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: 13TL228
# Created Fri Nov 22 02:09:44 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 18 observations of 18
# Arc: 5.07y
# First observation: 2013/10/12
# Last observation: 2018/11/07
# Chi-squared of fit: 6.69 DOF: 30 RMS: 0.11
# Min/Max residuals: -0.20 0.18
# Exact a, adot, b, bdot, g, gdot:
1.427470E-05 2.193449E-02 2.612454E-06 3.356800E-03 2.320536E-02 5.307458E-03
# Covariance matrix:
3.7011E-13 -2.2050E-13 7.0985E-15 -1.9368E-14 9.3261E-15 -1.3260E-12
-2.2050E-13 4.9123E-13 -2.4668E-14 6.7514E-14 7.1640E-14 4.6221E-12
7.0985E-15 -2.4668E-14 3.2999E-13 -8.8457E-14 -6.6827E-15 -2.4988E-13
-1.9368E-14 6.7514E-14 -8.8457E-14 3.9395E-14 1.9433E-14 6.8510E-13
9.3261E-15 7.1640E-14 -6.6827E-15 1.9433E-14 5.9324E-13 1.3289E-12
-1.3260E-12 4.6221E-12 -2.4988E-13 6.8510E-13 1.3289E-12 4.6901E-11
# lat0 lon0 xBary yBary zBary JD0
0.520907 0.504515 -0.310204 0.008734 -0.948265 2456577.621218
# Heliocentric elements and errors
Epoch: 2456578.5000 = 2013/10/13
Mean Anomaly: 58.57042 +/- 0.031
Argument of Peri: 276.97070 +/- 0.024
Long of Asc Node: 357.59346 +/- 0.000
Inclination: 8.73833 +/- 0.000
Eccentricity: 0.24867509 +/- 0.0003
Semi-Major Axis: 47.68120523 +/- 0.0117
Time of Perihelion: 2437012.8132 +/- 12.7
Perihelion: 35.82407738 +/- 0.0175
Aphelion: 59.53833308 +/- 0.0210
Period (y) 329.2525 +/- 0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 44.03508875 +/- 0.0014
Ecliptic Y 0.70102298 +/- 0.0000
Ecliptic Z 0.39186202 +/- 0.0000
Ecliptic XDOT 0.00059359 +/- 0.0000
Ecliptic YDOT 0.00259185 +/- 0.0000
Ecliptic ZDOT 0.00040186 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.04225335 +/- 0.0014
Geocenter to KBO 43.09338641 +/- 0.0014
# Hcoef: 7.14
The following table shows the complete astrometric record for 13TL228. 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 (13TL228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 12.12044 00 01 01.362 +00 40 42.98 23.2z 13TL228 W84 C~52Rf 2013 10 13.06662 00 00 57.522 +00 40 19.86 22.9z 13TL228 W84 C~52Rf 2013 10 13.10922 00 00 57.360 +00 40 18.83 23.6i 13TL228 W84 C~52Rf 2013 11 23.08855 23 58 53.521 +00 27 55.95 23.3r 13TL228 W84 C~52Rf 2015 11 07.07175 00 08 00.107 +01 51 30.68 23.6r 13TL228 W84 C~52Rf 2016 09 11.20101 00 15 52.481 +02 53 11.96 23.4i 13TL228 W84 C~52Rf 2016 10 02.17338 00 14 23.850 +02 44 22.42 23.5r 13TL228 W84 C~52Rf 2016 10 02.17474 00 14 23.850 +02 44 22.31 23.7g 13TL228 W84 C~52Rf 2017 08 22.31219 00 21 15.463 +03 39 05.92 24.0r 13TL228 W84 C~52Rf 2017 08 22.31356 00 21 15.464 +03 39 06.09 23.7i 13TL228 W84 C~52Rf 2017 08 22.31495 00 21 15.461 +03 39 05.72 23.9g 13TL228 W84 C~52Rf 2017 08 28.26615 00 20 55.085 +03 37 12.30 24.1g 13TL228 W84 C~52Rf 2017 08 28.26753 00 20 55.087 +03 37 12.17 23.6r 13TL228 W84 C~52Rf 2017 09 27.17317 00 18 55.068 +03 25 30.51 23.6r 13TL228 W84 C~52Rf 2017 09 27.19103 00 18 54.991 +03 25 29.79 23.6i 13TL228 W84 C~52Rf 2017 09 27.19240 00 18 54.998 +03 25 29.94 24.0g 13TL228 W84 C~52Rf 2018 10 18.19329 00 21 35.285 +03 55 10.96 23.3i 13TL228 W84 C~52Rf 2018 11 07.12913 00 20 23.519 +03 47 44.38 23.7r 13TL228 W84 C~52Rf
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 0.15 0.00 -0.01
2 0.0026 0.00 -0.20 0.00 0.02
3 0.0027 0.00 -0.01 0.00 0.03
4 0.1149 0.00 0.03 0.00 -0.01
5 2.0697 0.00 -0.00 0.00 0.12
6 2.9160 0.00 0.14 0.00 -0.02
7 2.9735 0.00 -0.02 0.00 0.03
8 2.9735 0.00 0.07 0.00 -0.04
9 3.8609 0.00 0.07 0.00 -0.05
10 3.8609 0.00 0.15 0.00 0.14
11 3.8609 0.00 0.18 0.00 -0.20
12 3.8772 0.00 -0.17 0.00 0.02
13 3.8772 0.00 -0.06 0.00 -0.08
14 3.9591 0.00 -0.15 0.00 0.07
15 3.9591 0.00 -0.14 0.00 -0.20
16 3.9591 0.00 0.05 0.00 -0.01
17 5.0159 0.00 -0.08 0.00 0.18
18 5.0705 0.00 0.08 0.00 0.06
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.
13TL228 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.995 47.995 47.994 ecceobj 0.251 0.251 0.251 incobj 8.710 8.710 8.710 qmin 34.535 34.535 34.535 qmax 61.644 61.644 61.647 amean 47.798 47.798 47.798 amin 47.306 47.306 47.306 amax 48.409 48.410 48.409 emean 0.252 0.252 0.252 emin 0.224 0.224 0.224 emax 0.276 0.276 0.276 imean 9.448 9.448 9.447 imin 8.622 8.622 8.621 imax 10.645 10.646 10.645 excite_mean 0.301 0.301 0.301 fracstop 1.000 1.000 1.000 cjmean 3.035 3.035 3.035 libcent 0 77.7 77.7 77.7 libamp 0 25.4 25.4 25.4 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 183.7 183.6 183.6 kozaiamp 180.0 179.9 180.0