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: 15GC59
# Created Sun Nov 24 02:10:18 2024
# Orbit generated from Bernstein formalism
# Fitting 29 observations of 29
# Arc: 2.35y
# First observation: 2015/02/17
# Last observation: 2017/06/25
Preliminary a, adot, b, bdot, g, gdot:
-0.000079 0.021751 0.000003 0.000254 0.022983 0.000000
# Chi-squared of fit: 8.96 DOF: 52 RMS: 0.10
# Min/Max residuals: -0.28 0.24
# Exact a, adot, b, bdot, g, gdot:
1.454509E-05 2.166725E-02 3.125907E-07 2.532901E-04 2.301180E-02 -2.507768E-04
# Covariance matrix:
1.8315E-13 4.5267E-16 -1.2794E-15 1.9204E-15 1.4072E-13 2.8745E-12
4.5267E-16 3.3103E-13 -2.6744E-15 6.4984E-15 2.3170E-13 1.0422E-11
-1.2794E-15 -2.6744E-15 1.0790E-13 -8.2885E-14 -3.1896E-15 -1.2484E-13
1.9204E-15 6.4984E-15 -8.2885E-14 1.1912E-13 6.3617E-15 3.3729E-13
1.4072E-13 2.3170E-13 -3.1896E-15 6.3617E-15 3.1124E-13 9.9628E-12
2.8745E-12 1.0422E-11 -1.2484E-13 3.3729E-13 9.9628E-12 5.4681E-10
# lat0 lon0 xBary yBary zBary JD0
1.869207 -152.920304 0.842364 0.016809 -0.510825 2457071.101558
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 252.96471 +/- 0.668
Argument of Peri: 179.48156 +/- 0.662
Long of Asc Node: 136.80110 +/- 0.025
Inclination: 1.97602 +/- 0.000
Eccentricity: 0.03008139 +/- 0.0010
Semi-Major Axis: 43.55795107 +/- 0.0034
Time of Perihelion: 2488289.8666 +/- 194.8
Perihelion: 42.24766734 +/- 0.0441
Aphelion: 44.86823480 +/- 0.0441
Period (y) 287.4811 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -39.51275832 +/- 0.0009
Ecliptic Y -19.25452125 +/- 0.0005
Ecliptic Z 1.41746546 +/- 0.0000
Ecliptic XDOT 0.00119730 +/- 0.0000
Ecliptic YDOT -0.00228683 +/- 0.0000
Ecliptic ZDOT 0.00002924 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.97731082 +/- 0.0009
Geocenter to KBO 43.45596835 +/- 0.0011
# Hcoef: 8.32
The following table shows the complete astrometric record for 15GC59. 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 (15GC59) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.60078 13 43 14.788 -08 41 17.48 24.3r 15GC59 568 C~2nvc 2015 02 17.64179 13 43 14.711 -08 41 16.91 24.6r 15GC59 568 C~2nvc 2015 02 20.63493 13 43 08.892 -08 40 36.14 24.6r 15GC59 568 C~2nvc 2015 03 18.57924 13 41 52.714 -08 32 26.65 25.1r 15GC59 568 C~2nvc 2015 03 18.62665 13 41 52.539 -08 32 25.62 24.6r 15GC59 568 C~2nvc 2015 03 20.58351 13 41 45.251 -08 31 40.65 25.6r 15GC59 568 C~2nvc 2015 04 11.51839 13 40 14.679 -08 22 40.16 24.8r 15GC59 568 C~2nvc 2015 04 13.38199 13 40 06.549 -08 21 52.58 24.7r 15GC59 568 C~2nvc 2015 04 13.44320 13 40 06.278 -08 21 50.96 24.6r 15GC59 568 C~2nvc 2015 04 13.52553 13 40 05.914 -08 21 48.94 24.8r 15GC59 568 C~2nvc 2015 04 19.49336 13 39 39.716 -08 19 17.33 24.6r 15GC59 568 C~2nvc 2015 05 18.34540 13 37 40.860 -08 08 11.25 24.6r 15GC59 568 C~2nvc 2015 06 20.29539 13 36 11.999 -08 00 39.08 25.0r 15GC59 568 C~2nvc 2015 06 20.33619 13 36 11.937 -08 00 38.96 24.5r 15GC59 568 C~2nvc 2015 07 14.29246 13 35 57.395 -08 00 14.59 25.3r 15GC59 568 C~2nvc 2015 07 20.28549 13 36 01.167 -08 00 52.10 25.2r 15GC59 568 C~2nvc 2016 02 04.62240 13 48 13.955 -09 09 11.15 24.6w 15GC59 568 C~2nvc 2016 02 11.60562 13 48 07.602 -09 08 15.78 24.2w 15GC59 568 C~2nvc 2016 03 11.61299 13 47 00.075 -09 00 45.83 24.9w 15GC59 568 C~2nvc 2016 04 03.48173 13 45 32.424 -08 51 58.31 24.8w 15GC59 568 C~2nvc 2016 04 09.46288 13 45 06.748 -08 49 28.53 24.9w 15GC59 568 C~2nvc 2016 05 02.35180 13 43 27.048 -08 40 02.26 24.9w 15GC59 568 C~2nvc 2016 05 07.35515 13 43 06.193 -08 38 07.02 24.7w 15GC59 568 C~2nvc 2016 05 29.33555 13 41 45.759 -08 30 56.78 25.2w 15GC59 568 C~2nvc 2016 06 04.39796 13 41 27.963 -08 29 26.21 24.8w 15GC59 568 C~2nvc 2016 06 27.32960 13 40 43.638 -08 26 03.71 25.4w 15GC59 568 C~2nvc 2016 07 07.31994 13 40 37.054 -08 25 51.47 24.3w 15GC59 568 C~2nvc 2017 03 30.49709 13 50 37.604 -09 19 43.46 24.8w 15GC59 568 C~2nvc 2017 06 25.27772 13 45 29.315 -08 52 08.56 25.4w 15GC59 568 C~2nvc
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 0.07 0.00 -0.03
2 0.0001 -1.27 0.07 0.12 0.01
3 0.0083 -96.43 0.01 7.27 -0.09
4 0.0793 -1326.65 -0.08 58.89 -0.07
5 0.0795 -1329.44 -0.02 58.92 -0.10
6 0.0848 -1446.49 0.08 62.06 0.13
7 0.1449 -2894.95 0.07 83.09 -0.05
8 0.1500 -3024.66 0.02 84.03 0.04
9 0.1502 -3029.00 0.02 84.09 0.11
10 0.1504 -3034.77 0.09 84.03 0.04
11 0.1667 -3452.19 -0.28 85.36 -0.03
12 0.2457 -5339.02 -0.18 69.51 -0.06
13 0.3359 -6734.10 -0.03 13.23 0.10
14 0.3360 -6735.00 0.09 13.00 -0.02
15 0.4016 -6945.38 0.24 -42.62 0.06
16 0.4180 -6879.49 -0.10 -57.27 -0.05
17 0.9638 4739.42 -0.06 17.86 0.20
18 0.9829 4631.75 0.19 36.21 -0.03
19 1.0623 3536.47 -0.21 101.12 -0.07
20 1.1249 2134.68 -0.02 131.12 -0.09
21 1.1413 1725.69 0.01 135.17 -0.05
22 1.2040 142.79 -0.15 135.35 0.09
23 1.2177 -187.24 0.12 132.14 0.09
24 1.2779 -1455.22 -0.02 105.71 -0.11
25 1.2944 -1734.15 -0.03 95.38 -0.09
26 1.3572 -2420.69 0.09 47.86 0.09
27 1.3846 -2516.25 -0.02 24.12 0.02
28 2.1133 6954.05 0.04 180.29 0.08
29 2.3509 2095.29 0.01 105.10 -0.10
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.
15GC59 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.168 43.176 43.160 ecceobj 0.036 0.037 0.035 incobj 1.979 1.979 1.979 qmin 41.101 41.166 41.166 qmax 46.021 45.988 45.902 amean 43.452 43.460 43.444 amin 43.117 43.125 43.104 amax 43.799 43.808 43.782 emean 0.034 0.034 0.033 emin 0.016 0.017 0.014 emax 0.051 0.050 0.049 imean 1.895 1.892 1.889 imin 0.959 0.958 0.959 imax 2.592 2.588 2.586 excite_mean 0.048 0.048 0.047 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 180.1 180.8 182.1 kozaiamp 180.0 180.0 180.0