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: 16LS # Created Fri Nov 22 02:10:41 2024 # Orbit generated from Bernstein formalism # Fitting 61 observations of 64 # Arc: 1.14y # First observation: 2015/05/15 # Last observation: 2016/07/05 Preliminary a, adot, b, bdot, g, gdot: 0.003794 -0.428304 0.001411 -0.699445 0.238013 0.000000 # Chi-squared of fit: 102.02 DOF: 116 RMS: 0.23 # Min/Max residuals: -0.92 0.52 # Exact a, adot, b, bdot, g, gdot: -3.027872E-05 -3.675074E-01 -4.394632E-05 -5.644100E-01 1.943423E-01 -2.958415E-02 # Covariance matrix: 1.2359E-13 -3.7361E-13 -5.6942E-15 -4.3228E-13 2.0236E-13 6.3996E-13 -3.7361E-13 2.5569E-12 -1.5452E-13 3.5895E-12 -6.8133E-13 -4.9638E-12 -5.6942E-15 -1.5452E-13 9.0150E-14 -3.0611E-13 -6.7767E-14 3.0707E-13 -4.3228E-13 3.5895E-12 -3.0611E-13 5.3000E-12 -8.6075E-13 -7.1786E-12 2.0236E-13 -6.8133E-13 -6.7767E-14 -8.6075E-13 6.8228E-13 1.3722E-12 6.3996E-13 -4.9638E-12 3.0707E-13 -7.1786E-12 1.3722E-12 9.9304E-12 # lat0 lon0 xBary yBary zBary JD0 27.022784 -37.083382 1.008708 0.011662 -0.022668 2457158.071898 # Heliocentric elements and errors Epoch: 2457150.5000 = 2015/05/08 Mean Anomaly: 1.71932 +/- 0.000 Argument of Peri: 141.17855 +/- 0.001 Long of Asc Node: 117.55988 +/- 0.000 Inclination: 114.37950 +/- 0.000 Eccentricity: 0.60802616 +/- 0.0000 Semi-Major Axis: 13.35743308 +/- 0.0007 Time of Perihelion: 2457065.3398 +/- 0.0 Perihelion: 5.23576434 +/- 0.0004 Aphelion: 21.47910182 +/- 0.0011 Period (y) 48.8194 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 3.06555554 +/- 0.0000 Ecliptic Y -3.58409725 +/- 0.0000 Ecliptic Z 2.33771568 +/- 0.0000 Ecliptic XDOT -0.00053887 +/- 0.0000 Ecliptic YDOT -0.00609086 +/- 0.0000 Ecliptic ZDOT -0.00727249 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 5.26386725 +/- 0.0000 Geocenter to KBO 5.14555985 +/- 0.0000 # Hcoef: 13.26
The following table shows the complete astrometric record for 16LS. 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 (16LS) followed by the observatory code and reference code for the source of the astrometry.
2015 05 15.57112 21 06 08.601 +11 43 24.47 20.8G 16LS F51 C~2r7d 2015 05 15.57188 21 06 08.559 +11 43 24.46 20.6G 16LS F51 C~2r7d 2015 05 15.58038 21 06 08.453 +11 43 23.89 20.9G 16LS F51 C~2r7d 2015 05 15.58116 21 06 08.461 +11 43 23.77 20.3G 16LS F51 C~2r7d 2015 05 15.58963 21 06 08.333 +11 43 23.21 20.4G 16LS F51 C~2r7d 2015 05 15.59040 21 06 08.310 +11 43 23.29 20.6G 16LS F51 C~2r7d 2015 05 15.59884 21 06 08.184 +11 43 22.53 20.9G 16LS F51 C~2r7d 2015 05 15.59963 21 06 08.185 +11 43 22.57 20.6G 16LS F51 C~2r7d 2015 06 04.53851 20 58 48.749 +11 00 09.24 21.0G 16LS F51 C~2r7d 2015 06 04.54994 20 58 48.381 +11 00 07.17 21.5G 16LS F51 C~2r7d 2015 06 04.56140 20 58 48.025 +11 00 05.01 21.5G 16LS F51 C~2r7d 2015 06 04.57289 20 58 47.676 +11 00 02.72 21.0G 16LS F51 C~2r7d 2015 06 26.46154 20 44 24.672 +09 20 10.67 20.6G 16LS F51 C~2r7d 2015 06 26.47347 20 44 24.094 +09 20 06.28 20.7G 16LS F51 C~2r7d 2015 06 26.48540 20 44 23.520 +09 20 02.00 20.9G 16LS F51 C~2r7d 2015 06 27.42897 20 43 38.299 +09 14 14.88 20.2i 16LS F51 C~1UAO 2015 06 27.45232 20 43 37.166 +09 14 06.17 20.1i 16LS F51 C~1UAO 2015 06 27.46399 20 43 36.599 +09 14 01.69 20.2i 16LS F51 C~1UAO 2015 06 28.05148 20 43 08.11 +09 10 20.5 20.5V 16LS I93 C~1UAO 2015 06 28.06570 20 43 07.38 +09 10 15.4 20.7V 16LS I93 C~1UAO 2015 06 28.07423 20 43 06.96 +09 10 12.1 20.5V 16LS I93 C~1UAO 2015 06 28.264601 20 42 57.78 +09 09 01.3 20.3V 16LS H21 C~1UAO 2015 06 28.270899 20 42 57.44 +09 08 58.8 20.1V 16LS H21 C~1UAO 2015 06 28.278278 20 42 57.06 +09 08 55.9 20.0V 16LS H21 C~1UAO 2015 06 30.39181 20 41 12.50 +08 55 14.5 20.0R 16LS 291 C~1UAO 2015 06 30.41238 20 41 11.46 +08 55 06.2 20.1R 16LS 291 C~1UAO 2015 07 15.41675 20 27 43.453 +06 59 33.64 20.6w 16LS F51 C~1tiK 2015 07 15.42867 20 27 42.764 +06 59 27.33 20.5w 16LS F51 C~1tiK 2015 07 15.44068 20 27 42.080 +06 59 20.78 20.8w 16LS F51 C~1tiK 2016 06 01.58899 20 26 02.230 -26 29 03.55 21.2w 16LS F51 C~1u7r 2016 06 01.59351 20 26 02.070 -26 29 05.62 21.0w 16LS F51 C~1u7r 2016 06 01.59803 20 26 01.905 -26 29 07.93 21.1w 16LS F51 C~1u7r 2016 06 01.60255 20 26 01.745 -26 29 10.05 21.2w 16LS F51 C~1u7r 2016 06 02.613091 20 25 26.860 -26 37 29.15 20.7R 16LS 568 C~1u7r 2016 06 02.614126 20 25 26.823 -26 37 29.64 20.7R 16LS 568 C~1u7r 2016 06 02.615160 20 25 26.784 -26 37 30.19 20.6R 16LS 568 C~1u7r 2016 06 02.616194 20 25 26.746 -26 37 30.74 20.7R 16LS 568 C~1u7r 2016 06 02.617229 20 25 26.713 -26 37 31.22 20.7R 16LS 568 C~1u7r 2016 06 03.60441 20 24 51.80 -26 45 39.2 21.1R 16LS 474 C~1u7r 2016 06 03.60793 20 24 51.68 -26 45 41.0 20.8R 16LS 474 C~1u7r 2016 06 03.610929 20 24 51.528 -26 45 44.49 20.9R 16LS 568 C~1u7r 2016 06 03.61144 20 24 51.55 -26 45 42.6 21.3R 16LS 474 C~1u7r 2016 06 03.611575 20 24 51.509 -26 45 44.65 21.1R 16LS 568 C~1u7r 2016 06 03.612194 20 24 51.490 -26 45 45.07 21.0R 16LS 568 C~1u7r 2016 06 03.612866 20 24 51.461 -26 45 45.34 21.0R 16LS 568 C~1u7r 2016 06 03.614215 20 24 51.414 -26 45 46.00 21.1R 16LS 568 C~1u7r 2016 06 03.61496 20 24 51.44 -26 45 44.8 21.2R 16LS 474 C~1u7r 2016 06 03.615020 20 24 51.389 -26 45 46.39 21.2R 16LS 568 C~1u7r 2016 06 03.615679 20 24 51.361 -26 45 46.76 20.9R 16LS 568 C~1u7r 2016 06 03.616419 20 24 51.328 -26 45 47.02 20.9R 16LS 568 C~1u7r 2016 06 03.617127 20 24 51.309 -26 45 47.45 21.2R 16LS 568 C~1u7r 2016 06 04.596861 20 24 15.790 -26 53 56.42 21.4R 16LS 568 C~1u7r 2016 06 04.599359 20 24 15.697 -26 53 57.65 21.3R 16LS 568 C~1u7r 2016 06 04.63023 20 24 14.59 -26 54 11.3 20.6R 16LS 474 C~1u7r 2016 06 04.63375 20 24 14.49 -26 54 13.5 20.7R 16LS 474 C~1u7r 2016 06 04.63727 20 24 14.30 -26 54 14.6 20.3R 16LS 474 C~1u7r 2016 06 07.555067 20 22 23.480 -27 18 45.96 21.1R 16LS 568 C~1u7r 2016 06 07.555758 20 22 23.467 -27 18 46.29 21.0R 16LS 568 C~1u7r 2016 06 07.595969 20 22 21.853 -27 19 06.74 21.0R 16LS 568 C~1u7r 2016 06 07.596730 20 22 21.817 -27 19 07.02 20.8R 16LS 568 C~1u7r 2016 06 11.584387 20 19 38.569 -27 53 01.87 20.8R 16LS 568 C~1u7r 2016 06 11.590891 20 19 38.287 -27 53 05.17 20.8R 16LS 568 C~1u7r 2016 06 11.591609 20 19 38.251 -27 53 05.58 20.7R 16LS 568 C~1u7r 2016 07 05.44390 19 59 21.265 -31 16 52.87 20.8G 16LS F51 C~2r7d
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 0.08 0.00 -0.41
2 0.0000 -0.59 -0.34 0.19 -0.21
3 0.0000 -2.24 -0.11 0.16 -0.21
4 0.0000 -2.17 0.14 0.00 -0.35
5 0.0001 -4.13 0.06 0.08 -0.23
6 0.0001 -4.43 -0.06 0.27 -0.04
7 0.0001 -6.42 -0.18 0.15 -0.12
8 0.0001 -6.40 0.03 0.18 -0.08
9 0.0547 -6964.12 0.14 -336.76 -0.05
10 0.0547 -6969.92 0.02 -336.92 0.10
11 0.0547 -6975.59 0.04 -337.23 0.10
12 0.0548 -6981.20 0.15 -337.70 -0.05
13 0.1147 -21064.67 0.04 -1715.25 0.07
14 0.1147 -21074.30 -0.00 -1716.47 0.02
15 0.1148 -21083.85 0.05 -1717.61 0.05
16 0.1173 -21839.66 -0.07 -1816.76 0.22
17 0.1174 -21858.61 0.04 -1819.25 0.13
18 0.1174 -21868.13 0.05 -1820.61 -0.03
19 0.1190 -22345.59 0.10 -1885.23 -0.31
20 0.1191 -22357.63 -0.23 -1886.35 0.09
21 0.1191 -22364.69 -0.26 -1887.34 0.01
22 0.1196 -22518.45 ( 1.03) -1907.68 ( 0.75)
23 0.1196 -22524.10 ( 0.58) -1908.32 ( 0.79)
24 0.1197 -22530.46 ( 0.32) -1909.13 ( 0.77)
25 0.1255 -24289.50 -0.00 -2153.92 0.38
26 0.1255 -24307.06 0.03 -2156.46 0.24
27 0.1666 -38292.19 0.16 -4548.33 0.36
28 0.1666 -38304.42 0.09 -4550.71 0.32
29 0.1667 -38316.67 0.11 -4553.36 0.03
30 1.0486 -92659.64 0.22 -142069.51 0.03
31 1.0487 -92663.64 0.27 -142072.05 0.28
32 1.0487 -92667.86 0.08 -142074.93 0.18
33 1.0487 -92671.89 0.10 -142077.55 0.35
34 1.0514 -93572.91 0.04 -142706.86 -0.12
35 1.0515 -93573.84 0.05 -142707.47 -0.09
36 1.0515 -93574.85 -0.01 -142708.16 -0.14
37 1.0515 -93575.83 -0.05 -142708.86 -0.20
38 1.0515 -93576.69 0.04 -142709.47 -0.16
39 1.0542 -94474.80 -0.40 -143325.63 0.36
40 1.0542 -94477.97 -0.29 -143327.95 0.26
41 1.0542 -94482.70 -0.17 -143332.76 -0.18
42 1.0542 -94481.19 -0.24 -143329.91 0.50
43 1.0542 -94483.13 0.01 -143332.93 0.05
44 1.0542 -94483.71 0.01 -143333.51 -0.14
45 1.0542 -94484.38 -0.03 -143333.81 -0.02
46 1.0542 -94485.59 0.02 -143334.65 -0.01
47 1.0542 -94484.42 -0.19 -143332.89 -0.26
48 1.0542 -94486.26 0.10 -143335.16 -0.02
49 1.0542 -94486.97 0.00 -143335.62 -0.07
50 1.0542 -94487.70 -0.03 -143335.89 0.12
51 1.0542 -94488.29 0.04 -143336.48 -0.02
52 1.0569 -95400.83 -0.03 -143955.98 -0.28
53 1.0569 -95403.20 -0.01 -143957.53 -0.25
54 1.0570 -95430.73 -0.22 -143974.42 -0.11
55 1.0570 -95433.80 0.06 -143977.46 -0.92
56 1.0570 -95437.78 -0.56 -143978.42 0.35
57 1.0650 -98273.56 -0.23 -145853.44 -0.33
58 1.0650 -98273.99 0.04 -145853.91 -0.36
59 1.0651 -98314.93 -0.10 -145879.96 -0.47
60 1.0651 -98315.73 -0.14 -145880.27 -0.28
61 1.0760-102469.37 0.40 -148503.63 0.47
62 1.0760-102476.47 0.42 -148507.89 0.52
63 1.0760-102477.37 0.31 -148508.41 0.47
64 1.1413-133645.70 0.33 -165583.57 0.18
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.
16LS quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 13.282 13.283 13.281 ecceobj 0.604 0.604 0.604 incobj 114.358 114.358 114.358 qmin 4.754 4.443 4.576 qmax 21.873 22.958 21.611 amean 12.876 13.251 12.712 amin 12.144 12.902 12.213 amax 13.400 13.756 13.403 emean 0.618 0.630 0.594 emin 0.603 0.604 0.565 emax 0.640 0.669 0.643 imean 113.867 113.441 113.484 imin 112.740 112.740 112.738 imax 115.171 114.677 114.316 excite_mean 1.104 1.113 1.093 fracstop 0.003 0.002 0.006 cjmean 1.930 1.869 1.961 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 125.5 127.6 130.2 kozaiamp 13.5 12.5 15.5