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: 13UY16 # Created Mon Apr 28 01:09:51 2025 # Orbit generated from Bernstein formalism # Fitting 45 observations of 45 # Arc: 4.08y # First observation: 2013/08/02 # Last observation: 2017/08/30 Preliminary a, adot, b, bdot, g, gdot: -0.000027 0.021254 0.000002 0.000690 0.022882 0.000000 # Chi-squared of fit: 26.19 DOF: 84 RMS: 0.13 # Min/Max residuals: -0.48 0.34 # Exact a, adot, b, bdot, g, gdot: 1.494236E-05 2.128760E-02 4.239242E-07 6.969622E-04 2.278803E-02 2.501251E-03 # Covariance matrix: 1.4842E-13 1.1839E-14 6.9869E-16 1.0700E-15 1.1097E-13 5.3203E-13 1.1839E-14 1.3958E-13 -6.8735E-16 4.6734E-15 8.1695E-14 1.8253E-12 6.9869E-16 -6.8735E-16 4.9605E-14 -1.8764E-14 3.9474E-16 -9.9086E-15 1.0700E-15 4.6734E-15 -1.8764E-14 2.0540E-14 3.0753E-15 7.1460E-14 1.1097E-13 8.1695E-14 3.9474E-16 3.0753E-15 1.4506E-13 1.3140E-12 5.3203E-13 1.8253E-12 -9.9086E-15 7.1460E-14 1.3140E-12 2.7990E-11 # lat0 lon0 xBary yBary zBary JD0 -1.490314 15.379227 0.923706 -0.011025 -0.424831 2456507.005448 # Heliocentric elements and errors Epoch: 2456500.5000 = 2013/07/27 Mean Anomaly: 88.08274 +/- 0.047 Argument of Peri: 222.40684 +/- 0.038 Long of Asc Node: 52.93858 +/- 0.006 Inclination: 2.35667 +/- 0.000 Eccentricity: 0.09373912 +/- 0.0002 Semi-Major Axis: 44.06797358 +/- 0.0030 Time of Perihelion: 2430356.5408 +/- 13.8 Perihelion: 39.93708064 +/- 0.0109 Aphelion: 48.19886652 +/- 0.0110 Period (y) 292.5451 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.95150452 +/- 0.0007 Ecliptic Y 10.85925594 +/- 0.0002 Ecliptic Z -1.14123598 +/- 0.0000 Ecliptic XDOT -0.00039276 +/- 0.0000 Ecliptic YDOT 0.00254542 +/- 0.0000 Ecliptic ZDOT 0.00007603 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.31768947 +/- 0.0007 Geocenter to KBO 43.88268075 +/- 0.0007 # Hcoef: 7.61
The following table shows the complete astrometric record for 13UY16. 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 (13UY16) followed by the observatory code and reference code for the source of the astrometry.
2013 08 02.50467 00 58 57.608 +04 40 49.03 24.1r 13UY16 568 C~2NKX 2013 08 02.54741 00 58 57.548 +04 40 48.57 24.0r 13UY16 568 C~2NKX 2013 08 11.50367 00 58 42.696 +04 39 02.37 23.8r 13UY16 568 C~2NKX 2013 08 30.42008 00 57 53.224 +04 33 30.32 24.1r 13UY16 568 C~2NKX 2013 08 31.42413 00 57 49.969 +04 33 09.35 24.2r 13UY16 568 C~2NKX 2013 08 31.46730 00 57 49.831 +04 33 08.46 24.0r 13UY16 568 C~2NKX 2013 09 04.40430 00 57 36.633 +04 31 42.62 13UY16 568 C~2NKX 2013 09 04.44707 00 57 36.480 +04 31 41.70 24.2r 13UY16 568 C~2NKX 2013 10 05.37122 00 55 33.017 +04 18 42.29 23.5r 13UY16 568 C~2NKX 2013 10 05.37632 00 55 32.981 +04 18 42.07 23.7r 13UY16 568 C~2NKX 2013 10 06.37972 00 55 28.658 +04 18 15.33 24.3r 13UY16 568 C~2NKX 2013 10 06.44410 00 55 28.368 +04 18 13.64 23.7r 13UY16 568 C~2NKX 2013 10 09.50414 00 55 15.167 +04 16 52.44 23.6r 13UY16 568 C~2NKX 2013 10 09.50879 00 55 15.141 +04 16 52.37 23.3r 13UY16 568 C~2NKX 2013 10 31.22708 00 53 44.773 +04 07 46.38 23.8r 13UY16 568 C~2NKX 2013 10 31.27019 00 53 44.594 +04 07 45.47 23.8r 13UY16 568 C~2NKX 2013 10 31.31297 00 53 44.426 +04 07 44.40 23.7r 13UY16 568 C~2NKX 2013 11 01.25343 00 53 40.798 +04 07 22.96 24.2r 13UY16 568 C~2NKX 2013 11 01.37273 00 53 40.317 +04 07 20.33 24.6r 13UY16 568 C~2NKX 2013 11 02.20394 00 53 37.172 +04 07 01.35 23.8r 13UY16 568 C~2NKX 2013 11 02.22554 00 53 37.090 +04 07 00.79 23.5r 13UY16 568 C~2NKX 2013 11 02.24797 00 53 36.982 +04 07 00.33 23.8r 13UY16 568 C~2NKX 2013 11 02.26953 00 53 36.879 +04 07 00.16 23.8r 13UY16 568 C~2NKX 2013 11 02.29201 00 53 36.796 +04 06 59.65 24.7r 13UY16 568 C~2NKX 2013 11 05.35173 00 53 25.296 +04 05 51.81 23.6r 13UY16 568 C~2NKX 2013 11 05.37780 00 53 25.202 +04 05 51.37 24.3r 13UY16 568 C~2NKX 2013 11 29.21607 00 52 12.628 +03 59 01.08 24.7r 13UY16 568 C~2NKX 2013 12 04.24324 00 52 02.025 +03 58 06.63 24.3r 13UY16 568 C~2NKX 2013 12 04.29069 00 52 01.934 +03 58 06.31 24.2r 13UY16 568 C~2NKX 2013 12 05.31529 00 52 00.027 +03 57 56.67 23.9r 13UY16 568 C~2NKX 2014 07 27.56807 01 03 30.581 +05 11 51.03 24.5r 13UY16 568 C~2NKX 2014 08 28.45040 01 02 29.145 +05 04 46.66 24.5r 13UY16 568 C~2NKX 2014 10 23.37571 00 58 47.568 +04 41 47.09 24.0r 13UY16 568 C~2NKX 2014 10 27.41437 00 58 30.947 +04 40 07.75 23.9r 13UY16 568 C~2NKX 2014 11 24.27889 00 56 53.865 +04 30 47.69 23.9r 13UY16 568 C~2NKX 2014 12 17.27056 00 56 10.275 +04 27 08.73 23.9r 13UY16 568 C~2NKX 2015 01 17.27935 00 56 20.838 +04 29 34.55 24.1r 13UY16 568 C~2NKX 2015 08 20.53131 01 07 18.954 +05 37 23.91 23.9r 13UY16 568 C~2NKX 2015 12 07.37370 01 00 50.906 +04 58 28.61 24.5w 13UY16 568 C~2NKX 2017 01 31.21678 01 05 34.336 +05 32 32.41 24.7w 13UY16 568 C~2NKX 2017 01 31.22433 01 05 34.377 +05 32 32.62 24.6w 13UY16 568 C~2NKX 2017 07 24.59587 01 16 44.436 +06 40 48.45 24.2w 13UY16 568 C~2NKX 2017 08 25.52748 01 15 57.505 +06 35 23.64 24.1w 13UY16 568 C~2NKX 2017 08 30.46920 01 15 43.772 +06 33 55.68 24.4w 13UY16 568 C~2NKX 2017 08 30.52183 01 15 43.639 +06 33 54.65 24.8w 13UY16 568 C~2NKX
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 -0.04 0.00 0.01
2 0.0001 -1.00 -0.06 -0.08 -0.02
3 0.0246 -246.82 -0.04 -12.64 0.05
4 0.0764 -1057.33 0.16 -34.29 -0.29
5 0.0792 -1110.33 -0.08 -34.90 -0.02
6 0.0793 -1112.57 0.00 -34.93 -0.03
7 0.0901 -1327.77 -0.07 -38.12 -0.03
8 0.0902 -1330.23 -0.09 -38.09 0.01
9 0.1749 -3334.69 0.34 -45.29 0.02
10 0.1749 -3335.27 0.12 -45.29 0.02
11 0.1776 -3405.26 0.11 -45.00 -0.03
12 0.1778 -3409.92 0.02 -44.89 0.03
13 0.1862 -3623.48 0.01 -43.59 0.03
14 0.1862 -3623.86 -0.05 -43.50 0.12
15 0.2456 -5082.37 -0.02 -25.02 -0.04
16 0.2458 -5085.19 -0.11 -24.83 0.08
17 0.2459 -5087.92 -0.12 -24.84 -0.00
18 0.2485 -5146.31 0.08 -23.64 0.03
19 0.2488 -5153.96 -0.06 -23.29 0.18
20 0.2511 -5204.73 0.32 -22.61 -0.16
21 0.2511 -5206.08 0.32 -22.65 -0.24
22 0.2512 -5207.75 0.05 -22.45 -0.07
23 0.2512 -5209.23 -0.10 -22.01 0.33
24 0.2513 -5210.58 -0.04 -22.00 0.30
25 0.2597 -5395.61 -0.27 -18.07 -0.00
26 0.2597 -5397.08 -0.16 -17.93 0.09
27 0.3250 -6558.14 -0.23 23.63 -0.48
28 0.3388 -6725.68 -0.13 34.81 -0.04
29 0.3389 -6727.07 -0.03 35.04 0.07
30 0.3417 -6757.14 0.20 37.20 -0.04
31 0.9831 4482.35 0.05 152.59 0.16
32 1.0704 3471.57 -0.09 112.56 -0.04
33 1.2235 -116.19 -0.04 111.35 0.11
34 1.2345 -383.77 0.04 115.31 -0.07
35 1.3108 -1939.10 0.00 157.65 -0.10
36 1.3738 -2625.06 0.11 206.98 0.12
37 1.4587 -2423.05 -0.06 280.60 0.07
38 2.0480 8223.31 0.02 264.46 -0.07
39 2.3460 1970.73 -0.11 327.01 0.05
40 3.4982 6666.60 -0.12 592.05 0.02
41 3.4982 6667.24 0.20 592.01 -0.04
42 3.9756 17507.17 -0.12 582.11 -0.06
43 4.0630 16731.72 0.02 545.41 0.12
44 4.0766 16507.56 -0.13 541.33 0.05
45 4.0767 16505.32 0.20 541.12 -0.14
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.
13UY16 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.310 44.320 44.301 ecceobj 0.096 0.096 0.095 incobj 2.354 2.354 2.354 qmin 39.301 39.308 39.321 qmax 49.116 49.139 49.072 amean 44.065 44.075 44.056 amin 43.708 43.719 43.716 amax 44.448 44.457 44.438 emean 0.088 0.088 0.087 emin 0.071 0.071 0.070 emax 0.105 0.105 0.105 imean 1.309 1.310 1.307 imin 0.443 0.446 0.440 imax 2.009 2.010 2.009 excite_mean 0.091 0.091 0.091 fracstop 1.000 1.000 1.000 cjmean 3.092 3.092 3.092 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 192.5 192.5 192.4 kozaiamp 180.0 180.0 179.9