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: 13SM106 # Created Sat Apr 27 01:15:07 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 24 observations of 24 # Arc: 7.06y # First observation: 2013/09/29 # Last observation: 2020/10/20 # Chi-squared of fit: 9.97 DOF: 42 RMS: 0.11 # Min/Max residuals: -0.43 0.29 # Exact a, adot, b, bdot, g, gdot: 1.722586E-05 2.878620E-02 4.453254E-06 8.666413E-03 2.721487E-02 1.368093E-03 # Covariance matrix: 3.9674E-13 -2.0235E-13 3.0538E-14 -4.9827E-14 3.6725E-13 -7.6321E-13 -2.0235E-13 3.9739E-13 -7.7637E-14 1.2054E-13 1.7452E-13 1.8355E-12 3.0538E-14 -7.7637E-14 1.1371E-13 -4.4302E-14 -4.7960E-14 -3.7161E-13 -4.9827E-14 1.2054E-13 -4.4302E-14 4.8644E-14 6.9357E-14 5.7577E-13 3.6725E-13 1.7452E-13 -4.7960E-14 6.9357E-14 1.0293E-12 1.0468E-12 -7.6321E-13 1.8355E-12 -3.7161E-13 5.7577E-13 1.0468E-12 8.7657E-12 # lat0 lon0 xBary yBary zBary JD0 -2.410644 13.681893 0.135482 -0.041650 -0.991852 2456564.731898 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 10.98176 +/- 0.025 Argument of Peri: 336.13101 +/- 0.037 Long of Asc Node: 21.23484 +/- 0.000 Inclination: 16.89752 +/- 0.000 Eccentricity: 0.17335619 +/- 0.0001 Semi-Major Axis: 45.39689537 +/- 0.0084 Time of Perihelion: 2453156.4417 +/- 7.9 Perihelion: 37.52706269 +/- 0.0090 Aphelion: 53.26672805 +/- 0.0114 Period (y) 305.8774 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.66640779 +/- 0.0013 Ecliptic Y 8.78979148 +/- 0.0003 Ecliptic Z -1.54538766 +/- 0.0001 Ecliptic XDOT -0.00052191 +/- 0.0000 Ecliptic YDOT 0.00285363 +/- 0.0000 Ecliptic ZDOT 0.00086543 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.73688074 +/- 0.0013 Geocenter to KBO 36.74462773 +/- 0.0014 # Hcoef: 7.46
The following table shows the complete astrometric record for 13SM106. 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 (13SM106) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.23112 00 54 06.591 +03 10 35.60 22.7r 13SM106 W84 C~4yR3 2013 09 29.23112 00 54 06.59 +03 10 35.6 22.8r 13SM106 W84 C~3clG 2013 11 08.18539 00 50 53.784 +02 54 32.13 23.0r 13SM106 W84 C~4yR3 2013 11 08.18539 00 50 53.78 +02 54 32.1 23.1r 13SM106 W84 C~3clG 2013 11 08.18675 00 50 53.776 +02 54 32.18 22.7i 13SM106 W84 C~4yR3 2013 11 08.18675 00 50 53.78 +02 54 32.2 22.9i 13SM106 W84 C~3clG 2014 10 02.26366 00 59 11.745 +04 14 58.63 23.6g 13SM106 W84 C~4yR3 2014 10 02.26366 00 59 11.75 +04 14 58.7 23.9g 13SM106 W84 C~3clH 2014 10 21.21035 00 57 36.076 +04 06 46.21 23.1r 13SM106 W84 C~4yR3 2014 10 21.21035 00 57 36.08 +04 06 46.2 23.1r 13SM106 W84 C~3clH 2014 10 21.23093 00 57 35.962 +04 06 45.77 22.9i 13SM106 W84 C~4yR3 2014 10 27.20130 00 57 06.892 +04 04 20.90 23.7g 13SM106 W84 C~4yR3 2014 10 29.19517 00 56 57.409 +04 03 35.06 23.0r 13SM106 W84 C~4yR3 2014 10 29.19517 00 56 57.41 +04 03 35.1 23.3r 13SM106 W84 C~3clH 2014 10 29.20220 00 56 57.381 +04 03 34.84 23.4i 13SM106 W84 C~4yR3 2014 11 13.07356 00 55 52.402 +03 58 31.17 23.7g 13SM106 W84 C~4yR3 2014 11 13.08217 00 55 52.381 +03 58 31.04 23.3r 13SM106 W84 C~4yR3 2014 11 13.08217 00 55 52.38 +03 58 31.1 23.5r 13SM106 W84 C~3clH 2014 11 14.06878 00 55 48.489 +03 58 14.07 22.7z 13SM106 W84 C~4yR3 2014 11 15.08114 00 55 44.560 +03 57 56.95 23.4z 13SM106 W84 C~4yR3 2020 09 21.349610 01 31 58.460 +10 43 34.67 23.1G 13SM106 G37 C~49wW 2020 09 21.406890 01 31 58.195 +10 43 33.54 13SM106 G37 C~49wW 2020 10 20.210470 01 29 35.127 +10 32 20.56 23.0G 13SM106 G37 C~4Kvx 2020 10 20.260960 01 29 34.864 +10 32 19.26 13SM106 G37 C~4Kvx
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 -0.14 0.00 0.07
2 0.0000 0.00 -0.16 0.00 0.07
3 0.1094 0.00 0.03 0.00 0.00
4 0.1094 0.00 -0.03 0.00 -0.03
5 0.1094 0.00 -0.00 0.00 0.08
6 0.1094 0.00 0.06 0.00 0.10
7 1.0076 0.00 0.07 0.00 0.22
8 1.0076 0.00 0.15 0.00 0.29
9 1.0595 0.00 0.04 0.00 -0.04
10 1.0595 0.00 -0.02 0.00 -0.03
11 1.0595 0.00 -0.18 0.00 0.04
12 1.0759 0.00 0.21 0.00 -0.43
13 1.0814 0.00 -0.00 0.00 0.01
14 1.0814 0.00 -0.02 0.00 -0.03
15 1.0814 0.00 0.07 0.00 -0.09
16 1.1221 0.00 -0.09 0.00 -0.14
17 1.1221 0.00 0.10 0.00 -0.06
18 1.1221 0.00 0.12 0.00 -0.12
19 1.1248 0.00 -0.01 0.00 0.03
20 1.1276 0.00 -0.10 0.00 0.03
21 6.9791 0.00 -0.06 0.00 -0.01
22 6.9793 0.00 -0.07 0.00 0.02
23 7.0581 0.00 0.03 0.00 0.05
24 7.0583 0.00 0.04 0.00 0.00
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.
13SM106 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.689 45.689 45.689 ecceobj 0.179 0.179 0.179 incobj 16.860 16.860 16.860 qmin 36.553 36.555 36.537 qmax 54.562 54.555 54.632 amean 45.357 45.357 45.357 amin 44.973 44.969 44.972 amax 45.801 45.791 45.810 emean 0.176 0.176 0.176 emin 0.162 0.162 0.162 emax 0.192 0.192 0.193 imean 16.402 16.402 16.402 imin 15.853 15.853 15.853 imax 16.992 16.992 16.992 excite_mean 0.333 0.333 0.333 fracstop 1.000 1.000 1.000 cjmean 2.982 2.982 2.982 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 178.5 178.4 178.4 kozaiamp 180.0 179.9 180.0