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: 13TL227 # Created Fri Apr 26 01:15:25 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 11 observations of 11 # Arc: 9.07y # First observation: 2013/10/02 # Last observation: 2022/10/29 # Chi-squared of fit: 6.04 DOF: 16 RMS: 0.13 # Min/Max residuals: -0.32 0.21 # Exact a, adot, b, bdot, g, gdot: 1.671587E-05 2.818264E-02 3.746556E-06 5.697030E-03 2.718342E-02 -2.076478E-04 # Covariance matrix: 4.4814E-13 -1.2255E-13 1.1719E-14 -1.6599E-14 1.3459E-13 -3.1981E-13 -1.2255E-13 2.3060E-13 -5.4969E-14 4.6163E-14 3.3566E-13 8.1116E-13 1.1719E-14 -5.4969E-14 3.0541E-13 -5.2401E-14 -1.0154E-13 -2.0121E-13 -1.6599E-14 4.6163E-14 -5.2401E-14 2.0086E-14 7.1455E-14 1.6998E-13 1.3459E-13 3.3566E-13 -1.0154E-13 7.1455E-14 1.0416E-12 1.1981E-12 -3.1981E-13 8.1116E-13 -2.0121E-13 1.6998E-13 1.1981E-12 2.9910E-12 # lat0 lon0 xBary yBary zBary JD0 -20.573753 36.143505 0.458149 -0.312636 -0.833232 2456567.776528 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 345.27639 +/- 0.038 Argument of Peri: 314.79991 +/- 0.044 Long of Asc Node: 95.60185 +/- 0.000 Inclination: 22.86114 +/- 0.000 Eccentricity: 0.07065134 +/- 0.0001 Semi-Major Axis: 40.36939945 +/- 0.0057 Time of Perihelion: 2460400.1739 +/- 21.5 Perihelion: 37.51724730 +/- 0.0068 Aphelion: 43.22155161 +/- 0.0074 Period (y) 256.4996 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.80060573 +/- 0.0010 Ecliptic Y 20.47145832 +/- 0.0008 Ecliptic Z -12.92737364 +/- 0.0005 Ecliptic XDOT -0.00153332 +/- 0.0000 Ecliptic YDOT 0.00239823 +/- 0.0000 Ecliptic ZDOT 0.00054468 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.62543524 +/- 0.0009 Geocenter to KBO 36.78717469 +/- 0.0014 # Hcoef: 8.30
The following table shows the complete astrometric record for 13TL227. 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 (13TL227) followed by the observatory code and reference code for the source of the astrometry.
2013 10 02.27575 02 42 07.285 -05 53 54.41 23.7r 13TL227 W84 C~52Rd 2013 10 04.28641 02 41 58.676 -05 55 01.94 24.0r 13TL227 W84 C~52Rd 2013 12 01.22254 02 37 09.022 -06 13 34.11 24.1r 13TL227 W84 C~52Rd 2014 09 04.36402 02 49 17.314 -04 47 45.59 23.6r 13TL227 W84 C~52Rd 2016 11 10.28539 02 56 02.045 -03 40 44.54 24.1r 13TL227 W84 C~52Rd 2016 12 01.21458 02 54 14.650 -03 44 05.77 24.0r 13TL227 W84 C~52Rd 2016 12 05.19893 02 53 55.892 -03 44 08.92 24.3r 13TL227 W84 C~52Rd 2017 12 23.16148 02 58 22.980 -02 52 06.22 24.3r 13TL227 W84 C~52Rd 2022 10 29.399790 03 31 20.252 +01 27 40.45 23.8G 13TL227 G37 C~5z0W 2022 10 29.448290 03 31 19.970 +01 27 39.44 13TL227 G37 C~5z0W 2022 10 29.496060 03 31 19.761 +01 27 38.34 13TL227 G37 C~5z0W
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 -0.03 0.00 -0.11
2 0.0055 0.00 0.09 0.00 0.02
3 0.1641 0.00 0.07 0.00 -0.04
4 0.9229 0.00 -0.05 0.00 -0.18
5 3.1075 0.00 0.09 0.00 0.21
6 3.1648 0.00 -0.00 0.00 0.05
7 3.1757 0.00 -0.10 0.00 0.15
8 4.2242 0.00 -0.13 0.00 0.06
9 9.0736 0.00 0.18 0.00 -0.09
10 9.0737 0.00 -0.32 0.00 -0.02
11 9.0738 0.00 0.20 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.
13TL227 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.581 40.581 40.581 ecceobj 0.074 0.074 0.074 incobj 22.875 22.875 22.875 qmin 36.791 36.790 36.790 qmax 43.990 43.990 43.980 amean 40.280 40.280 40.280 amin 39.971 39.971 39.960 amax 40.609 40.609 40.605 emean 0.069 0.069 0.069 emin 0.055 0.055 0.056 emax 0.084 0.084 0.084 imean 21.126 21.126 21.126 imin 20.481 20.481 20.481 imax 21.746 21.746 21.747 excite_mean 0.367 0.367 0.367 fracstop 1.000 1.000 1.000 cjmean 2.900 2.900 2.900 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 179.6 179.6 179.6 kozaiamp 180.0 180.0 179.9