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: 13WC139 # Created Wed Dec 25 02:09:48 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 5.85y # First observation: 2013/11/22 # Last observation: 2019/09/27 # Chi-squared of fit: 6.99 DOF: 30 RMS: 0.11 # Min/Max residuals: -0.35 0.24 # Exact a, adot, b, bdot, g, gdot: 1.600484E-05 2.460121E-02 1.665933E-07 8.762004E-04 2.439017E-02 -1.958432E-03 # Covariance matrix: 4.8360E-13 -2.2803E-13 3.3462E-15 -4.4976E-15 -6.5910E-14 -9.4610E-13 -2.2803E-13 2.1894E-13 -3.9526E-15 4.6518E-15 -4.3976E-14 1.1237E-12 3.3462E-15 -3.9526E-15 3.5710E-13 -7.9857E-14 -1.5653E-15 -2.5032E-14 -4.4976E-15 4.6518E-15 -7.9857E-14 2.3016E-14 5.6798E-15 3.3190E-14 -6.5910E-14 -4.3976E-14 -1.5653E-15 5.6798E-15 6.9007E-13 4.0900E-13 -9.4610E-13 1.1237E-12 -2.5032E-14 3.3190E-14 4.0900E-13 7.0818E-12 # lat0 lon0 xBary yBary zBary JD0 -3.879469 1.677834 -0.835943 -0.035244 -0.521762 2456618.606838 # Heliocentric elements and errors Epoch: 2456618.5000 = 2013/11/22 Mean Anomaly: 325.19730 +/- 0.056 Argument of Peri: 340.82079 +/- 0.070 Long of Asc Node: 63.91430 +/- 0.004 Inclination: 4.37382 +/- 0.000 Eccentricity: 0.09876401 +/- 0.0001 Semi-Major Axis: 45.01848073 +/- 0.0074 Time of Perihelion: 2467284.3407 +/- 29.8 Perihelion: 40.57227523 +/- 0.0084 Aphelion: 49.46468623 +/- 0.0096 Period (y) 302.0609 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.38612893 +/- 0.0014 Ecliptic Y 2.05162801 +/- 0.0001 Ecliptic Z -2.77402112 +/- 0.0001 Ecliptic XDOT -0.00029960 +/- 0.0000 Ecliptic YDOT 0.00275226 +/- 0.0000 Ecliptic ZDOT 0.00011315 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.52974084 +/- 0.0014 Geocenter to KBO 41.00022477 +/- 0.0014 # Hcoef: 7.61
The following table shows the complete astrometric record for 13WC139. 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 (13WC139) followed by the observatory code and reference code for the source of the astrometry.
2013 11 22.10606 00 12 19.928 -02 53 31.46 23.8r 13WC139 W84 C~52S0 2013 11 22.10744 00 12 19.928 -02 53 31.72 23.4i 13WC139 W84 C~52S0 2013 11 23.10126 00 12 17.896 -02 53 38.46 23.1i 13WC139 W84 C~52S0 2016 09 09.17425 00 32 32.903 -00 34 55.77 22.6i 13WC139 W84 C~52S0 2016 09 09.34121 00 32 32.207 -00 35 00.02 23.3r 13WC139 W84 C~52S0 2016 11 06.18354 00 28 25.982 -00 59 53.91 23.4i 13WC139 W84 C~52S0 2016 11 08.13562 00 28 19.320 -01 00 27.95 23.0z 13WC139 W84 C~52S0 2016 11 25.09405 00 27 32.053 -01 04 02.96 23.6i 13WC139 W84 C~52S0 2016 11 25.09543 00 27 32.059 -01 04 03.08 23.7r 13WC139 W84 C~52S0 2017 09 27.20611 00 36 26.632 -00 06 01.89 24.6r 13WC139 W84 C~52S0 2017 09 27.20750 00 36 26.627 -00 06 01.96 23.5i 13WC139 W84 C~52S0 2018 09 09.33831 00 42 56.967 +00 39 59.58 23.6r 13WC139 W84 C~52S0 2018 09 09.33970 00 42 56.959 +00 39 59.70 23.1i 13WC139 W84 C~52S0 2018 10 10.25957 00 40 40.838 +00 25 27.54 23.4r 13WC139 W84 C~52S0 2018 10 10.26095 00 40 40.835 +00 25 27.66 22.9i 13WC139 W84 C~52S0 2019 09 27.31986 00 46 54.12 +01 09 15.2 25.0g 13WC139 T09 C~82mT 2019 09 27.41507 00 46 53.68 +01 09 12.1 25.2g 13WC139 T09 C~82mT 2019 09 27.59048 00 46 52.88 +01 09 07.4 25.2g 13WC139 T09 C~82mT
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 -0.04 0.00 0.07
2 0.0000 0.00 0.00 0.00 -0.18
3 0.0027 0.00 -0.02 0.00 0.24
4 2.7983 0.00 0.04 0.00 -0.35
5 2.7987 0.00 0.13 0.00 0.08
6 2.9571 0.00 0.03 0.00 -0.01
7 2.9624 0.00 -0.07 0.00 -0.05
8 3.0089 0.00 -0.02 0.00 0.09
9 3.0089 0.00 0.12 0.00 -0.02
10 3.8470 0.00 -0.06 0.00 0.07
11 3.8470 0.00 -0.04 0.00 0.04
12 4.7974 0.00 0.08 0.00 -0.14
13 4.7974 0.00 0.04 0.00 0.01
14 4.8820 0.00 -0.04 0.00 -0.03
15 4.8820 0.00 0.01 0.00 0.13
16 5.8459 0.00 0.02 0.00 0.19
17 5.8462 0.00 -0.06 0.00 -0.20
18 5.8466 0.00 -0.02 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.
13WC139 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.310 45.310 45.311 ecceobj 0.103 0.103 0.103 incobj 4.374 4.374 4.374 qmin 39.578 39.582 39.608 qmax 50.762 50.742 50.789 amean 45.052 45.052 45.052 amin 44.688 44.690 44.682 amax 45.456 45.456 45.455 emean 0.103 0.103 0.103 emin 0.089 0.089 0.088 emax 0.118 0.117 0.118 imean 2.958 2.958 2.958 imin 2.357 2.358 2.357 imax 3.514 3.515 3.514 excite_mean 0.115 0.115 0.115 fracstop 1.000 1.000 1.000 cjmean 3.098 3.098 3.098 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 172.7 172.9 172.9 kozaiamp 180.0 180.0 180.0