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: 13JT65
# Created Sun Nov 24 02:09:24 2024
# Orbit generated from Bernstein formalism
# Fitting 22 observations of 22
# Arc: 1.87y
# First observation: 2013/05/08
# Last observation: 2015/03/22
Preliminary a, adot, b, bdot, g, gdot:
-0.000050 0.023582 0.000000 0.001062 0.023736 0.000000
# Chi-squared of fit: 10.27 DOF: 38 RMS: 0.12
# Min/Max residuals: -0.23 0.25
# Exact a, adot, b, bdot, g, gdot:
1.649514E-05 2.388824E-02 5.333017E-07 1.073858E-03 2.412925E-02 4.449843E-03
# Covariance matrix:
1.8805E-13 -1.8687E-13 1.0605E-15 2.7338E-15 1.1133E-13 -5.2419E-13
-1.8687E-13 7.8865E-13 1.4589E-16 1.0159E-14 1.4725E-13 1.4609E-11
1.0605E-15 1.4589E-16 1.3821E-13 -1.1669E-13 3.3677E-15 3.4545E-14
2.7338E-15 1.0159E-14 -1.1669E-13 1.9400E-13 1.4663E-14 3.6227E-13
1.1133E-13 1.4725E-13 3.3677E-15 1.4663E-14 4.3422E-13 7.3114E-12
-5.2419E-13 1.4609E-11 3.4545E-14 3.6227E-13 7.3114E-12 3.9294E-10
# lat0 lon0 xBary yBary zBary JD0
8.346507 -117.470259 0.255194 0.142110 -0.968559 2456420.972168
# Heliocentric elements and errors
Epoch: 2456420.5000 = 2013/05/08
Mean Anomaly: 53.55184 +/- 0.035
Argument of Peri: 357.63292 +/- 0.067
Long of Asc Node: 170.28934 +/- 0.007
Inclination: 8.57374 +/- 0.000
Eccentricity: 0.19803380 +/- 0.0008
Semi-Major Axis: 46.48537687 +/- 0.0178
Time of Perihelion: 2439200.0364 +/- 5.4
Perihelion: 37.27970089 +/- 0.0419
Aphelion: 55.69105286 +/- 0.0449
Period (y) 316.9441 +/- 0.18
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -19.59179395 +/- 0.0005
Ecliptic Y -37.12988837 +/- 0.0010
Ecliptic Z 6.01598124 +/- 0.0002
Ecliptic XDOT 0.00217629 +/- 0.0000
Ecliptic YDOT -0.00167782 +/- 0.0000
Ecliptic ZDOT 0.00019399 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.41060045 +/- 0.0009
Geocenter to KBO 41.44348487 +/- 0.0011
# Hcoef: 7.93
The following table shows the complete astrometric record for 13JT65. 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 (13JT65) followed by the observatory code and reference code for the source of the astrometry.
2013 05 08.47139 16 08 31.654 -12 28 28.97 24.1r 13JT65 568 C~1XRg 2013 05 08.51523 16 08 31.478 -12 28 28.40 24.2r 13JT65 568 C~1XRg 2013 05 08.55905 16 08 31.256 -12 28 27.51 24.3r 13JT65 568 C~1XRg 2013 05 09.56658 16 08 26.669 -12 28 10.85 24.3r 13JT65 568 C~1XRg 2013 05 10.57167 16 08 22.075 -12 27 54.28 24.4r 13JT65 568 C~1XRg 2013 06 08.31277 16 06 07.027 -12 21 19.22 13JT65 568 C~1XRg 2013 06 12.46117 16 05 48.209 -12 20 37.87 23.8r 13JT65 568 C~1XRg 2013 06 13.45477 16 05 43.792 -12 20 28.83 24.1r 13JT65 568 C~1XRg 2013 07 02.38082 16 04 27.370 -12 18 31.28 24.2r 13JT65 568 C~1XRg 2013 07 04.37206 16 04 20.408 -12 18 25.69 24.3r 13JT65 568 C~1XRg 2013 08 02.31452 16 03 11.192 -12 19 32.06 24.0r 13JT65 568 C~1XRg 2014 03 06.62146 16 16 47.001 -12 57 03.40 24.1r 13JT65 568 C~1XRg 2014 03 07.59609 16 16 46.959 -12 56 50.71 24.2r 13JT65 568 C~1XRg 2014 05 01.47703 16 14 34.765 -12 42 00.68 24.5r 13JT65 568 C~1XRg 2014 05 01.48870 16 14 34.719 -12 42 00.78 13JT65 568 C~1XRg 2014 05 01.53752 16 14 34.491 -12 41 59.50 24.2r 13JT65 568 C~1XRg 2014 05 01.54921 16 14 34.444 -12 41 59.48 23.9r 13JT65 568 C~1XRg 2014 05 22.52190 16 12 59.156 -12 36 31.26 23.9r 13JT65 568 C~1XRg 2014 05 25.48096 16 12 45.127 -12 35 51.00 24.2r 13JT65 568 C~1XRg 2014 07 18.36907 16 09 08.758 -12 30 12.47 24.1r 13JT65 568 C~2LSX 2015 03 22.59103 16 22 00.655 -13 03 59.54 24.2r 13JT65 568 C~1XRg 2015 03 22.62539 16 22 00.608 -13 03 58.86 24.2r 13JT65 568 C~1XRg
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 -0.17 0.00 0.04
2 0.0001 -2.64 0.24 0.08 -0.05
3 0.0002 -6.00 -0.08 0.34 0.05
4 0.0030 -75.11 -0.14 4.07 -0.01
5 0.0058 -144.32 -0.09 7.70 0.03
6 0.0844 -2161.79 0.20 21.49 -0.15
7 0.0958 -2440.40 -0.11 9.61 -0.01
8 0.0985 -2505.67 0.01 6.16 -0.09
9 0.1503 -3627.65 -0.02 -92.47 0.06
10 0.1558 -3728.89 0.08 -106.55 -0.08
11 0.2350 -4711.96 0.05 -366.81 0.19
12 0.8272 7442.97 0.19 -351.24 -0.14
13 0.8299 7440.08 0.00 -338.86 0.13
14 0.9802 5375.35 0.07 186.35 0.06
15 0.9802 5374.70 0.19 186.13 -0.22
16 0.9803 5371.19 -0.15 186.78 0.18
17 0.9804 5370.51 -0.06 186.67 0.01
18 1.0378 3938.66 -0.23 254.10 0.25
19 1.0459 3729.32 0.05 255.91 -0.09
20 1.1934 553.16 0.00 0.30 -0.07
21 1.8703 12038.46 -0.02 53.93 -0.12
22 1.8704 12037.66 -0.01 54.48 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.
13JT65 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.299 46.351 46.248 ecceobj 0.194 0.196 0.192 incobj 8.586 8.586 8.586 qmin 36.724 36.630 36.722 qmax 57.169 57.428 56.988 amean 46.691 46.747 46.651 amin 46.290 46.337 46.236 amax 47.187 47.258 47.151 emean 0.197 0.199 0.195 emin 0.183 0.185 0.181 emax 0.212 0.215 0.210 imean 8.114 8.102 8.108 imin 7.422 7.413 7.400 imax 8.906 8.913 8.904 excite_mean 0.242 0.244 0.241 fracstop 1.000 1.000 1.000 cjmean 3.062 3.062 3.062 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 172.7 172.5 172.4 kozaiamp 180.0 179.9 180.0