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: 16SJ57 # Created Fri Nov 22 02:10:46 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 64 observations of 64 # Arc: 5.10y # First observation: 2013/10/27 # Last observation: 2018/12/01 # Chi-squared of fit: 16.93 DOF: 122 RMS: 0.09 # Min/Max residuals: -0.23 0.34 # Exact a, adot, b, bdot, g, gdot: 1.809843E-05 3.328126E-02 -1.929906E-06 -3.685458E-03 3.018394E-02 -9.146716E-04 # Covariance matrix: 2.2773E-13 -1.8168E-13 -1.2882E-14 1.5960E-14 -3.9491E-14 -9.5478E-13 -1.8168E-13 1.9424E-13 1.4608E-14 -1.9262E-14 5.7698E-14 1.1640E-12 -1.2882E-14 1.4608E-14 1.0772E-13 -3.5588E-14 -2.9510E-15 9.5002E-14 1.5960E-14 -1.9262E-14 -3.5588E-14 1.5964E-14 -4.7077E-15 -1.2445E-13 -3.9491E-14 5.7698E-14 -2.9510E-15 -4.7077E-15 8.3866E-14 3.6616E-13 -9.5478E-13 1.1640E-12 9.5002E-14 -1.2445E-13 3.6616E-13 7.5131E-12 # lat0 lon0 xBary yBary zBary JD0 -14.405610 30.458569 -0.053579 -0.246573 -0.960441 2456592.647558 # Heliocentric elements and errors Epoch: 2456592.5000 = 2013/10/27 Mean Anomaly: 338.08270 +/- 0.059 Argument of Peri: 271.43404 +/- 0.069 Long of Asc Node: 145.11759 +/- 0.001 Inclination: 15.32007 +/- 0.000 Eccentricity: 0.07095453 +/- 0.0000 Semi-Major Axis: 36.46423935 +/- 0.0014 Time of Perihelion: 2461488.9772 +/- 13.8 Perihelion: 33.87693623 +/- 0.0018 Aphelion: 39.05154247 +/- 0.0020 Period (y) 220.1958 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.48688012 +/- 0.0003 Ecliptic Y 16.81792115 +/- 0.0002 Ecliptic Z -8.24238820 +/- 0.0001 Ecliptic XDOT -0.00167740 +/- 0.0000 Ecliptic YDOT 0.00251771 +/- 0.0000 Ecliptic ZDOT -0.00030300 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 34.09227033 +/- 0.0002 Geocenter to KBO 33.13025244 +/- 0.0003 # Hcoef: 7.33
The following table shows the complete astrometric record for 16SJ57. 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 (16SJ57) followed by the observatory code and reference code for the source of the astrometry.
2013 10 27.14678 02 13 23.51 -01 53 18.9 23.3g 16SJ57 W84 C~3cyl 2013 11 13.17529 02 11 50.212 -02 00 41.67 22.0z 16SJ57 W84 C~4ybt 2013 11 13.17529 02 11 50.21 -02 00 41.7 22.1z 16SJ57 W84 C~3cyl 2014 08 19.38480 02 25 12.750 -00 44 16.66 22.7r 16SJ57 W84 C~4ybt 2014 08 19.38480 02 25 12.75 -00 44 16.7 22.8r 16SJ57 W84 C~3cyl 2014 08 19.38618 02 25 12.745 -00 44 16.75 22.3i 16SJ57 W84 C~4ybt 2014 08 19.38618 02 25 12.75 -00 44 16.8 22.4i 16SJ57 W84 C~3cyl 2014 10 01.36230 02 23 07.439 -01 10 38.19 22.8r 16SJ57 W84 C~4ybt 2014 10 01.36230 02 23 07.44 -01 10 38.2 22.9r 16SJ57 W84 C~3cyl 2014 10 01.36365 02 23 07.432 -01 10 38.14 22.4i 16SJ57 W84 C~4ybt 2014 10 01.36365 02 23 07.43 -01 10 38.1 22.6i 16SJ57 W84 C~3cyl 2014 12 16.13766 02 16 48.955 -01 38 45.91 23.4g 16SJ57 W84 C~4ybt 2014 12 16.13766 02 16 48.96 -01 38 45.9 23.5g 16SJ57 W84 C~3cyl 2014 12 16.15445 02 16 48.902 -01 38 45.84 22.7r 16SJ57 W84 C~4ybt 2014 12 16.15445 02 16 48.90 -01 38 45.8 22.8r 16SJ57 W84 C~3cyl 2014 12 16.15583 02 16 48.896 -01 38 45.88 22.2i 16SJ57 W84 C~4ybt 2014 12 16.15583 02 16 48.90 -01 38 45.9 22.4i 16SJ57 W84 C~3cyl 2014 12 24.13487 02 16 25.069 -01 38 01.37 23.1g 16SJ57 W84 C~4ybt 2014 12 24.13487 02 16 25.07 -01 38 01.4 23.2g 16SJ57 W84 C~3cyl 2015 01 20.05897 02 15 54.065 -01 29 44.14 22.6r 16SJ57 W84 C~4ybt 2015 01 20.05897 02 15 54.07 -01 29 44.2 22.8r 16SJ57 W84 C~3cyl 2015 01 21.04868 02 15 54.493 -01 29 16.75 23.2g 16SJ57 W84 C~4ybt 2015 01 21.04868 02 15 54.49 -01 29 16.8 23.4g 16SJ57 W84 C~3cyl 2015 01 21.05005 02 15 54.503 -01 29 16.45 22.6z 16SJ57 W84 C~4ybt 2015 12 14.16018 02 24 20.04 -01 11 43.4 22.6g 16SJ57 W84 C~3cyl 2016 09 23.28457 02 38 32.983 -00 10 59.66 22.0i 16SJ57 W84 C~4ybt 2016 09 23.28457 02 38 32.98 -00 10 59.6 22.4i 16SJ57 W84 C~3cyl 2016 09 24.27213 02 38 29.092 -00 11 37.28 22.5r 16SJ57 W84 C~4ybt 2016 09 24.27213 02 38 29.09 -00 11 37.3 22.7r 16SJ57 W84 C~3cyl 2016 09 27.44112 02 38 16.10 -00 13 37.8 23.0g 16SJ57 568 C~3sxZ 2016 09 27.47837 02 38 15.94 -00 13 39.2 23.2g 16SJ57 568 C~2eAI 2016 09 27.47838 02 38 15.94 -00 13 39.2 23.2g 16SJ57 568 C~3sxZ 2016 09 27.53877 02 38 15.68 -00 13 41.5 23.1g 16SJ57 568 C~2eAI 2016 09 27.56068 02 38 15.59 -00 13 42.4 23.2g 16SJ57 568 C~3sxZ 2016 09 27.59860 02 38 15.42 -00 13 43.8 23.1g 16SJ57 568 C~2eAI 2016 09 27.59861 02 38 15.42 -00 13 43.8 23.1g 16SJ57 568 C~3sxZ 2016 09 28.45013 02 38 11.81 -00 14 16.1 23.2g 16SJ57 568 C~3sxZ 2016 09 28.48764 02 38 11.64 -00 14 17.5 23.2g 16SJ57 568 C~2eAI 2016 10 27.21819 02 35 45.996 -00 31 09.39 22.2r 16SJ57 W84 C~4ybt 2016 10 27.21819 02 35 46.00 -00 31 09.4 22.3r 16SJ57 W84 C~3cyl 2016 10 27.21957 02 35 45.983 -00 31 09.59 22.6g 16SJ57 W84 C~4ybt 2016 10 27.21957 02 35 45.98 -00 31 09.5 22.9g 16SJ57 W84 C~3cyl 2016 11 04.16838 02 35 01.330 -00 34 59.56 22.6i 16SJ57 W84 C~4ybt 2016 11 04.16838 02 35 01.33 -00 34 59.6 22.6i 16SJ57 W84 C~3cyl 2016 11 10.15486 02 34 27.745 -00 37 31.17 22.5z 16SJ57 W84 C~4ybt 2016 11 10.15486 02 34 27.74 -00 37 31.2 22.8z 16SJ57 W84 C~3cyl 2016 11 29.12930 02 32 47.191 -00 43 06.07 22.4r 16SJ57 W84 C~4ybt 2016 11 29.12930 02 32 47.19 -00 43 06.0 22.4r 16SJ57 W84 C~3cyl 2016 11 29.13068 02 32 47.205 -00 43 06.10 22.7g 16SJ57 W84 C~4ybt 2016 11 29.13068 02 32 47.21 -00 43 06.1 23.1g 16SJ57 W84 C~3cyl 2016 12 23.24860 02 31 09.77 -00 43 59.6 22.6z 16SJ57 T09 C~7xTN 2016 12 23.28970 02 31 09.65 -00 43 59.3 22.9z 16SJ57 T09 C~7xTN 2016 12 23.30885 02 31 09.58 -00 43 59.3 22.5z 16SJ57 T09 C~7xTN 2016 12 23.32513 02 31 09.52 -00 43 59.3 22.6z 16SJ57 T09 C~7xTN 2017 09 18.39879 02 46 17.266 +00 19 36.89 22.1i 16SJ57 W84 C~4ybt 2017 10 29.29102 02 43 04.349 -00 04 31.37 22.6r 16SJ57 W84 C~4ybt 2017 10 29.29240 02 43 04.340 -00 04 31.47 22.2i 16SJ57 W84 C~4ybt 2017 10 29.29380 02 43 04.333 -00 04 31.47 23.1g 16SJ57 W84 C~4ybt 2017 11 27.20401 02 40 24.834 -00 15 13.52 22.2z 16SJ57 W84 C~4ybt 2017 11 27.20538 02 40 24.835 -00 15 13.41 22.8i 16SJ57 W84 C~4ybt 2017 12 08.04622 02 39 32.581 -00 16 54.45 23.0r 16SJ57 W84 C~4ybt 2018 11 16.15370 02 48 53.926 +00 15 32.85 22.7i 16SJ57 W84 C~4ybt 2018 12 01.16696 02 47 33.423 +00 11 31.85 22.7r 16SJ57 W84 C~4ybt 2018 12 01.16833 02 47 33.417 +00 11 31.80 23.2g 16SJ57 W84 C~4ybt
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 -0.13 0.00 -0.05
2 0.0466 0.00 -0.05 0.00 0.00
3 0.0466 0.00 -0.02 0.00 0.03
4 0.8111 0.00 0.07 0.00 0.02
5 0.8111 0.00 0.07 0.00 0.06
6 0.8111 0.00 0.01 0.00 0.01
7 0.8111 0.00 0.09 0.00 -0.04
8 0.9287 0.00 0.10 0.00 -0.04
9 0.9287 0.00 0.08 0.00 -0.03
10 0.9287 0.00 0.04 0.00 0.11
11 0.9287 0.00 0.07 0.00 0.07
12 1.1362 0.00 -0.09 0.00 -0.00
13 1.1362 0.00 -0.01 0.00 0.01
14 1.1362 0.00 -0.02 0.00 0.03
15 1.1362 0.00 -0.05 0.00 0.07
16 1.1362 0.00 -0.03 0.00 -0.02
17 1.1362 0.00 0.03 0.00 -0.04
18 1.1581 0.00 -0.06 0.00 -0.02
19 1.1581 0.00 -0.07 0.00 0.01
20 1.2318 0.00 -0.00 0.00 0.00
21 1.2318 0.00 -0.08 0.00 0.06
22 1.2345 0.00 0.03 0.00 -0.23
23 1.2345 0.00 0.07 0.00 -0.18
24 1.2345 0.00 0.21 0.00 0.08
25 2.1301 0.00 0.20 0.00 -0.21
26 2.9080 0.00 0.05 0.00 0.11
27 2.9080 0.00 0.10 0.00 0.05
28 2.9107 0.00 0.02 0.00 -0.05
29 2.9107 0.00 0.05 0.00 -0.03
30 2.9194 0.00 -0.13 0.00 0.09
31 2.9195 0.00 -0.11 0.00 0.10
32 2.9195 0.00 -0.11 0.00 0.11
33 2.9196 0.00 -0.10 0.00 0.10
34 2.9197 0.00 -0.02 0.00 0.03
35 2.9198 0.00 -0.11 0.00 0.07
36 2.9198 0.00 -0.11 0.00 0.07
37 2.9221 0.00 -0.07 0.00 0.07
38 2.9222 0.00 -0.15 0.00 0.09
39 3.0009 0.00 0.07 0.00 0.05
40 3.0009 0.00 0.01 0.00 0.06
41 3.0009 0.00 -0.11 0.00 -0.00
42 3.0009 0.00 -0.06 0.00 -0.09
43 3.0226 0.00 0.02 0.00 -0.15
44 3.0226 0.00 0.02 0.00 -0.11
45 3.0390 0.00 0.02 0.00 -0.08
46 3.0390 0.00 0.10 0.00 -0.05
47 3.0910 0.00 -0.07 0.00 0.04
48 3.0910 0.00 -0.05 0.00 -0.03
49 3.0910 0.00 0.34 0.00 -0.04
50 3.0910 0.00 0.26 0.00 -0.04
51 3.1570 0.00 -0.06 0.00 0.19
52 3.1571 0.00 0.07 0.00 0.21
53 3.1572 0.00 -0.08 0.00 0.07
54 3.1572 0.00 -0.22 0.00 -0.04
55 3.8939 0.00 0.02 0.00 -0.11
56 4.0059 0.00 0.04 0.00 0.01
57 4.0059 0.00 0.02 0.00 -0.05
58 4.0059 0.00 0.04 0.00 -0.00
59 4.0850 0.00 -0.05 0.00 -0.12
60 4.0850 0.00 0.07 0.00 0.00
61 4.1147 0.00 0.02 0.00 -0.04
62 5.0541 0.00 0.06 0.00 -0.02
63 5.0952 0.00 0.05 0.00 0.02
64 5.0952 0.00 0.07 0.00 -0.01
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.
16SJ57 quality flag:3 Type: 4:3E 4:3E 4:3E axisobj 36.640 36.639 36.640 ecceobj 0.074 0.074 0.074 incobj 15.298 15.298 15.298 qmin 32.968 32.971 32.966 qmax 40.282 40.283 40.336 amean 36.482 36.482 36.482 amin 36.131 36.126 36.128 amax 36.851 36.851 36.852 emean 0.072 0.072 0.072 emin 0.048 0.048 0.048 emax 0.095 0.095 0.096 imean 9.288 9.293 9.283 imin 5.814 5.815 5.804 imax 14.155 14.155 14.155 excite_mean 0.178 0.178 0.178 fracstop 1.000 1.000 1.000 cjmean 2.991 2.991 2.991 libcent 0 180.4 180.2 180.6 libamp 0 86.0 86.1 85.9 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 179.9 180.0 180.0 kozaiamp 180.0 180.0 180.0