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: 13VS71 # Created Fri Nov 22 02:09:50 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 12 observations of 12 # Arc: 7.99y # First observation: 2013/11/08 # Last observation: 2021/11/05 # Chi-squared of fit: 0.71 DOF: 18 RMS: 0.04 # Min/Max residuals: -0.10 0.10 # Exact a, adot, b, bdot, g, gdot: 1.979811E-05 4.097016E-02 1.399946E-06 2.698632E-03 3.310725E-02 7.822711E-04 # Covariance matrix: 2.8341E-13 -1.4045E-13 -4.5813E-15 -6.1204E-15 2.0215E-13 -3.0962E-13 -1.4045E-13 3.7672E-13 -1.4228E-14 2.4529E-14 1.6707E-13 1.0758E-12 -4.5813E-15 -1.4228E-14 1.9366E-13 -2.8817E-14 -4.6453E-14 -4.5306E-14 -6.1204E-15 2.4529E-14 -2.8817E-14 1.2474E-14 1.7624E-14 7.2673E-14 2.0215E-13 1.6707E-13 -4.6453E-14 1.7624E-14 1.2065E-12 5.8950E-13 -3.0962E-13 1.0758E-12 -4.5306E-14 7.2673E-14 5.8950E-13 3.1714E-12 # lat0 lon0 xBary yBary zBary JD0 -13.511615 37.995187 -0.131967 -0.228997 -0.953600 2456604.729478 # Heliocentric elements and errors Epoch: 2456604.5000 = 2013/11/08 Mean Anomaly: 4.47160 +/- 0.009 Argument of Peri: 278.77345 +/- 0.014 Long of Asc Node: 111.92327 +/- 0.001 Inclination: 13.61970 +/- 0.000 Eccentricity: 0.21716602 +/- 0.0001 Semi-Major Axis: 39.75001516 +/- 0.0071 Time of Perihelion: 2455467.4877 +/- 2.3 Perihelion: 31.11766265 +/- 0.0072 Aphelion: 48.38236768 +/- 0.0098 Period (y) 250.6191 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 23.83510970 +/- 0.0008 Ecliptic Y 18.78991986 +/- 0.0006 Ecliptic Z -7.05715496 +/- 0.0002 Ecliptic XDOT -0.00200120 +/- 0.0000 Ecliptic YDOT 0.00273913 +/- 0.0000 Ecliptic ZDOT 0.00020202 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.16049045 +/- 0.0007 Geocenter to KBO 30.20488811 +/- 0.0010 # Hcoef: 8.83
The following table shows the complete astrometric record for 13VS71. 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 (13VS71) followed by the observatory code and reference code for the source of the astrometry.
2013 11 08.22870 02 39 50.962 +01 21 35.04 24.0r 13VS71 W84 C~52Rr 2013 11 08.24869 02 39 50.842 +01 21 34.69 23.1i 13VS71 W84 C~52Rr 2013 11 23.21586 02 38 22.291 +01 16 40.28 23.3i 13VS71 W84 C~52Rr 2013 12 01.19833 02 37 38.641 +01 15 03.67 24.3g 13VS71 W84 C~52Rr 2013 12 01.19973 02 37 38.631 +01 15 03.64 23.5r 13VS71 W84 C~52Rr 2013 12 20.14218 02 36 13.002 +01 14 25.94 23.5i 13VS71 W84 C~52Rr 2014 09 30.29379 02 52 12.869 +02 34 41.56 24.0r 13VS71 W84 C~52Rr 2015 12 14.17272 02 53 56.145 +02 58 37.18 23.7r 13VS71 W84 C~52Rr 2015 12 15.16519 02 53 51.525 +02 58 35.54 24.5g 13VS71 W84 C~52Rr 2021 11 05.398130 03 49 28.825 +08 09 32.34 23.6G 13VS71 G37 C~5BR7 2021 11 05.439500 03 49 28.579 +08 09 31.40 13VS71 G37 C~5BR7 2021 11 05.481210 03 49 28.325 +08 09 30.47 13VS71 G37 C~5BR7
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 -0.04
2 0.0001 0.00 0.01 0.00 0.10
3 0.0410 0.00 0.02 0.00 0.08
4 0.0629 0.00 0.04 0.00 -0.00
5 0.0629 0.00 -0.00 0.00 -0.02
6 0.1148 0.00 -0.05 0.00 -0.10
7 0.8927 0.00 -0.00 0.00 -0.03
8 2.0970 0.00 0.02 0.00 0.07
9 2.0998 0.00 -0.01 0.00 -0.04
10 7.9923 0.00 -0.03 0.00 0.01
11 7.9924 0.00 0.03 0.00 -0.01
12 7.9925 0.00 -0.00 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.
13VS71 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.987 39.987 39.987 ecceobj 0.222 0.222 0.222 incobj 13.625 13.625 13.625 qmin 30.041 30.042 30.043 qmax 49.598 49.589 49.523 amean 39.456 39.456 39.456 amin 38.966 38.966 38.959 amax 40.012 40.015 40.018 emean 0.212 0.211 0.214 emin 0.185 0.182 0.189 emax 0.240 0.240 0.239 imean 11.385 11.409 11.302 imin 10.589 10.588 10.592 imax 12.322 12.462 12.094 excite_mean 0.290 0.290 0.291 fracstop 1.000 1.000 1.000 cjmean 2.957 2.957 2.956 libcent 0 179.0 179.5 180.3 libamp 0 109.7 107.6 110.0 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 182.8 179.9 189.7 kozaiamp 179.9 180.0 180.0