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: 13JL64
# Created Sat Apr 27 01:14:40 2024
# Orbit generated from Bernstein formalism
# Fitting 39 observations of 39
# Arc: 3.97y
# First observation: 2013/04/09
# Last observation: 2017/03/30
Preliminary a, adot, b, bdot, g, gdot:
-0.000144 0.022594 -0.000165 -0.011456 0.023754 0.000000
# Chi-squared of fit: 9.34 DOF: 72 RMS: 0.09
# Min/Max residuals: -0.31 0.23
# Exact a, adot, b, bdot, g, gdot:
1.508625E-05 2.318845E-02 -7.292789E-06 -1.181003E-02 2.457102E-02 7.320365E-03
# Covariance matrix:
1.4170E-13 -4.4397E-14 -3.2325E-15 4.5619E-15 8.8562E-14 -8.7121E-14
-4.4397E-14 1.6880E-13 3.2383E-14 -8.2113E-14 1.1219E-13 1.9858E-12
-3.2325E-15 3.2383E-14 8.9541E-14 -5.1772E-14 2.4094E-14 4.4697E-13
4.5619E-15 -8.2113E-14 -5.1772E-14 7.2202E-14 -6.7126E-14 -1.1375E-12
8.8562E-14 1.1219E-13 2.4094E-14 -6.7126E-14 2.4899E-13 1.6619E-12
-8.7121E-14 1.9858E-12 4.4697E-13 -1.1375E-12 1.6619E-12 2.7537E-11
# lat0 lon0 xBary yBary zBary JD0
7.589414 -120.159407 0.645548 0.101445 -0.761230 2456392.055928
# Heliocentric elements and errors
Epoch: 2456390.5000 = 2013/04/08
Mean Anomaly: 28.70330 +/- 0.009
Argument of Peri: 103.64808 +/- 0.019
Long of Asc Node: 73.34546 +/- 0.000
Inclination: 27.72352 +/- 0.000
Eccentricity: 0.36666931 +/- 0.0002
Semi-Major Axis: 56.63913136 +/- 0.0106
Time of Perihelion: 2443976.7621 +/- 1.6
Perihelion: 35.87130023 +/- 0.0134
Aphelion: 77.40696249 +/- 0.0186
Period (y) 426.2683 +/- 0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -21.21084831 +/- 0.0004
Ecliptic Y -35.21827962 +/- 0.0007
Ecliptic Z 5.37490674 +/- 0.0001
Ecliptic XDOT 0.00173420 +/- 0.0000
Ecliptic YDOT -0.00214712 +/- 0.0000
Ecliptic ZDOT -0.00119655 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.46223496 +/- 0.0006
Geocenter to KBO 40.69835644 +/- 0.0008
# Hcoef: 7.42
The following table shows the complete astrometric record for 13JL64. 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 (13JL64) followed by the observatory code and reference code for the source of the astrometry.
2013 04 09.55515 15 57 12.947 -12 41 38.13 23.5r 13JL64 568 C~1XRd 2013 04 10.52413 15 57 09.533 -12 41 26.86 23.8r 13JL64 568 C~1XRd 2013 04 10.56492 15 57 09.378 -12 41 26.37 23.7r 13JL64 568 C~1XRd 2013 04 19.57778 15 56 34.648 -12 39 39.67 13JL64 568 C~1XRd 2013 05 07.45588 15 55 14.026 -12 36 13.41 23.4r 13JL64 568 C~1XRd 2013 05 07.50007 15 55 13.820 -12 36 12.87 23.0r 13JL64 568 C~1XRd 2013 05 07.54026 15 55 13.618 -12 36 12.53 23.4r 13JL64 568 C~1XRd 2013 05 09.49657 15 55 04.128 -12 35 51.51 23.4r 13JL64 568 C~1XRd 2013 05 10.50767 15 54 59.204 -12 35 40.65 13JL64 568 C~1XRd 2013 06 04.38499 15 52 56.056 -12 32 14.67 13JL64 568 C~1XRd 2013 06 06.38838 15 52 46.416 -12 32 03.89 23.5r 13JL64 568 C~1XRd 2013 07 02.34127 15 50 56.027 -12 31 32.01 23.6r 13JL64 568 C~1XRd 2013 07 03.37823 15 50 52.356 -12 31 35.10 23.9r 13JL64 568 C~1XRd 2014 03 06.58616 16 03 06.121 -13 41 46.33 24.1r 13JL64 568 C~1XRd 2014 05 01.40606 16 00 29.578 -13 33 14.65 23.7r 13JL64 568 C~1XRd 2014 05 01.45743 16 00 29.336 -13 33 14.14 23.8r 13JL64 568 C~1XRd 2014 05 01.51609 16 00 29.052 -13 33 13.77 13JL64 568 C~1XRd 2014 05 04.40376 16 00 15.673 -13 32 42.99 23.1r 13JL64 568 C~1XRd 2014 05 04.45442 16 00 15.435 -13 32 42.53 23.7r 13JL64 568 C~1XRd 2014 05 04.50508 16 00 15.181 -13 32 41.91 23.5r 13JL64 568 C~1XRd 2014 05 22.53753 15 58 47.075 -13 29 50.95 23.8r 13JL64 568 C~1XRd 2014 05 25.49675 15 58 32.298 -13 29 27.48 23.4r 13JL64 568 C~1XRd 2014 06 02.47294 15 57 52.820 -13 28 32.25 23.6r 13JL64 568 C~1XRd 2014 06 21.43206 15 56 25.179 -13 27 21.15 23.5r 13JL64 568 C~1XRd 2014 06 22.40477 15 56 21.072 -13 27 19.97 23.6r 13JL64 568 C~1XRd 2014 07 01.38714 15 55 45.395 -13 27 23.66 23.8r 13JL64 568 C~1XRd 2014 07 18.36111 15 54 52.310 -13 28 40.49 23.6r 13JL64 568 C~1XRd 2014 07 26.28881 15 54 35.093 -13 29 48.90 23.8r 13JL64 568 C~1XRd 2015 03 22.59524 16 07 28.192 -14 34 00.32 23.6r 13JL64 568 C~1XRd 2015 08 11.31763 15 58 57.206 -14 27 14.46 23.6r 13JL64 568 C~2LSW 2016 05 07.49747 16 09 26.371 -15 20 36.73 23.8r 13JL64 568 C~2LSW 2016 05 07.56344 16 09 26.058 -15 20 36.18 24.0r 13JL64 568 C~2LSW 2016 05 11.46052 16 09 07.462 -15 20 02.63 23.5r 13JL64 568 C~2LSW 2016 05 11.52621 16 09 07.139 -15 20 02.22 22.5r 13JL64 568 C~2LSW 2016 05 29.39274 16 07 38.993 -15 17 47.15 23.6w 13JL64 568 C~2LSW 2016 06 03.43279 16 07 14.141 -15 17 16.65 23.7w 13JL64 568 C~2LSW 2017 01 31.66055 16 16 08.349 -16 17 33.16 24.0w 13JL64 568 C~2LSW 2017 01 31.66166 16 16 08.353 -16 17 33.04 23.9w 13JL64 568 C~2LSW 2017 03 30.60077 16 16 29.080 -16 17 51.44 24.1w 13JL64 568 C~2LSW
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 -0.03 0.00 -0.06
2 0.0027 -51.21 0.07 0.80 -0.06
3 0.0028 -53.53 -0.01 0.81 -0.07
4 0.0274 -572.86 -0.18 0.96 -0.05
5 0.0764 -1770.14 -0.02 -40.40 0.01
6 0.0765 -1773.20 0.12 -40.49 0.10
7 0.0766 -1776.16 0.08 -40.77 -0.01
8 0.0820 -1916.44 -0.02 -48.93 0.00
9 0.0847 -1989.22 0.13 -53.22 0.23
10 0.1529 -3795.98 0.09 -226.59 -0.07
11 0.1583 -3936.32 -0.02 -245.54 0.02
12 0.2294 -5524.27 0.01 -553.70 -0.05
13 0.2322 -5576.21 -0.10 -568.05 0.03
14 0.9063 5782.05 0.15 -2492.62 -0.05
15 1.0591 3442.37 -0.05 -2448.30 0.01
16 1.0593 3438.81 -0.08 -2448.51 -0.03
17 1.0594 3434.68 -0.16 -2448.98 -0.31
18 1.0673 3237.31 -0.03 -2458.19 0.08
19 1.0675 3233.82 0.04 -2458.44 0.03
20 1.0676 3230.07 -0.15 -2458.58 0.09
21 1.1170 1936.83 0.05 -2551.45 0.20
22 1.1251 1720.99 -0.14 -2572.32 0.02
23 1.1469 1145.91 -0.05 -2635.64 0.00
24 1.1988 -120.13 0.04 -2828.05 -0.14
25 1.2015 -179.01 0.18 -2839.22 0.03
26 1.2261 -687.61 0.01 -2950.06 0.04
27 1.2726 -1429.50 -0.02 -3185.37 0.06
28 1.2943 -1661.05 -0.03 -3304.39 -0.01
29 1.9495 10144.59 0.07 -4818.99 -0.01
30 2.3375 2781.72 0.04 -5894.93 -0.08
31 3.0772 12375.15 0.05 -7238.94 0.06
32 3.0774 12370.59 0.10 -7239.27 0.04
33 3.0880 12099.05 -0.01 -7257.86 0.12
34 3.0882 12094.37 0.01 -7258.36 -0.03
35 3.1371 10812.45 -0.04 -7371.38 -0.12
36 3.1509 10452.64 -0.02 -7411.10 0.01
37 3.8141 18761.59 -0.04 -9521.22 -0.10
38 3.8141 18761.62 -0.05 -9521.09 0.03
39 3.9727 19061.04 0.02 -9484.55 0.04
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.
13JL64 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 56.306 56.337 56.276 ecceobj 0.362 0.363 0.362 incobj 27.722 27.722 27.722 qmin 35.185 35.120 35.328 qmax 79.833 79.876 79.304 amean 56.938 56.934 56.809 amin 56.259 56.207 56.198 amax 57.816 57.779 57.591 emean 0.358 0.360 0.357 emin 0.335 0.343 0.337 emax 0.381 0.383 0.377 imean 26.840 26.722 26.781 imin 26.088 26.006 26.189 imax 27.780 27.317 27.530 excite_mean 0.576 0.576 0.575 fracstop 1.000 1.000 1.000 cjmean 2.820 2.821 2.821 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 196.6 177.3 187.9 kozaiamp 179.9 179.9 180.0