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: 15GT56
# Created Sun Nov 24 02:10:17 2024
# Orbit generated from Bernstein formalism
# Fitting 37 observations of 37
# Arc: 2.11y
# First observation: 2015/02/17
# Last observation: 2017/03/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000136 0.023005 0.000006 -0.004596 0.023529 0.000000
# Chi-squared of fit: 8.84 DOF: 68 RMS: 0.09
# Min/Max residuals: -0.22 0.27
# Exact a, adot, b, bdot, g, gdot:
1.495884E-05 2.291527E-02 -3.223267E-06 -4.579101E-03 2.362967E-02 6.378944E-04
# Covariance matrix:
1.7774E-13 -2.2438E-14 3.9481E-15 -2.1686E-14 1.3153E-13 2.9973E-12
-2.2438E-14 2.7575E-13 1.1124E-14 -5.8784E-14 1.4731E-13 8.0858E-12
3.9481E-15 1.1124E-14 9.0633E-14 -8.7012E-14 1.0770E-14 6.4388E-13
-2.1686E-14 -5.8784E-14 -8.7012E-14 1.5956E-13 -5.7821E-14 -3.3968E-12
1.3153E-13 1.4731E-13 1.0770E-14 -5.7821E-14 2.2995E-13 7.9692E-12
2.9973E-12 8.0858E-12 6.4388E-13 -3.3968E-12 7.9692E-12 4.6714E-10
# lat0 lon0 xBary yBary zBary JD0
0.789805 -156.176255 0.812995 0.007821 -0.556573 2457070.998808
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 8.57885 +/- 0.718
Argument of Peri: 166.18832 +/- 0.825
Long of Asc Node: 26.64129 +/- 0.000
Inclination: 11.29232 +/- 0.001
Eccentricity: 0.06703100 +/- 0.0002
Semi-Major Axis: 45.92536965 +/- 0.0033
Time of Perihelion: 2454361.5312 +/- 226.8
Perihelion: 42.84694610 +/- 0.0096
Aphelion: 49.00379321 +/- 0.0097
Period (y) 311.2341 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -39.55038674 +/- 0.0008
Ecliptic Y -16.57342023 +/- 0.0003
Ecliptic Z 0.58320291 +/- 0.0000
Ecliptic XDOT 0.00099450 +/- 0.0000
Ecliptic YDOT -0.00246722 +/- 0.0000
Ecliptic ZDOT -0.00052940 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.88649525 +/- 0.0007
Geocenter to KBO 42.31966910 +/- 0.0009
# Hcoef: 8.14
The following table shows the complete astrometric record for 15GT56. 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 (15GT56) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.49803 13 29 23.491 -08 30 41.80 25.1r 15GT56 568 C~2nvT 2015 02 17.53937 13 29 23.388 -08 30 41.36 24.7r 15GT56 568 C~2nvT 2015 02 20.47010 13 29 16.647 -08 30 06.92 24.3r 15GT56 568 C~2nvT 2015 03 18.46654 13 27 51.792 -08 22 39.71 24.8r 15GT56 568 C~2nvT 2015 03 18.51775 13 27 51.577 -08 22 38.84 24.0r 15GT56 568 C~2nvT 2015 03 20.51950 13 27 43.533 -08 21 55.99 23.9r 15GT56 568 C~2nvT 2015 04 11.41033 13 26 08.188 -08 13 28.15 24.4r 15GT56 568 C~2nvT 2015 04 12.36301 13 26 03.903 -08 13 05.54 24.2r 15GT56 568 C~2nvT 2015 04 12.40393 13 26 03.716 -08 13 04.40 24.1r 15GT56 568 C~2nvT 2015 04 12.45094 13 26 03.491 -08 13 03.24 24.4r 15GT56 568 C~2nvT 2015 04 14.46090 13 25 54.382 -08 12 15.04 24.5r 15GT56 568 C~2nvT 2015 04 18.42156 13 25 36.452 -08 10 40.21 24.5r 15GT56 568 C~2nvT 2015 04 18.46928 13 25 36.225 -08 10 38.88 24.1r 15GT56 568 C~2nvT 2015 05 25.37165 13 23 08.015 -07 57 58.89 24.3r 15GT56 568 C~2nvT 2015 05 25.41355 13 23 07.882 -07 57 58.14 24.1r 15GT56 568 C~2nvT 2015 05 25.42921 13 23 07.827 -07 57 58.01 24.8r 15GT56 568 C~2nvT 2015 06 21.32182 13 22 06.613 -07 53 31.83 24.6r 15GT56 568 C~2nvT 2015 06 22.27415 13 22 05.449 -07 53 28.55 24.6r 15GT56 568 C~2nvT 2015 06 22.27832 13 22 05.446 -07 53 28.51 24.3r 15GT56 568 C~2nvT 2015 07 12.27234 13 21 58.479 -07 54 02.55 24.3r 15GT56 568 C~2nvT 2015 07 15.25837 13 22 00.352 -07 54 24.76 23.9r 15GT56 568 C~2nvT 2015 07 19.25818 13 22 04.063 -07 55 02.36 24.5r 15GT56 568 C~2nvT 2016 02 04.57138 13 34 17.719 -09 15 46.79 24.7w 15GT56 568 C~2nvT 2016 02 10.55937 13 34 10.255 -09 15 15.37 25.1w 15GT56 568 C~2nvT 2016 02 10.60896 13 34 10.193 -09 15 15.03 24.5w 15GT56 568 C~2nvT 2016 02 11.58117 13 34 08.667 -09 15 08.26 24.7w 15GT56 568 C~2nvT 2016 03 11.55881 13 32 50.868 -09 08 39.14 24.6w 15GT56 568 C~2nvT 2016 04 03.44530 13 31 16.917 -09 00 28.54 24.5w 15GT56 568 C~2nvT 2016 04 09.42510 13 30 50.050 -08 58 07.84 24.3w 15GT56 568 C~2nvT 2016 05 01.36857 13 29 11.832 -08 49 35.98 25.6w 15GT56 568 C~2nvT 2016 05 02.31122 13 29 07.793 -08 49 15.06 24.5w 15GT56 568 C~2nvT 2016 05 06.32100 13 28 50.905 -08 47 48.04 24.6w 15GT56 568 C~2nvT 2016 05 28.28409 13 27 30.704 -08 41 06.46 24.8w 15GT56 568 C~2nvT 2016 06 04.36558 13 27 10.656 -08 39 31.79 24.8w 15GT56 568 C~2nvT 2016 06 27.29295 13 26 31.044 -08 36 55.42 24.6w 15GT56 568 C~2nvT 2016 07 07.29554 13 26 27.107 -08 37 06.21 25.0w 15GT56 568 C~2nvT 2017 03 29.44993 13 36 17.284 -09 46 21.28 24.5w 15GT56 568 C~2nvT
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 0.08 0.00 0.03
2 0.0001 -1.58 -0.05 -0.15 -0.03
3 0.0081 -107.24 0.02 -4.93 -0.04
4 0.0793 -1442.51 -0.00 -53.04 0.15
5 0.0795 -1445.79 -0.02 -53.41 -0.09
6 0.0849 -1572.56 -0.09 -57.62 -0.09
7 0.1449 -3075.47 -0.22 -108.47 0.01
8 0.1475 -3142.95 0.23 -111.00 -0.11
9 0.1476 -3145.95 0.20 -110.96 0.05
10 0.1477 -3149.49 0.07 -111.12 0.03
11 0.1532 -3292.99 0.10 -116.37 -0.02
12 0.1641 -3575.47 -0.04 -126.79 0.00
13 0.1642 -3579.10 -0.21 -126.81 0.14
14 0.2652 -5906.36 -0.04 -237.40 -0.07
15 0.2653 -5908.47 -0.03 -237.44 0.04
16 0.2654 -5909.28 -0.04 -237.63 -0.08
17 0.3390 -6853.39 0.01 -328.78 -0.01
18 0.3416 -6870.68 -0.00 -332.17 -0.10
19 0.3416 -6870.73 0.02 -332.15 -0.06
20 0.3964 -6954.24 0.05 -402.32 0.03
21 0.4045 -6920.10 -0.09 -412.58 0.27
22 0.4155 -6854.86 0.05 -426.96 -0.10
23 0.9639 5049.33 -0.08 -919.31 -0.05
24 0.9803 4934.92 -0.04 -930.37 0.01
25 0.9805 4933.94 0.19 -930.39 0.11
26 0.9831 4910.42 -0.07 -932.33 -0.01
27 1.0625 3695.37 0.03 -990.97 0.04
28 1.1251 2220.44 -0.02 -1044.13 0.09
29 1.1415 1798.48 -0.02 -1059.29 -0.03
30 1.2016 256.62 -0.04 -1118.23 -0.09
31 1.2041 193.25 -0.08 -1120.81 -0.05
32 1.2151 -71.54 -0.01 -1132.07 0.11
33 1.2753 -1324.91 -0.00 -1197.16 0.03
34 1.2946 -1636.17 -0.02 -1218.93 0.03
35 1.3574 -2239.88 0.12 -1290.70 -0.01
36 1.3848 -2290.15 0.01 -1322.31 -0.05
37 2.1108 7367.03 0.01 -1984.46 -0.05
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.
15GT56 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.474 45.486 45.462 ecceobj 0.057 0.058 0.057 incobj 11.340 11.341 11.340 qmin 42.123 42.118 42.129 qmax 49.632 49.673 49.599 amean 45.773 45.788 45.762 amin 45.418 45.434 45.397 amax 46.151 46.168 46.138 emean 0.063 0.064 0.063 emin 0.052 0.052 0.051 emax 0.076 0.077 0.076 imean 10.877 10.879 10.877 imin 10.511 10.516 10.508 imax 11.213 11.216 11.216 excite_mean 0.199 0.199 0.199 fracstop 1.000 1.000 1.000 cjmean 3.074 3.074 3.074 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 183.4 183.1 183.4 kozaiamp 180.0 180.0 180.0