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: 13GM158
# Created Wed May 8 01:14:37 2024
# Orbit generated from Bernstein formalism
# Fitting 22 observations of 22
# Arc: 3.09y
# First observation: 2013/02/08
# Last observation: 2016/03/12
Preliminary a, adot, b, bdot, g, gdot:
-0.000161 0.021709 0.000003 -0.000674 0.022894 0.000000
# Chi-squared of fit: 7.69 DOF: 38 RMS: 0.10
# Min/Max residuals: -0.19 0.27
# Exact a, adot, b, bdot, g, gdot:
1.556768E-05 2.150913E-02 -1.581356E-06 -6.685186E-04 2.285322E-02 2.407014E-04
# Covariance matrix:
4.0240E-13 -1.3822E-13 -6.3211E-15 1.3886E-15 2.8647E-13 -2.7411E-13
-1.3822E-13 4.5399E-13 2.7652E-15 -1.2080E-14 9.2332E-14 6.9793E-12
-6.3211E-15 2.7652E-15 1.1904E-13 -5.7471E-14 -5.9336E-15 2.4102E-14
1.3886E-15 -1.2080E-14 -5.7471E-14 6.1750E-14 -4.0975E-15 -2.1952E-13
2.8647E-13 9.2332E-14 -5.9336E-15 -4.0975E-15 3.7138E-13 2.9719E-12
-2.7411E-13 6.9793E-12 2.4102E-14 -2.1952E-13 2.9719E-12 1.2913E-10
# lat0 lon0 xBary yBary zBary JD0
2.067204 -146.997522 0.942918 0.010424 -0.287417 2456332.104368
# Heliocentric elements and errors
Epoch: 2456330.5000 = 2013/02/07
Mean Anomaly: 212.17229 +/- 1.524
Argument of Peri: 279.03567 +/- 1.524
Long of Asc Node: 81.48671 +/- 0.011
Inclination: 2.69086 +/- 0.000
Eccentricity: 0.01595167 +/- 0.0003
Semi-Major Axis: 43.46291751 +/- 0.0048
Time of Perihelion: 2499306.9048 +/- 442.9
Perihelion: 42.76961146 +/- 0.0146
Aphelion: 44.15622357 +/- 0.0146
Period (y) 286.5408 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.42659334 +/- 0.0010
Ecliptic Y -23.18207560 +/- 0.0006
Ecliptic Z 1.57833579 +/- 0.0000
Ecliptic XDOT 0.00137073 +/- 0.0000
Ecliptic YDOT -0.00217736 +/- 0.0000
Ecliptic ZDOT -0.00007886 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.05280538 +/- 0.0009
Geocenter to KBO 43.75751273 +/- 0.0012
# Hcoef: 7.83
The following table shows the complete astrometric record for 13GM158. 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 (13GM158) followed by the observatory code and reference code for the source of the astrometry.
2013 02 08.60359 14 06 01.956 -10 34 09.19 23.4r 13GM158 568 C~4n38 2013 04 04.41383 14 03 35.309 -10 19 27.32 24.1r 13GM158 568 C~4n38 2013 04 04.45396 14 03 35.151 -10 19 26.24 24.0r 13GM158 568 C~4n38 2013 04 04.49439 14 03 34.961 -10 19 25.45 23.7r 13GM158 568 C~4n38 2013 04 05.53143 14 03 30.624 -10 19 01.46 13GM158 568 C~4n38 2013 04 05.53531 14 03 30.620 -10 19 01.53 24.2r 13GM158 568 C~4n38 2013 04 06.58684 14 03 26.174 -10 18 37.08 24.6r 13GM158 568 C~4n38 2013 04 08.38751 14 03 18.528 -10 17 55.20 23.9r 13GM158 568 C~4n38 2013 05 11.41804 14 00 54.354 -10 05 14.87 24.3r 13GM158 568 C~4n38 2013 05 12.41931 14 00 50.182 -10 04 53.67 24.0r 13GM158 568 C~4n38 2013 06 13.25755 13 59 00.946 -09 56 10.12 24.4r 13GM158 568 C~4n38 2013 06 13.29820 13 59 00.843 -09 56 09.65 24.9r 13GM158 568 C~4n38 2013 07 04.27893 13 58 24.170 -09 53 54.24 24.0r 13GM158 568 C~4n38 2014 03 27.41673 14 08 52.201 -10 50 07.91 24.4r 13GM158 568 C~4n38 2014 03 28.41797 14 08 48.355 -10 49 46.70 24.4r 13GM158 568 C~4n38 2014 03 28.45726 14 08 48.195 -10 49 45.72 24.7r 13GM158 568 C~4n38 2014 04 05.38215 14 08 16.265 -10 46 50.92 24.9r 13GM158 568 C~4n38 2015 04 19.41871 14 12 02.146 -11 09 04.05 23.9r 13GM158 568 C~4n38 2015 04 19.48487 14 12 01.864 -11 09 02.44 23.9r 13GM158 568 C~4n38 2016 02 04.64352 14 20 05.971 -11 54 57.54 24.7w 13GM158 568 C~4n38 2016 02 11.62203 14 20 04.554 -11 54 33.38 24.0w 13GM158 568 C~4n38 2016 03 12.50183 14 19 11.666 -11 49 01.47 24.7w 13GM158 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 -0.14 0.00 0.23
2 0.1501 -2334.33 -0.03 93.18 -0.06
3 0.1502 -2336.89 0.08 93.40 0.16
4 0.1503 -2339.79 -0.12 93.18 -0.06
5 0.1531 -2408.15 -0.07 93.90 0.06
6 0.1531 -2408.18 0.16 93.81 -0.03
7 0.1560 -2478.21 -0.02 94.40 0.02
8 0.1609 -2598.59 -0.08 95.25 -0.03
9 0.2514 -4859.51 0.20 81.19 -0.01
10 0.2541 -4924.69 0.01 79.96 0.04
11 0.3413 -6621.26 0.01 16.78 -0.07
12 0.3414 -6622.85 0.04 16.70 -0.03
13 0.3988 -7178.82 -0.15 -43.01 -0.07
14 1.1275 2685.79 -0.02 -53.39 -0.02
15 1.1302 2625.28 0.19 -52.53 -0.11
16 1.1303 2622.73 0.07 -52.40 -0.00
17 1.1520 2120.82 -0.00 -46.60 -0.12
18 2.1898 5703.11 -0.19 -183.92 -0.06
19 2.1900 5698.65 0.02 -183.79 0.10
20 2.9871 13341.68 0.09 -425.63 -0.01
21 3.0062 13313.99 -0.05 -409.60 -0.18
22 3.0880 12468.37 0.00 -350.95 0.27
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.
13GM158 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.307 43.322 43.292 ecceobj 0.020 0.020 0.021 incobj 2.690 2.690 2.690 qmin 41.867 41.886 41.826 qmax 45.489 45.522 45.512 amean 43.607 43.622 43.592 amin 43.273 43.291 43.258 amax 43.950 43.953 43.937 emean 0.021 0.021 0.022 emin 0.003 0.002 0.003 emax 0.036 0.036 0.037 imean 1.058 1.059 1.056 imin 0.178 0.186 0.171 imax 1.632 1.630 1.635 excite_mean 0.030 0.029 0.030 fracstop 1.000 1.000 1.000 cjmean 3.096 3.096 3.096 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 168.7 168.1 169.3 kozaiamp 180.0 180.0 180.0