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: 13JR64
# Created Fri Apr 19 01:14:36 2024
# Orbit generated from Bernstein formalism
# Fitting 27 observations of 27
# Arc: 3.12y
# First observation: 2013/04/19
# Last observation: 2016/06/03
Preliminary a, adot, b, bdot, g, gdot:
-0.000149 0.037022 0.000016 -0.004584 0.028390 0.000000
# Chi-squared of fit: 10.84 DOF: 48 RMS: 0.11
# Min/Max residuals: -0.27 0.29
# Exact a, adot, b, bdot, g, gdot:
2.035147E-05 3.693855E-02 -3.253027E-06 -4.573849E-03 2.859407E-02 -1.678300E-03
# Covariance matrix:
1.7541E-13 -1.6024E-13 -4.4524E-15 1.3676E-14 4.3010E-14 -1.1043E-12
-1.6024E-13 4.2910E-13 1.7766E-14 -5.2135E-14 1.1502E-13 4.4535E-12
-4.4524E-15 1.7766E-14 1.2870E-13 -8.7921E-14 5.2541E-15 2.4072E-13
1.3676E-14 -5.2135E-14 -8.7921E-14 1.0705E-13 -1.4037E-14 -7.0821E-13
4.3010E-14 1.1502E-13 5.2541E-15 -1.4037E-14 1.9652E-13 1.3438E-12
-1.1043E-12 4.4535E-12 2.4072E-13 -7.0821E-13 1.3438E-12 6.0306E-11
# lat0 lon0 xBary yBary zBary JD0
8.022775 -117.728289 0.544087 0.118157 -0.838238 2456402.025788
# Heliocentric elements and errors
Epoch: 2456400.5000 = 2013/04/18
Mean Anomaly: 357.53381 +/- 0.009
Argument of Peri: 141.08960 +/- 0.034
Long of Asc Node: 109.51023 +/- 0.002
Inclination: 10.46932 +/- 0.000
Eccentricity: 0.53759294 +/- 0.0001
Semi-Major Axis: 77.06178654 +/- 0.0123
Time of Perihelion: 2458093.2031 +/- 5.9
Perihelion: 35.63391386 +/- 0.0079
Aphelion: 118.48965921 +/- 0.0197
Period (y) 676.4985 +/- 0.16
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -16.98686079 +/- 0.0003
Ecliptic Y -31.14719256 +/- 0.0005
Ecliptic Z 4.88090026 +/- 0.0001
Ecliptic XDOT 0.00316995 +/- 0.0000
Ecliptic YDOT -0.00155861 +/- 0.0000
Ecliptic ZDOT -0.00045594 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 35.81234747 +/- 0.0004
Geocenter to KBO 34.97228330 +/- 0.0005
# Hcoef: 8.80
The following table shows the complete astrometric record for 13JR64. 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 (13JR64) followed by the observatory code and reference code for the source of the astrometry.
2013 04 19.52501 16 07 14.938 -12 44 39.81 24.0r 13JR64 568 C~1XRe 2013 05 08.45928 16 05 45.907 -12 39 24.86 24.5r 13JR64 568 C~1XRe 2013 05 08.50332 16 05 45.674 -12 39 24.16 24.3r 13JR64 568 C~1XRe 2013 05 08.54713 16 05 45.451 -12 39 23.53 24.1r 13JR64 568 C~1XRe 2013 05 09.55421 16 05 40.272 -12 39 07.86 25.0r 13JR64 568 C~1XRe 2013 05 10.55976 16 05 35.060 -12 38 52.38 23.7r 13JR64 568 C~1XRe 2013 06 06.34333 16 03 12.636 -12 33 13.18 13JR64 568 C~1XRe 2013 06 06.42884 16 03 12.162 -12 33 12.36 24.4r 13JR64 568 C~1XRe 2013 08 02.30273 15 59 51.702 -12 34 15.34 23.8r 13JR64 568 C~1XRe 2013 08 05.29266 15 59 48.885 -12 34 53.22 24.1r 13JR64 568 C~1XRe 2014 03 06.62146 16 17 05.213 -13 33 58.45 24.9r 13JR64 568 C~1XRe 2014 03 07.59609 16 17 05.481 -13 33 48.91 13JR64 568 C~1XRe 2014 04 04.51497 16 16 28.096 -13 27 44.87 24.4r 13JR64 568 C~1XRe 2014 05 01.43754 16 14 43.839 -13 20 39.84 24.6r 13JR64 568 C~1XRe 2014 05 01.46926 16 14 43.680 -13 20 39.46 24.2r 13JR64 568 C~1XRe 2014 05 01.48870 16 14 43.579 -13 20 39.09 23.8r 13JR64 568 C~1XRe 2014 05 01.52791 16 14 43.385 -13 20 38.51 24.3r 13JR64 568 C~1XRe 2014 05 04.46606 16 14 29.158 -13 19 53.14 24.1r 13JR64 568 C~1XRe 2014 05 04.48550 16 14 29.069 -13 19 52.99 24.2r 13JR64 568 C~1XRe 2014 05 04.51675 16 14 28.925 -13 19 52.35 24.4r 13JR64 568 C~1XRe 2014 06 21.44054 16 10 19.104 -13 11 18.61 24.5r 13JR64 568 C~1XRe 2014 06 22.41323 16 10 14.530 -13 11 14.80 24.1r 13JR64 568 C~1XRe 2014 07 18.36907 16 08 35.263 -13 11 34.86 24.6r 13JR64 568 C~2LSW 2014 07 18.37716 16 08 35.240 -13 11 34.92 24.3r 13JR64 568 C~1XRe 2015 03 22.57019 16 25 16.249 -14 08 30.22 24.4r 13JR64 568 C~1XRe 2015 08 11.31349 16 16 12.012 -13 54 05.64 23.8r 13JR64 568 C~2LSW 2016 06 03.41257 16 28 46.111 -14 30 03.08 24.8w 13JR64 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 0.02 0.00 0.15
2 0.0518 -1338.94 -0.04 61.07 0.01
3 0.0520 -1342.43 -0.08 61.10 0.01
4 0.0521 -1345.75 0.01 61.10 -0.04
5 0.0548 -1423.15 0.09 61.99 -0.13
6 0.0576 -1500.99 0.01 62.59 -0.27
7 0.1309 -3612.54 0.15 -5.75 -0.04
8 0.1312 -3619.51 -0.15 -6.29 -0.07
9 0.2869 -6487.51 0.02 -640.96 -0.14
10 0.2951 -6520.53 -0.09 -686.24 -0.06
11 0.8791 9026.05 -0.23 -1313.36 0.27
12 0.8818 9028.18 -0.01 -1303.27 0.12
13 0.9582 8425.07 0.04 -1043.29 0.13
14 1.0319 6849.72 0.09 -901.43 0.13
15 1.0320 6847.36 0.04 -901.48 0.01
16 1.0321 6845.84 -0.06 -901.39 0.06
17 1.0322 6842.95 -0.09 -901.33 0.03
18 1.0402 6630.28 -0.02 -894.63 0.09
19 1.0403 6628.97 0.13 -894.72 -0.03
20 1.0404 6626.79 0.29 -894.48 0.17
21 1.1716 2945.15 -0.18 -1063.41 -0.05
22 1.1742 2878.80 -0.01 -1072.15 -0.15
23 1.2453 1458.42 0.06 -1363.91 -0.02
24 1.2453 1458.10 0.07 -1364.03 -0.04
25 1.9221 16459.77 0.01 -2097.78 0.09
26 2.3102 8480.78 -0.04 -2641.87 -0.01
27 3.1236 19710.66 -0.02 -2858.44 -0.22
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.
13JR64 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 76.598 76.634 76.563 ecceobj 0.535 0.535 0.535 incobj 10.462 10.462 10.462 qmin 34.746 34.730 34.707 qmax 123.034 126.706 126.088 amean 77.270 78.766 77.888 amin 75.753 76.316 75.698 amax 79.380 81.286 80.777 emean 0.538 0.547 0.542 emin 0.525 0.530 0.526 emax 0.552 0.562 0.561 imean 8.768 8.739 8.670 imin 7.965 7.967 7.471 imax 9.580 9.661 9.524 excite_mean 0.559 0.568 0.563 fracstop 1.000 1.000 1.000 cjmean 3.059 3.059 3.059 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 199.2 227.1 188.1 kozaiamp 180.0 179.9 180.0