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: 13VZ71 # Created Sat Apr 27 01:15:41 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 20 observations of 20 # Arc: 5.17y # First observation: 2013/09/29 # Last observation: 2018/11/30 # Chi-squared of fit: 9.70 DOF: 34 RMS: 0.12 # Min/Max residuals: -0.39 0.25 # Exact a, adot, b, bdot, g, gdot: 1.564950E-05 2.807679E-02 -9.159989E-06 -1.396502E-02 2.714279E-02 -1.144845E-03 # Covariance matrix: 3.6608E-13 -1.9901E-13 -5.9175E-14 8.6507E-14 1.8595E-13 -1.2982E-12 -1.9901E-13 2.6527E-13 8.3342E-14 -1.3744E-13 6.4504E-15 2.0399E-12 -5.9175E-14 8.3342E-14 2.1481E-13 -1.0093E-13 -1.5251E-14 7.1329E-13 8.6507E-14 -1.3744E-13 -1.0093E-13 1.0389E-13 2.3225E-15 -1.1694E-12 1.8595E-13 6.4504E-15 -1.5251E-14 2.3225E-15 3.9139E-13 -6.3908E-14 -1.2982E-12 2.0399E-12 7.1329E-13 -1.1694E-12 -6.3908E-14 1.7365E-11 # lat0 lon0 xBary yBary zBary JD0 -10.117417 13.606184 0.132541 -0.174340 -0.977659 2456564.826258 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 353.93561 +/- 0.019 Argument of Peri: 212.59082 +/- 0.035 Long of Asc Node: 174.45376 +/- 0.000 Inclination: 28.13671 +/- 0.000 Eccentricity: 0.28417299 +/- 0.0001 Semi-Major Axis: 52.60771780 +/- 0.0080 Time of Perihelion: 2458912.2784 +/- 32.0 Perihelion: 37.65802545 +/- 0.0073 Aphelion: 67.55741015 +/- 0.0112 Period (y) 381.5772 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.24720689 +/- 0.0008 Ecliptic Y 8.64003408 +/- 0.0002 Ecliptic Z -6.47228608 +/- 0.0001 Ecliptic XDOT -0.00102340 +/- 0.0000 Ecliptic YDOT 0.00266630 +/- 0.0000 Ecliptic ZDOT -0.00136630 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.82066756 +/- 0.0008 Geocenter to KBO 36.84225172 +/- 0.0008 # Hcoef: 7.98
The following table shows the complete astrometric record for 13VZ71. 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 (13VZ71) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.32548 01 05 45.872 -03 57 33.85 24.3g 13VZ71 W84 C~55OI 2013 11 04.03496 01 03 00.22 -04 17 54.7 13VZ71 W84 C~55OI 2013 11 04.09963 01 02 59.94 -04 17 56.4 24.0r 13VZ71 W84 C~55OI 2013 11 04.18019 01 02 59.58 -04 17 58.6 13VZ71 W84 C~55OI 2013 12 21.09712 01 00 56.679 -04 26 21.40 22.9i 13VZ71 W84 C~55OI 2014 10 01.32552 01 12 49.499 -04 05 31.90 23.3r 13VZ71 W84 C~55OI 2014 11 17.15825 01 09 19.048 -04 29 36.44 24.4g 13VZ71 W84 C~55OI 2014 11 18.16985 01 09 15.396 -04 29 54.66 23.0i 13VZ71 W84 C~55OI 2014 11 21.04127 01 09 05.362 -04 30 42.72 22.8z 13VZ71 W84 C~55OI 2014 11 27.10989 01 08 46.095 -04 32 05.05 23.8r 13VZ71 W84 C~55OI 2015 09 04.28108 01 21 53.562 -03 53 23.06 23.8i 13VZ71 W84 C~55OI 2015 11 02.11612 01 17 32.789 -04 30 26.04 23.9r 13VZ71 W84 C~55OI 2016 08 16.37045 01 29 50.133 -03 47 50.23 23.8i 13VZ71 W84 C~55OI 2016 10 23.16108 01 25 28.324 -04 32 16.48 23.8r 13VZ71 W84 C~55OI 2016 10 28.14816 01 25 04.643 -04 34 53.11 23.7i 13VZ71 W84 C~55OI 2017 11 15.15979 01 30 58.256 -04 48 34.05 23.7r 13VZ71 W84 C~55OI 2017 11 15.16116 01 30 58.249 -04 48 33.90 24.4g 13VZ71 W84 C~55OI 2017 11 15.16527 01 30 58.230 -04 48 33.99 23.3i 13VZ71 W84 C~55OI 2018 11 15.08984 01 38 12.118 -04 54 25.82 23.6i 13VZ71 W84 C~55OI 2018 11 30.12137 01 37 14.766 -04 58 07.61 24.7g 13VZ71 W84 C~55OI
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 0.05 0.00 0.25
2 0.0978 0.00 0.07 0.00 0.03
3 0.0979 0.00 0.06 0.00 0.02
4 0.0982 0.00 -0.14 0.00 -0.08
5 0.2266 0.00 -0.00 0.00 -0.39
6 1.0048 0.00 -0.08 0.00 -0.06
7 1.1330 0.00 -0.00 0.00 0.13
8 1.1358 0.00 0.14 0.00 0.07
9 1.1436 0.00 -0.13 0.00 -0.15
10 1.1603 0.00 0.08 0.00 0.03
11 1.9301 0.00 -0.14 0.00 0.05
12 2.0911 0.00 0.02 0.00 0.17
13 2.8803 0.00 0.12 0.00 -0.09
14 3.0659 0.00 -0.04 0.00 0.09
15 3.0796 0.00 -0.11 0.00 0.09
16 4.1282 0.00 0.12 0.00 -0.13
17 4.1282 0.00 0.11 0.00 0.05
18 4.1282 0.00 0.08 0.00 0.04
19 5.1273 0.00 -0.00 0.00 0.13
20 5.1685 0.00 -0.13 0.00 -0.22
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.
13VZ71 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 52.960 52.960 52.960 ecceobj 0.289 0.289 0.289 incobj 28.062 28.062 28.062 qmin 36.393 36.398 36.386 qmax 69.405 69.375 69.391 amean 52.514 52.513 52.514 amin 51.999 51.995 52.004 amax 53.160 53.150 53.136 emean 0.288 0.288 0.288 emin 0.270 0.270 0.269 emax 0.306 0.306 0.306 imean 27.404 27.409 27.408 imin 26.958 26.968 26.970 imax 27.987 27.986 27.983 excite_mean 0.543 0.543 0.543 fracstop 1.000 1.000 1.000 cjmean 2.819 2.819 2.819 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 186.4 186.5 185.8 kozaiamp 180.0 179.9 179.9