 05.231 -12 38 38.07 23.6r 13GG138 568 C~1XRa 2013 07 06.27410 14 21 18.044 -12 33 27.97 23.5r 13GG138 568 C~1XRa 2013 07 07.30078 14 21 16.924 -12 33 19.28 23.6r 13GG138 568 C~1XRa 2013 08 02.28656 14 21 14.670 -12 31 57.49 23.6r 13GG138 568 C~1XRa 2013 08 06.25535 14 21 18.978 -12 32 08.42 23.8r 13GG138 568 C~1XRa 2014 02 02.65078 14 32 37.298 -13 13 38.17 23.4r 13GG138 568 C~1XRa 2014 02 02.65647 14 32 37.278 -13 13 38.13 23.7r 13GG138 568 C~1XRa 2014 02 03.59530 14 32 37.730 -13 13 33.92 23.8r 13GG138 568 C~1XRa 2014 02 24.60122 14 32 28.338 -13 10 25.32 23.7r 13GG138 568 C~1XRa 2014 02 25.58427 14 32 27.039 -13 10 12.40 23.7r 13GG138 568 C~1XRa 2014 02 28.53222 14 32 22.675 -13 09 31.55 23.5r 13GG138 568 C~1XRa 2014 04 05.54119 14 30 44.032 -12 57 49.86 23.5r 13GG138 568 C~1XRa 2014 06 26.34216 14 25 55.222 -12 28 45.30 23.6r 13GG138 568 C~1XRa 2014 07 18.30511 14 25 29.412 -12 25 46.64 23.4r 13GG138 568 C~1XRa 2015 01 26.64799 14 36 50.498 -13 06 55.85 23.6r 13GG138 568 C~1XRa 2016 05 29.36402 14 35 59.566 -12 22 23.48 23.6w 13GG138 568 C~2KOG 2016 06 05.34911 14 35 35.601 -12 20 10.00 23.4w 13GG138 568 C~2KOG 2017 05 29.35708 14 40 24.872 -12 15 05.45 23.3r 13GG138 568 C~2KOG
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 0.11 0.00 -0.16
2 0.0001 -1.89 0.12 0.44 0.00
3 0.0767 -1346.67 -0.11 153.51 0.26
4 0.0845 -1514.89 0.03 167.99 0.07
5 0.0847 -1518.95 -0.15 168.31 0.08
6 0.0847 -1519.21 -0.12 168.36 0.11
7 0.0873 -1576.86 -0.08 173.14 -0.01
8 0.0874 -1579.45 0.08 173.45 0.09
9 0.0875 -1580.12 -0.03 173.38 -0.02
10 0.0876 -1582.48 -0.16 173.64 0.07
11 0.0876 -1582.61 0.02 173.62 0.02
12 0.0899 -1633.83 -0.01 177.93 0.01
13 0.0900 -1636.41 0.05 178.10 -0.03
14 0.0902 -1640.51 -0.00 178.46 0.02
15 0.0902 -1640.82 -0.06 178.31 -0.14
16 0.0902 -1640.98 0.02 178.41 -0.06
17 0.0929 -1700.48 -0.05 183.25 -0.12
18 0.0930 -1702.87 0.05 183.58 0.02
19 0.1778 -3674.14 0.01 324.29 0.06
20 0.1805 -3737.07 -0.07 328.32 0.02
21 0.2651 -5418.58 0.06 439.50 -0.08
22 0.2652 -5420.60 0.07 439.66 -0.06
23 0.3305 -6175.14 -0.06 509.59 -0.10
24 0.3333 -6193.48 0.40 512.50 0.03
25 0.4044 -6251.26 -0.10 579.22 -0.18
26 0.4153 -6187.98 -0.07 589.31 -0.01
27 0.9092 4009.37 0.19 1390.83 0.09
28 0.9092 4009.08 -0.12 1390.77 0.00
29 0.9118 4014.03 0.13 1396.84 -0.07
30 0.9693 3824.60 -0.07 1532.96 -0.02
31 0.9720 3802.53 0.01 1539.28 0.02
32 0.9801 3729.17 -0.08 1558.08 0.07
33 1.0786 2139.91 -0.09 1770.91 0.08
34 1.3026 -2421.51 -0.01 2083.69 0.05
35 1.3627 -2836.93 0.02 2132.06 -0.08
36 1.8893 7401.37 0.17 2926.06 -0.08
37 3.2274 5863.45 0.03 5237.52 0.05
38 3.2465 5487.81 -0.04 5255.20 -0.06
39 4.2267 9434.26 -0.05 6857.89 0.04
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.
13GG138 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 47.206 47.215 47.197 ecceobj 0.032 0.032 0.033 incobj 24.698 24.698 24.697 qmin 45.460 45.481 45.450 qmax 49.786 49.753 49.784 amean 47.540 47.549 47.530 amin 47.167 47.167 47.162 amax 47.923 47.935 47.910 emean 0.029 0.028 0.029 emin 0.018 0.019 0.019 emax 0.039 0.039 0.040 imean 25.248 25.248 25.248 imin 25.049 25.048 25.039 imax 25.446 25.442 25.444 excite_mean 0.428 0.427 0.428 fracstop 1.000 1.000 1.000 cjmean 2.905 2.905 2.905 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 181.6 181.7 181.3 kozaiamp 180.0 179.9 180.0