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: 535991
# Created Sun Dec 22 02:07:32 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 73 observations of 73
# Arc: 11.81y
# First observation: 2010/05/10
# Last observation: 2022/03/02
# Chi-squared of fit: 72.85 DOF: 140 RMS: 0.18
# Min/Max residuals: -0.44 0.87
# Exact a, adot, b, bdot, g, gdot:
1.569517E-05 1.828950E-02 1.641127E-06 3.359118E-03 2.061499E-02 -6.773813E-03
# Covariance matrix:
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
# lat0 lon0 xBary yBary zBary JD0
1.060971 125.231944 -0.981221 -0.004532 0.242490 2455326.780736
# Heliocentric elements and errors
Epoch: 2455326.5000 = 2010/05/10
Mean Anomaly: 309.19553 +/- 0.000
Argument of Peri: 95.06993 +/- 0.000
Long of Asc Node: 120.56665 +/- 0.000
Inclination: 10.38575 +/- 0.000
Eccentricity: 0.34272887 +/- 0.0000
Semi-Major Axis: 54.97633346 +/- 0.0000
Time of Perihelion: 2476338.2139 +/- 0.0
Perihelion: 36.13435669 +/- 0.0000
Aphelion: 73.81831023 +/- 0.0000
Period (y) 407.6354 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -28.63723613 +/- 0.0000
Ecliptic Y 38.84921025 +/- 0.0000
Ecliptic Z 0.89830826 +/- 0.0000
Ecliptic XDOT -0.00145867 +/- 0.0000
Ecliptic YDOT -0.00213674 +/- 0.0000
Ecliptic ZDOT 0.00042934 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 48.27196098 +/- 0.0000
Geocenter to KBO 48.50867825 +/- 0.0000
# Hcoef: 5.93
The following table shows the complete astrometric record for 535991. 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 (535991) followed by the observatory code and reference code for the source of the astrometry.
2010 05 10.27997 08 31 26.931 +19 59 21.87 23.3G 535991 F51 C~2rYL 2010 05 12.28253 08 31 30.861 +19 59 08.88 23.0G 535991 F51 C~2rYL 2011 01 29.37276 08 39 25.870 +19 40 54.04 21.5G 535991 F51 C~2rYL 2011 01 30.47116 08 39 20.965 +19 41 14.36 22.8w 535991 F51 C~1vYC 2011 01 30.48633 08 39 20.899 +19 41 14.59 22.5w 535991 F51 C~1vYC 2011 01 30.50259 08 39 20.829 +19 41 14.94 22.3w 535991 F51 C~1vYC 2012 01 26.54310 08 44 23.538 +19 34 27.55 22.1G 535991 F51 C~2rYL 2012 02 13.30727 08 43 04.918 +19 40 00.40 22.8w 535991 F51 C~1vYC 2012 02 13.33638 08 43 04.788 +19 40 00.94 22.7w 535991 F51 C~1vYC 2012 02 13.35096 08 43 04.719 +19 40 01.28 22.6w 535991 F51 C~1vYC 2014 03 06.41021 08 51 16.650 +19 33 49.08 23.1G 535991 F51 C~2rYL 2014 05 18.27319 08 50 15.602 +19 37 38.35 22.4G 535991 F51 C~2rYL 2014 05 27.26059 08 50 38.532 +19 36 06.24 24.2G 535991 F51 C~2rYL 2014 12 21.61155 09 01 18.074 +19 02 54.38 21.6G 535991 F51 C~2rYL 2015 01 16.53425 08 59 40.942 +19 11 10.53 22.5w 535991 F51 C~1vYC 2015 01 16.54650 08 59 40.895 +19 11 10.87 22.5w 535991 F51 C~1vYC 2015 01 16.55878 08 59 40.846 +19 11 11.35 22.5w 535991 F51 C~1vYC 2015 01 16.57109 08 59 40.781 +19 11 11.30 22.5w 535991 F51 C~1vYC 2015 01 20.37309 08 59 24.313 +19 12 30.41 22.5w 535991 F51 C~1vYC 2015 01 20.38512 08 59 24.269 +19 12 30.71 22.7w 535991 F51 C~1vYC 2015 01 20.39717 08 59 24.203 +19 12 31.03 22.7w 535991 F51 C~1vYC 2015 01 20.40942 08 59 24.150 +19 12 31.27 22.5w 535991 F51 C~1vYC 2015 02 16.28998 08 57 24.198 +19 21 40.48 22.4G 535991 F51 C~2rYL 2015 02 16.30230 08 57 24.154 +19 21 41.00 23.0G 535991 F51 C~2rYL 2015 02 16.31468 08 57 24.091 +19 21 41.15 23.0G 535991 F51 C~2rYL 2015 02 16.32704 08 57 24.052 +19 21 41.20 22.3G 535991 F51 C~2rYL 2015 02 17.32690 08 57 19.720 +19 22 00.45 22.7G 535991 F51 C~2rYL 2015 03 16.41390 08 55 37.722 +19 29 14.90 22.3G 535991 F51 C~2rYL 2015 03 17.35351 08 55 34.906 +19 29 26.69 22.9w 535991 F51 C~1vYC 2015 03 17.37857 08 55 34.821 +19 29 27.20 22.6w 535991 F51 C~1vYC 2015 03 17.39112 08 55 34.788 +19 29 27.25 22.9w 535991 F51 C~1vYC 2015 11 08.62691 09 07 09.803 +18 47 25.58 23.2G 535991 F51 C~2rYL 2016 01 07.58763 09 05 17.144 +19 00 05.59 22.1G 535991 F51 C~2rYL 2016 01 07.60257 09 05 17.068 +19 00 05.64 22.6G 535991 F51 C~2rYL 2016 01 07.61744 09 05 17.023 +19 00 05.84 22.3G 535991 F51 C~2rYL 2016 01 07.63239 09 05 16.960 +19 00 06.36 21.8G 535991 F51 C~2rYL 2016 01 08.42664 09 05 13.871 +19 00 22.41 22.3G 535991 F51 C~2rYL 2016 01 08.44114 09 05 13.784 +19 00 22.69 23.0G 535991 F51 C~2rYL 2016 01 08.45574 09 05 13.758 +19 00 22.88 22.7G 535991 F51 C~2rYL 2016 02 03.37501 09 03 21.358 +19 09 33.41 20.9G 535991 F51 C~2rYL 2016 02 05.56134 09 03 11.445 +19 10 19.56 20.9G 535991 F51 C~2rYL 2016 03 03.24270 09 01 17.570 +19 18 51.32 22.7G 535991 F51 C~2rYL 2016 04 28.26281 08 59 29.531 +19 25 55.37 22.8G 535991 F51 C~2rYL 2016 05 02.25946 08 59 31.619 +19 25 42.86 22.8G 535991 F51 C~2rYL 2017 01 28.39025 09 08 47.009 +18 59 18.71 22.3G 535991 F51 C~2rYL 2017 01 28.40247 09 08 46.958 +18 59 19.18 22.4G 535991 F51 C~2rYL 2017 01 28.41463 09 08 46.907 +18 59 19.42 22.3G 535991 F51 C~2rYL 2017 02 04.51671 09 08 14.734 +19 01 55.13 22.6G 535991 F51 C~2rYL 2017 02 04.52923 09 08 14.659 +19 01 55.25 22.5G 535991 F51 C~2rYL 2017 02 04.54177 09 08 14.617 +19 01 55.55 22.5G 535991 F51 C~2rYL 2017 02 04.55427 09 08 14.549 +19 01 55.91 22.7G 535991 F51 C~2rYL 2017 03 17.27599 09 05 29.719 +19 14 18.57 22.5G 535991 F51 C~2rYL 2017 11 20.58011 09 17 08.318 +18 30 26.55 22.4G 535991 F51 C~2rYL 2017 12 26.61857 09 16 03.524 +18 38 30.65 21.0G 535991 F51 C~2rYL 2017 12 28.62186 09 15 57.068 +18 39 09.84 20.9G 535991 F51 C~2rYL 2018 01 10.43248 09 15 10.265 +18 43 32.59 22.3G 535991 F51 C~2rYL 2018 01 11.60633 09 15 05.573 +18 43 58.64 21.2G 535991 F51 C~2rYL 2018 01 14.55324 09 14 53.543 +18 45 02.59 22.8G 535991 F51 C~2rYL 2018 01 14.56558 09 14 53.482 +18 45 02.75 22.0G 535991 F51 C~2rYL 2018 01 14.57790 09 14 53.440 +18 45 03.16 22.4G 535991 F51 C~2rYL 2018 01 14.59025 09 14 53.377 +18 45 03.36 22.9G 535991 F51 C~2rYL 2018 01 23.39871 09 14 15.605 +18 48 20.82 22.3G 535991 F51 C~2rYL 2018 02 12.35055 09 12 45.541 +18 55 46.43 22.5G 535991 F51 C~2rYL 2018 02 12.36380 09 12 45.487 +18 55 46.81 22.6G 535991 F51 C~2rYL 2018 02 12.37711 09 12 45.412 +18 55 47.04 22.8G 535991 F51 C~2rYL 2018 02 12.39065 09 12 45.372 +18 55 47.20 22.8G 535991 F51 C~2rYL 2018 03 18.24079 09 10 30.488 +19 05 58.21 24.0G 535991 F51 C~2rYL 2021 03 20.145980 09 25 52.408 +18 37 15.18 22.7G 535991 G37 C~4mmX 2021 03 20.186670 09 25 52.258 +18 37 15.79 535991 G37 C~4mmX 2021 03 20.225850 09 25 52.124 +18 37 16.51 535991 G37 C~4mmX 2022 03 02.149600 09 32 19.561 +18 20 41.79 22.5G 535991 G37 C~5V3l 2022 03 02.189270 09 32 19.426 +18 20 42.35 535991 G37 C~5V3l 2022 03 02.230080 09 32 19.274 +18 20 43.60 535991 G37 C~5V3l
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 -0.30 0.00 0.27
2 0.0055 0.00 0.03 0.00 -0.07
3 0.7230 0.00 -0.08 0.00 0.18
4 0.7261 0.00 0.06 0.00 0.06
5 0.7261 0.00 0.10 0.00 0.01
6 0.7261 0.00 0.16 0.00 0.06
7 1.7146 0.00 -0.13 0.00 -0.19
8 1.7633 0.00 0.11 0.00 0.00
9 1.7633 0.00 0.06 0.00 0.02
10 1.7634 0.00 -0.02 0.00 0.10
11 3.8224 0.00 -0.09 0.00 -0.20
12 4.0219 0.00 -0.24 0.00 -0.44
13 4.0465 0.00 0.26 0.00 0.31
14 4.6169 0.00 0.00 0.00 -0.15
15 4.6879 0.00 0.01 0.00 0.04
16 4.6879 0.00 0.10 0.00 0.13
17 4.6880 0.00 0.17 0.00 0.36
18 4.6880 0.00 0.00 0.00 0.05
19 4.6984 0.00 0.10 0.00 0.01
20 4.6984 0.00 0.24 0.00 0.06
21 4.6985 0.00 0.05 0.00 0.12
22 4.6985 0.00 0.08 0.00 0.11
23 4.7721 0.00 -0.13 0.00 -0.16
24 4.7721 0.00 0.02 0.00 0.12
25 4.7722 0.00 -0.10 0.00 0.03
26 4.7722 0.00 0.13 0.00 -0.16
27 4.7749 0.00 0.00 0.00 0.04
28 4.8491 0.00 -0.19 0.00 -0.16
29 4.8517 0.00 0.07 0.00 -0.00
30 4.8517 0.00 -0.05 0.00 0.20
31 4.8518 0.00 0.03 0.00 0.10
32 5.4986 0.00 -0.09 0.00 0.03
33 5.6627 0.00 0.01 0.00 0.13
34 5.6628 0.00 -0.23 0.00 -0.12
35 5.6628 0.00 -0.02 0.00 -0.22
36 5.6628 0.00 -0.07 0.00 -0.00
37 5.6650 0.00 0.27 0.00 -0.13
38 5.6651 0.00 -0.15 0.00 -0.14
39 5.6651 0.00 0.34 0.00 -0.25
40 5.7361 0.00 -0.15 0.00 -0.27
41 5.7420 0.00 -0.16 0.00 -0.38
42 5.8151 0.00 -0.09 0.00 -0.07
43 5.9685 0.00 -0.19 0.00 -0.04
44 5.9794 0.00 0.09 0.00 0.01
45 6.7217 0.00 -0.13 0.00 -0.17
46 6.7218 0.00 -0.06 0.00 0.03
47 6.7218 0.00 0.01 0.00 -0.00
48 6.7412 0.00 0.20 0.00 0.07
49 6.7413 0.00 -0.06 0.00 -0.08
50 6.7413 0.00 0.17 0.00 -0.05
51 6.7413 0.00 0.02 0.00 0.04
52 6.8528 0.00 0.04 0.00 -0.09
53 7.5326 0.00 -0.08 0.00 -0.11
54 7.6313 0.00 -0.29 0.00 -0.01
55 7.6368 0.00 0.03 0.00 0.87
56 7.6719 0.00 -0.25 0.00 0.02
57 7.6751 0.00 0.01 0.00 0.62
58 7.6832 0.00 0.11 0.00 -0.05
59 7.6832 0.00 -0.03 0.00 -0.16
60 7.6832 0.00 0.12 0.00 -0.02
61 7.6833 0.00 -0.04 0.00 -0.09
62 7.7074 0.00 -0.30 0.00 0.03
63 7.7620 0.00 -0.04 0.00 -0.06
64 7.7620 0.00 0.06 0.00 0.03
65 7.7621 0.00 -0.15 0.00 -0.02
66 7.7621 0.00 0.18 0.00 -0.16
67 7.8548 0.00 -0.00 0.00 -0.09
68 10.8607 0.00 0.12 0.00 -0.16
69 10.8608 0.00 -0.07 0.00 -0.14
70 10.8609 0.00 -0.10 0.00 0.01
71 11.8107 0.00 -0.37 0.00 0.18
72 11.8108 0.00 0.18 0.00 -0.09
73 11.8110 0.00 0.55 0.00 0.31
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.
535991 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 55.210 55.210 55.210 ecceobj 0.341 0.341 0.341 incobj 10.367 10.367 10.367 qmin 34.851 34.863 34.867 qmax 77.368 77.358 77.408 amean 55.463 55.463 55.463 amin 54.706 54.708 54.687 amax 56.432 56.404 56.444 emean 0.356 0.356 0.356 emin 0.338 0.338 0.338 emax 0.372 0.372 0.373 imean 7.541 7.554 7.537 imin 6.610 6.640 6.599 imax 8.855 8.855 8.855 excite_mean 0.379 0.379 0.379 fracstop 1.000 1.000 1.000 cjmean 3.058 3.058 3.058 libcent 0 179.7 179.4 180.1 libamp 0 110.8 111.0 109.9 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 150.8 151.7 150.4 kozaiamp 64.7 65.6 64.3