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: 13JK64 # Created Wed Dec 25 02:09:23 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 50 observations of 50 # Arc: 19.08y # First observation: 1999/03/20 # Last observation: 2018/04/19 # Chi-squared of fit: 13.47 DOF: 94 RMS: 0.09 # Min/Max residuals: -0.30 0.20 # Exact a, adot, b, bdot, g, gdot: 2.132579E-05 4.004305E-02 -7.026237E-07 -2.209609E-03 3.105917E-02 -2.734222E-03 # Covariance matrix: 1.8955E-13 -2.0349E-14 -7.1237E-16 5.4391E-16 1.1526E-14 -1.2379E-14 -2.0349E-14 1.0809E-14 8.5284E-16 -5.2504E-16 1.5962E-14 1.2284E-14 -7.1237E-16 8.5284E-16 1.6967E-13 -1.1174E-14 1.5400E-15 1.0437E-15 5.4391E-16 -5.2504E-16 -1.1174E-14 8.6458E-16 -7.0591E-16 -6.5197E-16 1.1526E-14 1.5962E-14 1.5400E-15 -7.0591E-16 8.5981E-14 1.7311E-14 -1.2379E-14 1.2284E-14 1.0437E-15 -6.5197E-16 1.7311E-14 1.5222E-14 # lat0 lon0 xBary yBary zBary JD0 10.953023 -152.940208 0.466719 0.168659 -0.872820 2451257.880813 # Heliocentric elements and errors Epoch: 2451258.5000 = 1999/03/21 Mean Anomaly: 353.51896 +/- 0.001 Argument of Peri: 122.21732 +/- 0.001 Long of Asc Node: 100.26791 +/- 0.000 Inclination: 11.07968 +/- 0.000 Eccentricity: 0.40322229 +/- 0.0000 Semi-Major Axis: 54.74946872 +/- 0.0038 Time of Perihelion: 2453922.3538 +/- 15.1 Perihelion: 32.67326275 +/- 0.0030 Aphelion: 76.82567470 +/- 0.0056 Period (y) 405.1148 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -29.14525462 +/- 0.0003 Ecliptic Y -14.36905189 +/- 0.0001 Ecliptic Z 6.11749689 +/- 0.0001 Ecliptic XDOT 0.00178139 +/- 0.0000 Ecliptic YDOT -0.00304370 +/- 0.0000 Ecliptic ZDOT -0.00023701 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.06573537 +/- 0.0002 Geocenter to KBO 32.19668432 +/- 0.0003 # Hcoef: 7.93
The following table shows the complete astrometric record for 13JK64. 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 (13JK64) followed by the observatory code and reference code for the source of the astrometry.
1999 03 20.380070 13 56 08.65 -00 11 27.9 23.5V 13JK64 645 C~2e9b 1999 03 20.380899 13 56 08.65 -00 11 27.9 13JK64 645 C~2e9b 1999 03 20.383387 13 56 08.64 -00 11 27.8 13JK64 645 C~2e9b 1999 03 22.374335 13 55 59.68 -00 10 18.6 23.5V 13JK64 645 C~2e9b 1999 03 22.375165 13 55 59.68 -00 10 18.6 13JK64 645 C~2e9b 1999 03 22.377653 13 55 59.67 -00 10 18.5 13JK64 645 C~2e9b 2001 05 24.262622 14 07 23.09 -01 34 24.6 23.4V 13JK64 645 C~2e9b 2001 05 24.263451 14 07 23.09 -01 34 24.6 13JK64 645 C~2e9b 2001 05 24.265939 14 07 23.08 -01 34 24.6 13JK64 645 C~2e9b 2013 04 09.55515 15 55 58.457 -12 35 42.79 23.4r 13JK64 568 C~1XRd 2013 04 10.52413 15 55 54.567 -12 35 24.67 22.9r 13JK64 568 C~1XRd 2013 04 10.56492 15 55 54.396 -12 35 23.94 23.0r 13JK64 568 C~1XRd 2013 04 19.57778 15 55 14.557 -12 32 33.17 23.2r 13JK64 568 C~1XRd 2013 05 04.56299 15 53 56.927 -12 27 52.89 13JK64 568 C~1XRd 2013 05 04.56389 15 53 56.909 -12 27 52.92 13JK64 568 C~1XRd 2013 05 04.56481 15 53 56.920 -12 27 52.76 13JK64 568 C~1XRd 2013 05 07.45588 15 53 40.761 -12 27 00.99 22.8r 13JK64 568 C~1XRd 2013 05 07.50007 15 53 40.508 -12 27 00.25 23.0r 13JK64 568 C~1XRd 2013 05 07.54026 15 53 40.283 -12 26 59.53 23.0r 13JK64 568 C~1XRd 2013 05 09.50053 15 53 29.167 -12 26 25.13 23.1r 13JK64 568 C~1XRd 2013 05 10.50767 15 53 23.419 -12 26 07.55 22.9r 13JK64 568 C~1XRd 2013 06 04.38901 15 50 59.490 -12 20 09.28 22.9r 13JK64 568 C~1XRd 2013 06 06.39243 15 50 48.294 -12 19 47.90 22.8r 13JK64 568 C~1XRd 2013 07 02.32839 15 48 41.814 -12 17 31.00 23.4r 13JK64 568 C~1XRd 2013 07 03.36611 15 48 37.710 -12 17 31.26 23.1r 13JK64 568 C~1XRd 2014 03 06.58616 16 05 53.797 -13 30 48.68 23.1r 13JK64 568 C~1XRd 2014 03 06.59120 16 05 53.798 -13 30 48.56 23.0r 13JK64 568 C~1XRd 2014 03 07.56585 16 05 53.713 -13 30 38.45 23.3r 13JK64 568 C~1XRd 2014 05 01.40606 16 03 04.928 -13 16 22.16 22.9r 13JK64 568 C~1XRd 2014 05 01.45743 16 03 04.657 -13 16 21.31 23.0r 13JK64 568 C~1XRd 2014 05 01.51609 16 03 04.328 -13 16 20.34 23.1r 13JK64 568 C~1XRd 2014 05 04.40376 16 02 48.780 -13 15 30.86 23.0r 13JK64 568 C~1XRd 2014 05 04.45442 16 02 48.501 -13 15 29.99 22.9r 13JK64 568 C~1XRd 2014 05 04.50508 16 02 48.214 -13 15 29.09 23.0r 13JK64 568 C~1XRd 2014 05 22.53753 16 01 05.127 -13 10 46.58 22.7r 13JK64 568 C~1XRd 2014 05 25.49675 16 00 47.790 -13 10 06.08 22.7r 13JK64 568 C~1XRd 2014 06 02.47294 16 00 01.382 -13 08 27.86 22.9r 13JK64 568 C~1XRd 2014 06 21.43206 15 58 18.698 -13 05 53.68 22.9r 13JK64 568 C~1XRd 2014 06 22.40477 15 58 13.912 -13 05 49.12 23.3r 13JK64 568 C~1XRd 2014 06 30.42685 15 57 36.716 -13 05 26.01 23.3r 13JK64 568 C~1XRd 2014 07 01.38714 15 57 32.585 -13 05 24.85 22.9r 13JK64 568 C~1XRd 2014 07 18.36111 15 56 32.515 -13 06 09.27 22.9r 13JK64 568 C~1XRd 2014 07 26.28881 15 56 14.011 -13 07 11.67 23.1r 13JK64 568 C~1XRd 2015 03 22.57876 16 14 20.471 -14 12 31.24 23.1r 13JK64 568 C~1XRd 2015 04 18.56543 16 12 56.949 -14 05 50.43 22.9r 13JK64 568 C~1XRd 2016 05 06.53851 16 20 12.826 -14 45 20.68 22.9r 13JK64 568 C~2LSW 2016 05 06.59080 16 20 12.532 -14 45 19.81 25.9u 13JK64 568 C~2LSW 2016 05 06.60444 16 20 12.462 -14 45 19.71 22.9r 13JK64 568 C~2LSW 2018 04 18.405720 16 39 12.76 -16 12 56.0 24.1G 13JK64 705 C~2rXx 2018 04 19.457730 16 39 08.64 -16 12 43.8 23.0G 13JK64 705 C~2rXx
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 -0.21 0.00 -0.01
2 0.0000 0.00 -0.16 0.00 -0.04
3 0.0000 0.00 -0.14 0.00 -0.03
4 0.0055 0.00 0.04 0.00 0.06
5 0.0055 0.00 0.10 0.00 0.03
6 0.0055 0.00 0.12 0.00 0.05
7 2.1790 0.00 0.06 0.00 -0.07
8 2.1790 0.00 0.12 0.00 -0.08
9 2.1790 0.00 0.15 0.00 -0.11
10 14.0566 0.00 -0.00 0.00 0.01
11 14.0593 0.00 0.02 0.00 0.01
12 14.0594 0.00 0.01 0.00 -0.02
13 14.0840 0.00 0.01 0.00 0.09
14 14.1251 0.00 0.01 0.00 0.02
15 14.1251 0.00 -0.19 0.00 -0.02
16 14.1251 0.00 0.05 0.00 0.12
17 14.1330 0.00 -0.08 0.00 0.11
18 14.1331 0.00 -0.06 0.00 0.07
19 14.1332 0.00 0.03 0.00 0.07
20 14.1386 0.00 -0.07 0.00 0.06
21 14.1413 0.00 -0.02 0.00 0.20
22 14.2095 0.00 0.01 0.00 -0.08
23 14.2150 0.00 0.15 0.00 0.11
24 14.2860 0.00 -0.04 0.00 0.07
25 14.2888 0.00 -0.04 0.00 0.12
26 14.9629 0.00 0.06 0.00 -0.09
27 14.9629 0.00 0.09 0.00 -0.02
28 14.9656 0.00 0.07 0.00 -0.01
29 15.1157 0.00 0.04 0.00 -0.06
30 15.1159 0.00 0.16 0.00 -0.09
31 15.1160 0.00 0.00 0.00 -0.13
32 15.1240 0.00 0.05 0.00 -0.04
33 15.1241 0.00 0.08 0.00 -0.03
34 15.1242 0.00 0.01 0.00 0.01
35 15.1736 0.00 -0.07 0.00 -0.12
36 15.1817 0.00 -0.01 0.00 -0.10
37 15.2035 0.00 -0.04 0.00 0.05
38 15.2554 0.00 -0.04 0.00 -0.07
39 15.2581 0.00 0.12 0.00 -0.01
40 15.2801 0.00 -0.02 0.00 -0.10
41 15.2827 0.00 0.03 0.00 0.01
42 15.3292 0.00 -0.01 0.00 -0.03
43 15.3509 0.00 0.08 0.00 -0.03
44 16.0060 0.00 0.12 0.00 0.11
45 16.0799 0.00 -0.03 0.00 0.15
46 17.1312 0.00 -0.07 0.00 0.05
47 17.1313 0.00 -0.17 0.00 0.16
48 17.1313 0.00 -0.10 0.00 0.06
49 19.0802 0.00 0.12 0.00 -0.19
50 19.0830 0.00 -0.11 0.00 -0.30
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.
13JK64 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 54.720 54.720 54.720 ecceobj 0.403 0.403 0.403 incobj 11.082 11.082 11.082 qmin 31.953 31.953 31.953 qmax 80.365 80.349 80.378 amean 55.462 55.462 55.462 amin 54.720 54.720 54.720 amax 56.418 56.434 56.424 emean 0.412 0.412 0.412 emin 0.400 0.399 0.400 emax 0.424 0.424 0.425 imean 9.288 9.314 9.288 imin 8.907 8.907 8.908 imax 9.729 9.803 9.728 excite_mean 0.442 0.442 0.442 fracstop 1.000 1.000 1.000 cjmean 2.984 2.984 2.984 libcent 0 179.5 179.6 179.8 libamp 0 77.0 77.7 77.4 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 199.7 201.6 199.5 kozaiamp 73.0 76.3 73.1