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: 13VV71 # Created Fri Nov 22 02:09:50 2024 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 3.97y # First observation: 2013/11/13 # Last observation: 2017/11/01 Preliminary a, adot, b, bdot, g, gdot: -0.000045 0.023341 -0.000009 0.002592 0.024248 0.000000 # Chi-squared of fit: 6.35 DOF: 22 RMS: 0.12 # Min/Max residuals: -0.22 0.37 # Exact a, adot, b, bdot, g, gdot: 1.499737E-05 2.317610E-02 2.726743E-06 2.580673E-03 2.443699E-02 -1.314607E-03 # Covariance matrix: 5.6996E-13 -4.8532E-13 2.6122E-14 -4.0621E-14 -1.7886E-13 -3.6215E-12 -4.8532E-13 8.4037E-13 -4.1727E-14 8.1450E-14 4.4028E-14 7.3804E-12 2.6122E-14 -4.1727E-14 3.5746E-13 -1.2078E-13 -2.6725E-14 -4.1571E-13 -4.0621E-14 8.1450E-14 -1.2078E-13 6.2526E-14 1.3447E-14 7.7319E-13 -1.7886E-13 4.4028E-14 -2.6725E-14 1.3447E-14 5.9322E-13 9.9720E-13 -3.6215E-12 7.3804E-12 -4.1571E-13 7.7319E-13 9.9720E-13 6.9841E-11 # lat0 lon0 xBary yBary zBary JD0 -15.728826 36.540715 -0.240376 -0.259707 -0.922674 2456609.659458 # Heliocentric elements and errors Epoch: 2456600.5000 = 2013/11/04 Mean Anomaly: 243.05759 +/- 0.163 Argument of Peri: 54.97254 +/- 0.157 Long of Asc Node: 103.86745 +/- 0.002 Inclination: 16.63150 +/- 0.000 Eccentricity: 0.05994992 +/- 0.0003 Semi-Major Axis: 40.63281098 +/- 0.0051 Time of Perihelion: 2487331.9657 +/- 42.6 Perihelion: 38.19687716 +/- 0.0140 Aphelion: 43.06874479 +/- 0.0142 Period (y) 259.0142 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.27265190 +/- 0.0010 Ecliptic Y 24.21885231 +/- 0.0007 Ecliptic Z -11.09316054 +/- 0.0003 Ecliptic XDOT -0.00160309 +/- 0.0000 Ecliptic YDOT 0.00204668 +/- 0.0000 Ecliptic ZDOT 0.00031837 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.84656592 +/- 0.0009 Geocenter to KBO 40.92156745 +/- 0.0013 # Hcoef: 7.39
The following table shows the complete astrometric record for 13VV71. 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 (13VV71) followed by the observatory code and reference code for the source of the astrometry.
2013 11 13.15868 02 37 19.030 -01 11 20.19 23.0z 13VV71 W84 C~52Rr 2013 12 28.13513 02 34 29.731 -01 13 24.89 23.6r 13VV71 W84 C~52Rr 2014 09 30.28683 02 45 26.699 -00 19 50.99 23.1i 13VV71 W84 C~52Rr 2014 09 30.28820 02 45 26.708 -00 19 51.37 24.1g 13VV71 W84 C~52Rr 2014 09 30.28958 02 45 26.700 -00 19 51.12 23.7r 13VV71 W84 C~52Rr 2014 10 23.31274 02 43 50.001 -00 30 14.17 23.1i 13VV71 W84 C~52Rr 2016 09 23.28735 02 55 30.369 +00 50 58.85 22.9i 13VV71 W84 C~52Rr 2016 09 24.27915 02 55 27.257 +00 50 31.06 23.7r 13VV71 W84 C~52Rr 2016 09 25.27380 02 55 24.059 +00 50 03.50 24.3g 13VV71 W84 C~52Rr 2016 10 28.22715 02 53 08.592 +00 35 39.22 23.8i 13VV71 W84 C~52Rr 2016 11 29.13615 02 50 38.550 +00 27 11.42 24.3r 13VV71 W84 C~52Rr 2017 09 18.33217 03 00 36.366 +01 27 14.91 23.6g 13VV71 W84 C~52Rr 2017 09 26.32426 03 00 12.840 +01 23 36.16 24.1r 13VV71 W84 C~52Rr 2017 11 01.17552 02 57 43.721 +01 08 23.91 22.8z 13VV71 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 -0.00 0.00 -0.22
2 0.1231 -2445.79 0.05 693.15 0.08
3 0.8792 7922.13 -0.11 587.13 0.17
4 0.8792 7922.13 -0.01 586.72 -0.22
5 0.8792 7922.10 0.04 587.00 0.07
6 0.9422 6346.63 -0.00 460.84 -0.02
7 2.8614 17902.06 0.05 1719.52 0.10
8 2.8641 17848.54 0.04 1708.05 0.06
9 2.8668 17793.87 0.00 1697.23 0.37
10 2.9571 15577.75 0.01 1527.20 -0.10
11 3.0444 13271.81 -0.05 1766.24 0.11
12 3.8472 22996.25 -0.02 2319.86 -0.06
13 3.8690 22587.06 -0.02 2224.44 -0.21
14 3.9672 20150.44 0.02 2072.60 -0.14
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.
13VV71 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.826 40.841 40.810 ecceobj 0.054 0.054 0.055 incobj 16.641 16.641 16.641 qmin 37.093 37.126 37.100 qmax 44.281 44.245 44.195 amean 40.567 40.582 40.543 amin 40.239 40.266 40.232 amax 40.898 40.908 40.869 emean 0.064 0.063 0.063 emin 0.045 0.044 0.045 emax 0.083 0.082 0.082 imean 14.664 14.668 14.661 imin 13.744 13.757 13.729 imax 15.984 15.970 16.013 excite_mean 0.261 0.261 0.261 fracstop 1.000 1.000 1.000 cjmean 2.985 2.985 2.985 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 180.6 180.9 180.4 kozaiamp 179.9 180.0 180.0