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: 15GB56
# Created Sat Apr 20 01:17:14 2024
# Orbit generated from Bernstein formalism
# Fitting 30 observations of 30
# Arc: 2.35y
# First observation: 2015/02/17
# Last observation: 2017/06/24
Preliminary a, adot, b, bdot, g, gdot:
-0.000111 0.025367 0.000018 -0.014248 0.024062 0.000000
# Chi-squared of fit: 4.47 DOF: 54 RMS: 0.07
# Min/Max residuals: -0.27 0.14
# Exact a, adot, b, bdot, g, gdot:
1.640333E-05 2.518031E-02 -9.291753E-06 -1.415067E-02 2.409985E-02 -2.247398E-03
# Covariance matrix:
1.7095E-13 -1.7893E-14 6.3922E-15 -3.7386E-14 1.2371E-13 1.3006E-12
-1.7893E-14 4.4877E-13 5.8924E-14 -3.0316E-13 1.9074E-13 1.0395E-11
6.3922E-15 5.8924E-14 9.4384E-14 -1.1616E-13 3.1529E-14 1.8199E-12
-3.7386E-14 -3.0316E-13 -1.1616E-13 3.8484E-13 -1.6768E-13 -9.3579E-12
1.2371E-13 1.9074E-13 3.1529E-14 -1.6768E-13 2.2712E-13 5.7718E-12
1.3006E-12 1.0395E-11 1.8199E-12 -9.3579E-12 5.7718E-12 3.2084E-10
# lat0 lon0 xBary yBary zBary JD0
2.918229 -157.006552 0.804010 0.029135 -0.568790 2457071.081158
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 356.32206 +/- 0.023
Argument of Peri: 189.08999 +/- 0.097
Long of Asc Node: 27.00780 +/- 0.000
Inclination: 29.42729 +/- 0.001
Eccentricity: 0.54835984 +/- 0.0002
Semi-Major Axis: 92.03881015 +/- 0.0311
Time of Perihelion: 2460365.5165 +/- 20.8
Perihelion: 41.56842318 +/- 0.0238
Aphelion: 142.50919713 +/- 0.0518
Period (y) 883.0081 +/- 0.45
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -38.98889992 +/- 0.0008
Ecliptic Y -15.67000115 +/- 0.0003
Ecliptic Z 2.11210608 +/- 0.0000
Ecliptic XDOT 0.00127316 +/- 0.0000
Ecliptic YDOT -0.00257126 +/- 0.0000
Ecliptic ZDOT -0.00161840 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.07308219 +/- 0.0007
Geocenter to KBO 41.49402691 +/- 0.0008
# Hcoef: 7.88
The following table shows the complete astrometric record for 15GB56. 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 (15GB56) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.58038 13 29 26.376 -06 13 37.84 24.2r 15GB56 568 C~2lVD 2015 02 17.62132 13 29 26.272 -06 13 37.54 24.2r 15GB56 568 C~2lVD 2015 02 20.61441 13 29 19.049 -06 13 09.14 24.1r 15GB56 568 C~2lVD 2015 03 18.55881 13 27 51.126 -06 06 56.37 24.3r 15GB56 568 C~2lVD 2015 03 18.59998 13 27 50.953 -06 06 55.61 24.2r 15GB56 568 C~2lVD 2015 03 20.56294 13 27 42.815 -06 06 20.51 24.3r 15GB56 568 C~2lVD 2015 04 11.49722 13 26 04.247 -05 59 22.61 24.0r 15GB56 568 C~2lVD 2015 04 13.36151 13 25 55.550 -05 58 46.72 23.9r 15GB56 568 C~2lVD 2015 04 13.40245 13 25 55.353 -05 58 45.91 24.1r 15GB56 568 C~2lVD 2015 04 13.48799 13 25 54.947 -05 58 44.42 23.7r 15GB56 568 C~2lVD 2015 04 13.50003 13 25 54.895 -05 58 44.13 24.0r 15GB56 568 C~2lVD 2015 04 13.50498 13 25 54.863 -05 58 43.99 24.1r 15GB56 568 C~2lVD 2015 04 19.40228 13 25 27.363 -05 56 52.86 23.9r 15GB56 568 C~2lVD 2015 04 19.51922 13 25 26.789 -05 56 50.76 22.9r 15GB56 568 C~2lVD 2015 05 18.27664 13 23 23.594 -05 49 28.25 24.0r 15GB56 568 C~2lVD 2015 05 18.32493 13 23 23.412 -05 49 27.83 24.2r 15GB56 568 C~2lVD 2015 06 20.27498 13 21 55.807 -05 47 14.26 24.1r 15GB56 568 C~2lVD 2015 06 20.31583 13 21 55.746 -05 47 14.42 24.2r 15GB56 568 C~2lVD 2015 06 22.31959 13 21 53.040 -05 47 23.11 24.3r 15GB56 568 C~2lVD 2015 07 14.27191 13 21 45.725 -05 51 13.58 24.4r 15GB56 568 C~2lVD 2015 07 20.26475 13 21 50.981 -05 52 59.80 24.1r 15GB56 568 C~2lVD 2016 02 04.55115 13 34 01.894 -07 31 48.69 24.4w 15GB56 568 C~2lVD 2016 02 10.53908 13 33 53.871 -07 31 34.31 24.6w 15GB56 568 C~2lVD 2016 03 11.54027 13 32 30.883 -07 26 33.58 24.3w 15GB56 568 C~2lVD 2016 04 03.42104 13 30 53.589 -07 19 53.86 24.3w 15GB56 568 C~2lVD 2016 04 09.40077 13 30 25.811 -07 18 00.11 24.2w 15GB56 568 C~2lVD 2016 06 27.28082 13 25 56.755 -07 04 59.86 24.3w 15GB56 568 C~2lVD 2017 02 24.64250 13 37 37.960 -08 47 28.51 15GB56 568 C~2lVD 2017 03 29.45933 13 35 35.557 -08 39 51.33 24.2w 15GB56 568 C~2lVD 2017 06 24.28972 13 30 12.819 -08 22 07.37 24.3w 15GB56 568 C~2lVD
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 0.02 0.00 0.00
2 0.0001 -1.55 -0.04 -0.29 -0.09
3 0.0083 -112.15 -0.04 -13.57 -0.05
4 0.0793 -1468.44 0.03 -150.53 -0.03
5 0.0795 -1471.12 0.00 -150.78 -0.01
6 0.0848 -1596.89 0.09 -162.96 -0.03
7 0.1449 -3117.76 0.05 -317.84 -0.03
8 0.1500 -3251.61 0.00 -332.49 0.06
9 0.1501 -3254.64 -0.04 -332.82 0.08
10 0.1503 -3260.82 0.03 -333.68 -0.05
11 0.1504 -3261.65 0.08 -333.69 0.03
12 0.1504 -3262.15 -0.06 -333.74 0.02
13 0.1665 -3684.54 0.00 -382.29 -0.01
14 0.1668 -3693.27 -0.27 -383.51 -0.20
15 0.2456 -5565.56 -0.06 -653.65 0.14
16 0.2457 -5568.24 0.01 -654.27 0.04
17 0.3359 -6832.92 0.03 -1015.81 0.05
18 0.3360 -6833.70 0.04 -1016.30 0.04
19 0.3415 -6868.01 0.04 -1039.39 -0.01
20 0.4016 -6883.75 -0.01 -1294.07 0.10
21 0.4180 -6771.35 0.04 -1363.56 0.02
22 0.9636 5540.68 0.03 -2857.03 -0.06
23 0.9800 5424.30 -0.01 -2887.33 0.12
24 1.0622 4164.97 0.02 -3059.77 -0.15
25 1.1248 2671.44 -0.01 -3219.38 -0.03
26 1.1412 2245.18 0.06 -3265.57 0.11
27 1.3572 -1765.05 0.02 -4017.83 -0.06
28 2.0207 10194.08 0.04 -5917.94 0.03
29 2.1106 8333.12 -0.05 -6153.03 -0.01
30 2.3483 3482.38 -0.05 -6916.90 -0.02
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.
15GB56 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 90.115 90.173 90.058 ecceobj 0.539 0.539 0.539 incobj 29.528 29.528 29.528 qmin 39.616 39.576 39.479 qmax 145.887 146.010 145.846 amean 91.172 91.223 91.096 amin 89.756 89.814 89.721 amax 93.222 93.302 93.106 emean 0.551 0.552 0.551 emin 0.536 0.537 0.535 emax 0.565 0.565 0.566 imean 28.590 28.608 28.554 imin 28.078 28.101 27.993 imax 29.440 29.439 29.467 excite_mean 0.730 0.730 0.730 fracstop 1.000 1.000 1.000 cjmean 2.879 2.879 2.879 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 261.0 260.2 263.2 kozaiamp 72.5 71.3 74.7