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: 13SZ99 # Created Fri Nov 22 02:09:35 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 44 observations of 44 # Arc: 6.22y # First observation: 2013/08/05 # Last observation: 2019/10/26 # Chi-squared of fit: 29.16 DOF: 82 RMS: 0.14 # Min/Max residuals: -0.55 0.48 # Exact a, adot, b, bdot, g, gdot: 1.480580E-05 2.474516E-02 -4.936948E-06 -8.792733E-03 2.616675E-02 8.923989E-04 # Covariance matrix: 1.0735E-13 -1.9483E-14 -7.5428E-16 4.7340E-15 7.1347E-14 -9.0423E-14 -1.9483E-14 1.0633E-13 1.5286E-14 -3.9867E-14 4.6475E-14 8.2130E-13 -7.5428E-16 1.5286E-14 5.0364E-14 -2.0282E-14 7.8760E-15 1.3484E-13 4.7340E-15 -3.9867E-14 -2.0282E-14 3.0488E-14 -1.7070E-14 -3.5354E-13 7.1347E-14 4.6475E-14 7.8760E-15 -1.7070E-14 1.1635E-13 3.6056E-13 -9.0423E-14 8.2130E-13 1.3484E-13 -3.5354E-13 3.6056E-13 7.2786E-12 # lat0 lon0 xBary yBary zBary JD0 -3.034741 12.729431 0.878320 -0.027043 -0.510593 2456509.986158 # Heliocentric elements and errors Epoch: 2456510.5000 = 2013/08/06 Mean Anomaly: 134.67408 +/- 0.344 Argument of Peri: 53.01988 +/- 0.342 Long of Asc Node: 183.09765 +/- 0.000 Inclination: 19.83981 +/- 0.000 Eccentricity: 0.01443267 +/- 0.0001 Semi-Major Axis: 38.34436267 +/- 0.0018 Time of Perihelion: 2424066.6628 +/- 82.8 Perihelion: 37.79095129 +/- 0.0031 Aphelion: 38.89777404 +/- 0.0031 Period (y) 237.4436 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.91693522 +/- 0.0005 Ecliptic Y 7.66806949 +/- 0.0001 Ecliptic Z -2.02337750 +/- 0.0000 Ecliptic XDOT -0.00053329 +/- 0.0000 Ecliptic YDOT 0.00253444 +/- 0.0000 Ecliptic ZDOT -0.00092350 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.73740887 +/- 0.0005 Geocenter to KBO 38.21644479 +/- 0.0005 # Hcoef: 7.85
The following table shows the complete astrometric record for 13SZ99. 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 (13SZ99) followed by the observatory code and reference code for the source of the astrometry.
2013 08 05.48538 00 51 34.015 +02 13 56.74 23.8r 13SZ99 568 C~2NKK 2013 08 05.53383 00 51 33.928 +02 13 55.96 23.7r 13SZ99 568 C~2NKK 2013 08 08.46429 00 51 28.320 +02 12 51.51 23.7r 13SZ99 568 C~2NKK 2013 08 08.50311 00 51 28.252 +02 12 50.43 23.9r 13SZ99 568 C~2NKK 2013 08 31.54913 00 50 21.179 +02 02 15.56 23.9r 13SZ99 568 C~2NKK 2013 08 31.59296 00 50 21.021 +02 02 14.00 23.6r 13SZ99 568 C~2NKK 2013 08 31.59772 00 50 21.020 +02 02 14.41 23.5r 13SZ99 568 C~2NKK 2013 08 31.60285 00 50 20.962 +02 02 14.09 23.7r 13SZ99 568 C~2NKK 2013 08 31.60762 00 50 20.977 +02 02 13.89 23.8r 13SZ99 568 C~2NKK 2013 08 31.61256 00 50 20.975 +02 02 13.64 23.7r 13SZ99 568 C~2NKK 2013 09 01.43491 00 50 17.923 +02 01 47.38 23.7r 13SZ99 568 C~2NKK 2013 09 01.47388 00 50 17.779 +02 01 46.11 23.7r 13SZ99 568 C~2NKK 2013 09 05.41441 00 50 02.613 +01 59 37.80 23.5r 13SZ99 568 C~2NKK 2013 09 05.45322 00 50 02.455 +01 59 36.41 24.0r 13SZ99 568 C~2NKK 2013 09 29.34540 00 48 16.753 +01 45 38.92 23.1r 13SZ99 568 C~2Gdp 2013 09 29.38422 00 48 16.579 +01 45 37.50 23.4r 13SZ99 568 C~2Gdp 2013 09 29.42805 00 48 16.353 +01 45 35.98 23.7r 13SZ99 568 C~2Gdp 2013 10 02.41909 00 48 02.158 +01 43 48.56 23.6r 13SZ99 568 C~2NKK 2013 10 04.51065 00 47 52.163 +01 42 33.63 23.7r 13SZ99 568 C~2NKK 2013 10 09.47694 00 47 28.433 +01 39 37.37 23.8r 13SZ99 568 C~2NKK 2013 11 08.18263 00 45 17.408 +01 24 00.98 24.0r 13SZ99 W84 C~4yR0 2013 11 08.18400 00 45 17.411 +01 24 00.91 23.7i 13SZ99 W84 C~4yR0 2013 11 22.10101 00 44 30.767 +01 18 41.76 23.8r 13SZ99 W84 C~4yR0 2013 11 22.10256 00 44 30.777 +01 18 41.79 23.7i 13SZ99 W84 C~4yR0 2013 11 27.27126 00 44 17.029 +01 17 09.34 23.9r 13SZ99 568 C~2Gdp 2013 11 27.31577 00 44 16.912 +01 17 08.61 24.1r 13SZ99 568 C~2NKK 2013 12 05.23284 00 44 00.196 +01 15 17.82 24.0r 13SZ99 568 C~2NKK 2014 08 24.49378 00 56 49.283 +02 11 08.83 23.7r 13SZ99 568 C~2NKK 2014 08 28.46592 00 56 36.350 +02 09 10.11 23.6r 13SZ99 568 C~2NKK 2014 10 23.31499 00 52 29.562 +01 37 11.86 23.4r 13SZ99 568 C~2NKK 2014 10 27.28165 00 52 11.666 +01 35 06.01 23.6r 13SZ99 568 C~2NKK 2014 10 29.21190 00 52 03.129 +01 34 06.84 23.6i 13SZ99 W84 C~4yR0 2014 11 24.25948 00 50 26.924 +01 23 19.07 23.8r 13SZ99 568 C~2NKK 2014 11 25.28578 00 50 24.024 +01 23 00.73 23.7r 13SZ99 568 C~2NKK 2014 12 17.33123 00 49 43.859 +01 18 55.16 23.6r 13SZ99 568 C~2NKK 2015 01 18.25083 00 50 07.984 +01 22 03.48 23.9r 13SZ99 568 C~2NKK 2015 10 17.16686 00 59 03.656 +01 45 52.18 23.7r 13SZ99 W84 C~4yR0 2016 08 16.39263 01 09 12.696 +02 24 35.48 23.3i 13SZ99 W84 C~4yR0 2016 08 30.35544 01 08 33.000 +02 17 56.63 23.0r 13SZ99 W84 C~4yR0 2016 10 29.19036 01 04 08.140 +01 44 02.89 23.8r 13SZ99 W84 C~4yR0 2018 09 14.34976 01 19 43.997 +02 19 41.83 23.3r 13SZ99 W84 C~4yR0 2018 09 14.35112 01 19 43.978 +02 19 42.34 22.8i 13SZ99 W84 C~4yR0 2019 10 26.143490 01 22 35.934 +02 00 40.18 23.6G 13SZ99 G37 C~3clF 2019 10 26.211770 01 22 35.611 +02 00 37.59 13SZ99 G37 C~3clF
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 0.06 0.00 -0.06
2 0.0001 0.00 0.11 0.00 0.19
3 0.0082 0.00 -0.01 0.00 -0.01
4 0.0083 0.00 0.20 0.00 -0.21
5 0.0714 0.00 -0.33 0.00 -0.05
6 0.0715 0.00 -0.22 0.00 -0.22
7 0.0715 0.00 0.03 0.00 0.34
8 0.0715 0.00 -0.55 0.00 0.18
9 0.0715 0.00 -0.05 0.00 0.14
10 0.0715 0.00 0.20 0.00 0.04
11 0.0738 0.00 0.01 0.00 0.02
12 0.0739 0.00 0.08 0.00 -0.00
13 0.0847 0.00 0.12 0.00 0.07
14 0.0848 0.00 0.10 0.00 -0.03
15 0.1502 0.00 -0.14 0.00 -0.00
16 0.1503 0.00 0.06 0.00 -0.03
17 0.1504 0.00 -0.16 0.00 0.03
18 0.1586 0.00 0.15 0.00 0.04
19 0.1643 0.00 0.07 0.00 -0.02
20 0.1779 0.00 -0.11 0.00 -0.06
21 0.2593 0.00 0.00 0.00 -0.01
22 0.2593 0.00 0.13 0.00 -0.04
23 0.2974 0.00 -0.06 0.00 -0.11
24 0.2974 0.00 0.16 0.00 -0.05
25 0.3115 0.00 0.08 0.00 0.02
26 0.3117 0.00 0.02 0.00 0.02
27 0.3333 0.00 0.03 0.00 0.02
28 1.0514 0.00 0.01 0.00 -0.04
29 1.0622 0.00 0.07 0.00 -0.00
30 1.2151 0.00 -0.08 0.00 0.04
31 1.2260 0.00 -0.01 0.00 -0.01
32 1.2313 0.00 -0.09 0.00 -0.00
33 1.3026 0.00 0.22 0.00 -0.09
34 1.3054 0.00 -0.06 0.00 0.10
35 1.3658 0.00 0.07 0.00 -0.09
36 1.4532 0.00 -0.07 0.00 0.05
37 2.1976 0.00 -0.00 0.00 -0.02
38 3.0305 0.00 0.19 0.00 -0.17
39 3.0688 0.00 0.21 0.00 -0.24
40 3.2326 0.00 -0.25 0.00 0.00
41 5.1085 0.00 -0.01 0.00 -0.07
42 5.1085 0.00 -0.21 0.00 0.48
43 6.2222 0.00 0.02 0.00 0.17
44 6.2224 0.00 0.10 0.00 -0.27
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.
13SZ99 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.515 38.515 38.515 ecceobj 0.014 0.014 0.014 incobj 19.784 19.784 19.784 qmin 37.165 37.195 37.195 qmax 39.613 39.635 39.615 amean 38.333 38.339 38.333 amin 38.054 38.066 38.059 amax 38.612 38.618 38.620 emean 0.014 0.014 0.013 emin 0.001 0.001 0.001 emax 0.027 0.027 0.026 imean 20.421 20.416 20.410 imin 19.386 19.386 19.386 imax 21.799 21.793 21.787 excite_mean 0.349 0.349 0.349 fracstop 1.000 1.000 1.000 cjmean 2.902 2.902 2.902 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 178.2 180.8 182.1 kozaiamp 180.0 180.0 180.0