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: 13VU71 # Created Mon Apr 28 01:09:55 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 17 observations of 17 # Arc: 5.06y # First observation: 2013/11/08 # Last observation: 2018/12/01 # Chi-squared of fit: 6.34 DOF: 28 RMS: 0.11 # Min/Max residuals: -0.28 0.25 # Exact a, adot, b, bdot, g, gdot: 1.979291E-05 3.607713E-02 -2.198324E-06 -3.386082E-03 2.803068E-02 -8.689244E-03 # Covariance matrix: 4.9573E-13 -4.4321E-13 -2.9013E-14 3.4343E-14 1.1940E-13 -1.9675E-12 -4.4321E-13 6.6443E-13 5.1370E-14 -5.9471E-14 -2.3763E-13 3.3994E-12 -2.9013E-14 5.1370E-14 2.8672E-13 -8.0351E-14 -3.1458E-14 2.7344E-13 3.4343E-14 -5.9471E-14 -8.0351E-14 3.4117E-14 2.3027E-14 -3.1785E-13 1.1940E-13 -2.3763E-13 -3.1458E-14 2.3027E-14 4.0827E-13 -1.2393E-12 -1.9675E-12 3.3994E-12 2.7344E-13 -3.1785E-13 -1.2393E-12 1.8177E-11 # lat0 lon0 xBary yBary zBary JD0 -13.246938 28.547161 -0.291546 -0.216547 -0.920489 2456604.752448 # Heliocentric elements and errors Epoch: 2456604.5000 = 2013/11/08 Mean Anomaly: 354.76759 +/- 0.003 Argument of Peri: 281.64821 +/- 0.018 Long of Asc Node: 141.12168 +/- 0.001 Inclination: 13.89264 +/- 0.000 Eccentricity: 0.66432586 +/- 0.0001 Semi-Major Axis: 101.94004868 +/- 0.0322 Time of Perihelion: 2462068.5511 +/- 175.6 Perihelion: 34.21863858 +/- 0.0143 Aphelion: 169.66145878 +/- 0.0544 Period (y) 1029.2609 +/- 0.49 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.19441754 +/- 0.0007 Ecliptic Y 17.30589276 +/- 0.0004 Ecliptic Z -8.17504888 +/- 0.0002 Ecliptic XDOT -0.00248238 +/- 0.0000 Ecliptic YDOT 0.00266265 +/- 0.0000 Ecliptic ZDOT -0.00012731 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.59821690 +/- 0.0006 Geocenter to KBO 35.67541092 +/- 0.0008 # Hcoef: 8.20
The following table shows the complete astrometric record for 13VU71. 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 (13VU71) followed by the observatory code and reference code for the source of the astrometry.
2013 11 08.25167 02 04 49.114 -01 26 39.87 23.7r 13VU71 W84 C~52Rr 2013 11 13.19469 02 04 25.664 -01 28 18.92 22.9z 13VU71 W84 C~52Rr 2013 12 28.11269 02 01 56.896 -01 31 03.03 23.8r 13VU71 W84 C~52Rr 2014 10 21.25060 02 14 25.410 -00 46 00.09 24.0r 13VU71 W84 C~52Rr 2014 12 16.13344 02 10 21.412 -01 00 19.35 23.9r 13VU71 W84 C~52Rr 2014 12 16.13481 02 10 21.429 -01 00 19.15 23.0i 13VU71 W84 C~52Rr 2016 09 24.27213 02 32 56.766 +00 35 41.13 23.5r 13VU71 W84 C~52Rr 2016 09 27.42933 02 32 44.89 +00 33 53.4 24.2g 13VU71 568 C~2eAH 2016 09 27.54907 02 32 44.42 +00 33 49.3 24.6g 13VU71 568 C~2eAH 2016 09 28.51053 02 32 40.67 +00 33 16.7 24.5g 13VU71 568 C~2eAH 2016 09 28.55797 02 32 40.47 +00 33 15.0 24.4g 13VU71 568 C~2eAH 2016 09 29.44983 02 32 36.94 +00 32 44.7 24.4g 13VU71 568 C~2eAH 2017 10 29.29380 02 38 45.941 +00 51 31.29 24.1g 13VU71 W84 C~52Rr 2017 12 08.04622 02 35 33.969 +00 40 12.80 23.8r 13VU71 W84 C~52Rr 2018 11 16.14956 02 45 49.315 +01 19 18.22 23.1i 13VU71 W84 C~52Rr 2018 12 01.08313 02 44 36.286 +01 15 36.65 23.9r 13VU71 W84 C~52Rr 2018 12 01.08452 02 44 36.262 +01 15 36.72 24.1g 13VU71 W84 C~52Rr
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 0.09 0.00 0.10
2 0.0135 0.00 -0.14 0.00 -0.28
3 0.1365 0.00 -0.06 0.00 0.17
4 0.9500 0.00 0.02 0.00 -0.03
5 1.1030 0.00 -0.07 0.00 -0.10
6 1.1030 0.00 0.25 0.00 0.10
7 2.8775 0.00 0.18 0.00 0.08
8 2.8862 0.00 -0.09 0.00 0.02
9 2.8865 0.00 -0.01 0.00 -0.01
10 2.8891 0.00 0.04 0.00 0.09
11 2.8893 0.00 -0.09 0.00 0.00
12 2.8917 0.00 -0.07 0.00 0.01
13 3.9727 0.00 0.02 0.00 -0.04
14 4.0816 0.00 -0.08 0.00 -0.09
15 5.0209 0.00 0.13 0.00 0.08
16 5.0618 0.00 0.11 0.00 -0.08
17 5.0618 0.00 -0.15 0.00 0.01
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.
13VU71 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 103.311 103.309 103.313 ecceobj 0.668 0.668 0.668 incobj 13.876 13.876 13.876 qmin 33.392 33.424 33.393 qmax 179.706 179.307 179.805 amean 101.777 102.165 101.330 amin 96.914 98.506 98.484 amax 107.375 107.108 107.223 emean 0.659 0.660 0.657 emin 0.639 0.646 0.643 emax 0.674 0.676 0.677 imean 13.699 13.935 13.956 imin 12.324 12.543 12.544 imax 14.956 14.895 15.337 excite_mean 0.700 0.703 0.700 fracstop 1.000 1.000 1.000 cjmean 2.983 2.980 2.981 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 162.3 157.3 170.9 kozaiamp 180.0 179.9 180.0