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: 13JO64
# Created Tue Jan 21 02:09:37 2025
# Orbit generated from Bernstein formalism
# Fitting 30 observations of 30
# Arc: 3.82y
# First observation: 2013/04/09
# Last observation: 2017/02/02
Preliminary a, adot, b, bdot, g, gdot:
0.000160 0.038991 0.000047 0.003513 0.028310 0.000000
# Chi-squared of fit: 7.30 DOF: 54 RMS: 0.09
# Min/Max residuals: -0.36 0.27
# Exact a, adot, b, bdot, g, gdot:
2.154788E-05 3.995055E-02 1.550324E-06 3.596147E-03 2.885062E-02 4.229564E-03
# Covariance matrix:
1.6619E-13 -1.0925E-13 -1.5467E-15 -2.3357E-16 9.9453E-14 -3.5678E-13
-1.0925E-13 2.8973E-13 -5.8421E-15 1.7685E-14 6.6171E-14 1.9751E-12
-1.5467E-15 -5.8421E-15 9.3505E-14 -5.8327E-14 -7.4317E-15 -5.9650E-14
-2.3357E-16 1.7685E-14 -5.8327E-14 7.7189E-14 1.3131E-14 1.7092E-13
9.9453E-14 6.6171E-14 -7.4317E-15 1.3131E-14 2.4029E-13 8.3648E-13
-3.5678E-13 1.9751E-12 -5.9650E-14 1.7092E-13 8.3648E-13 1.8440E-11
# lat0 lon0 xBary yBary zBary JD0
6.933875 -121.780366 0.623779 0.094877 -0.779993 2456392.040188
# Heliocentric elements and errors
Epoch: 2456390.5000 = 2013/04/08
Mean Anomaly: 1.10228 +/- 0.001
Argument of Peri: 40.50592 +/- 0.014
Long of Asc Node: 185.23095 +/- 0.002
Inclination: 8.58284 +/- 0.000
Eccentricity: 0.75237818 +/- 0.0001
Semi-Major Axis: 141.84499494 +/- 0.0579
Time of Perihelion: 2454501.1577 +/- 2.1
Perihelion: 35.12391571 +/- 0.0202
Aphelion: 248.56607418 +/- 0.1024
Period (y) 1689.3873 +/- 1.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -19.06413371 +/- 0.0003
Ecliptic Y -29.58640796 +/- 0.0005
Ecliptic Z 4.18453200 +/- 0.0001
Ecliptic XDOT 0.00302836 +/- 0.0000
Ecliptic YDOT -0.00230002 +/- 0.0000
Ecliptic ZDOT 0.00038737 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 35.44442182 +/- 0.0004
Geocenter to KBO 34.66130012 +/- 0.0006
# Hcoef: 8.15
The following table shows the complete astrometric record for 13JO64. 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 (13JO64) followed by the observatory code and reference code for the source of the astrometry.
2013 04 09.53941 15 50 12.075 -12 59 50.19 23.5r 13JO64 568 C~1XRd 2013 04 10.50850 15 50 08.527 -12 59 29.12 23.5r 13JO64 568 C~1XRd 2013 04 10.54891 15 50 08.373 -12 59 28.22 23.5r 13JO64 568 C~1XRd 2013 04 19.56175 15 49 32.173 -12 56 08.89 23.6r 13JO64 568 C~1XRd 2013 05 07.43997 15 48 07.284 -12 49 35.91 23.6r 13JO64 568 C~1XRd 2013 05 07.48420 15 48 07.051 -12 49 34.90 23.6r 13JO64 568 C~1XRd 2013 05 07.52439 15 48 06.844 -12 49 34.08 23.4r 13JO64 568 C~1XRd 2013 05 09.48456 15 47 56.824 -12 48 52.56 23.5r 13JO64 568 C~1XRd 2013 05 10.49178 15 47 51.641 -12 48 31.43 23.5r 13JO64 568 C~1XRd 2013 06 01.38796 15 45 57.807 -12 41 40.36 23.5r 13JO64 568 C~1XRd 2013 06 02.39467 15 45 52.697 -12 41 24.90 13JO64 568 C~1XRd 2013 06 06.36358 15 45 32.857 -12 40 24.01 23.6r 13JO64 568 C~1XRd 2013 07 02.31641 15 43 41.991 -12 36 03.34 23.8r 13JO64 568 C~1XRd 2013 07 03.35437 15 43 38.470 -12 35 58.36 23.7r 13JO64 568 C~1XRd 2014 02 28.64346 16 00 31.056 -13 28 11.71 23.6r 13JO64 568 C~2LSW 2014 03 06.57105 16 00 33.178 -13 26 53.49 24.3r 13JO64 568 C~1XRd 2014 04 30.43255 15 58 05.263 -13 09 16.01 23.8r 13JO64 568 C~1XRd 2014 04 30.48383 15 58 05.022 -13 09 14.98 23.7r 13JO64 568 C~1XRd 2014 04 30.53560 15 58 04.756 -13 09 14.02 23.7r 13JO64 568 C~1XRd 2014 05 05.50159 15 57 40.605 -13 07 30.07 23.4r 13JO64 568 C~1XRd 2014 05 06.44327 15 57 35.931 -13 07 10.71 23.5r 13JO64 568 C~1XRd 2014 05 06.49413 15 57 35.673 -13 07 09.70 23.7r 13JO64 568 C~1XRd 2014 05 06.57022 15 57 35.284 -13 07 08.11 23.5r 13JO64 568 C~1XRd 2014 06 21.42818 15 53 45.056 -12 55 02.23 23.7r 13JO64 568 C~1XRd 2014 06 22.40089 15 53 40.864 -12 54 53.47 23.5r 13JO64 568 C~1XRd 2014 06 30.42288 15 53 08.435 -12 53 54.95 23.7r 13JO64 568 C~1XRd 2014 07 18.35282 15 52 13.850 -12 53 15.57 23.5r 13JO64 568 C~1XRd 2015 03 22.58694 16 09 31.225 -13 37 43.77 23.7r 13JO64 568 C~1XRd 2015 04 18.50253 16 08 16.211 -13 29 03.79 23.5r 13JO64 568 C~1XRd 2017 02 02.65595 16 26 22.624 -14 12 00.17 23.6w 13JO64 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 0.07 0.00 0.09
2 0.0027 -55.17 -0.03 9.43 0.01
3 0.0028 -57.57 -0.04 9.82 0.02
4 0.0274 -617.24 -0.04 90.52 0.08
5 0.0764 -1914.20 -0.00 205.69 -0.01
6 0.0765 -1917.75 -0.07 205.94 0.04
7 0.0766 -1920.88 -0.03 206.08 0.01
8 0.0820 -2072.97 -0.04 214.80 0.03
9 0.0847 -2151.56 -0.02 218.96 0.04
10 0.1447 -3866.90 0.12 256.89 0.27
11 0.1474 -3943.27 0.19 255.60 -0.36
12 0.1583 -4240.02 0.02 251.35 0.04
13 0.2294 -5881.28 -0.07 148.17 0.07
14 0.2322 -5932.69 -0.09 141.62 0.02
15 0.8901 9199.97 -0.02 234.57 -0.10
16 0.9063 9214.27 0.05 317.56 -0.11
17 1.0565 6879.90 -0.03 907.53 -0.02
18 1.0567 6876.24 0.10 907.81 -0.04
19 1.0568 6872.23 -0.08 907.94 -0.21
20 1.0704 6505.17 -0.05 936.38 0.00
21 1.0730 6434.29 0.02 941.12 -0.04
22 1.0731 6430.39 0.04 941.32 -0.07
23 1.0733 6424.49 0.01 941.70 -0.06
24 1.1989 2980.52 -0.08 945.50 -0.02
25 1.2015 2918.75 0.09 941.09 0.06
26 1.2235 2442.89 -0.05 897.77 0.04
27 1.2726 1654.55 0.04 766.52 0.11
28 1.9495 17064.60 0.01 1256.35 0.03
29 2.0232 15882.40 -0.02 1551.69 -0.02
30 3.8196 32132.94 -0.01 2007.69 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.
13JO64 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 139.748 139.928 139.568 ecceobj 0.749 0.749 0.748 incobj 8.598 8.598 8.598 qmin 33.768 33.811 33.607 qmax 260.416 270.020 361.016 amean 131.808 142.762 161.899 amin 119.453 134.545 139.567 amax 147.766 152.667 198.093 emean 0.733 0.753 0.782 emin 0.705 0.734 0.748 emax 0.764 0.769 0.824 imean 7.923 8.371 7.985 imin 7.218 7.917 7.251 imax 8.971 9.818 8.800 excite_mean 0.746 0.767 0.794 fracstop 1.000 1.000 1.000 cjmean 3.044 3.044 3.042 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 163.8 95.7 129.0 kozaiamp 129.1 68.0 79.4