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: 15TY360 # Created Fri Nov 22 02:10:29 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 30 observations of 30 # Arc: 5.10y # First observation: 2013/09/10 # Last observation: 2018/10/18 # Chi-squared of fit: 6.88 DOF: 54 RMS: 0.08 # Min/Max residuals: -0.16 0.18 # Exact a, adot, b, bdot, g, gdot: 1.502456E-05 2.102752E-02 2.915706E-06 3.252394E-03 2.268657E-02 9.275467E-03 # Covariance matrix: 2.6812E-13 -6.3948E-14 2.5240E-16 -2.8206E-16 1.9604E-13 -1.4627E-14 -6.3948E-14 1.5466E-13 -1.0718E-14 2.3086E-14 9.5609E-14 1.7635E-12 2.5240E-16 -1.0718E-14 1.3999E-13 -4.5385E-14 -1.0021E-14 -1.4467E-13 -2.8206E-16 2.3086E-14 -4.5385E-14 2.5478E-14 2.2023E-14 3.1214E-13 1.9604E-13 9.5609E-14 -1.0021E-14 2.2023E-14 4.2136E-13 1.6939E-12 -1.4627E-14 1.7635E-12 -1.4467E-13 3.1214E-13 1.6939E-12 2.3858E-11 # lat0 lon0 xBary yBary zBary JD0 -5.118624 14.915008 0.464235 -0.079701 -0.890911 2456545.859148 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 41.58177 +/- 0.018 Argument of Peri: 241.19002 +/- 0.011 Long of Asc Node: 44.22046 +/- 0.001 Inclination: 9.98830 +/- 0.000 Eccentricity: 0.42649299 +/- 0.0002 Semi-Major Axis: 55.57110029 +/- 0.0138 Time of Perihelion: 2439069.2784 +/- 9.9 Perihelion: 31.87041561 +/- 0.0147 Aphelion: 79.27178497 +/- 0.0232 Period (y) 414.2683 +/- 0.15 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.40736964 +/- 0.0012 Ecliptic Y 11.08479630 +/- 0.0003 Ecliptic Z -3.93253464 +/- 0.0001 Ecliptic XDOT 0.00045186 +/- 0.0000 Ecliptic YDOT 0.00274695 +/- 0.0000 Ecliptic ZDOT 0.00029121 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.97235201 +/- 0.0012 Geocenter to KBO 44.07868035 +/- 0.0013 # Hcoef: 6.67
The following table shows the complete astrometric record for 15TY360. 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 (15TY360) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.35837 01 02 50.121 +01 09 09.91 23.7g 15TY360 W84 C~52RO 2013 09 10.35978 01 02 50.118 +01 09 10.03 23.1r 15TY360 W84 C~52RO 2013 09 10.36117 01 02 50.116 +01 09 09.92 23.0i 15TY360 W84 C~52RO 2013 10 03.11252 01 01 18.975 +00 59 39.80 23.8g 15TY360 W84 C~52RO 2013 10 13.20726 01 00 35.811 +00 55 31.54 23.0i 15TY360 W84 C~52RO 2013 11 08.17829 00 58 51.310 +00 46 34.40 23.7r 15TY360 W84 C~52RO 2013 11 08.19267 00 58 51.250 +00 46 34.21 23.3i 15TY360 W84 C~52RO 2013 11 23.15645 00 58 03.038 +00 43 15.25 23.2i 15TY360 W84 C~52RO 2013 11 23.15782 00 58 03.054 +00 43 15.09 22.4z 15TY360 W84 C~52RO 2014 10 23.24435 01 04 03.624 +01 29 42.08 23.6r 15TY360 W84 C~52RO 2015 10 10.320507 01 09 03.556 +02 11 58.60 23.0r 15TY360 568 C~2TuU 2015 10 10.352440 01 09 03.419 +02 11 57.85 23.0r 15TY360 568 C~2TuU 2015 10 10.354562 01 09 03.407 +02 11 57.80 23.1r 15TY360 568 C~2TuU 2015 10 10.386832 01 09 03.271 +02 11 57.00 23.1r 15TY360 568 C~2TuU 2015 10 14.300446 01 08 46.706 +02 10 23.57 23.7g 15TY360 568 C~2TuU 2015 10 14.332472 01 08 46.570 +02 10 22.82 23.4g 15TY360 568 C~2TuU 2015 10 14.334604 01 08 46.559 +02 10 22.75 23.6g 15TY360 568 C~2TuU 2015 10 14.366697 01 08 46.424 +02 10 21.97 23.5g 15TY360 568 C~2TuU 2015 11 07.12015 01 07 10.299 +02 02 01.51 23.3r 15TY360 W84 C~52RO 2016 08 30.35818 01 15 33.207 +03 03 57.59 24.5g 15TY360 W84 C~52RO 2016 11 05.17688 01 11 14.911 +02 38 50.23 23.1r 15TY360 W84 C~52RO 2016 11 05.17825 01 11 14.906 +02 38 50.10 23.1i 15TY360 W84 C~52RO 2016 11 05.17962 01 11 14.895 +02 38 50.33 23.5g 15TY360 W84 C~52RO 2017 08 22.41286 01 19 47.991 +03 41 52.51 23.0i 15TY360 W84 C~52RO 2017 08 27.37768 01 19 35.728 +03 40 24.85 23.1r 15TY360 W84 C~52RO 2017 08 28.36829 01 19 33.105 +03 40 06.22 23.1i 15TY360 W84 C~52RO 2017 08 28.37103 01 19 33.107 +03 40 06.32 22.2z 15TY360 W84 C~52RO 2017 08 28.37650 01 19 33.083 +03 40 06.14 23.5r 15TY360 W84 C~52RO 2017 09 18.30477 01 18 25.454 +03 32 43.07 24.0g 15TY360 W84 C~52RO 2018 10 18.20313 01 20 17.986 +03 56 11.12 22.8z 15TY360 W84 C~52RO
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 -0.02 0.00 -0.15
2 0.0000 0.00 0.01 0.00 0.00
3 0.0000 0.00 0.06 0.00 -0.07
4 0.0623 0.00 0.00 0.00 0.06
5 0.0899 0.00 -0.02 0.00 0.07
6 0.1610 0.00 0.03 0.00 0.08
7 0.1611 0.00 -0.07 0.00 0.12
8 0.2020 0.00 -0.16 0.00 0.07
9 0.2021 0.00 0.14 0.00 -0.07
10 1.1167 0.00 0.17 0.00 -0.14
11 2.0807 0.00 -0.03 0.00 -0.03
12 2.0808 0.00 -0.03 0.00 -0.01
13 2.0808 0.00 -0.07 0.00 -0.01
14 2.0808 0.00 -0.02 0.00 -0.04
15 2.0916 0.00 -0.04 0.00 -0.01
16 2.0916 0.00 -0.02 0.00 -0.01
17 2.0917 0.00 -0.04 0.00 -0.03
18 2.0917 0.00 0.00 0.00 -0.05
19 2.1568 0.00 0.03 0.00 0.04
20 2.9706 0.00 -0.11 0.00 0.15
21 3.1535 0.00 0.09 0.00 0.03
22 3.1535 0.00 0.09 0.00 -0.07
23 3.1535 0.00 0.01 0.00 0.18
24 3.9481 0.00 0.18 0.00 0.15
25 3.9617 0.00 -0.07 0.00 0.13
26 3.9644 0.00 -0.03 0.00 -0.11
27 3.9644 0.00 0.11 0.00 0.04
28 3.9645 0.00 -0.02 0.00 -0.04
29 4.0218 0.00 0.06 0.00 -0.09
30 5.1029 0.00 -0.10 0.00 -0.11
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.
15TY360 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 56.048 56.048 56.047 ecceobj 0.430 0.430 0.430 incobj 9.977 9.977 9.977 qmin 31.117 31.081 31.076 qmax 81.512 81.505 81.398 amean 55.463 55.463 55.463 amin 54.620 54.636 54.645 amax 56.584 56.551 56.527 emean 0.428 0.428 0.428 emin 0.416 0.416 0.417 emax 0.441 0.441 0.441 imean 9.138 9.121 9.125 imin 8.722 8.714 8.713 imax 9.472 9.467 9.471 excite_mean 0.456 0.457 0.456 fracstop 1.000 1.000 1.000 cjmean 2.965 2.965 2.965 libcent 0 179.6 180.2 180.3 libamp 0 126.5 120.3 123.2 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 181.3 169.7 170.2 kozaiamp 180.0 180.0 179.9