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: 13TT187 # Created Thu Apr 25 01:15:13 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 40 observations of 40 # Arc: 9.15y # First observation: 2013/10/03 # Last observation: 2022/11/28 # Chi-squared of fit: 14.66 DOF: 74 RMS: 0.11 # Min/Max residuals: -0.25 0.30 # Exact a, adot, b, bdot, g, gdot: 1.713792E-05 2.604816E-02 -4.692731E-06 -7.444593E-03 2.588400E-02 1.661429E-03 # Covariance matrix: 2.0464E-13 -7.4621E-14 -2.5325E-14 1.6701E-14 3.8126E-14 -2.6403E-13 -7.4621E-14 5.2544E-14 1.8287E-14 -1.3307E-14 4.0730E-14 2.0684E-13 -2.5325E-14 1.8287E-14 1.1927E-13 -2.8972E-14 5.5165E-15 8.7545E-14 1.6701E-14 -1.3307E-14 -2.8972E-14 1.1353E-14 -8.1475E-15 -6.2262E-14 3.8126E-14 4.0730E-14 5.5165E-15 -8.1475E-15 2.3842E-13 1.1602E-13 -2.6403E-13 2.0684E-13 8.7545E-14 -6.2262E-14 1.1602E-13 9.7148E-13 # lat0 lon0 xBary yBary zBary JD0 -11.086368 24.103357 0.245432 -0.186419 -0.951983 2456568.793368 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 23.53992 +/- 0.016 Argument of Peri: 185.03467 +/- 0.021 Long of Asc Node: 170.61260 +/- 0.000 Inclination: 19.26649 +/- 0.000 Eccentricity: 0.11568661 +/- 0.0001 Semi-Major Axis: 44.15963862 +/- 0.0036 Time of Perihelion: 2449559.7735 +/- 4.8 Perihelion: 39.05095984 +/- 0.0041 Aphelion: 49.26831741 +/- 0.0048 Period (y) 293.4583 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.59229028 +/- 0.0007 Ecliptic Y 15.65819036 +/- 0.0003 Ecliptic Z -7.42906688 +/- 0.0001 Ecliptic XDOT -0.00111215 +/- 0.0000 Ecliptic YDOT 0.00252222 +/- 0.0000 Ecliptic ZDOT -0.00080640 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.58760492 +/- 0.0006 Geocenter to KBO 38.63389488 +/- 0.0007 # Hcoef: 7.18
The following table shows the complete astrometric record for 13TT187. 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 (13TT187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.29259 01 45 30.015 -00 58 28.15 24.1g 13TT187 W84 C~4yRE 2013 10 03.29259 01 45 30.01 -00 58 28.1 24.0g 13TT187 W84 C~3clQ 2013 11 04.06585 01 43 02.27 -01 14 47.6 13TT187 W84 C~3clQ 2013 11 04.12882 01 43 01.98 -01 14 49.2 23.0r 13TT187 W84 C~3clQ 2013 11 04.21126 01 43 01.60 -01 14 51.3 13TT187 W84 C~3clQ 2014 10 01.33657 01 51 50.009 -00 48 32.95 22.6r 13TT187 W84 C~4yRE 2014 10 01.33657 01 51 50.01 -00 48 33.0 22.6r 13TT187 W84 C~3clQ 2014 10 02.33823 01 51 45.666 -00 49 08.07 23.4g 13TT187 W84 C~4yRE 2014 10 02.33960 01 51 45.652 -00 49 07.86 23.2r 13TT187 W84 C~4yRE 2014 10 02.33960 01 51 45.65 -00 49 07.9 23.3r 13TT187 W84 C~3clQ 2016 01 12.06145 01 52 13.382 -01 03 41.47 22.9r 13TT187 W84 C~4yRE 2016 01 12.06145 01 52 13.38 -01 03 41.5 23.0r 13TT187 W84 C~3clQ 2016 01 12.06283 01 52 13.379 -01 03 41.64 24.0g 13TT187 W84 C~4yRE 2016 09 09.39335 02 05 23.528 -00 18 55.20 23.0i 13TT187 W84 C~4yRE 2016 09 09.39473 02 05 23.537 -00 18 55.38 23.7g 13TT187 W84 C~4yRE 2016 11 03.17687 02 01 31.990 -00 48 40.50 23.3r 13TT187 W84 C~4yRE 2016 11 03.17687 02 01 31.99 -00 48 40.6 23.5r 13TT187 W84 C~3clQ 2016 11 03.17825 02 01 31.977 -00 48 40.41 23.7g 13TT187 W84 C~4yRE 2016 11 05.23333 02 01 22.371 -00 49 32.19 22.8i 13TT187 W84 C~4yRE 2016 11 05.23333 02 01 22.37 -00 49 32.2 22.9i 13TT187 W84 C~3clQ 2016 11 28.12027 01 59 44.449 -00 56 40.85 22.9i 13TT187 W84 C~4yRE 2016 11 28.12027 01 59 44.45 -00 56 40.8 22.9i 13TT187 W84 C~3clQ 2016 11 28.12449 01 59 44.428 -00 56 40.84 22.8r 13TT187 W84 C~4yRE 2016 11 28.12449 01 59 44.43 -00 56 40.8 23.1r 13TT187 W84 C~3clQ 2016 11 28.12586 01 59 44.434 -00 56 40.95 23.6g 13TT187 W84 C~4yRE 2016 11 28.12586 01 59 44.43 -00 56 40.9 23.6g 13TT187 W84 C~3clQ 2016 11 30.14657 01 59 36.967 -00 57 04.13 22.0z 13TT187 W84 C~4yRE 2017 10 22.20898 02 08 36.219 -00 34 21.03 24.6g 13TT187 W84 C~4yRE 2017 10 29.26209 02 08 02.641 -00 37 46.44 22.7r 13TT187 W84 C~4yRE 2017 10 30.21674 02 07 58.111 -00 38 12.62 22.8z 13TT187 W84 C~4yRE 2017 11 16.16821 02 06 39.661 -00 44 52.81 23.0i 13TT187 W84 C~4yRE 2017 11 16.16958 02 06 39.642 -00 44 52.68 23.9g 13TT187 W84 C~4yRE 2017 11 22.18019 02 06 13.839 -00 46 39.42 23.2r 13TT187 W84 C~4yRE 2017 11 22.18292 02 06 13.812 -00 46 39.43 24.1g 13TT187 W84 C~4yRE 2018 10 10.32146 02 15 37.208 -00 19 17.36 22.7i 13TT187 W84 C~4yRE 2018 10 10.32283 02 15 37.210 -00 19 17.24 23.5g 13TT187 W84 C~4yRE 2018 10 20.20495 02 14 51.894 -00 24 35.73 22.4z 13TT187 W84 C~4yRE 2022 11 28.243430 02 35 59.475 -00 04 57.70 23.2G 13TT187 G37 C~675S 2022 11 28.294300 02 35 59.242 -00 04 58.44 13TT187 G37 C~675S 2022 11 28.343740 02 35 59.037 -00 04 59.04 13TT187 G37 C~675S
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 -0.25 0.00 -0.06
2 0.0000 0.00 -0.17 0.00 -0.11
3 0.0870 0.00 0.03 0.00 0.03
4 0.0872 0.00 0.06 0.00 0.02
5 0.0874 0.00 0.09 0.00 -0.02
6 0.9940 0.00 0.15 0.00 -0.09
7 0.9940 0.00 0.13 0.00 -0.04
8 0.9967 0.00 0.13 0.00 -0.21
9 0.9967 0.00 0.01 0.00 0.04
10 0.9967 0.00 -0.02 0.00 0.00
11 2.2745 0.00 0.02 0.00 -0.04
12 2.2745 0.00 0.05 0.00 -0.01
13 2.2745 0.00 0.00 0.00 -0.21
14 2.9353 0.00 -0.02 0.00 -0.01
15 2.9353 0.00 0.18 0.00 -0.15
16 3.0852 0.00 -0.08 0.00 -0.07
17 3.0852 0.00 -0.08 0.00 0.03
18 3.0852 0.00 -0.18 0.00 0.16
19 3.0909 0.00 -0.09 0.00 0.05
20 3.0909 0.00 -0.07 0.00 0.06
21 3.1535 0.00 0.04 0.00 0.02
22 3.1535 0.00 0.02 0.00 -0.03
23 3.1535 0.00 -0.02 0.00 0.07
24 3.1535 0.00 -0.05 0.00 0.03
25 3.1535 0.00 0.06 0.00 -0.01
26 3.1535 0.00 0.12 0.00 -0.06
27 3.1591 0.00 0.15 0.00 0.16
28 4.0518 0.00 0.04 0.00 0.30
29 4.0711 0.00 -0.06 0.00 0.05
30 4.0737 0.00 0.09 0.00 0.21
31 4.1201 0.00 0.05 0.00 0.04
32 4.1201 0.00 -0.15 0.00 0.20
33 4.1366 0.00 0.07 0.00 0.01
34 4.1366 0.00 -0.17 0.00 0.04
35 5.0186 0.00 0.02 0.00 0.01
36 5.0186 0.00 0.15 0.00 0.17
37 5.0456 0.00 -0.08 0.00 -0.14
38 9.1525 0.00 0.08 0.00 -0.10
39 9.1526 0.00 -0.10 0.00 -0.17
40 9.1528 0.00 0.04 0.00 -0.12
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.
13TT187 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.419 44.419 44.419 ecceobj 0.122 0.122 0.122 incobj 19.214 19.214 19.214 qmin 38.117 38.110 38.116 qmax 50.407 50.406 50.408 amean 44.092 44.092 44.092 amin 43.740 43.733 43.740 amax 44.488 44.492 44.486 emean 0.119 0.119 0.119 emin 0.106 0.106 0.106 emax 0.134 0.134 0.134 imean 18.758 18.758 18.758 imin 18.303 18.304 18.303 imax 19.184 19.183 19.185 excite_mean 0.343 0.343 0.343 fracstop 1.000 1.000 1.000 cjmean 2.958 2.958 2.958 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 180.2 180.1 180.2 kozaiamp 180.0 179.9 179.9