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: 13GZ137
# Created Fri Nov 22 02:09:24 2024
# Orbit generated from Bernstein formalism
# Fitting 30 observations of 30
# Arc: 4.23y
# First observation: 2013/03/07
# Last observation: 2017/05/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000196 0.022972 -0.000028 0.008850 0.024595 0.000000
# Chi-squared of fit: 13.04 DOF: 54 RMS: 0.12
# Min/Max residuals: -0.28 0.22
# Exact a, adot, b, bdot, g, gdot:
1.350693E-05 2.290353E-02 6.257465E-06 8.807657E-03 2.484274E-02 1.575511E-03
# Covariance matrix:
1.5586E-13 -1.4677E-13 2.1975E-14 -6.6626E-14 6.4687E-14 -1.7321E-12
-1.4677E-13 4.0966E-13 -6.6057E-14 1.9997E-13 3.1830E-14 5.2231E-12
2.1975E-14 -6.6057E-14 8.5336E-14 -6.0849E-14 -3.5711E-15 -9.0491E-13
-6.6626E-14 1.9997E-13 -6.0849E-14 1.3237E-13 1.0636E-14 2.7396E-12
6.4687E-14 3.1830E-14 -3.5711E-15 1.0636E-14 1.2976E-13 2.9167E-13
-1.7321E-12 5.2231E-12 -9.0491E-13 2.7396E-12 2.9167E-13 7.1540E-11
# lat0 lon0 xBary yBary zBary JD0
1.770312 -142.274715 0.767450 0.019496 -0.629551 2456359.054538
# Heliocentric elements and errors
Epoch: 2456350.5000 = 2013/02/27
Mean Anomaly: 73.35231 +/- 0.051
Argument of Peri: 285.91671 +/- 0.049
Long of Asc Node: 212.13578 +/- 0.000
Inclination: 21.14874 +/- 0.000
Eccentricity: 0.04959939 +/- 0.0004
Semi-Major Axis: 41.37928947 +/- 0.0047
Time of Perihelion: 2436540.5102 +/- 13.3
Perihelion: 39.32690187 +/- 0.0154
Aphelion: 43.43167706 +/- 0.0155
Period (y) 266.1845 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -32.78977314 +/- 0.0005
Ecliptic Y -24.39450035 +/- 0.0004
Ecliptic Z 1.24380091 +/- 0.0000
Ecliptic XDOT 0.00142465 +/- 0.0000
Ecliptic YDOT -0.00208363 +/- 0.0000
Ecliptic ZDOT 0.00097571 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.88774769 +/- 0.0004
Geocenter to KBO 40.25320736 +/- 0.0006
# Hcoef: 7.72
The following table shows the complete astrometric record for 13GZ137. 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 (13GZ137) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.55376 14 23 48.823 -12 24 41.23 23.6r 13GZ137 568 C~1XRZ 2013 03 07.61085 14 23 48.656 -12 24 40.02 23.5r 13GZ137 568 C~1XRZ 2013 04 04.55473 14 22 10.324 -12 13 11.06 23.6r 13GZ137 568 C~1XRZ 2013 04 07.41499 14 21 57.931 -12 11 50.59 23.4r 13GZ137 568 C~1XRZ 2013 04 07.45875 14 21 57.740 -12 11 49.13 23.8r 13GZ137 568 C~1XRZ 2013 04 08.44736 14 21 53.398 -12 11 21.41 23.1r 13GZ137 568 C~1XRZ 2013 04 08.49256 14 21 53.176 -12 11 19.69 22.9r 13GZ137 568 C~1XRZ 2013 04 09.39399 14 21 49.191 -12 10 54.15 23.3r 13GZ137 568 C~1XRZ 2013 04 09.43719 14 21 48.985 -12 10 52.82 23.9r 13GZ137 568 C~1XRZ 2013 04 09.48059 14 21 48.792 -12 10 51.75 24.5r 13GZ137 568 C~1XRZ 2013 05 11.48217 14 19 19.551 -11 55 23.96 23.9r 13GZ137 568 C~1XRZ 2013 05 12.48442 14 19 14.971 -11 54 56.12 23.8r 13GZ137 568 C~1XRZ 2013 06 12.37957 14 17 14.101 -11 42 43.07 23.9r 13GZ137 568 C~1XRZ 2013 07 04.33899 14 16 25.322 -11 37 33.15 24.0r 13GZ137 568 C~1XRZ 2013 07 06.34710 14 16 22.844 -11 37 15.67 23.9r 13GZ137 568 C~1XRZ 2013 08 02.26251 14 16 24.677 -11 36 25.10 23.8r 13GZ137 568 C~1XRZ 2013 08 05.26320 14 16 28.979 -11 36 40.92 23.8r 13GZ137 568 C~1XRZ 2014 02 02.65078 14 30 05.272 -12 28 28.60 24.0r 13GZ137 568 C~1XRZ 2014 02 02.65647 14 30 05.262 -12 28 28.21 23.9r 13GZ137 568 C~1XRZ 2014 02 03.59530 14 30 05.826 -12 28 22.83 24.2r 13GZ137 568 C~1XRZ 2014 02 24.57786 14 29 55.410 -12 24 30.86 23.8r 13GZ137 568 C~1XRZ 2014 02 25.54746 14 29 53.921 -12 24 15.42 24.1r 13GZ137 568 C~1XRZ 2014 02 27.65842 14 29 50.384 -12 23 40.41 23.9r 13GZ137 568 C~1XRZ 2014 03 28.49795 14 28 26.750 -12 13 03.13 24.0r 13GZ137 568 C~1XRZ 2014 04 05.42769 14 27 54.494 -12 09 28.78 23.8r 13GZ137 568 C~1XRZ 2014 05 28.38556 14 23 54.165 -11 45 05.91 23.7r 13GZ137 568 C~1XRZ 2017 05 02.33049 14 43 08.44 -11 44 22.5 24.1R 13GZ137 G37 C~2Fa1 2017 05 02.39761 14 43 08.12 -11 44 20.5 13GZ137 G37 C~2Fa1 2017 05 29.35708 14 41 04.861 -11 33 01.80 23.8r 13GZ137 568 C~2KOG 2017 05 29.42223 14 41 04.578 -11 33 00.38 23.9r 13GZ137 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 0.22 0.00 -0.13
2 0.0002 -2.71 -0.00 0.36 -0.16
3 0.0767 -1589.04 0.01 187.14 0.06
4 0.0845 -1787.01 -0.09 204.47 -0.09
5 0.0846 -1790.14 -0.10 204.94 0.14
6 0.0873 -1859.35 0.21 210.56 -0.19
7 0.0874 -1862.99 -0.18 211.13 0.14
8 0.0899 -1926.54 0.00 216.37 -0.04
9 0.0900 -1929.83 -0.17 216.65 0.00
10 0.0901 -1932.85 -0.05 216.75 -0.14
11 0.1778 -4305.38 0.18 382.73 0.14
12 0.1805 -4378.03 0.10 387.14 0.16
13 0.2651 -6296.13 0.09 499.72 0.15
14 0.3252 -7075.53 -0.04 557.39 -0.06
15 0.3307 -7115.71 0.17 561.94 -0.13
16 0.4044 -7106.88 -0.02 618.58 0.18
17 0.4126 -7041.91 -0.28 624.40 0.01
18 0.9092 5299.21 0.13 1545.89 -0.17
19 0.9092 5298.95 -0.17 1546.21 0.11
20 0.9118 5305.09 0.21 1553.94 0.04
21 0.9693 5086.79 -0.03 1725.70 0.03
22 0.9719 5061.19 -0.11 1733.44 -0.03
23 0.9777 5000.91 -0.08 1750.23 -0.04
24 1.0567 3635.69 0.04 1965.41 -0.03
25 1.0784 3118.96 -0.05 2018.05 -0.00
26 1.2234 -690.97 -0.00 2274.06 0.09
27 4.1527 15427.37 -0.05 7650.11 -0.03
28 4.1529 15422.26 -0.04 7650.57 0.14
29 4.2267 13479.85 0.09 7739.72 -0.05
30 4.2269 13475.44 0.03 7739.78 -0.09
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.
13GZ137 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.237 41.252 41.222 ecceobj 0.047 0.048 0.046 incobj 21.184 21.185 21.184 qmin 38.915 38.925 38.921 qmax 44.277 44.378 44.216 amean 41.495 41.510 41.479 amin 41.181 41.204 41.173 amax 41.819 41.838 41.802 emean 0.047 0.048 0.046 emin 0.037 0.038 0.036 emax 0.059 0.061 0.058 imean 21.952 21.952 21.952 imin 21.475 21.487 21.470 imax 22.371 22.378 22.380 excite_mean 0.377 0.377 0.377 fracstop 1.000 1.000 1.000 cjmean 2.900 2.900 2.900 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 183.6 183.2 184.2 kozaiamp 179.9 179.9 180.0