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: 13VW71 # Created Mon Apr 28 01:09:55 2025 # Orbit generated from Bernstein formalism # Fitting 23 observations of 23 # Arc: 4.91y # First observation: 2013/10/13 # Last observation: 2018/09/09 Preliminary a, adot, b, bdot, g, gdot: -0.000059 0.022459 -0.000004 0.000302 0.023851 0.000000 # Chi-squared of fit: 10.57 DOF: 40 RMS: 0.12 # Min/Max residuals: -0.23 0.22 # Exact a, adot, b, bdot, g, gdot: 1.507519E-05 2.240245E-02 7.470285E-07 3.010897E-04 2.341715E-02 -2.071273E-04 # Covariance matrix: 2.9823E-13 -1.6979E-13 8.1118E-16 -1.4255E-15 -3.6068E-14 -9.8408E-13 -1.6979E-13 2.3127E-13 -1.9015E-15 2.8957E-15 1.3576E-13 1.9684E-12 8.1118E-16 -1.9015E-15 2.4149E-13 -6.3720E-14 -3.1128E-15 -1.8970E-14 -1.4255E-15 2.8957E-15 -6.3720E-14 2.2870E-14 2.4664E-15 2.7660E-14 -3.6068E-14 1.3576E-13 -3.1128E-15 2.4664E-15 4.8355E-13 1.4957E-12 -9.8408E-13 1.9684E-12 -1.8970E-14 2.7660E-14 1.4957E-12 1.8704E-11 # lat0 lon0 xBary yBary zBary JD0 -1.422114 2.054883 -0.300433 -0.023493 -0.950816 2456578.598308 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 338.08755 +/- 0.816 Argument of Peri: 321.69667 +/- 0.838 Long of Asc Node: 63.16844 +/- 0.012 Inclination: 1.59485 +/- 0.000 Eccentricity: 0.01236793 +/- 0.0001 Semi-Major Axis: 44.16106747 +/- 0.0049 Time of Perihelion: 2463094.9857 +/- 243.1 Perihelion: 43.61488656 +/- 0.0068 Aphelion: 44.70724838 +/- 0.0069 Period (y) 293.4726 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.60233424 +/- 0.0013 Ecliptic Y 1.86816187 +/- 0.0001 Ecliptic Z -1.05982079 +/- 0.0000 Ecliptic XDOT -0.00012340 +/- 0.0000 Ecliptic YDOT 0.00261525 +/- 0.0000 Ecliptic ZDOT 0.00003593 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.65520358 +/- 0.0013 Geocenter to KBO 42.70373599 +/- 0.0013 # Hcoef: 6.95
The following table shows the complete astrometric record for 13VW71. 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 (13VW71) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.09753 00 09 48.191 -00 29 15.64 23.2z 13VW71 W84 C~55OH 2013 10 13.114352 00 09 48.12 -00 29 16.0 22.9i 13VW71 W84 C~55OH 2013 11 08.140185 00 08 15.42 -00 38 42.9 23.5r 13VW71 W84 C~55OH 2013 11 23.095000 00 07 39.81 -00 42 05.5 22.9i 13VW71 W84 C~55OH 2014 08 18.307326 00 18 12.95 +00 26 40.8 23.2i 13VW71 W84 C~55OH 2014 10 02.252106 00 15 15.73 +00 07 13.5 23.2i 13VW71 W84 C~55OH 2014 11 15.10154 00 12 36.147 -00 09 09.34 23.1z 13VW71 W84 C~55OH 2016 09 09.32882 00 26 12.041 +01 20 30.17 23.4i 13VW71 W84 C~55OH 2016 09 11.17158 00 26 04.653 +01 19 41.55 22.8z 13VW71 W84 C~55OH 2016 10 02.18024 00 24 35.557 +01 10 05.58 23.0i 13VW71 W84 C~55OH 2016 10 02.18163 00 24 35.555 +01 10 05.93 23.1r 13VW71 W84 C~55OH 2016 11 30.10104 00 21 19.733 +00 50 19.10 23.5r 13VW71 W84 C~55OH 2016 11 30.10240 00 21 19.726 +00 50 19.08 23.5i 13VW71 W84 C~55OH 2017 09 27.193241 00 29 39.08 +01 43 59.6 23.1r 13VW71 W84 C~55OH 2017 09 27.194606 00 29 39.07 +01 43 59.7 23.0i 13VW71 W84 C~55OH 2017 10 22.18433 00 27 53.509 +01 32 54.50 24.4r 13VW71 W84 C~55OH 2017 10 22.185185 00 27 53.50 +01 32 54.3 23.3i 13VW71 W84 C~55OH 2017 10 27.17431 00 27 34.129 +01 30 54.82 22.9z 13VW71 W84 C~55OH 2017 10 29.13345 00 27 26.811 +01 30 10.00 22.6z 13VW71 W84 C~55OH 2017 10 29.146169 00 27 26.76 +01 30 10.0 22.7z 13VW71 W84 C~55OH 2018 09 09.32306 00 35 35.512 +02 23 33.50 23.1i 13VW71 W84 C~55OH 2018 09 09.32445 00 35 35.498 +02 23 33.50 22.7r 13VW71 W84 C~55OH 2018 09 09.32583 00 35 35.503 +02 23 33.51 23.9g 13VW71 W84 C~55OH
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 -0.11
2 0.0000 -1.12 0.02 0.09 -0.04
3 0.0713 -1502.35 -0.08 32.61 0.14
4 0.1122 -2073.03 0.10 58.99 -0.04
5 0.8466 8286.09 0.05 69.53 0.21
6 0.9696 5379.62 -0.23 55.31 0.12
7 1.0897 2791.40 0.03 105.27 -0.16
8 2.9082 16191.79 -0.11 178.33 -0.06
9 2.9133 16070.06 0.22 177.69 -0.10
10 2.9708 14607.03 -0.08 179.65 -0.20
11 2.9708 14607.14 0.14 179.98 0.13
12 3.1321 11427.80 0.13 257.69 -0.09
13 3.1321 11427.70 0.06 257.72 -0.07
14 3.9565 19626.43 -0.01 240.34 -0.05
15 3.9565 19626.33 -0.01 240.49 0.11
16 4.0249 17895.34 -0.08 257.86 0.22
17 4.0249 17895.14 -0.23 257.73 0.09
18 4.0385 17578.79 -0.23 263.35 -0.09
19 4.0439 17459.43 0.07 265.76 -0.12
20 4.0439 17458.72 0.14 266.07 0.16
21 4.9068 25543.20 0.05 303.45 -0.07
22 4.9068 25543.00 -0.06 303.54 0.02
23 4.9069 25543.07 0.11 303.52 -0.00
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.
13VW71 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.417 44.432 44.403 ecceobj 0.018 0.018 0.018 incobj 1.594 1.594 1.594 qmin 42.642 42.668 42.653 qmax 45.947 45.954 45.893 amean 44.199 44.213 44.185 amin 43.858 43.879 43.840 amax 44.542 44.562 44.525 emean 0.017 0.017 0.017 emin 0.001 0.002 0.000 emax 0.032 0.031 0.031 imean 0.891 0.892 0.891 imin 0.152 0.156 0.148 imax 1.318 1.317 1.319 excite_mean 0.024 0.024 0.024 fracstop 1.000 1.000 1.000 cjmean 3.103 3.103 3.103 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 189.5 189.4 189.8 kozaiamp 180.0 180.0 180.0