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: 15GC56
# Created Sat Apr 27 01:17:11 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 37 observations of 37
# Arc: 7.26y
# First observation: 2015/02/17
# Last observation: 2022/05/23
# Chi-squared of fit: 23.70 DOF: 68 RMS: 0.14
# Min/Max residuals: -0.71 0.76
# Exact a, adot, b, bdot, g, gdot:
1.710866E-05 2.904984E-02 -9.007954E-06 -1.525557E-02 2.668742E-02 -1.866455E-03
# Covariance matrix:
1.4442E-13 -2.7211E-14 5.1714E-15 -2.7421E-14 9.3185E-14 9.3717E-13
-2.7211E-14 3.1450E-13 3.9914E-14 -1.8723E-13 1.4243E-13 6.2673E-12
5.1714E-15 3.9914E-14 9.0616E-14 -9.9054E-14 2.4294E-14 1.1661E-12
-2.7421E-14 -1.8723E-13 -9.9054E-14 2.6242E-13 -1.1792E-13 -5.4621E-12
9.3185E-14 1.4243E-13 2.4294E-14 -1.1792E-13 1.8022E-13 3.9713E-12
9.3717E-13 6.2673E-12 1.1661E-12 -5.4621E-12 3.9713E-12 1.8279E-10
# lat0 lon0 xBary yBary zBary JD0
3.230656 -156.723843 0.806810 0.032012 -0.564655 2457071.081158
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 355.74840 +/- 0.023
Argument of Peri: 186.40020 +/- 0.072
Long of Asc Node: 28.10362 +/- 0.000
Inclination: 27.81968 +/- 0.001
Eccentricity: 0.46877068 +/- 0.0001
Semi-Major Axis: 71.01336532 +/- 0.0121
Time of Perihelion: 2459651.9168 +/- 56.8
Perihelion: 37.72438175 +/- 0.0109
Aphelion: 104.30234890 +/- 0.0198
Period (y) 598.4369 +/- 0.15
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -35.20756065 +/- 0.0006
Ecliptic Y -14.26591101 +/- 0.0002
Ecliptic Z 2.11136079 +/- 0.0000
Ecliptic XDOT 0.00126861 +/- 0.0000
Ecliptic YDOT -0.00270253 +/- 0.0000
Ecliptic ZDOT -0.00157327 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.04668785 +/- 0.0005
Geocenter to KBO 37.47091073 +/- 0.0006
# Hcoef: 7.24
The following table shows the complete astrometric record for 15GC56. 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 (15GC56) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.58038 13 30 57.484 -06 02 25.87 23.0r 15GC56 568 C~2lVD 2015 02 17.62132 13 30 57.378 -06 02 25.46 23.0r 15GC56 568 C~2lVD 2015 02 20.61441 13 30 49.620 -06 01 53.39 23.1r 15GC56 568 C~2lVD 2015 03 18.55881 13 29 14.108 -05 54 56.69 23.0r 15GC56 568 C~2lVD 2015 03 18.59998 13 29 13.919 -05 54 55.88 23.0r 15GC56 568 C~2lVD 2015 03 20.56294 13 29 05.024 -05 54 16.72 23.0r 15GC56 568 C~2lVD 2015 04 11.49722 13 27 17.010 -05 46 33.23 22.9r 15GC56 568 C~2lVD 2015 04 13.36151 13 27 07.462 -05 45 53.61 23.0r 15GC56 568 C~2lVD 2015 04 13.40245 13 27 07.250 -05 45 52.77 23.0r 15GC56 568 C~2lVD 2015 04 13.48799 13 27 06.807 -05 45 51.01 22.9r 15GC56 568 C~2lVD 2015 04 13.50003 13 27 06.744 -05 45 50.77 22.8r 15GC56 568 C~2lVD 2015 04 13.50498 13 27 06.712 -05 45 50.58 22.9r 15GC56 568 C~2lVD 2015 04 19.40228 13 26 36.511 -05 43 47.84 22.9r 15GC56 568 C~2lVD 2015 04 19.51922 13 26 35.890 -05 43 45.48 23.0r 15GC56 568 C~2lVD 2015 05 18.27664 13 24 20.436 -05 35 40.68 22.2r 15GC56 568 C~2lVD 2015 05 18.32493 13 24 20.258 -05 35 39.94 23.1r 15GC56 568 C~2lVD 2015 06 20.27498 13 22 44.235 -05 33 22.72 22.8r 15GC56 568 C~2lVD 2015 06 20.31583 13 22 44.163 -05 33 22.96 23.1r 15GC56 568 C~2lVD 2015 06 22.31959 13 22 41.226 -05 33 33.28 23.1r 15GC56 568 C~2lVD 2015 07 14.27191 13 22 33.717 -05 37 56.77 23.2r 15GC56 568 C~2lVD 2015 07 20.26475 13 22 39.678 -05 39 56.30 23.2r 15GC56 568 C~2lVD 2016 02 04.56733 13 36 18.569 -07 29 02.44 23.2w 15GC56 568 C~2lVD 2016 02 10.55526 13 36 10.314 -07 28 46.50 23.3w 15GC56 568 C~2lVD 2016 02 10.60492 13 36 10.220 -07 28 46.21 23.3w 15GC56 568 C~2lVD 2016 02 11.57713 13 36 08.543 -07 28 41.87 23.3w 15GC56 568 C~2lVD 2016 03 11.55250 13 34 41.196 -07 23 13.39 23.3w 15GC56 568 C~2lVD 2016 03 12.47618 13 34 37.398 -07 22 57.73 23.1w 15GC56 568 C~2lVD 2016 04 03.43722 13 32 54.942 -07 15 51.90 23.2w 15GC56 568 C~2lVD 2016 04 09.41701 13 32 24.474 -07 13 46.47 23.1w 15GC56 568 C~2lVD 2016 06 27.28082 13 27 28.409 -06 59 33.86 23.4w 15GC56 568 C~2lVD 2016 07 06.31671 13 27 23.467 -07 00 58.95 23.6w 15GC56 568 C~2lVD 2016 07 07.28338 13 27 23.412 -07 01 10.82 23.2w 15GC56 568 C~2lVD 2017 02 24.64250 13 40 37.640 -08 52 46.55 15GC56 568 C~2lVD 2017 03 29.45933 13 38 25.063 -08 44 27.17 23.1w 15GC56 568 C~2lVD 2017 06 24.28972 13 32 29.336 -08 24 55.96 23.2w 15GC56 568 C~2lVD 2022 05 23.185180 13 59 58.821 -15 40 16.05 23.6G 15GC56 G37 C~5fmW 2022 05 23.232280 13 59 58.570 -15 40 13.77 15GC56 G37 C~5fmW
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 -0.01
2 0.0001 0.00 -0.01 0.00 -0.01
3 0.0083 0.00 -0.03 0.00 0.04
4 0.0793 0.00 -0.01 0.00 -0.01
5 0.0795 0.00 -0.02 0.00 -0.01
6 0.0848 0.00 0.02 0.00 0.03
7 0.1449 0.00 -0.03 0.00 0.02
8 0.1500 0.00 -0.02 0.00 0.08
9 0.1501 0.00 0.00 0.00 0.05
10 0.1503 0.00 0.06 0.00 0.00
11 0.1504 0.00 0.06 0.00 -0.01
12 0.1504 0.00 -0.03 0.00 0.07
13 0.1665 0.00 0.10 0.00 0.02
14 0.1668 0.00 -0.10 0.00 -0.01
15 0.2456 0.00 -0.29 0.00 -0.17
16 0.2457 0.00 0.07 0.00 -0.01
17 0.3359 0.00 0.11 0.00 0.07
18 0.3360 0.00 0.03 0.00 0.01
19 0.3415 0.00 0.05 0.00 0.01
20 0.4016 0.00 0.07 0.00 -0.02
21 0.4180 0.00 0.04 0.00 0.00
22 0.9637 0.00 0.03 0.00 -0.03
23 0.9801 0.00 0.10 0.00 -0.02
24 0.9802 0.00 0.00 0.00 0.06
25 0.9829 0.00 -0.04 0.00 -0.01
26 1.0622 0.00 -0.04 0.00 0.02
27 1.0647 0.00 0.01 0.00 0.01
28 1.1249 0.00 -0.04 0.00 0.03
29 1.1412 0.00 -0.03 0.00 0.02
30 1.3572 0.00 -0.01 0.00 0.00
31 1.3819 0.00 -0.10 0.00 -0.01
32 1.3845 0.00 -0.04 0.00 -0.02
33 2.0207 0.00 -0.04 0.00 -0.10
34 2.1106 0.00 -0.07 0.00 -0.08
35 2.3483 0.00 -0.06 0.00 -0.01
36 7.2597 0.00 0.28 0.00 -0.71
37 7.2598 0.00 -0.21 0.00 0.76
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.
15GC56 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 69.826 69.825 69.826 ecceobj 0.460 0.460 0.460 incobj 27.910 27.910 27.910 qmin 35.741 36.024 35.747 qmax 107.032 106.288 106.979 amean 70.487 70.262 70.457 amin 69.569 69.280 69.543 amax 71.770 71.604 71.761 emean 0.475 0.470 0.475 emin 0.457 0.452 0.457 emax 0.492 0.487 0.491 imean 26.842 27.025 26.832 imin 26.209 26.430 26.196 imax 27.758 27.947 27.757 excite_mean 0.655 0.654 0.655 fracstop 1.000 1.000 1.000 cjmean 2.830 2.830 2.830 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 181.4 184.8 181.5 kozaiamp 180.0 180.0 180.0