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: 13WA139 # Created Tue Apr 1 01:09:55 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 25 observations of 25 # Arc: 5.01y # First observation: 2013/11/22 # Last observation: 2018/11/26 # Chi-squared of fit: 6.20 DOF: 44 RMS: 0.09 # Min/Max residuals: -0.22 0.21 # Exact a, adot, b, bdot, g, gdot: 1.454254E-05 1.999427E-02 1.100622E-06 2.979935E-04 2.223186E-02 -3.065346E-03 # Covariance matrix: 2.5928E-13 -1.6210E-13 1.5194E-16 -1.6536E-15 -1.3507E-13 -1.1519E-12 -1.6210E-13 2.4678E-13 -1.2513E-15 2.4968E-15 4.4605E-14 2.0132E-12 1.5194E-16 -1.2513E-15 1.6380E-13 -4.0734E-14 1.5315E-15 -9.3788E-15 -1.6536E-15 2.4968E-15 -4.0734E-14 1.5537E-14 1.6875E-15 2.2764E-14 -1.3507E-13 4.4605E-14 1.5315E-15 1.6875E-15 4.0082E-13 7.2320E-13 -1.1519E-12 2.0132E-12 -9.3788E-15 2.2764E-14 7.2320E-13 1.7811E-11 # lat0 lon0 xBary yBary zBary JD0 -2.155792 1.597817 -0.836522 -0.019501 -0.521663 2456618.590508 # Heliocentric elements and errors Epoch: 2456618.5000 = 2013/11/22 Mean Anomaly: 259.03906 +/- 0.057 Argument of Peri: 49.09128 +/- 0.044 Long of Asc Node: 69.90611 +/- 0.008 Inclination: 2.31029 +/- 0.000 Eccentricity: 0.14324721 +/- 0.0002 Semi-Major Axis: 43.50762902 +/- 0.0051 Time of Perihelion: 2486015.1236 +/- 21.2 Perihelion: 37.27528267 +/- 0.0092 Aphelion: 49.73997538 +/- 0.0100 Period (y) 286.9831 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 45.42892511 +/- 0.0013 Ecliptic Y 2.10709631 +/- 0.0000 Ecliptic Z -1.69202174 +/- 0.0001 Ecliptic XDOT -0.00045052 +/- 0.0000 Ecliptic YDOT 0.00244899 +/- 0.0000 Ecliptic ZDOT 0.00005101 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.50931776 +/- 0.0013 Geocenter to KBO 44.98064285 +/- 0.0013 # Hcoef: 6.72
The following table shows the complete astrometric record for 13WA139. 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 (13WA139) followed by the observatory code and reference code for the source of the astrometry.
2013 11 22.08973 00 09 17.601 -01 20 33.05 23.8g 13WA139 W84 C~52Rz 2013 11 22.09111 00 09 17.598 -01 20 32.90 23.3r 13WA139 W84 C~52S0 2013 11 22.09392 00 09 17.597 -01 20 32.84 23.0i 13WA139 W84 C~52S0 2013 11 23.08715 00 09 15.733 -01 20 42.09 23.7r 13WA139 W84 C~52S0 2013 11 23.10126 00 09 15.692 -01 20 41.96 22.6i 13WA139 W84 C~52S0 2014 08 18.30786 00 19 12.474 -00 16 07.09 23.1i 13WA139 W84 C~52S0 2014 10 02.24991 00 16 20.721 -00 35 11.28 23.3r 13WA139 W84 C~52S0 2014 10 02.25263 00 16 20.708 -00 35 11.62 22.9i 13WA139 W84 C~52S0 2014 10 28.19540 00 14 39.193 -00 45 37.41 23.4r 13WA139 W84 C~52S0 2014 11 18.03260 00 13 37.933 -00 51 24.95 23.1z 13WA139 W84 C~52S0 2015 10 17.16107 00 19 35.852 -00 12 37.55 23.1r 13WA139 W84 C~52S0 2016 10 23.13956 00 23 25.669 +00 13 38.49 23.1r 13WA139 W84 C~52S0 2016 11 08.13786 00 22 30.466 +00 08 13.37 23.1i 13WA139 W84 C~52S0 2016 11 08.13923 00 22 30.446 +00 08 13.26 22.6z 13WA139 W84 C~52S0 2017 09 27.21025 00 29 30.565 +00 53 54.35 23.4r 13WA139 W84 C~52S0 2017 09 27.21161 00 29 30.567 +00 53 54.26 22.8i 13WA139 W84 C~52S0 2017 09 27.21299 00 29 30.563 +00 53 54.23 23.6g 13WA139 W84 C~52S0 2017 10 29.14670 00 27 21.349 +00 40 32.83 22.7z 13WA139 W84 C~52S0 2018 09 09.22996 00 35 04.342 +01 31 15.95 22.9z 13WA139 W84 C~52S0 2018 09 09.33142 00 35 03.958 +01 31 13.28 23.1r 13WA139 W84 C~52S0 2018 09 09.33280 00 35 03.954 +01 31 13.28 23.0i 13WA139 W84 C~52S0 2018 10 10.25683 00 32 56.249 +01 17 30.70 23.5r 13WA139 W84 C~52S0 2018 10 10.25820 00 32 56.244 +01 17 30.73 22.7i 13WA139 W84 C~52S0 2018 10 18.18917 00 32 23.515 +01 14 08.14 22.8z 13WA139 W84 C~52S0 2018 11 26.07111 00 30 18.141 +01 02 03.84 24.7g 13WA139 W84 C~52S0
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 0.01 0.00 -0.19
2 0.0000 0.00 0.01 0.00 -0.03
3 0.0000 0.00 0.08 0.00 0.06
4 0.0027 0.00 0.10 0.00 -0.04
5 0.0028 0.00 -0.12 0.00 0.21
6 0.7371 0.00 0.04 0.00 0.15
7 0.8601 0.00 -0.06 0.00 0.14
8 0.8601 0.00 -0.09 0.00 -0.13
9 0.9312 0.00 -0.02 0.00 -0.07
10 0.9882 0.00 0.04 0.00 0.06
11 1.9003 0.00 0.00 0.00 -0.13
12 2.9187 0.00 0.00 0.00 -0.03
13 2.9625 0.00 0.10 0.00 0.02
14 2.9625 0.00 -0.14 0.00 -0.06
15 3.8470 0.00 -0.01 0.00 0.06
16 3.8470 0.00 0.10 0.00 0.01
17 3.8470 0.00 0.13 0.00 0.01
18 3.9344 0.00 0.05 0.00 -0.07
19 4.7971 0.00 -0.22 0.00 0.10
20 4.7974 0.00 -0.04 0.00 0.02
21 4.7974 0.00 -0.02 0.00 0.05
22 4.8820 0.00 0.04 0.00 -0.03
23 4.8820 0.00 0.05 0.00 0.04
24 4.9038 0.00 0.08 0.00 0.03
25 5.0102 0.00 -0.01 0.00 -0.11
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.
13WA139 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.752 43.752 43.752 ecceobj 0.139 0.139 0.139 incobj 2.310 2.310 2.310 qmin 36.089 36.068 36.076 qmax 51.445 51.455 51.470 amean 43.580 43.582 43.579 amin 43.199 43.178 43.179 amax 44.003 44.016 44.007 emean 0.142 0.141 0.142 emin 0.118 0.118 0.118 emax 0.170 0.170 0.170 imean 1.992 1.990 1.988 imin 1.061 1.062 1.061 imax 3.384 3.381 3.374 excite_mean 0.147 0.146 0.147 fracstop 1.000 1.000 1.000 cjmean 3.070 3.070 3.070 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 169.2 168.9 169.1 kozaiamp 180.0 180.0 179.9