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: 15GK57
# Created Sun Nov 24 02:10:17 2024
# Orbit generated from Bernstein formalism
# Fitting 30 observations of 30
# Arc: 2.35y
# First observation: 2015/02/17
# Last observation: 2017/06/25
Preliminary a, adot, b, bdot, g, gdot:
-0.000123 0.026558 0.000001 -0.000964 0.025358 0.000000
# Chi-squared of fit: 17.60 DOF: 54 RMS: 0.14
# Min/Max residuals: -0.42 0.37
# Exact a, adot, b, bdot, g, gdot:
1.590741E-05 2.647042E-02 -1.314859E-06 -9.633500E-04 2.542713E-02 4.571887E-04
# Covariance matrix:
1.7783E-13 -1.0067E-15 2.4361E-16 -3.6425E-15 1.3315E-13 2.1260E-12
-1.0067E-15 4.6974E-13 3.6890E-15 -2.1451E-14 2.3057E-13 1.1725E-11
2.4361E-16 3.6890E-15 8.8069E-14 -7.2746E-14 1.9190E-15 1.3124E-13
-3.6425E-15 -2.1451E-14 -7.2746E-14 1.3472E-13 -1.3669E-14 -7.5221E-13
1.3315E-13 2.3057E-13 1.9190E-15 -1.3669E-14 2.5293E-13 7.6239E-12
2.1260E-12 1.1725E-11 1.3124E-13 -7.5221E-13 7.6239E-12 4.1050E-10
# lat0 lon0 xBary yBary zBary JD0
1.211333 -154.025493 0.833156 0.011265 -0.525853 2457071.015468
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 359.13253 +/- 0.397
Argument of Peri: 150.89493 +/- 0.486
Long of Asc Node: 54.91952 +/- 0.009
Inclination: 2.37845 +/- 0.001
Eccentricity: 0.09889124 +/- 0.0001
Semi-Major Axis: 44.23939393 +/- 0.0031
Time of Perihelion: 2457329.4794 +/- 118.4
Perihelion: 39.86450541 +/- 0.0036
Aphelion: 48.61428244 +/- 0.0041
Period (y) 294.2537 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -36.18809861 +/- 0.0007
Ecliptic Y -16.70204212 +/- 0.0003
Ecliptic Z 0.83134615 +/- 0.0000
Ecliptic XDOT 0.00119843 +/- 0.0000
Ecliptic YDOT -0.00259037 +/- 0.0000
Ecliptic ZDOT -0.00010257 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.86512045 +/- 0.0007
Geocenter to KBO 39.32807562 +/- 0.0008
# Hcoef: 8.82
The following table shows the complete astrometric record for 15GK57. 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 (15GK57) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.51469 13 38 06.949 -08 54 14.59 25.6r 15GK57 568 C~2nvV 2015 02 17.55579 13 38 06.850 -08 54 14.06 25.9r 15GK57 568 C~2nvV 2015 02 20.48657 13 38 00.487 -08 53 34.13 25.1r 15GK57 568 C~2nvW 2015 03 18.49249 13 36 35.833 -08 45 05.22 24.1r 15GK57 568 C~2nvW 2015 03 18.53407 13 36 35.653 -08 45 04.25 24.3r 15GK57 568 C~2nvW 2015 03 20.53726 13 36 27.426 -08 44 15.94 25.1r 15GK57 568 C~2nvW 2015 04 11.47256 13 34 48.128 -08 34 41.33 24.8r 15GK57 568 C~2nvW 2015 04 12.37938 13 34 43.806 -08 34 16.56 24.8r 15GK57 568 C~2nvW 2015 04 12.42509 13 34 43.587 -08 34 15.39 24.7r 15GK57 568 C~2nvW 2015 04 12.46730 13 34 43.373 -08 34 14.11 24.6r 15GK57 568 C~2nvW 2015 04 18.43790 13 34 14.876 -08 31 32.06 24.3r 15GK57 568 C~2nvW 2015 04 18.48560 13 34 14.637 -08 31 30.60 24.6r 15GK57 568 C~2nvW 2015 05 16.28656 13 32 10.040 -08 19 56.67 24.8r 15GK57 568 C~2nvW 2015 05 17.24686 13 32 06.213 -08 19 36.02 24.4r 15GK57 568 C~2nvW 2015 05 25.38864 13 31 35.936 -08 16 53.19 24.7r 15GK57 568 C~2nvW 2015 05 25.44647 13 31 35.725 -08 16 52.14 24.8r 15GK57 568 C~2nvW 2015 06 21.33827 13 30 28.213 -08 11 14.35 24.7r 15GK57 568 C~2nvW 2015 06 22.29486 13 30 26.885 -08 11 08.96 25.1r 15GK57 568 C~2nvW 2015 07 12.28879 13 30 17.641 -08 11 03.65 25.9r 15GK57 568 C~2nvW 2015 07 15.27909 13 30 19.353 -08 11 21.61 24.8r 15GK57 568 C~2nvW 2015 07 19.27863 13 30 23.034 -08 11 52.71 24.5r 15GK57 568 C~2nvW 2016 02 04.61430 13 44 03.975 -09 32 03.48 25.1w 15GK57 568 C~2nvW 2016 02 11.59753 13 43 56.740 -09 31 13.78 25.0w 15GK57 568 C~2nvW 2016 03 11.60487 13 42 41.774 -09 23 41.73 25.0w 15GK57 568 C~2nvW 2016 04 03.47362 13 41 05.486 -09 14 27.13 24.8w 15GK57 568 C~2nvW 2016 04 09.45477 13 40 37.410 -09 11 48.18 24.9w 15GK57 568 C~2nvW 2016 05 29.32744 13 37 00.782 -08 52 01.24 24.9w 15GK57 568 C~2nvW 2016 07 07.31590 13 35 51.855 -08 46 48.80 24.3w 15GK57 568 C~2nvW 2017 02 27.64150 13 49 03.558 -10 03 19.53 15GK57 568 C~2nvW 2017 06 25.27303 13 41 38.259 -09 23 01.89 25.0w 15GK57 568 C~2nvW
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 0.15
2 0.0001 -1.56 -0.04 -0.04 0.09
3 0.0081 -103.92 0.14 3.05 0.01
4 0.0793 -1457.86 -0.06 22.53 0.10
5 0.0795 -1460.70 -0.16 22.47 0.03
6 0.0849 -1591.89 0.07 23.21 0.04
7 0.1450 -3172.75 0.21 23.26 0.05
8 0.1475 -3241.49 -0.02 23.00 0.08
9 0.1476 -3244.94 0.05 22.90 0.02
10 0.1477 -3248.37 -0.13 22.94 0.10
11 0.1641 -3701.19 -0.09 19.91 -0.01
12 0.1642 -3705.02 -0.25 19.98 0.10
13 0.2403 -5680.56 0.37 -8.70 0.01
14 0.2429 -5741.03 0.09 -10.25 -0.14
15 0.2652 -6219.24 -0.06 -23.08 -0.01
16 0.2654 -6222.54 -0.13 -23.25 -0.06
17 0.3390 -7279.99 0.04 -76.03 -0.04
18 0.3416 -7300.34 0.17 -78.24 -0.17
19 0.3964 -7430.14 0.12 -123.65 0.03
20 0.4046 -7399.87 -0.42 -131.05 -0.39
21 0.4155 -7337.54 0.01 -139.95 0.02
22 0.9640 5750.06 0.01 -213.54 0.00
23 0.9831 5632.24 0.00 -205.46 0.04
24 1.0625 4433.98 -0.16 -181.18 -0.35
25 1.1251 2904.14 0.07 -176.07 0.03
26 1.1415 2459.01 0.01 -177.52 -0.03
27 1.2781 -962.29 0.15 -230.99 0.06
28 1.3848 -2027.75 -0.15 -310.74 0.12
29 2.0291 10563.85 -0.02 -388.65 0.00
30 2.3512 3542.16 0.07 -481.81 0.12
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.
15GK57 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.796 43.808 43.784 ecceobj 0.090 0.090 0.090 incobj 2.383 2.383 2.383 qmin 39.218 39.249 39.261 qmax 49.164 49.234 49.166 amean 44.089 44.101 44.077 amin 43.734 43.752 43.719 amax 44.451 44.477 44.471 emean 0.090 0.090 0.089 emin 0.073 0.073 0.072 emax 0.107 0.107 0.107 imean 1.426 1.430 1.422 imin 0.525 0.529 0.520 imax 2.173 2.187 2.163 excite_mean 0.093 0.094 0.093 fracstop 1.000 1.000 1.000 cjmean 3.092 3.092 3.092 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 178.6 178.3 178.9 kozaiamp 180.0 180.0 180.0