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: 13SB112 # Created Fri Nov 22 02:09:38 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 17 observations of 17 # Arc: 9.08y # First observation: 2013/09/28 # Last observation: 2022/10/29 # Chi-squared of fit: 6.83 DOF: 28 RMS: 0.11 # Min/Max residuals: -0.32 0.22 # Exact a, adot, b, bdot, g, gdot: 1.566943E-05 2.538587E-02 8.725517E-06 1.647049E-02 2.832505E-02 -1.923670E-03 # Covariance matrix: 3.2235E-13 -1.2022E-13 6.4886E-14 -6.4531E-14 2.2044E-13 -4.1458E-13 -1.2022E-13 8.1158E-14 -5.1921E-14 5.0603E-14 -8.0109E-14 3.2351E-13 6.4886E-14 -5.1921E-14 2.1533E-13 -6.4213E-14 5.3433E-14 -2.3077E-13 -6.4531E-14 5.0603E-14 -6.4213E-14 4.3630E-14 -5.7679E-14 2.2514E-13 2.2044E-13 -8.0109E-14 5.3433E-14 -5.7679E-14 6.0397E-13 -3.7750E-13 -4.1458E-13 3.2351E-13 -2.3077E-13 2.2514E-13 -3.7750E-13 1.4397E-12 # lat0 lon0 xBary yBary zBary JD0 -5.197135 6.865820 0.036103 -0.090637 -0.997520 2456563.603798 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 313.26933 +/- 0.051 Argument of Peri: 45.05148 +/- 0.062 Long of Asc Node: 14.54379 +/- 0.000 Inclination: 33.32139 +/- 0.000 Eccentricity: 0.08415854 +/- 0.0000 Semi-Major Axis: 38.35735554 +/- 0.0048 Time of Perihelion: 2467827.9372 +/- 18.9 Perihelion: 35.12925636 +/- 0.0048 Aphelion: 41.58545471 +/- 0.0056 Period (y) 237.5643 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.90548441 +/- 0.0010 Ecliptic Y 4.28999993 +/- 0.0001 Ecliptic Z -3.19768095 +/- 0.0001 Ecliptic XDOT -0.00034017 +/- 0.0000 Ecliptic YDOT 0.00242995 +/- 0.0000 Ecliptic ZDOT 0.00160245 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.30200935 +/- 0.0009 Geocenter to KBO 35.30450507 +/- 0.0010 # Hcoef: 8.22
The following table shows the complete astrometric record for 13SB112. 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 (13SB112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 28.10302 00 33 25.864 -02 02 55.84 24.3g 13SB112 W84 C~52RU 2013 10 13.16167 00 32 03.132 -02 09 00.24 23.5i 13SB112 W84 C~52RU 2013 10 13.16624 00 32 03.107 -02 09 00.07 23.5z 13SB112 W84 C~52RU 2013 11 23.14325 00 29 00.692 -02 18 03.85 24.2r 13SB112 W84 C~52RU 2013 11 23.14465 00 29 00.702 -02 18 03.96 23.3i 13SB112 W84 C~52RU 2014 10 02.24215 00 36 55.712 -00 37 56.34 23.5r 13SB112 W84 C~52RU 2014 11 13.12979 00 33 25.531 -00 51 17.43 23.5i 13SB112 W84 C~52RU 2016 09 09.28058 00 46 39.679 +02 25 24.87 23.7r 13SB112 W84 C~52RU 2016 09 09.28195 00 46 39.671 +02 25 24.83 23.0i 13SB112 W84 C~52RU 2016 11 18.08134 00 40 43.989 +02 00 31.50 24.1r 13SB112 W84 C~52RU 2017 08 28.27853 00 51 29.109 +03 56 43.09 23.9r 13SB112 W84 C~52RU 2017 09 27.22811 00 49 00.268 +03 45 42.32 23.7r 13SB112 W84 C~52RU 2017 09 27.22950 00 49 00.245 +03 45 42.20 23.3i 13SB112 W84 C~52RU 2017 09 27.23087 00 49 00.246 +03 45 42.14 24.6g 13SB112 W84 C~52RU 2022 10 29.291320 01 06 05.068 +10 53 22.32 23.5G 13SB112 G37 C~5z0K 2022 10 29.329860 01 06 04.857 +10 53 21.29 13SB112 G37 C~5z0K 2022 10 29.368450 01 06 04.648 +10 53 20.16 13SB112 G37 C~5z0K
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 -0.32 0.00 -0.03
2 0.0412 0.00 -0.00 0.00 -0.12
3 0.0412 0.00 0.00 0.00 0.15
4 0.1534 0.00 -0.18 0.00 0.10
5 0.1534 0.00 0.04 0.00 -0.01
6 1.0106 0.00 0.02 0.00 0.06
7 1.1253 0.00 0.22 0.00 0.08
8 2.9492 0.00 0.19 0.00 -0.05
9 2.9492 0.00 0.17 0.00 -0.06
10 3.1403 0.00 0.07 0.00 0.00
11 3.9156 0.00 0.03 0.00 -0.07
12 3.9976 0.00 0.10 0.00 0.02
13 3.9976 0.00 -0.13 0.00 -0.07
14 3.9976 0.00 0.00 0.00 -0.10
15 9.0847 0.00 -0.09 0.00 0.14
16 9.0848 0.00 -0.07 0.00 0.07
17 9.0849 0.00 -0.02 0.00 -0.10
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.
13SB112 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.517 38.517 38.517 ecceobj 0.085 0.085 0.085 incobj 33.242 33.242 33.242 qmin 34.441 34.360 34.491 qmax 42.490 42.603 42.431 amean 38.346 38.347 38.342 amin 38.043 38.042 38.045 amax 38.682 38.668 38.669 emean 0.085 0.085 0.083 emin 0.070 0.068 0.069 emax 0.099 0.102 0.098 imean 33.131 33.131 33.138 imin 32.728 32.746 32.741 imax 33.555 33.545 33.563 excite_mean 0.553 0.553 0.553 fracstop 1.000 1.000 1.000 cjmean 2.669 2.669 2.669 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 171.9 171.7 171.5 kozaiamp 180.0 179.9 180.0