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: 13TY171 # Created Sun Dec 22 02:09:42 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 47 observations of 47 # Arc: 8.15y # First observation: 2013/10/04 # Last observation: 2021/11/26 # Chi-squared of fit: 17.63 DOF: 88 RMS: 0.11 # Min/Max residuals: -0.35 0.36 # Exact a, adot, b, bdot, g, gdot: 1.638349E-05 3.102203E-02 5.069216E-06 1.119116E-02 2.976905E-02 7.206625E-03 # Covariance matrix: 1.4942E-13 -6.3205E-14 1.6878E-14 -1.8211E-14 3.8100E-14 -2.3298E-13 -6.3205E-14 5.1227E-14 -1.8690E-14 1.7716E-14 1.1843E-14 2.2483E-13 1.6878E-14 -1.8690E-14 9.7483E-14 -2.6659E-14 -9.3299E-15 -9.2965E-14 -1.8211E-14 1.7716E-14 -2.6659E-14 1.3606E-14 2.2907E-15 8.9725E-14 3.8100E-14 1.1843E-14 -9.3299E-15 2.2907E-15 1.5045E-13 2.3522E-14 -2.3298E-13 2.2483E-13 -9.2965E-14 8.9725E-14 2.3522E-14 1.1400E-12 # lat0 lon0 xBary yBary zBary JD0 -16.176425 21.912997 0.192483 -0.273376 -0.942811 2456569.722038 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 47.18527 +/- 0.007 Argument of Peri: 248.08958 +/- 0.009 Long of Asc Node: 58.86089 +/- 0.000 Inclination: 24.92923 +/- 0.000 Eccentricity: 0.24194580 +/- 0.0000 Semi-Major Axis: 39.44106708 +/- 0.0027 Time of Perihelion: 2444712.1196 +/- 2.1 Perihelion: 29.89846660 +/- 0.0027 Aphelion: 48.98366756 +/- 0.0038 Period (y) 247.7030 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.91305367 +/- 0.0004 Ecliptic Y 12.23085228 +/- 0.0002 Ecliptic Z -9.35844356 +/- 0.0001 Ecliptic XDOT -0.00021435 +/- 0.0000 Ecliptic YDOT 0.00299016 +/- 0.0000 Ecliptic ZDOT 0.00080399 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 34.53668246 +/- 0.0004 Geocenter to KBO 33.59184234 +/- 0.0004 # Hcoef: 7.15
The following table shows the complete astrometric record for 13TY171. 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 (13TY171) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.22126 01 45 03.263 -06 29 24.96 23.5g 13TY171 W84 C~4yR8 2013 10 04.23940 01 45 03.168 -06 29 25.65 22.4r 13TY171 W84 C~4yR8 2013 10 04.24078 01 45 03.161 -06 29 25.75 22.2i 13TY171 W84 C~4yR8 2013 10 11.205637 01 44 24.68 -06 32 53.1 23.6g 13TY171 W84 C~352D 2013 10 11.20755 01 44 24.674 -06 32 52.78 22.4r 13TY171 W84 C~4yR8 2013 11 08.14417 01 41 47.614 -06 42 33.21 23.7g 13TY171 W84 C~4yR8 2013 11 08.14556 01 41 47.609 -06 42 33.35 22.5r 13TY171 W84 C~4yR8 2013 11 08.146470 01 41 47.59 -06 42 33.4 22.2i 13TY171 W84 C~352D 2014 09 25.26318 01 51 28.514 -05 09 42.52 22.2i 13TY171 W84 C~4yR8 2014 11 03.24535 01 47 54.666 -05 26 42.19 21.5z 13TY171 W84 C~4yR8 2014 12 13.15215 01 44 54.108 -05 27 52.94 22.0i 13TY171 W84 C~4yR8 2014 12 25.09642 01 44 24.706 -05 24 10.68 22.8r 13TY171 W84 C~4yR8 2015 01 16.051505 01 44 10.39 -05 12 46.5 22.2z 13TY171 W84 C~352D 2015 01 16.052870 01 44 10.39 -05 12 46.4 22.1z 13TY171 W84 C~352D 2015 08 24.413102 01 58 56.14 -03 39 01.9 22.3i 13TY171 W84 C~352D 2015 08 24.41363 01 58 56.162 -03 39 01.92 22.4i 13TY171 W84 C~4yR8 2015 10 17.21061 01 55 04.508 -04 06 35.04 22.7r 13TY171 W84 C~4yR8 2015 10 22.25471 01 54 36.102 -04 08 41.05 22.0i 13TY171 W84 C~4yR8 2015 11 01.19867 01 53 40.064 -04 12 12.62 22.3i 13TY171 W84 C~4yR8 2015 11 06.16972 01 53 12.530 -04 13 37.35 21.9i 13TY171 W84 C~4yR8 2015 11 16.14295 01 52 19.548 -04 15 40.16 21.5i 13TY171 W84 C~4yR8 2015 11 20.12920 01 51 59.589 -04 16 09.84 22.3z 13TY171 W84 C~4yR8 2016 09 06.40635 02 03 38.764 -02 33 34.05 21.9z 13TY171 W84 C~4yR8 2016 09 08.38344 02 03 31.899 -02 34 34.38 22.5i 13TY171 W84 C~4yR8 2016 09 08.38483 02 03 31.895 -02 34 34.59 23.2r 13TY171 W84 C~4yR8 2016 11 07.15675 01 58 29.649 -03 01 12.18 22.4z 13TY171 W84 C~4yR8 2016 11 07.15812 01 58 29.641 -03 01 12.12 22.3i 13TY171 W84 C~4yR8 2016 11 25.17780 01 56 57.954 -03 04 02.24 22.8r 13TY171 W84 C~4yR8 2016 11 28.15083 01 56 44.486 -03 04 08.73 22.4i 13TY171 W84 C~4yR8 2016 12 06.062257 01 56 11.67 -03 03 53.8 22.1z 13TY171 W84 C~352D 2017 09 14.307650 02 08 28.50 -01 25 51.3 22.6r 13TY171 W84 C~352D 2017 09 14.30817 02 08 28.501 -01 25 51.40 22.5r 13TY171 W84 C~4yR8 2017 10 22.20898 02 05 21.090 -01 43 47.86 23.7g 13TY171 W84 C~4yR8 2017 11 23.124317 02 02 29.41 -01 52 11.6 22.8r 13TY171 W84 C~352D 2017 11 23.12484 02 02 29.412 -01 52 11.61 22.7r 13TY171 W84 C~4yR8 2017 11 23.12621 02 02 29.412 -01 52 11.67 22.5z 13TY171 W84 C~4yR8 2018 10 19.28824 02 10 54.827 -00 31 23.04 22.2z 13TY171 W84 C~4yR8 2018 10 20.20080 02 10 49.806 -00 31 45.80 22.2z 13TY171 W84 C~4yR8 2018 11 07.22536 02 09 09.697 -00 38 04.53 23.0r 13TY171 W84 C~4yR8 2018 11 07.22673 02 09 09.688 -00 38 04.66 22.7i 13TY171 W84 C~4yR8 2018 11 07.22811 02 09 09.666 -00 38 04.58 24.2g 13TY171 W84 C~4yR8 2019 11 02.42149 02 14 49.76 +00 33 35.8 22.4i 13TY171 T09 C~7xNr 2019 11 02.55100 02 14 49.06 +00 33 33.5 22.6i 13TY171 T09 C~7xNr 2019 11 02.57528 02 14 48.88 +00 33 33.2 22.4i 13TY171 T09 C~7xNr 2021 11 26.280409 02 22 54.114 +02 45 03.61 22.9w 13TY171 F51 C~5HDE 2021 11 26.293336 02 22 54.052 +02 45 03.61 22.8w 13TY171 F51 C~5HDE 2021 11 26.306293 02 22 53.961 +02 45 03.51 23.0w 13TY171 F51 C~5HDE
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 -0.05 0.00 0.17
2 0.0000 0.00 0.03 0.00 0.05
3 0.0001 0.00 0.04 0.00 -0.01
4 0.0191 0.00 -0.04 0.00 -0.35
5 0.0191 0.00 0.03 0.00 0.03
6 0.0956 0.00 0.03 0.00 0.12
7 0.0956 0.00 0.07 0.00 -0.01
8 0.0956 0.00 -0.14 0.00 -0.04
9 0.9748 0.00 0.01 0.00 0.06
10 1.0815 0.00 -0.08 0.00 -0.00
11 1.1908 0.00 -0.01 0.00 0.08
12 1.2235 0.00 0.04 0.00 -0.07
13 1.2836 0.00 0.02 0.00 0.03
14 1.2836 0.00 0.01 0.00 0.07
15 1.8869 0.00 -0.31 0.00 0.03
16 1.8869 0.00 0.04 0.00 0.03
17 2.0342 0.00 -0.01 0.00 0.02
18 2.0480 0.00 0.06 0.00 -0.07
19 2.0752 0.00 -0.00 0.00 -0.07
20 2.0888 0.00 0.03 0.00 0.16
21 2.1161 0.00 0.10 0.00 -0.04
22 2.1271 0.00 0.14 0.00 0.00
23 2.9245 0.00 0.19 0.00 0.10
24 2.9299 0.00 -0.02 0.00 0.12
25 2.9299 0.00 -0.00 0.00 -0.05
26 3.0936 0.00 0.01 0.00 -0.13
27 3.0936 0.00 0.00 0.00 -0.05
28 3.1429 0.00 -0.01 0.00 0.04
29 3.1511 0.00 0.04 0.00 -0.03
30 3.1727 0.00 -0.20 0.00 0.03
31 3.9455 0.00 -0.02 0.00 -0.02
32 3.9455 0.00 0.02 0.00 -0.10
33 4.0492 0.00 0.14 0.00 -0.03
34 4.1366 0.00 -0.08 0.00 -0.03
35 4.1366 0.00 -0.01 0.00 -0.04
36 4.1366 0.00 0.09 0.00 -0.09
37 5.0406 0.00 0.03 0.00 0.14
38 5.0431 0.00 0.01 0.00 -0.05
39 5.0924 0.00 0.13 0.00 0.02
40 5.0924 0.00 0.11 0.00 -0.09
41 5.0924 0.00 -0.10 0.00 0.02
42 6.0786 0.00 -0.09 0.00 -0.18
43 6.0789 0.00 0.36 0.00 0.06
44 6.0790 0.00 -0.30 0.00 0.24
45 8.1453 0.00 0.08 0.00 -0.07
46 8.1453 0.00 0.12 0.00 0.04
47 8.1453 0.00 -0.29 0.00 0.05
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.
13TY171 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.690 39.690 39.690 ecceobj 0.247 0.247 0.247 incobj 24.928 24.928 24.928 qmin 28.103 28.103 28.103 qmax 51.362 51.363 51.360 amean 39.454 39.454 39.454 amin 38.975 38.975 38.975 amax 40.017 40.017 40.017 emean 0.251 0.251 0.251 emin 0.209 0.209 0.209 emax 0.286 0.286 0.286 imean 23.521 23.521 23.521 imin 22.487 22.487 22.487 imax 24.636 24.636 24.636 excite_mean 0.472 0.472 0.472 fracstop 1.000 1.000 1.000 cjmean 2.794 2.794 2.794 libcent 0 179.5 179.5 179.5 libamp 0 100.0 100.0 100.0 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 268.8 268.8 268.8 kozaiamp 28.8 28.8 28.8