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: 15KG163
# Created Sun Nov 24 02:10:19 2024
# Orbit generated from Bernstein formalism
# Fitting 29 observations of 29
# Arc: 2.02y
# First observation: 2015/05/17
# Last observation: 2017/05/25
Preliminary a, adot, b, bdot, g, gdot:
-0.000159 0.033176 -0.000023 0.007835 0.024499 0.000000
# Chi-squared of fit: 8.82 DOF: 52 RMS: 0.10
# Min/Max residuals: -0.20 0.35
# Exact a, adot, b, bdot, g, gdot:
2.185773E-05 3.297979E-02 4.451420E-06 7.805633E-03 2.496644E-02 -3.917062E-03
# Covariance matrix:
1.1396E-13 -1.6717E-13 3.5048E-15 -1.8861E-14 1.7837E-14 -1.4403E-12
-1.6717E-13 8.1152E-13 -2.6198E-14 1.5705E-13 7.7822E-14 1.1893E-11
3.5048E-15 -2.6198E-14 1.0014E-13 -8.4242E-14 -2.1017E-15 -4.5190E-13
-1.8861E-14 1.5705E-13 -8.4242E-14 1.6370E-13 3.0878E-14 2.7770E-12
1.7837E-14 7.7822E-14 -2.1017E-15 3.0878E-14 2.4659E-13 2.2366E-12
-1.4403E-12 1.1893E-11 -4.5190E-13 2.7770E-12 2.2366E-12 2.0993E-10
# lat0 lon0 xBary yBary zBary JD0
4.485477 -122.997037 0.015540 0.079035 -1.006290 2457159.892568
# Heliocentric elements and errors
Epoch: 2457150.5000 = 2015/05/08
Mean Anomaly: 359.86719 +/- 0.001
Argument of Peri: 31.87693 +/- 0.049
Long of Asc Node: 219.08625 +/- 0.001
Inclination: 13.98499 +/- 0.001
Eccentricity: 0.94311725 +/- 0.0002
Semi-Major Axis: 712.22448071 +/- 2.2305
Time of Perihelion: 2459711.7661 +/- 9.0
Perihelion: 40.51328383 +/- 0.1810
Aphelion: 1383.93567760 +/- 4.3361
Period (y) 19007.8742 +/- 89.29
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -22.31160932 +/- 0.0004
Ecliptic Y -34.32864869 +/- 0.0007
Ecliptic Z 3.13269302 +/- 0.0001
Ecliptic XDOT 0.00330008 +/- 0.0000
Ecliptic YDOT -0.00156041 +/- 0.0000
Ecliptic ZDOT 0.00081983 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.06187766 +/- 0.0006
Geocenter to KBO 40.05376314 +/- 0.0008
# Hcoef: 8.14
The following table shows the complete astrometric record for 15KG163. 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 (15KG163) followed by the observatory code and reference code for the source of the astrometry.
2015 05 17.39179 15 43 06.789 -15 07 11.77 24.0r 15KG163 568 C~2Gtz 2015 05 17.43344 15 43 06.608 -15 07 11.10 24.3r 15KG163 568 C~2Gtz 2015 05 17.48044 15 43 06.411 -15 07 10.23 24.1r 15KG163 568 C~2Gu0 2015 05 17.48543 15 43 06.373 -15 07 09.91 23.8r 15KG163 568 C~2Gu0 2015 05 17.51054 15 43 06.249 -15 07 09.62 24.1r 15KG163 568 C~2Gu0 2015 05 24.37741 15 42 34.897 -15 04 55.38 24.5r 15KG163 568 C~2Gu0 2015 05 24.42349 15 42 34.677 -15 04 54.33 24.2r 15KG163 568 C~2Gu0 2015 05 24.46441 15 42 34.487 -15 04 53.64 24.2r 15KG163 568 C~2Gu0 2015 05 26.45236 15 42 25.465 -15 04 15.85 24.6r 15KG163 568 C~2Gu0 2015 06 18.35156 15 40 48.501 -14 57 56.37 24.0r 15KG163 568 C~2Gu0 2015 06 18.39254 15 40 48.339 -14 57 55.86 24.4r 15KG163 568 C~2Gu0 2015 06 21.36717 15 40 37.255 -14 57 15.64 24.5r 15KG163 568 C~2Gu0 2015 07 10.39924 15 39 39.201 -14 54 00.95 24.3r 15KG163 568 C~2Gu0 2015 07 18.32574 15 39 22.816 -14 53 14.67 24.3r 15KG163 568 C~2Gu0 2016 02 06.65744 15 54 03.865 -15 31 06.44 24.9w 15KG163 568 C~2Gu0 2016 02 12.64299 15 54 18.493 -15 30 42.65 24.7w 15KG163 568 C~2Gu0 2016 03 17.62613 15 54 32.965 -15 24 54.11 24.2w 15KG163 568 C~2Gu0 2016 04 08.63261 15 53 44.499 -15 18 36.03 24.1w 15KG163 568 C~2Gu0 2016 04 09.57657 15 53 41.585 -15 18 18.03 23.6w 15KG163 568 C~2Gu0 2016 04 29.52576 15 52 27.478 -15 11 41.30 15KG163 568 C~2Gu0 2016 04 29.53411 15 52 27.442 -15 11 41.20 15KG163 568 C~2Gu0 2016 05 04.49833 15 52 06.186 -15 10 00.55 15KG163 568 C~2Gu0 2016 05 04.50650 15 52 06.157 -15 10 00.44 15KG163 568 C~2Gu0 2016 05 30.44177 15 50 08.543 -15 01 43.20 15KG163 568 C~2Gu0 2016 07 04.32652 15 47 53.382 -14 53 54.51 23.9w 15KG163 568 C~2Gu0 2016 07 05.39888 15 47 50.261 -14 53 45.46 15KG163 568 C~2Gu0 2017 03 30.58668 16 02 14.464 -15 18 48.81 24.6w 15KG163 568 C~2Gu0 2017 05 24.52991 15 58 44.768 -15 01 20.50 25.0w 15KG163 568 C~2Gu0 2017 05 25.53328 15 58 40.121 -15 01 02.57 24.4w 15KG163 568 C~2Gu0
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 -0.20 0.00 0.10
2 0.0001 -2.70 0.02 0.06 -0.01
3 0.0002 -5.68 0.35 0.27 -0.01
4 0.0003 -6.29 0.09 0.46 0.16
5 0.0003 -8.10 0.03 0.34 -0.08
6 0.0191 -480.70 0.03 29.13 -0.14
7 0.0193 -484.04 -0.10 29.43 0.00
8 0.0194 -486.87 -0.08 29.49 -0.09
9 0.0248 -622.70 -0.13 36.90 0.01
10 0.0875 -2076.97 0.15 89.01 0.00
11 0.0876 -2079.37 0.13 88.97 -0.07
12 0.0958 -2244.95 -0.00 91.67 -0.03
13 0.1479 -3108.75 -0.17 89.68 0.09
14 0.1696 -3350.62 -0.09 80.50 0.08
15 0.7263 9596.75 -0.09 675.24 0.02
16 0.7426 9798.78 -0.10 743.39 0.00
17 0.8357 9929.82 0.10 1128.78 -0.11
18 0.8959 9162.96 -0.18 1349.75 0.01
19 0.8985 9117.85 -0.05 1358.38 0.07
20 0.9531 7983.49 0.02 1517.23 0.08
21 0.9532 7982.96 0.03 1517.21 0.01
22 0.9668 7660.36 0.06 1549.60 0.03
23 0.9668 7659.93 0.18 1549.61 -0.00
24 1.0378 5887.52 0.10 1667.94 -0.06
25 1.1333 3872.59 0.02 1698.44 -0.04
26 1.1362 3826.44 -0.09 1697.35 -0.05
27 1.8705 16411.92 0.02 2875.57 -0.02
28 2.0209 13208.99 0.11 3278.58 0.04
29 2.0237 13139.13 -0.14 3282.15 -0.00
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.
15KG163 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 615.984 619.671 612.312 ecceobj 0.934 0.935 0.934 incobj 14.033 14.032 14.033 qmin 34.077 34.039 34.543 qmax 1721.646 1557.202 1531.318 amean 700.012 664.280 653.030 amin 615.983 583.177 568.651 amax 881.074 798.925 785.896 emean 0.942 0.939 0.938 emin 0.931 0.926 0.925 emax 0.954 0.953 0.949 imean 14.591 14.587 14.580 imin 13.588 13.647 13.682 imax 15.744 15.721 15.718 excite_mean 0.975 0.972 0.971 fracstop 1.000 1.000 1.000 cjmean 3.173 3.172 3.172 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 35.5 36.0 36.0 kozaiamp 6.2 6.0 6.6