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: 13WB139 # Created Wed Dec 25 02:09:48 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 19 observations of 19 # Arc: 5.85y # First observation: 2013/11/22 # Last observation: 2019/09/27 # Chi-squared of fit: 8.65 DOF: 32 RMS: 0.12 # Min/Max residuals: -0.36 0.21 # Exact a, adot, b, bdot, g, gdot: 1.602832E-05 2.300364E-02 -5.958224E-07 -8.318064E-04 2.380223E-02 -9.007895E-04 # Covariance matrix: 2.9764E-13 -1.7110E-13 -3.8220E-15 4.6978E-15 -1.6723E-13 -9.5660E-13 -1.7110E-13 2.0390E-13 4.4640E-15 -6.6072E-15 2.6684E-14 1.2197E-12 -3.8220E-15 4.4640E-15 1.9234E-13 -4.3288E-14 7.0086E-15 3.4363E-14 4.6978E-15 -6.6072E-15 -4.3288E-14 1.6184E-14 -2.5587E-15 -4.4249E-14 -1.6723E-13 2.6684E-14 7.0086E-15 -2.5587E-15 1.2182E-12 1.2006E-12 -9.5660E-13 1.2197E-12 3.4363E-14 -4.4249E-14 1.2006E-12 8.7843E-12 # lat0 lon0 xBary yBary zBary JD0 -2.499797 2.374505 -0.829382 -0.023124 -0.532797 2456618.591888 # Heliocentric elements and errors Epoch: 2456618.5000 = 2013/11/22 Mean Anomaly: 292.73349 +/- 0.308 Argument of Peri: 300.45608 +/- 0.328 Long of Asc Node: 132.87140 +/- 0.005 Inclination: 3.19156 +/- 0.000 Eccentricity: 0.02359095 +/- 0.0001 Semi-Major Axis: 42.92390309 +/- 0.0082 Time of Perihelion: 2475811.5341 +/- 91.1 Perihelion: 41.91128748 +/- 0.0100 Aphelion: 43.93651870 +/- 0.0103 Period (y) 281.2270 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.43456090 +/- 0.0019 Ecliptic Y 2.59278104 +/- 0.0001 Ecliptic Z -1.83250141 +/- 0.0001 Ecliptic XDOT -0.00022338 +/- 0.0000 Ecliptic YDOT 0.00263739 +/- 0.0000 Ecliptic ZDOT -0.00009093 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.55318707 +/- 0.0019 Geocenter to KBO 42.01294679 +/- 0.0019 # Hcoef: 7.61
The following table shows the complete astrometric record for 13WB139. 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 (13WB139) followed by the observatory code and reference code for the source of the astrometry.
2013 11 22.09111 00 12 41.380 -01 20 58.42 23.9r 13WB139 W84 C~52S0 2013 11 22.09392 00 12 41.388 -01 20 58.34 23.7i 13WB139 W84 C~52S0 2013 11 23.08715 00 12 39.396 -01 21 08.37 23.9r 13WB139 W84 C~52S0 2013 11 23.10126 00 12 39.356 -01 21 08.53 23.4i 13WB139 W84 C~52S0 2014 10 02.24991 00 20 39.036 -00 33 43.97 23.5r 13WB139 W84 C~52S0 2014 10 28.18544 00 18 51.519 -00 45 00.06 23.6i 13WB139 W84 C~52S0 2014 11 13.09038 00 17 59.144 -00 50 05.78 23.2i 13WB139 W84 C~52S0 2014 11 13.10105 00 17 59.108 -00 50 06.20 22.9z 13WB139 W84 C~52S0 2015 10 17.15966 00 24 33.604 -00 11 19.13 24.0r 13WB139 W84 C~52S0 2016 11 25.05802 00 27 18.642 +00 04 56.85 23.2i 13WB139 W84 C~52S0 2016 11 25.05939 00 27 18.642 +00 04 56.83 24.0r 13WB139 W84 C~52S0 2016 12 04.07842 00 27 02.772 +00 03 44.36 22.9z 13WB139 W84 C~52S0 2017 09 27.21025 00 35 54.607 +00 56 07.10 23.3r 13WB139 W84 C~52S0 2017 09 27.21161 00 35 54.582 +00 56 06.81 23.6i 13WB139 W84 C~52S0 2018 10 10.25546 00 39 56.950 +01 19 14.08 23.5i 13WB139 W84 C~52S0 2019 09 27.33385 00 45 54.69 +01 54 43.9 25.2g 13WB139 T09 C~816g 2019 09 27.42573 00 45 54.30 +01 54 41.0 24.9g 13WB139 T09 C~816g 2019 09 27.52301 00 45 53.85 +01 54 38.3 25.0g 13WB139 T09 C~816g 2019 09 27.59048 00 45 53.56 +01 54 36.5 25.4g 13WB139 T09 C~816g
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 -0.14 0.00 -0.05
2 0.0000 0.00 0.06 0.00 0.06
3 0.0027 0.00 0.13 0.00 0.07
4 0.0028 0.00 -0.04 0.00 0.05
5 0.8601 0.00 -0.11 0.00 -0.01
6 0.9311 0.00 -0.05 0.00 0.06
7 0.9747 0.00 0.06 0.00 0.15
8 0.9747 0.00 -0.01 0.00 -0.10
9 1.9003 0.00 0.17 0.00 -0.36
10 3.0088 0.00 -0.06 0.00 -0.05
11 3.0088 0.00 -0.02 0.00 -0.05
12 3.0335 0.00 0.01 0.00 0.18
13 3.8470 0.00 0.19 0.00 0.21
14 3.8470 0.00 -0.09 0.00 -0.04
15 4.8820 0.00 0.02 0.00 -0.15
16 5.8460 0.00 -0.14 0.00 0.13
17 5.8462 0.00 0.14 0.00 -0.13
18 5.8465 0.00 -0.10 0.00 -0.03
19 5.8467 0.00 0.05 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.
13WB139 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.182 43.182 43.182 ecceobj 0.025 0.025 0.025 incobj 3.186 3.186 3.186 qmin 40.488 40.508 40.538 qmax 45.629 45.629 45.596 amean 42.971 42.971 42.969 amin 42.642 42.643 42.637 amax 43.313 43.314 43.310 emean 0.036 0.036 0.035 emin 0.014 0.014 0.014 emax 0.054 0.054 0.054 imean 2.715 2.715 2.713 imin 1.649 1.649 1.649 imax 3.564 3.566 3.565 excite_mean 0.059 0.059 0.059 fracstop 1.000 1.000 1.000 cjmean 3.085 3.085 3.085 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 179.6 179.4 179.6 kozaiamp 180.0 179.9 180.0