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: 13SZ100 # Created Tue Apr 1 01:09:41 2025 # Orbit generated from Bernstein formalism # Fitting 37 observations of 37 # Arc: 4.07y # First observation: 2013/08/05 # Last observation: 2017/08/30 Preliminary a, adot, b, bdot, g, gdot: -0.000122 0.019088 -0.000003 0.002710 0.021617 0.000000 # Chi-squared of fit: 21.41 DOF: 68 RMS: 0.13 # Min/Max residuals: -0.44 0.31 # Exact a, adot, b, bdot, g, gdot: 1.463472E-05 1.903206E-02 2.673679E-06 2.707677E-03 2.166961E-02 4.043573E-04 # Covariance matrix: 1.2910E-13 -3.5906E-14 7.4844E-16 -5.9406E-16 7.2450E-14 -3.5189E-14 -3.5906E-14 1.7519E-13 -7.9404E-15 2.3332E-14 8.5968E-14 2.2576E-12 7.4844E-16 -7.9404E-15 6.7264E-14 -2.8505E-14 -4.2551E-15 -1.2067E-13 -5.9406E-16 2.3332E-14 -2.8505E-14 3.0865E-14 1.4517E-14 3.5710E-13 7.2450E-14 8.5968E-14 -4.2551E-15 1.4517E-14 1.4712E-13 1.4326E-12 -3.5189E-14 2.2576E-12 -1.2067E-13 3.5710E-13 1.4326E-12 3.4588E-11 # lat0 lon0 xBary yBary zBary JD0 -2.633507 11.107147 0.863385 -0.024606 -0.535573 2456509.997828 # Heliocentric elements and errors Epoch: 2456500.5000 = 2013/07/27 Mean Anomaly: 179.71738 +/- 0.237 Argument of Peri: 162.21985 +/- 0.237 Long of Asc Node: 27.86615 +/- 0.001 Inclination: 8.45047 +/- 0.000 Eccentricity: 0.06860086 +/- 0.0000 Semi-Major Axis: 43.69407500 +/- 0.0023 Time of Perihelion: 2509330.8663 +/- 69.4 Perihelion: 40.69662398 +/- 0.0030 Aphelion: 46.69152602 +/- 0.0032 Period (y) 288.8298 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 45.92758095 +/- 0.0008 Ecliptic Y 8.13992578 +/- 0.0001 Ecliptic Z -2.12018430 +/- 0.0000 Ecliptic XDOT -0.00040396 +/- 0.0000 Ecliptic YDOT 0.00237158 +/- 0.0000 Ecliptic ZDOT 0.00033953 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.69150099 +/- 0.0008 Geocenter to KBO 46.14758654 +/- 0.0008 # Hcoef: 7.96
The following table shows the complete astrometric record for 13SZ100. 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 (13SZ100) followed by the observatory code and reference code for the source of the astrometry.
2013 08 05.49705 00 44 58.077 +01 58 15.44 23.9r 13SZ100 568 C~2NKN 2013 08 05.55029 00 44 57.974 +01 58 14.82 24.1r 13SZ100 568 C~2NKN 2013 08 08.47594 00 44 52.425 +01 57 35.20 24.8r 13SZ100 568 C~2NKN 2013 08 08.51475 00 44 52.341 +01 57 34.65 26.5r 13SZ100 568 C~2NKN 2013 08 31.56101 00 43 50.039 +01 50 36.41 23.5r 13SZ100 568 C~2NKN 2013 09 05.42605 00 43 33.317 +01 48 49.35 24.4r 13SZ100 568 C~2NKN 2013 09 05.46492 00 43 33.171 +01 48 48.32 24.7r 13SZ100 568 C~2NKN 2013 09 29.35704 00 42 00.187 +01 39 11.79 24.1r 13SZ100 568 C~2NKN 2013 09 29.39589 00 42 00.025 +01 39 10.77 24.2r 13SZ100 568 C~2NKN 2013 09 29.43972 00 41 59.861 +01 39 09.70 24.1r 13SZ100 568 C~2NKN 2013 10 05.31801 00 41 35.548 +01 36 44.02 25.5r 13SZ100 568 C~2NKN 2013 10 05.32294 00 41 35.551 +01 36 44.02 24.7r 13SZ100 568 C~2NKN 2013 10 05.35570 00 41 35.390 +01 36 43.38 24.9r 13SZ100 568 C~2NKN 2013 10 06.36409 00 41 31.210 +01 36 18.86 24.6r 13SZ100 568 C~2NKN 2013 10 06.42856 00 41 30.936 +01 36 17.13 24.3r 13SZ100 568 C~2NKN 2013 11 27.28847 00 38 33.696 +01 20 27.02 24.5r 13SZ100 568 C~2NKN 2013 12 05.33562 00 38 18.924 +01 19 32.16 24.5r 13SZ100 568 C~2NKN 2013 12 05.34248 00 38 18.932 +01 19 32.50 24.5r 13SZ100 568 C~2NKN 2013 12 06.20469 00 38 17.652 +01 19 28.27 25.3r 13SZ100 568 C~2NKN 2014 06 25.59667 00 48 52.495 +02 34 21.52 24.4r 13SZ100 568 C~2NKN 2014 06 26.59553 00 48 53.825 +02 34 28.04 24.6r 13SZ100 568 C~2NKN 2014 07 24.59245 00 49 00.225 +02 34 18.48 24.7r 13SZ100 568 C~2NKN 2014 08 24.49767 00 48 00.609 +02 27 23.01 24.5r 13SZ100 568 C~2NKN 2014 08 28.46980 00 47 48.632 +02 26 04.82 24.6r 13SZ100 568 C~2NKN 2014 10 27.28941 00 43 56.588 +02 02 48.25 24.6r 13SZ100 568 C~2NKN 2014 10 27.29329 00 43 56.571 +02 02 48.26 24.3r 13SZ100 568 C~2NKN 2014 11 24.27113 00 42 27.499 +01 55 08.76 24.7r 13SZ100 568 C~2NKN 2014 11 24.27501 00 42 27.502 +01 55 09.01 24.9r 13SZ100 568 C~2NKN 2014 11 25.29743 00 42 25.057 +01 54 57.68 24.8r 13SZ100 568 C~2NKN 2014 11 25.30131 00 42 25.043 +01 54 57.91 24.2r 13SZ100 568 C~2NKN 2015 01 17.23338 00 42 08.468 +01 57 36.07 25.3r 13SZ100 568 C~2NKN 2015 08 20.53545 00 51 59.551 +03 02 49.04 24.3r 13SZ100 568 C~2NKN 2015 12 07.36135 00 45 47.775 +02 27 28.16 24.9w 13SZ100 568 C~2NKN 2017 07 17.62072 01 00 18.791 +04 15 58.78 26.1w 13SZ100 568 C~2NKN 2017 07 23.60916 01 00 16.837 +04 15 40.02 24.5w 13SZ100 568 C~2NKN 2017 08 25.53703 00 59 19.483 +04 09 18.68 24.5w 13SZ100 568 C~2NKN 2017 08 30.47857 00 59 04.872 +04 07 46.77 24.8w 13SZ100 568 C~2NKN
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 -0.15 0.00 -0.14
2 0.0001 -1.66 -0.17 0.03 -0.06
3 0.0082 -93.72 0.06 -3.95 -0.03
4 0.0083 -95.09 0.01 -3.97 -0.01
5 0.0714 -1118.28 0.30 -24.11 -0.36
6 0.0847 -1390.90 0.01 -24.70 0.15
7 0.0848 -1393.32 -0.12 -24.80 0.05
8 0.1502 -2902.05 0.01 -10.59 0.17
9 0.1503 -2904.68 -0.01 -10.58 0.12
10 0.1504 -2907.37 0.28 -10.60 0.02
11 0.1665 -3299.94 -0.09 -2.16 -0.22
12 0.1665 -3299.90 0.29 -2.18 -0.25
13 0.1666 -3302.37 0.03 -1.83 0.03
14 0.1694 -3369.66 0.04 0.11 0.25
15 0.1696 -3374.12 -0.06 0.13 0.13
16 0.3115 -6193.29 0.15 165.34 0.11
17 0.3336 -6418.82 -0.44 201.56 -0.10
18 0.3336 -6418.58 -0.03 201.83 0.13
19 0.3360 -6437.92 -0.09 205.45 -0.20
20 0.8873 4080.77 0.12 623.23 0.02
21 0.8901 4101.67 -0.13 621.46 -0.07
22 0.9667 4186.29 -0.06 575.26 0.08
23 1.0513 3201.29 -0.03 541.07 0.07
24 1.0622 3005.48 -0.08 539.09 -0.03
25 1.2260 -741.97 -0.02 611.21 -0.00
26 1.2260 -742.20 -0.02 611.32 0.09
27 1.3026 -2150.95 0.02 710.21 -0.01
28 1.3026 -2150.81 0.31 710.42 0.18
29 1.3054 -2188.98 -0.07 714.32 -0.16
30 1.3054 -2189.08 -0.03 714.62 0.12
31 1.4503 -2355.99 0.03 957.35 -0.00
32 2.0398 7329.66 -0.05 1104.25 0.01
33 2.3378 1370.24 -0.03 1322.72 0.00
34 3.9483 15950.20 0.13 2251.54 0.00
35 3.9647 15915.78 -0.06 2245.53 -0.03
36 4.0549 14971.73 -0.03 2225.85 -0.05
37 4.0684 14733.35 -0.01 2225.74 -0.02
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.
13SZ100 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.910 43.918 43.903 ecceobj 0.063 0.063 0.063 incobj 8.430 8.430 8.430 qmin 38.900 39.147 38.544 qmax 48.866 48.621 49.354 amean 43.697 43.703 43.701 amin 43.318 43.333 43.316 amax 44.160 44.141 44.152 emean 0.073 0.068 0.084 emin 0.046 0.041 0.051 emax 0.107 0.102 0.119 imean 7.593 7.667 7.605 imin 6.706 6.848 6.600 imax 8.410 8.411 8.468 excite_mean 0.151 0.150 0.158 fracstop 1.000 1.000 1.000 cjmean 3.070 3.071 3.068 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 180.9 180.2 186.0 kozaiamp 179.9 180.0 179.9