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: 16SP56 # Created Tue Apr 1 01:10:58 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 56 observations of 57 # Arc: 9.97y # First observation: 2013/10/29 # Last observation: 2023/10/17 # Chi-squared of fit: 18.09 DOF: 106 RMS: 0.10 # Min/Max residuals: -0.21 0.37 # Exact a, adot, b, bdot, g, gdot: 1.481973E-05 2.255163E-02 3.171017E-06 5.944271E-03 2.360997E-02 -5.437459E-03 # Covariance matrix: 2.0457E-13 -7.9190E-14 3.4362E-14 -1.7360E-14 -3.6841E-14 -2.4837E-13 -7.9190E-14 3.7972E-14 -1.8339E-14 9.1744E-15 2.2053E-14 1.3108E-13 3.4362E-14 -1.8339E-14 9.0076E-14 -1.8483E-14 -1.6761E-14 -6.9350E-14 -1.7360E-14 9.1744E-15 -1.8483E-14 5.7785E-15 6.0837E-15 3.4728E-14 -3.6841E-14 2.2053E-14 -1.6761E-14 6.0837E-15 8.0749E-14 8.2448E-14 -2.4837E-13 1.3108E-13 -6.9350E-14 3.4728E-14 8.2448E-14 4.9628E-13 # lat0 lon0 xBary yBary zBary JD0 -13.934450 33.610219 -0.033956 -0.238728 -0.962699 2456594.668698 # Heliocentric elements and errors Epoch: 2456594.5000 = 2013/10/29 Mean Anomaly: 313.17445 +/- 0.005 Argument of Peri: 30.21388 +/- 0.007 Long of Asc Node: 75.34804 +/- 0.000 Inclination: 20.01487 +/- 0.000 Eccentricity: 0.26034921 +/- 0.0000 Semi-Major Axis: 49.86859018 +/- 0.0029 Time of Perihelion: 2473325.4049 +/- 9.8 Perihelion: 36.88534226 +/- 0.0028 Aphelion: 62.85183810 +/- 0.0040 Period (y) 352.1671 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.04245751 +/- 0.0004 Ecliptic Y 23.33548757 +/- 0.0003 Ecliptic Z -10.19948488 +/- 0.0001 Ecliptic XDOT -0.00182517 +/- 0.0000 Ecliptic YDOT 0.00192946 +/- 0.0000 Ecliptic ZDOT 0.00082100 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.31929845 +/- 0.0004 Geocenter to KBO 42.35517247 +/- 0.0005 # Hcoef: 6.32
The following table shows the complete astrometric record for 16SP56. 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 (16SP56) followed by the observatory code and reference code for the source of the astrometry.
2013 10 29.16792 02 24 15.936 -00 24 52.22 23.1g 16SP56 W84 C~4ybt 2013 11 13.14207 02 23 07.605 -00 29 00.72 22.0z 16SP56 W84 C~4ybt 2013 12 21.12090 02 20 47.570 -00 31 05.30 22.5z 16SP56 W84 C~4ybt 2014 08 19.38758 02 32 26.906 +00 47 51.98 22.7r 16SP56 W84 C~4ybt 2014 09 24.29614 02 31 09.632 +00 34 03.86 23.5g 16SP56 W84 C~4ybt 2014 10 01.34252 02 30 44.130 +00 31 05.58 22.6r 16SP56 W84 C~4ybt 2014 10 21.31020 02 29 20.116 +00 23 07.33 22.7r 16SP56 W84 C~4ybt 2014 10 21.31157 02 29 20.107 +00 23 07.13 23.3g 16SP56 W84 C~4ybt 2014 11 03.27510 02 28 20.509 +00 18 46.54 22.3z 16SP56 W84 C~4ybt 2015 01 16.06930 02 24 29.281 +00 19 39.69 22.4z 16SP56 W84 C~4ybt 2016 09 09.40706 02 40 51.813 +02 11 06.71 22.4i 16SP56 W84 C~4ybt 2016 09 10.36578 02 40 49.553 +02 10 45.14 22.6r 16SP56 W84 C~4ybt 2016 09 10.36714 02 40 49.549 +02 10 45.03 23.4g 16SP56 W84 C~4ybt 2016 09 27.45437 02 39 58.40 +02 03 58.4 23.2g 16SP56 568 C~2eAI 2016 09 27.57390 02 39 57.96 +02 03 55.5 23.2g 16SP56 568 C~2eAI 2016 09 27.62330 02 39 57.78 +02 03 54.3 23.1g 16SP56 568 C~2eAI 2016 09 28.46344 02 39 54.79 +02 03 33.8 23.2g 16SP56 568 C~2eAI 2016 09 28.52411 02 39 54.56 +02 03 32.3 23.1g 16SP56 568 C~2eAI 2016 09 28.58334 02 39 54.34 +02 03 30.9 23.2g 16SP56 568 C~2eAI 2016 09 29.47526 02 39 51.11 +02 03 09.2 23.3g 16SP56 568 C~2eAI 2016 09 29.53567 02 39 50.88 +02 03 07.7 23.1g 16SP56 568 C~2eAI 2016 09 29.59545 02 39 50.66 +02 03 06.3 23.2g 16SP56 568 C~2eAI 2016 11 04.18757 02 37 15.749 +01 50 02.05 22.8r 16SP56 W84 C~4ybt 2016 11 04.18896 02 37 15.744 +01 50 02.07 22.3i 16SP56 W84 C~4ybt 2016 11 10.165532 02 36 47.53 +01 48 20.9 21.2z 16SP56 W84 C~352t 2016 11 25.13346 02 35 40.134 +01 45 19.47 23.3g 16SP56 W84 C~4ybt 2017 01 23.23663 02 33 15.94 +01 52 28.5 23.0r 16SP56 T09 C~7bNz 2017 01 23.25369 02 33 15.94 +01 52 29.2 23.3r 16SP56 T09 C~7bNz 2017 01 23.27095 02 33 15.94 +01 52 29.2 23.0r 16SP56 T09 C~7bNz 2017 01 23.28819 02 33 15.94 +01 52 29.7 23.0r 16SP56 T09 C~7bNz 2017 01 26.24476 02 33 16.32 +01 53 39.9 23.4g 16SP56 T09 C~7bNz 2017 01 26.25867 02 33 16.33 +01 53 40.1 23.4g 16SP56 T09 C~7bNz 2017 01 26.27811 02 33 16.34 +01 53 40.6 23.4g 16SP56 T09 C~7bNz 2017 01 26.30863 02 33 16.35 +01 53 41.4 23.5g 16SP56 T09 C~7bNz 2017 09 18.32668 02 45 03.532 +02 54 00.27 22.0i 16SP56 W84 C~4ybt 2017 09 18.32804 02 45 03.532 +02 54 00.34 22.5r 16SP56 W84 C~4ybt 2017 09 18.32942 02 45 03.526 +02 54 00.17 22.9g 16SP56 W84 C~4ybt 2017 10 30.22972 02 42 15.601 +02 38 09.97 21.9z 16SP56 W84 C~4ybt 2017 11 01.17828 02 42 06.427 +02 37 32.73 22.4z 16SP56 W84 C~4ybt 2017 11 23.14743 02 40 24.125 +02 32 06.32 22.3i 16SP56 W84 C~4ybt 2017 11 23.14883 02 40 24.122 +02 32 06.26 23.2g 16SP56 W84 C~4ybt 2017 11 23.15019 02 40 24.110 +02 32 06.20 22.5r 16SP56 W84 C~4ybt 2017 11 29.15057 02 39 58.031 +02 31 13.19 22.7z 16SP56 W84 C~4ybt 2017 12 07.04087 02 39 26.060 +02 30 30.89 22.2i 16SP56 W84 C~4ybt 2017 12 10.10460 02 39 14.483 +02 30 23.11 22.8g 16SP56 W84 C~4ybt 2018 11 16.14680 02 45 35.217 +03 20 29.09 22.3i 16SP56 W84 C~4ybt 2020 10 20.418910 02 57 07.360 +05 03 33.65 22.4G 16SP56 G37 C~4L11 2020 10 20.489380 02 57 07.039 +05 03 32.12 16SP56 G37 C~4L11 2021 01 06.34000 02 51 50.777 +04 53 39.23 22.6w 16SP56 F51 C~4UMZ 2021 01 06.36590 02 51 50.749 +04 53 39.60 22.4w 16SP56 F51 C~4UMZ 2021 01 06.37903 02 51 50.702 +04 53 40.13 22.4w 16SP56 F51 C~4UMZ 2023 10 15.464542 03 12 16.611 +07 30 58.36 22.4w 16SP56 F51 C~7BOo 2023 10 15.477253 03 12 16.557 +07 30 58.25 22.4w 16SP56 F51 C~7BOo 2023 10 15.490013 03 12 16.501 +07 30 57.81 22.4w 16SP56 F51 C~7BOo 2023 10 17.431096 03 12 08.207 +07 30 19.30 22.6w 16SP56 F51 C~7BOo 2023 10 17.456844 03 12 08.076 +07 30 18.77 22.4w 16SP56 F51 C~7BOo 2023 10 17.469836 03 12 08.024 +07 30 18.77 22.2w 16SP56 F51 C~7BOo
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 -0.00 0.00 0.18
2 0.0410 0.00 0.03 0.00 0.14
3 0.1450 0.00 0.02 0.00 0.04
4 0.8055 0.00 0.08 0.00 -0.07
5 0.9038 0.00 0.05 0.00 -0.10
6 0.9231 0.00 0.03 0.00 0.05
7 0.9778 0.00 0.12 0.00 -0.03
8 0.9778 0.00 0.08 0.00 -0.20
9 1.0133 0.00 -0.11 0.00 -0.14
10 1.2153 0.00 -0.08 0.00 0.13
11 2.8644 0.00 0.15 0.00 -0.15
12 2.8671 0.00 0.09 0.00 0.06
13 2.8671 0.00 0.08 0.00 -0.02
14 2.9139 0.00 -0.07 0.00 0.03
15 2.9142 0.00 -0.16 0.00 0.04
16 2.9143 0.00 -0.17 0.00 0.04
17 2.9166 0.00 -0.06 0.00 -0.00
18 2.9168 0.00 -0.15 0.00 -0.03
19 2.9169 0.00 -0.17 0.00 0.02
20 2.9194 0.00 -0.06 0.00 0.03
21 2.9196 0.00 -0.12 0.00 -0.00
22 2.9197 0.00 -0.05 0.00 0.05
23 3.0172 0.00 0.05 0.00 -0.06
24 3.0172 0.00 0.08 0.00 -0.01
25 3.0335 0.00 ( -2.96) 0.00 ( -1.85)
26 3.0745 0.00 0.04 0.00 -0.01
27 3.2363 0.00 0.01 0.00 0.06
28 3.2364 0.00 0.03 0.00 0.37
29 3.2364 0.00 0.06 0.00 -0.03
30 3.2365 0.00 0.07 0.00 0.07
31 3.2446 0.00 -0.21 0.00 -0.00
32 3.2446 0.00 -0.10 0.00 -0.14
33 3.2447 0.00 -0.01 0.00 -0.12
34 3.2447 0.00 0.04 0.00 -0.06
35 3.8882 0.00 0.08 0.00 0.01
36 3.8882 0.00 0.14 0.00 0.11
37 3.8882 0.00 0.11 0.00 -0.03
38 4.0029 0.00 0.09 0.00 -0.08
39 4.0082 0.00 0.09 0.00 -0.06
40 4.0684 0.00 0.01 0.00 0.03
41 4.0684 0.00 0.06 0.00 -0.02
42 4.0684 0.00 -0.03 0.00 -0.06
43 4.0848 0.00 0.04 0.00 -0.03
44 4.1064 0.00 0.02 0.00 0.03
45 4.1148 0.00 -0.05 0.00 -0.05
46 5.0485 0.00 -0.01 0.00 0.02
47 6.9767 0.00 0.05 0.00 0.11
48 6.9769 0.00 0.08 0.00 0.06
49 7.1901 0.00 -0.11 0.00 -0.20
50 7.1901 0.00 0.27 0.00 -0.10
51 7.1902 0.00 -0.03 0.00 0.29
52 9.9611 0.00 -0.05 0.00 0.00
53 9.9611 0.00 -0.03 0.00 0.15
54 9.9612 0.00 -0.05 0.00 -0.04
55 9.9665 0.00 0.13 0.00 -0.13
56 9.9666 0.00 -0.13 0.00 -0.15
57 9.9666 0.00 -0.05 0.00 0.11
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.
16SP56 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 50.121 50.121 50.122 ecceobj 0.259 0.259 0.259 incobj 20.014 20.014 20.014 qmin 35.800 35.774 35.690 qmax 64.129 64.598 64.557 amean 49.717 49.745 49.760 amin 49.245 49.257 49.268 amax 50.327 50.389 50.369 emean 0.261 0.262 0.263 emin 0.245 0.245 0.246 emax 0.277 0.282 0.282 imean 18.505 18.487 18.436 imin 17.856 17.795 17.768 imax 19.099 19.066 19.005 excite_mean 0.411 0.411 0.412 fracstop 1.000 1.000 1.000 cjmean 2.959 2.959 2.959 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 178.1 177.8 186.4 kozaiamp 180.0 180.0 180.0