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: 15KG172
# Created Fri Apr 19 01:17:25 2024
# Orbit generated from Bernstein formalism
# Fitting 10 observations of 10
# Arc: 3.88y
# First observation: 2015/05/20
# Last observation: 2019/04/05
Preliminary a, adot, b, bdot, g, gdot:
0.000003 0.009564 -0.000007 -0.005995 0.015681 0.000000
# Chi-squared of fit: 9.39 DOF: 14 RMS: 0.17
# Min/Max residuals: -0.38 0.28
# Exact a, adot, b, bdot, g, gdot:
9.936658E-06 9.634661E-03 -5.283869E-06 -6.054870E-03 1.598788E-02 2.581921E-03
# Covariance matrix:
3.6788E-13 -1.5811E-13 -1.3292E-15 1.5259E-14 1.1930E-13 -7.2437E-13
-1.5811E-13 7.1341E-13 3.5206E-14 -3.9459E-13 8.2769E-13 1.8920E-11
-1.3292E-15 3.5206E-14 3.6085E-13 -1.3303E-13 8.8749E-14 1.1858E-12
1.5259E-14 -3.9459E-13 -1.3303E-13 3.3164E-13 -9.8270E-13 -1.3244E-11
1.1930E-13 8.2769E-13 8.8749E-14 -9.8270E-13 7.0950E-12 4.7362E-11
-7.2437E-13 1.8920E-11 1.1858E-12 -1.3244E-11 4.7362E-11 6.3598E-10
# lat0 lon0 xBary yBary zBary JD0
3.536920 -132.569741 -0.197468 0.061249 -0.988783 2457162.568488
# Heliocentric elements and errors
Epoch: 2457160.5000 = 2015/05/18
Mean Anomaly: 108.97700 +/- 0.302
Argument of Peri: 39.40537 +/- 0.246
Long of Asc Node: 53.12671 +/- 0.000
Inclination: 32.31216 +/- 0.001
Eccentricity: 0.26484040 +/- 0.0014
Semi-Major Axis: 55.74405086 +/- 0.0348
Time of Perihelion: 2411142.4139 +/- 119.9
Perihelion: 40.98077436 +/- 0.0815
Aphelion: 70.50732736 +/- 0.0890
Period (y) 416.2038 +/- 0.39
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -42.75953219 +/- 0.0070
Ecliptic Y -46.83910481 +/- 0.0077
Ecliptic Z 3.85834044 +/- 0.0006
Ecliptic XDOT 0.00087046 +/- 0.0000
Ecliptic YDOT -0.00149437 +/- 0.0000
Ecliptic ZDOT -0.00100754 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 63.53869784 +/- 0.0074
Geocenter to KBO 62.54737814 +/- 0.0104
# Hcoef: 6.12
The following table shows the complete astrometric record for 15KG172. 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 (15KG172) followed by the observatory code and reference code for the source of the astrometry.
2015 05 20.06771 15 03 57.52 -13 38 16.6 15KG172 W84 C~2fCG 2015 05 21.07556 15 03 54.15 -13 38 06.6 23.9r 15KG172 W84 C~2fCG 2015 05 22.15470 15 03 50.56 -13 37 56.1 15KG172 W84 C~2fCG 2015 05 24.06788 15 03 44.22 -13 37 37.8 15KG172 W84 C~2fCG 2018 04 12.16494 15 11 24.425 -15 11 25.40 24.0r 15KG172 807 C~2fCG 2018 04 13.16054 15 11 21.444 -15 11 15.80 23.9r 15KG172 807 C~2fCG 2018 05 16.32178 15 09 32.159 -15 05 35.30 23.8r 15KG172 304 C~2fCG 2018 05 17.33766 15 09 28.699 -15 05 25.25 24.0r 15KG172 304 C~2fCG 2019 04 05.418010 15 13 31.659 -15 40 52.76 24.7G 15KG172 G37 C~34cB 2019 04 05.466880 15 13 31.502 -15 40 51.57 15KG172 G37 C~34cB
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 -0.08 0.00 -0.15
2 0.0028 -49.97 -0.05 -4.00 -0.03
3 0.0057 -103.17 0.11 -8.40 0.05
4 0.0110 -197.04 0.01 -16.42 0.08
5 2.8969 7776.21 0.15 -3605.50 0.25
6 2.8996 7732.00 -0.07 -3607.86 0.17
7 2.9904 6114.42 0.07 -3707.07 -0.06
8 2.9932 6063.41 -0.06 -3710.97 -0.22
9 3.8778 10027.35 0.23 -4817.99 -0.38
10 3.8779 10024.84 -0.29 -4817.44 0.28
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.
15KG172 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 55.258 55.357 55.162 ecceobj 0.267 0.269 0.265 incobj 32.462 32.461 32.464 qmin 39.023 39.479 33.797 qmax 72.855 72.679 78.113 amean 55.374 55.727 55.461 amin 54.746 55.148 54.769 amax 56.318 56.404 56.304 emean 0.263 0.271 0.297 emin 0.234 0.251 0.222 emax 0.295 0.289 0.390 imean 31.296 31.292 30.122 imin 30.609 30.883 26.706 imax 32.021 31.767 32.291 excite_mean 0.583 0.586 0.586 fracstop 1.000 1.000 1.000 cjmean 2.780 2.779 2.780 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 182.7 159.2 125.2 kozaiamp 179.9 180.0 60.7