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: 15GC57
# Created Wed May 8 01:17:04 2024
# Orbit generated from Bernstein formalism
# Fitting 39 observations of 39
# Arc: 2.11y
# First observation: 2015/02/17
# Last observation: 2017/03/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000157 0.025472 0.000001 0.000566 0.024745 0.000000
# Chi-squared of fit: 5.30 DOF: 72 RMS: 0.07
# Min/Max residuals: -0.15 0.14
# Exact a, adot, b, bdot, g, gdot:
1.636869E-05 2.529140E-02 1.004381E-06 5.635905E-04 2.480238E-02 1.665756E-04
# Covariance matrix:
1.6986E-13 -2.2344E-14 -7.0334E-16 1.8610E-15 1.1946E-13 1.6116E-12
-2.2344E-14 2.6754E-13 -1.8138E-15 6.6959E-15 1.3574E-13 5.9738E-12
-7.0334E-16 -1.8138E-15 8.2976E-14 -6.6435E-14 -1.7044E-15 -6.3609E-14
1.8610E-15 6.6959E-15 -6.6435E-14 9.6849E-14 5.4695E-15 2.3411E-13
1.1946E-13 1.3574E-13 -1.7044E-15 5.4695E-15 2.0227E-13 4.8251E-12
1.6116E-12 5.9738E-12 -6.3609E-14 2.3411E-13 4.8251E-12 2.0882E-10
# lat0 lon0 xBary yBary zBary JD0
0.734342 -154.953608 0.824609 0.007059 -0.539228 2457071.006958
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 352.41447 +/- 0.368
Argument of Peri: 38.25859 +/- 0.434
Long of Asc Node: 174.57593 +/- 0.014
Inclination: 1.47962 +/- 0.001
Eccentricity: 0.08063224 +/- 0.0001
Semi-Major Axis: 44.41285196 +/- 0.0028
Time of Perihelion: 2459348.4537 +/- 110.4
Perihelion: 40.83174439 +/- 0.0048
Aphelion: 47.99395953 +/- 0.0051
Period (y) 295.9860 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.36476155 +/- 0.0007
Ecliptic Y -16.54883960 +/- 0.0003
Ecliptic Z 0.51677313 +/- 0.0000
Ecliptic XDOT 0.00116234 +/- 0.0000
Ecliptic YDOT -0.00254232 +/- 0.0000
Ecliptic ZDOT 0.00006254 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.86877234 +/- 0.0006
Geocenter to KBO 40.31871419 +/- 0.0007
# Hcoef: 7.81
The following table shows the complete astrometric record for 15GC57. 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 (15GC57) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.50618 13 33 54.783 -09 00 40.24 23.3r 15GC57 568 C~2nvU 2015 02 17.54752 13 33 54.690 -09 00 39.63 23.7r 15GC57 568 C~2nvU 2015 02 20.47836 13 33 48.228 -08 59 58.11 22.8r 15GC57 568 C~2nvU 2015 03 20.52796 13 32 15.653 -08 50 27.59 23.8r 15GC57 568 C~2nvU 2015 04 11.41852 13 30 38.542 -08 40 45.83 23.7r 15GC57 568 C~2nvU 2015 04 12.37119 13 30 34.126 -08 40 19.45 23.9r 15GC57 568 C~2nvU 2015 04 12.42087 13 30 33.882 -08 40 17.97 24.0r 15GC57 568 C~2nvU 2015 04 12.45912 13 30 33.713 -08 40 17.13 23.8r 15GC57 568 C~2nvU 2015 04 13.12231 13 30 30.64 -08 39 58.6 24.9V 15GC57 W84 C~3jdt 2015 04 13.21165 13 30 30.22 -08 39 56.1 15GC57 W84 C~3jdt 2015 04 13.30360 13 30 29.78 -08 39 53.5 15GC57 W84 C~3jdt 2015 04 14.46908 13 30 24.366 -08 39 21.54 23.7r 15GC57 568 C~2nvU 2015 04 18.42971 13 30 05.952 -08 37 32.37 23.7r 15GC57 568 C~2nvU 2015 04 18.47743 13 30 05.729 -08 37 31.14 23.7r 15GC57 568 C~2nvU 2015 05 16.27640 13 28 05.205 -08 25 43.38 24.2r 15GC57 568 C~2nvU 2015 05 25.38047 13 27 32.556 -08 22 34.32 24.2r 15GC57 568 C~2nvU 2015 05 25.43825 13 27 32.350 -08 22 33.28 24.0r 15GC57 568 C~2nvU 2015 06 21.33006 13 26 28.756 -08 16 34.41 23.9r 15GC57 568 C~2nvU 2015 06 22.28659 13 26 27.542 -08 16 27.99 23.9r 15GC57 568 C~2nvU 2015 07 12.28060 13 26 20.472 -08 16 02.41 23.9r 15GC57 568 C~2nvU 2015 07 15.27079 13 26 22.481 -08 16 16.71 23.9r 15GC57 568 C~2nvU 2015 07 19.27044 13 26 26.427 -08 16 43.43 24.2r 15GC57 568 C~2nvU 2016 02 04.60217 13 39 44.792 -09 32 33.39 24.5w 15GC57 568 C~2nvU 2016 02 10.62117 13 39 38.374 -09 31 47.49 24.2w 15GC57 568 C~2nvU 2016 02 11.58524 13 39 37.031 -09 31 38.35 24.3w 15GC57 568 C~2nvU 2016 03 11.58783 13 38 21.599 -09 23 48.05 24.2w 15GC57 568 C~2nvU 2016 03 11.63454 13 38 21.440 -09 23 46.87 24.2w 15GC57 568 C~2nvV 2016 03 12.48427 13 38 18.352 -09 23 28.25 23.9w 15GC57 568 C~2nvV 2016 04 03.46148 13 36 46.755 -09 14 22.30 23.6w 15GC57 568 C~2nvV 2016 04 09.44264 13 36 19.306 -09 11 40.66 24.0w 15GC57 568 C~2nvV 2016 05 28.31243 13 32 53.134 -08 51 47.08 24.2w 15GC57 568 C~2nvV 2016 05 29.31935 13 32 49.949 -08 51 29.13 24.5w 15GC57 568 C~2nvV 2016 06 04.38178 13 32 32.214 -08 49 49.31 24.2w 15GC57 568 C~2nvV 2016 06 27.30147 13 31 50.599 -08 46 03.61 24.3w 15GC57 568 C~2nvV 2016 06 27.30677 13 31 50.591 -08 46 03.55 24.3w 15GC57 568 C~2nvV 2016 07 07.30364 13 31 46.358 -08 45 47.57 24.2w 15GC57 568 C~2nvV 2017 02 24.65166 13 44 42.944 -09 58 15.97 15GC57 568 C~2nvV 2017 03 29.48748 13 42 46.323 -09 46 39.29 23.9w 15GC57 568 C~2nvV 2017 03 29.50900 13 42 46.243 -09 46 38.66 24.2w 15GC57 568 C~2nvV
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 -0.05 0.00 -0.13
2 0.0001 -1.51 -0.12 0.07 -0.10
3 0.0081 -105.79 -0.02 3.79 -0.10
4 0.0849 -1591.26 -0.11 33.54 0.06
5 0.1449 -3144.18 0.02 47.32 -0.04
6 0.1475 -3214.79 0.02 47.83 0.06
7 0.1476 -3218.70 -0.15 47.88 0.11
8 0.1477 -3221.34 0.10 47.74 -0.02
9 0.1495 -3270.54 0.09 48.25 0.01
10 0.1498 -3277.26 0.11 48.29 0.06
11 0.1500 -3284.28 0.01 48.32 0.08
12 0.1532 -3370.72 0.03 48.58 0.07
13 0.1641 -3664.89 -0.07 49.87 0.08
14 0.1642 -3668.42 -0.00 49.79 0.02
15 0.2403 -5592.27 0.05 50.25 0.02
16 0.2652 -6112.74 0.06 47.40 0.09
17 0.2654 -6115.97 -0.06 47.24 -0.03
18 0.3390 -7126.68 0.01 32.39 -0.01
19 0.3416 -7145.82 -0.04 31.70 -0.05
20 0.3964 -7252.92 0.01 16.69 -0.03
21 0.4046 -7219.88 0.01 14.42 0.05
22 0.4155 -7155.50 0.03 11.23 -0.01
23 0.9640 5523.81 0.08 98.14 -0.09
24 0.9805 5418.63 0.12 106.66 -0.01
25 0.9831 5396.78 -0.03 108.01 -0.00
26 1.0625 4185.50 -0.09 142.96 -0.14
27 1.0626 4182.88 0.04 143.21 0.07
28 1.0650 4133.52 0.08 144.02 -0.02
29 1.1251 2671.60 -0.01 161.30 -0.02
30 1.1415 2234.16 -0.00 164.30 -0.06
31 1.2753 -1045.13 0.04 162.72 0.03
32 1.2781 -1095.63 0.02 162.17 -0.04
33 1.2947 -1376.80 -0.08 158.97 -0.01
34 1.3574 -2033.53 0.02 143.26 0.01
35 1.3574 -2033.66 -0.03 143.27 0.02
36 1.3848 -2097.91 -0.03 135.16 -0.03
37 2.0209 10198.28 0.02 242.66 -0.01
38 2.1108 8335.92 -0.14 275.55 -0.02
39 2.1109 8334.59 0.06 275.71 0.14
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.
15GC57 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.974 43.983 43.966 ecceobj 0.072 0.072 0.072 incobj 1.486 1.486 1.486 qmin 40.267 40.232 40.273 qmax 48.480 48.541 48.481 amean 44.268 44.277 44.260 amin 43.913 43.928 43.907 amax 44.641 44.650 44.628 emean 0.072 0.072 0.072 emin 0.055 0.056 0.056 emax 0.086 0.087 0.087 imean 2.256 2.255 2.258 imin 1.610 1.610 1.611 imax 2.860 2.856 2.861 excite_mean 0.082 0.082 0.082 fracstop 1.000 1.000 1.000 cjmean 3.097 3.097 3.097 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 171.1 171.4 171.1 kozaiamp 180.0 180.0 179.9