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: 16SA56 # Created Fri Apr 19 01:18:14 2024 # Orbit generated from Bernstein formalism # Fitting 61 observations of 61 # Arc: 4.90y # First observation: 2013/10/27 # Last observation: 2018/09/22 Preliminary a, adot, b, bdot, g, gdot: -0.000857 0.030617 0.000052 -0.004225 0.027461 0.000000 # Chi-squared of fit: 19.10 DOF: 116 RMS: 0.10 # Min/Max residuals: -0.49 0.29 # Exact a, adot, b, bdot, g, gdot: 1.782748E-05 2.990711E-02 -2.534128E-06 -4.135953E-03 2.695561E-02 -4.392692E-03 # Covariance matrix: 3.9994E-13 -3.0600E-13 -3.2049E-14 3.3933E-14 -7.3776E-14 -1.7143E-12 -3.0600E-13 2.8420E-13 3.0446E-14 -3.4527E-14 9.6951E-14 1.7708E-12 -3.2049E-14 3.0446E-14 1.4835E-13 -5.2146E-14 1.3609E-15 1.9883E-13 3.3933E-14 -3.4527E-14 -5.2146E-14 2.3745E-14 -1.1339E-14 -2.3013E-13 -7.3776E-14 9.6951E-14 1.3609E-15 -1.1339E-14 1.1922E-13 6.8764E-13 -1.7143E-12 1.7708E-12 1.9883E-13 -2.3013E-13 6.8764E-13 1.1853E-11 # lat0 lon0 xBary yBary zBary JD0 -15.142669 26.635539 -0.119599 -0.257397 -0.951608 2456592.649028 # Heliocentric elements and errors Epoch: 2456590.5000 = 2013/10/25 Mean Anomaly: 337.47762 +/- 0.012 Argument of Peri: 282.52737 +/- 0.025 Long of Asc Node: 145.06515 +/- 0.001 Inclination: 16.64388 +/- 0.000 Eccentricity: 0.27476805 +/- 0.0001 Semi-Major Axis: 49.85272038 +/- 0.0038 Time of Perihelion: 2464633.9706 +/- 4.3 Perihelion: 36.15478572 +/- 0.0051 Aphelion: 63.55065504 +/- 0.0065 Period (y) 351.9991 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.83631345 +/- 0.0004 Ecliptic Y 16.60592042 +/- 0.0002 Ecliptic Z -9.69100439 +/- 0.0001 Ecliptic XDOT -0.00185104 +/- 0.0000 Ecliptic YDOT 0.00247141 +/- 0.0000 Ecliptic ZDOT -0.00028881 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.05122390 +/- 0.0004 Geocenter to KBO 37.09802951 +/- 0.0005 # Hcoef: 7.13
The following table shows the complete astrometric record for 16SA56. 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 (16SA56) followed by the observatory code and reference code for the source of the astrometry.
2013 10 27.14825 02 00 33.255 -03 52 19.83 23.5g 16SA56 W84 C~4ybs 2014 08 19.38201 02 11 26.30 -02 49 38.7 23.0r 16SA56 W84 C~3cyl 2014 08 19.38201 02 11 26.304 -02 49 38.68 23.1r 16SA56 W84 C~4ybs 2014 10 29.26414 02 07 11.070 -03 29 40.33 22.1r 16SA56 W84 C~4ybs 2014 10 29.26414 02 07 11.07 -03 29 40.3 22.4r 16SA56 W84 C~3cyl 2014 12 16.14751 02 03 51.853 -03 38 58.59 22.3i 16SA56 W84 C~4ybs 2014 12 16.14751 02 03 51.85 -03 38 58.6 22.4i 16SA56 W84 C~3cyl 2014 12 16.15166 02 03 51.83 -03 38 58.6 23.0g 16SA56 W84 C~3cyl 2014 12 16.15166 02 03 51.806 -03 38 58.60 22.5g 16SA56 W84 C~4ybs 2014 12 24.13208 02 03 32.96 -03 37 56.6 22.9r 16SA56 W84 C~3cyl 2014 12 24.13208 02 03 32.959 -03 37 56.64 23.0r 16SA56 W84 C~4ybs 2015 01 17.06418 02 03 12.887 -03 30 29.96 23.0z 16SA56 W84 C~4ybs 2015 01 17.06699 02 03 12.91 -03 30 29.9 23.1i 16SA56 W84 C~3cyl 2015 01 17.06699 02 03 12.914 -03 30 29.89 23.1i 16SA56 W84 C~4ybs 2015 01 19.05770 02 03 13.851 -03 29 36.84 22.9i 16SA56 W84 C~4ybs 2015 01 19.05770 02 03 13.85 -03 29 36.8 23.0i 16SA56 W84 C~3cyl 2015 10 10.523797 02 15 33.358 -02 56 11.16 22.8r 16SA56 568 C~2TuX 2015 10 10.526637 02 15 33.343 -02 56 11.28 22.8r 16SA56 568 C~2TuX 2015 10 10.581358 02 15 33.085 -02 56 13.10 22.8r 16SA56 568 C~2TuX 2015 10 10.605157 02 15 32.974 -02 56 13.90 22.8r 16SA56 568 C~2TuX 2015 10 14.525580 02 15 14.511 -02 58 24.02 23.4g 16SA56 568 C~2TuX 2015 10 14.528428 02 15 14.495 -02 58 24.17 23.4g 16SA56 568 C~2TuX 2015 10 14.583178 02 15 14.229 -02 58 25.94 23.3g 16SA56 568 C~2TuX 2015 10 14.606931 02 15 14.114 -02 58 26.70 23.4g 16SA56 568 C~2TuX 2015 12 04.17950 02 11 17.39 -03 15 31.3 23.6g 16SA56 W84 C~3cyl 2015 12 04.17950 02 11 17.388 -03 15 31.35 23.5g 16SA56 W84 C~4ybs 2015 12 05.17199 02 11 13.66 -03 15 35.3 23.1r 16SA56 W84 C~3cyl 2015 12 05.17199 02 11 13.662 -03 15 35.32 23.0r 16SA56 W84 C~4ybs 2015 12 05.17336 02 11 13.66 -03 15 35.3 22.3i 16SA56 W84 C~3cyl 2015 12 05.17336 02 11 13.658 -03 15 35.32 22.3i 16SA56 W84 C~4ybs 2016 09 10.40460 02 24 17.16 -02 14 30.0 22.7i 16SA56 W84 C~3cyl 2016 09 10.40460 02 24 17.164 -02 14 30.30 21.9i 16SA56 W84 C~4ybs 2016 09 11.31942 02 24 14.597 -02 15 02.65 23.0r 16SA56 W84 C~4ybs 2016 09 27.43827 02 23 19.05 -02 24 46.2 23.4g 16SA56 568 C~2eAH 2016 09 27.51053 02 23 18.76 -02 24 48.9 23.6g 16SA56 568 C~2eAH 2016 09 28.44728 02 23 14.99 -02 25 22.5 23.6g 16SA56 568 C~2eAH 2016 09 28.56697 02 23 14.50 -02 25 26.8 23.6g 16SA56 568 C~2eAH 2016 09 29.45894 02 23 10.87 -02 25 58.8 23.5g 16SA56 568 C~2eAH 2016 09 29.51938 02 23 10.61 -02 26 00.9 23.6g 16SA56 568 C~2eAH 2016 10 27.21542 02 21 01.11 -02 40 59.5 22.9r 16SA56 W84 C~3cyl 2016 10 27.21542 02 21 01.108 -02 40 59.48 22.9r 16SA56 W84 C~4ybs 2016 11 03.16588 02 20 26.21 -02 44 00.1 23.7g 16SA56 W84 C~3cyl 2016 11 03.16588 02 20 26.215 -02 44 00.13 23.4g 16SA56 W84 C~4ybs 2016 11 29.12447 02 18 24.23 -02 51 08.9 22.9r 16SA56 W84 C~3cyl 2016 11 29.12447 02 18 24.233 -02 51 08.98 22.8r 16SA56 W84 C~4ybs 2016 11 29.12585 02 18 24.24 -02 51 08.9 24.1g 16SA56 W84 C~3cyl 2016 11 29.12585 02 18 24.230 -02 51 08.98 23.6g 16SA56 W84 C~4ybs 2016 12 22.04693 02 17 06.47 -02 51 06.5 22.6i 16SA56 W84 C~3cyl 2016 12 22.04693 02 17 06.464 -02 51 06.51 22.4i 16SA56 W84 C~4ybs 2017 09 18.39605 02 30 46.717 -01 54 40.93 22.7i 16SA56 W84 C~4ybs 2017 10 03.25395 02 29 50.637 -02 03 33.71 22.7z 16SA56 W84 C~4ybs 2017 10 29.27587 02 27 47.244 -02 17 20.11 22.4i 16SA56 W84 C~4ybs 2017 10 29.27726 02 27 47.237 -02 17 20.11 22.9r 16SA56 W84 C~4ybs 2017 10 29.27862 02 27 47.236 -02 17 20.27 23.2g 16SA56 W84 C~4ybs 2017 11 01.18528 02 27 32.557 -02 18 36.65 22.4z 16SA56 W84 C~4ybs 2017 11 23.16588 02 25 44.776 -02 25 45.66 22.2i 16SA56 W84 C~4ybs 2017 11 23.16726 02 25 44.778 -02 25 45.77 23.1r 16SA56 W84 C~4ybs 2017 11 23.16863 02 25 44.769 -02 25 45.89 23.6g 16SA56 W84 C~4ybs 2017 12 15.11851 02 24 17.264 -02 27 39.44 22.5z 16SA56 W84 C~4ybs 2017 12 25.08287 02 23 48.971 -02 26 37.38 22.1Y 16SA56 W84 C~4ybs 2018 09 22.33720 02 37 30.564 -01 32 07.09 22.2z 16SA56 W84 C~4ybs
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 0.02
2 0.8110 10486.18 0.20 13.96 -0.03
3 0.8110 10486.24 0.26 13.95 -0.03
4 1.0051 6049.37 0.06 -857.89 -0.08
5 1.0051 6049.36 0.04 -857.92 -0.11
6 1.1362 3062.96 -0.03 -312.20 -0.01
7 1.1362 3063.00 0.02 -312.21 -0.02
8 1.1362 3062.68 -0.15 -312.09 0.02
9 1.1362 3062.34 -0.49 -311.96 0.14
10 1.1581 2820.91 0.04 -153.29 -0.02
11 1.1581 2820.93 0.07 -153.26 0.01
12 1.2236 2699.73 -0.08 371.30 0.17
13 1.2236 2700.13 0.29 371.22 0.03
14 1.2236 2700.07 0.23 371.23 0.04
15 1.2290 2732.18 0.01 415.81 -0.04
16 1.2290 2732.18 0.01 415.76 -0.08
17 1.9531 13810.66 -0.05 -1686.20 0.00
18 1.9531 13810.41 -0.08 -1686.23 -0.01
19 1.9533 13806.13 -0.06 -1686.54 0.01
20 1.9533 13804.28 -0.05 -1686.69 0.00
21 1.9641 13498.07 -0.03 -1708.49 0.04
22 1.9641 13497.79 -0.09 -1708.54 0.00
23 1.9642 13493.41 -0.09 -1708.76 0.02
24 1.9643 13491.53 -0.08 -1708.85 0.03
25 2.1028 9802.59 -0.05 -1388.90 -0.15
26 2.1028 9802.64 -0.00 -1388.87 -0.11
27 2.1055 9748.96 -0.05 -1372.54 0.03
28 2.1055 9748.94 -0.07 -1372.51 0.06
29 2.1055 9748.91 -0.03 -1372.52 0.02
30 2.1055 9748.94 0.00 -1372.51 0.03
31 2.8727 22097.30 0.07 -2190.85 -0.08
32 2.8727 22097.25 0.02 -2191.16 -0.38
33 2.8752 22049.14 0.18 -2207.48 0.03
34 2.9193 21051.28 -0.07 -2451.38 0.13
35 2.9195 21046.20 -0.03 -2452.33 0.01
36 2.9221 20980.70 -0.14 -2463.25 0.11
37 2.9224 20972.21 -0.05 -2464.61 0.07
38 2.9249 20909.28 -0.06 -2474.80 0.01
39 2.9250 20904.85 -0.12 -2475.35 0.10
40 3.0009 18750.86 0.02 -2611.47 0.01
41 3.0009 18750.89 0.04 -2611.50 -0.01
42 3.0199 18193.61 0.06 -2590.75 -0.11
43 3.0199 18193.55 0.00 -2590.70 -0.06
44 3.0910 16321.14 -0.00 -2329.37 0.06
45 3.0910 16321.13 -0.02 -2329.28 0.15
46 3.0910 16321.10 0.04 -2329.35 0.05
47 3.0910 16321.27 0.21 -2329.33 0.07
48 3.1537 15228.70 0.02 -1905.36 0.01
49 3.1537 15228.79 0.11 -1905.38 -0.01
50 3.8939 28059.65 -0.01 -3209.17 0.02
51 3.9346 27065.63 -0.11 -3401.58 -0.02
52 4.0058 25009.87 -0.02 -3500.08 -0.01
53 4.0058 25009.77 -0.00 -3500.04 0.03
54 4.0058 25009.70 0.04 -3500.19 -0.12
55 4.0138 24773.53 -0.04 -3491.36 0.04
56 4.0740 23089.72 -0.01 -3303.34 0.07
57 4.0740 23089.71 0.07 -3303.45 -0.06
58 4.0740 23089.53 0.00 -3303.52 -0.14
59 4.1341 21810.52 -0.00 -2931.52 -0.11
60 4.1614 21433.37 0.10 -2718.84 0.05
61 4.9040 34335.98 0.01 -4165.36 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.
16SA56 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 50.164 50.174 50.154 ecceobj 0.277 0.277 0.277 incobj 16.618 16.618 16.618 qmin 35.500 35.509 35.498 qmax 64.480 64.476 64.444 amean 49.671 49.680 49.666 amin 49.211 49.188 49.166 amax 50.248 50.266 50.218 emean 0.267 0.268 0.267 emin 0.253 0.252 0.253 emax 0.284 0.284 0.283 imean 15.878 15.874 15.876 imin 15.338 15.355 15.324 imax 16.517 16.510 16.503 excite_mean 0.383 0.383 0.383 fracstop 1.000 1.000 1.000 cjmean 2.987 2.987 2.987 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 180.6 180.5 180.6 kozaiamp 180.0 180.0 180.0