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: 13SD113 # Created Fri Apr 26 01:15:15 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 5.99y # First observation: 2013/09/30 # Last observation: 2019/09/27 # Chi-squared of fit: 11.69 DOF: 46 RMS: 0.12 # Min/Max residuals: -0.24 0.30 # Exact a, adot, b, bdot, g, gdot: 1.646825E-05 2.579316E-02 5.362441E-06 8.392813E-03 2.567283E-02 -1.216407E-03 # Covariance matrix: 2.6600E-13 -1.0523E-13 1.3835E-14 -2.0058E-14 5.9270E-14 -4.0359E-13 -1.0523E-13 1.1265E-13 -2.6851E-14 3.3725E-14 6.9939E-14 6.7411E-13 1.3835E-14 -2.6851E-14 2.0579E-13 -5.3857E-14 -2.7952E-14 -1.8440E-13 -2.0058E-14 3.3725E-14 -5.3857E-14 2.5542E-14 2.6127E-14 2.3068E-13 5.9270E-14 6.9939E-14 -2.7952E-14 2.6127E-14 3.9216E-13 5.1325E-13 -4.0359E-13 6.7411E-13 -1.8440E-13 2.3068E-13 5.1325E-13 4.6100E-12 # lat0 lon0 xBary yBary zBary JD0 -7.945486 2.981635 -0.067264 -0.138044 -0.989792 2456565.670898 # Heliocentric elements and errors Epoch: 2456566.5000 = 2013/10/01 Mean Anomaly: 344.01224 +/- 0.027 Argument of Peri: 357.48391 +/- 0.036 Long of Asc Node: 25.57016 +/- 0.000 Inclination: 19.58027 +/- 0.000 Eccentricity: 0.13811510 +/- 0.0001 Semi-Major Axis: 45.96135050 +/- 0.0052 Time of Perihelion: 2461620.9366 +/- 20.3 Perihelion: 39.61339386 +/- 0.0058 Aphelion: 52.30930715 +/- 0.0070 Period (y) 311.5999 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.51963122 +/- 0.0009 Ecliptic Y 2.12889944 +/- 0.0000 Ecliptic Z -5.38413980 +/- 0.0001 Ecliptic XDOT -0.00015400 +/- 0.0000 Ecliptic YDOT 0.00274538 +/- 0.0000 Ecliptic ZDOT 0.00090452 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.94151621 +/- 0.0009 Geocenter to KBO 38.95176073 +/- 0.0010 # Hcoef: 7.54
The following table shows the complete astrometric record for 13SD113. 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 (13SD113) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.17012 00 23 36.567 -06 06 14.14 22.9r 13SD113 W84 C~52RV 2013 09 30.17161 00 23 36.585 -06 06 13.99 22.8i 13SD113 W84 C~52RV 2013 11 08.07750 00 20 46.448 -06 17 43.49 23.9r 13SD113 W84 C~52RV 2013 11 08.07887 00 20 46.460 -06 17 43.42 23.0i 13SD113 W84 C~52RV 2013 11 08.08025 00 20 46.437 -06 17 43.59 23.5z 13SD113 W84 C~52RV 2014 10 03.26882 00 28 02.969 -05 05 27.67 23.5z 13SD113 W84 C~52RV 2014 10 03.27018 00 28 02.946 -05 05 27.59 22.6i 13SD113 W84 C~52RV 2016 09 09.27364 00 39 11.795 -02 50 31.71 23.1r 13SD113 W84 C~52RV 2016 09 09.27503 00 39 11.790 -02 50 31.98 23.3i 13SD113 W84 C~52RV 2016 09 09.27641 00 39 11.793 -02 50 32.06 24.0g 13SD113 W84 C~52RV 2016 11 06.19390 00 34 46.752 -03 12 15.05 22.9i 13SD113 W84 C~52RV 2016 11 18.07307 00 34 05.670 -03 14 05.66 22.8r 13SD113 W84 C~52RV 2016 11 18.07445 00 34 05.672 -03 14 05.97 24.4g 13SD113 W84 C~52RV 2016 11 26.09648 00 33 43.596 -03 14 34.70 23.5r 13SD113 W84 C~52RV 2016 11 26.09786 00 33 43.588 -03 14 34.70 24.2g 13SD113 W84 C~52RV 2017 09 18.24703 00 43 11.526 -01 51 50.21 23.0i 13SD113 W84 C~52RV 2017 09 18.24840 00 43 11.507 -01 51 50.25 23.5r 13SD113 W84 C~52RV 2017 10 20.16631 00 40 39.127 -02 04 58.10 22.7i 13SD113 W84 C~52RV 2017 10 22.15797 00 40 29.941 -02 05 39.18 23.0z 13SD113 W84 C~52RV 2018 11 08.17949 00 43 57.011 -01 07 55.04 23.8r 13SD113 W84 C~52RV 2018 11 08.18087 00 43 57.008 -01 07 55.24 23.1i 13SD113 W84 C~52RV 2018 11 27.08311 00 42 54.897 -01 10 44.28 24.1g 13SD113 W84 C~52RV 2019 09 27.32266 00 51 50.70 +00 10 04.2 24.6g 13SD113 T09 C~7gpX 2019 09 27.40660 00 51 50.30 +00 10 02.1 24.7g 13SD113 T09 C~7gpX 2019 09 27.51242 00 51 49.78 +00 09 59.4 24.4g 13SD113 T09 C~7gpX 2019 09 27.58210 00 51 49.43 +00 09 57.5 25.0g 13SD113 T09 C~7gpX
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 -0.09 0.00 -0.08
2 0.0000 0.00 0.29 0.00 0.10
3 0.1065 0.00 -0.13 0.00 0.07
4 0.1065 0.00 0.12 0.00 0.16
5 0.1065 0.00 -0.15 0.00 -0.00
6 1.0078 0.00 0.00 0.00 -0.15
7 1.0078 0.00 -0.24 0.00 -0.04
8 2.9435 0.00 -0.01 0.00 0.19
9 2.9435 0.00 0.01 0.00 -0.04
10 2.9435 0.00 0.14 0.00 -0.08
11 3.1021 0.00 0.03 0.00 -0.09
12 3.1346 0.00 -0.01 0.00 0.30
13 3.1346 0.00 0.09 0.00 -0.00
14 3.1565 0.00 0.01 0.00 -0.03
15 3.1565 0.00 -0.06 0.00 -0.03
16 3.9674 0.00 0.17 0.00 -0.02
17 3.9674 0.00 -0.02 0.00 -0.02
18 4.0547 0.00 0.13 0.00 -0.21
19 4.0602 0.00 -0.03 0.00 -0.18
20 5.1061 0.00 0.05 0.00 0.05
21 5.1061 0.00 0.08 0.00 -0.13
22 5.1579 0.00 0.08 0.00 -0.06
23 5.9908 0.00 -0.07 0.00 0.04
24 5.9911 0.00 0.03 0.00 0.11
25 5.9914 0.00 -0.05 0.00 0.15
26 5.9915 0.00 -0.23 0.00 0.05
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.
13SD113 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.240 46.240 46.240 ecceobj 0.143 0.143 0.143 incobj 19.543 19.543 19.543 qmin 38.751 38.747 38.750 qmax 53.523 53.519 53.514 amean 45.969 45.969 45.969 amin 45.604 45.588 45.606 amax 46.388 46.402 46.389 emean 0.141 0.141 0.141 emin 0.128 0.128 0.128 emax 0.154 0.154 0.154 imean 19.123 19.123 19.123 imin 18.857 18.862 18.862 imax 19.501 19.499 19.501 excite_mean 0.357 0.357 0.357 fracstop 1.000 1.000 1.000 cjmean 2.966 2.966 2.966 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 169.9 170.0 169.9 kozaiamp 180.0 180.0 180.0