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: 13VD72 # Created Fri Nov 22 02:09:50 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 14 observations of 14 # Arc: 5.09y # First observation: 2013/10/04 # Last observation: 2018/11/06 # Chi-squared of fit: 9.95 DOF: 22 RMS: 0.15 # Min/Max residuals: -0.32 0.38 # Exact a, adot, b, bdot, g, gdot: 1.794780E-05 3.194490E-02 -3.789164E-06 -8.138895E-03 2.849237E-02 5.018582E-03 # Covariance matrix: 2.7131E-13 -2.0837E-13 -2.1070E-14 4.6031E-14 8.0026E-14 -1.3066E-12 -2.0837E-13 4.8059E-13 4.8431E-14 -1.2377E-13 1.4636E-13 3.4086E-12 -2.1070E-14 4.8431E-14 1.9864E-13 -7.0132E-14 -5.9753E-15 3.9489E-13 4.6031E-14 -1.2377E-13 -7.0132E-14 7.1528E-14 -2.3215E-14 -9.6859E-13 8.0026E-14 1.4636E-13 -5.9753E-15 -2.3215E-14 6.8971E-13 4.4790E-13 -1.3066E-12 3.4086E-12 3.9489E-13 -9.6859E-13 4.4790E-13 2.6877E-11 # lat0 lon0 xBary yBary zBary JD0 -17.427787 23.022438 0.210906 -0.292758 -0.932986 2456569.754058 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 20.76451 +/- 0.014 Argument of Peri: 192.93081 +/- 0.028 Long of Asc Node: 154.18213 +/- 0.001 Inclination: 22.15954 +/- 0.000 Eccentricity: 0.28543997 +/- 0.0002 Semi-Major Axis: 48.08420014 +/- 0.0099 Time of Perihelion: 2449545.9057 +/- 5.2 Perihelion: 34.35904726 +/- 0.0110 Aphelion: 61.80935302 +/- 0.0153 Period (y) 333.4355 +/- 0.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.80060002 +/- 0.0009 Ecliptic Y 13.28740692 +/- 0.0004 Ecliptic Z -10.51186805 +/- 0.0003 Ecliptic XDOT -0.00099879 +/- 0.0000 Ecliptic YDOT 0.00291209 +/- 0.0000 Ecliptic ZDOT -0.00089046 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.03229294 +/- 0.0008 Geocenter to KBO 35.09704988 +/- 0.0010 # Hcoef: 8.23
The following table shows the complete astrometric record for 13VD72. 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 (13VD72) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.25328 01 50 53.758 -07 15 34.13 24.0r 13VD72 W84 C~55OI 2013 10 04.25470 01 50 53.744 -07 15 34.05 23.3i 13VD72 W84 C~55OI 2013 11 03.04678 01 48 23.01 -07 31 48.2 24.4r 13VD72 W84 C~55OI 2013 11 03.11037 01 48 22.68 -07 31 49.9 13VD72 W84 C~55OI 2013 11 03.23022 01 48 22.09 -07 31 52.7 13VD72 W84 C~55OI 2014 08 19.37229 02 00 55.066 -06 28 34.97 24.0r 13VD72 W84 C~55OI 2014 09 24.28066 01 59 10.544 -06 53 57.81 23.7r 13VD72 W84 C~55OI 2014 09 25.26736 01 59 06.332 -06 54 39.24 23.5i 13VD72 W84 C~55OI 2014 11 16.14876 01 54 51.762 -07 21 33.05 23.2r 13VD72 W84 C~55OI 2014 11 16.15011 01 54 51.736 -07 21 33.07 23.6i 13VD72 W84 C~55OI 2016 10 27.18449 02 11 15.233 -06 44 30.64 24.3r 13VD72 W84 C~55OI 2017 11 27.15881 02 16 00.568 -06 38 58.28 23.5i 13VD72 W84 C~55OI 2017 12 10.06237 02 15 09.730 -06 39 30.32 23.6r 13VD72 W84 C~55OI 2018 11 06.17638 02 24 52.992 -06 17 54.33 23.4i 13VD72 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 0.01 0.00 -0.16
2 0.0000 0.00 -0.09 0.00 -0.02
3 0.0816 0.00 -0.15 0.00 0.21
4 0.0817 0.00 -0.24 0.00 0.05
5 0.0821 0.00 0.08 0.00 0.12
6 0.8737 0.00 0.07 0.00 -0.19
7 0.9720 0.00 0.06 0.00 -0.11
8 0.9747 0.00 0.02 0.00 0.06
9 1.1168 0.00 0.38 0.00 -0.02
10 1.1168 0.00 0.08 0.00 -0.02
11 3.0635 0.00 -0.05 0.00 0.11
12 4.1476 0.00 -0.32 0.00 0.10
13 4.1829 0.00 -0.08 0.00 -0.06
14 5.0895 0.00 0.26 0.00 -0.04
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.
13VD72 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.438 48.438 48.438 ecceobj 0.291 0.291 0.291 incobj 22.117 22.117 22.117 qmin 29.185 33.307 29.568 qmax 67.567 63.210 67.165 amean 47.796 47.795 47.796 amin 47.122 47.166 47.134 amax 48.620 48.492 48.613 emean 0.301 0.250 0.293 emin 0.191 0.192 0.187 emax 0.390 0.304 0.383 imean 19.772 22.610 20.231 imin 14.861 20.918 15.625 imax 24.165 24.199 24.323 excite_mean 0.459 0.460 0.459 fracstop 1.000 1.000 1.000 cjmean 2.882 2.881 2.882 libcent 0 174.1 175.4 97.3 libamp 0 148.7 150.9 72.2 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 241.1 233.9 260.4 kozaiamp 180.0 180.0 180.0