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: 13TD229 # Created Sat Apr 20 01:15:27 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 4.91y # First observation: 2013/10/13 # Last observation: 2018/09/11 Preliminary a, adot, b, bdot, g, gdot: 0.000023 0.022782 0.000000 -0.000034 0.023726 0.000000 # Chi-squared of fit: 4.19 DOF: 24 RMS: 0.09 # Min/Max residuals: -0.22 0.22 # Exact a, adot, b, bdot, g, gdot: 1.494337E-05 2.296411E-02 -3.765959E-07 -3.247391E-05 2.381954E-02 1.924912E-03 # Covariance matrix: 4.4362E-13 -2.2643E-13 -1.6770E-15 3.0121E-17 1.6403E-13 -9.2109E-13 -2.2643E-13 3.7966E-13 -1.4296E-15 7.3312E-17 2.2440E-13 3.4438E-12 -1.6770E-15 -1.4296E-15 3.1643E-13 -9.3486E-14 -8.4388E-15 -2.7224E-14 3.0121E-17 7.3312E-17 -9.3486E-14 4.0213E-14 2.4555E-16 1.0783E-15 1.6403E-13 2.2440E-13 -8.4388E-15 2.4555E-16 9.9226E-13 3.7091E-12 -9.2109E-13 3.4438E-12 -2.7224E-14 1.0783E-15 3.7091E-12 3.7369E-11 # lat0 lon0 xBary yBary zBary JD0 -3.802135 10.159063 -0.164254 -0.065120 -0.981641 2456578.650868 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 73.13295 +/- 0.061 Argument of Peri: 185.81673 +/- 0.085 Long of Asc Node: 101.61290 +/- 0.008 Inclination: 3.71604 +/- 0.000 Eccentricity: 0.08692399 +/- 0.0003 Semi-Major Axis: 43.75288165 +/- 0.0065 Time of Perihelion: 2435096.2001 +/- 17.2 Perihelion: 39.94970645 +/- 0.0128 Aphelion: 47.55605686 +/- 0.0134 Period (y) 289.4131 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.17197559 +/- 0.0017 Ecliptic Y 7.72685739 +/- 0.0003 Ecliptic Z -2.78394545 +/- 0.0001 Ecliptic XDOT -0.00025467 +/- 0.0000 Ecliptic YDOT 0.00263559 +/- 0.0000 Ecliptic ZDOT -0.00001826 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.96428985 +/- 0.0017 Geocenter to KBO 41.98233899 +/- 0.0018 # Hcoef: 7.02
The following table shows the complete astrometric record for 13TD229. 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 (13TD229) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.15009 00 43 18.640 +00 31 30.83 23.1i 13TD229 W84 C~52Rg 2013 11 08.18263 00 41 34.811 +00 21 30.22 23.5r 13TD229 W84 C~52Rg 2013 11 08.18400 00 41 34.799 +00 21 30.09 22.8i 13TD229 W84 C~52Rg 2014 10 29.21054 00 47 02.246 +00 55 39.76 23.7r 13TD229 W84 C~52Rg 2014 10 29.22180 00 47 02.205 +00 55 39.26 22.8i 13TD229 W84 C~52Rg 2014 11 14.13269 00 46 04.488 +00 50 25.16 23.8r 13TD229 W84 C~52Rg 2016 09 01.37155 01 00 33.728 +02 21 41.03 22.5i 13TD229 W84 C~52Rg 2016 09 01.37293 01 00 33.724 +02 21 40.80 23.2r 13TD229 W84 C~52Rg 2016 11 07.19299 00 56 00.626 +01 53 02.77 22.9z 13TD229 W84 C~52Rg 2016 11 07.19435 00 56 00.612 +01 53 02.77 23.3i 13TD229 W84 C~52Rg 2016 11 18.09231 00 55 23.424 +01 49 49.58 23.7r 13TD229 W84 C~52Rg 2017 08 28.28539 01 05 32.400 +02 53 18.89 23.3i 13TD229 W84 C~52Rg 2017 08 28.28676 01 05 32.401 +02 53 18.94 23.2r 13TD229 W84 C~52Rg 2017 09 24.28844 01 03 53.105 +02 41 52.22 22.9i 13TD229 W84 C~52Rg 2018 09 11.33485 01 09 30.541 +03 17 36.71 23.6r 13TD229 W84 C~52Rg
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 0.06 0.00 0.07
2 0.0713 -1668.24 0.01 57.21 -0.00
3 0.0713 -1668.46 -0.13 57.16 -0.06
4 1.0433 3653.74 0.07 20.37 0.03
5 1.0433 3652.98 0.04 20.15 -0.22
6 1.0869 2733.23 -0.03 69.93 0.03
7 2.8863 16907.43 0.04 17.80 0.17
8 2.8863 16907.29 -0.02 17.61 -0.01
9 3.0692 12445.12 0.13 32.94 -0.09
10 3.0693 12444.93 0.02 33.02 -0.02
11 3.0991 11854.18 -0.12 72.96 0.22
12 3.8744 21811.62 -0.11 23.36 -0.03
13 3.8744 21811.65 -0.00 23.41 0.02
14 3.9484 20157.06 -0.07 -30.69 0.04
15 4.9122 25715.96 0.10 -19.27 -0.16
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.
13TD229 quality flag:2 Type: SCATNEAR CLASSICAL SCATNEAR axisobj 44.016 44.037 43.996 ecceobj 0.090 0.090 0.090 incobj 3.717 3.717 3.717 qmin 37.125 39.001 37.967 qmax 50.897 48.932 49.827 amean 43.736 43.810 43.697 amin 43.256 43.446 43.290 amax 44.235 44.218 44.183 emean 0.121 0.086 0.083 emin 0.082 0.061 0.040 emax 0.151 0.108 0.129 imean 2.225 2.226 2.211 imin 1.033 1.159 1.023 imax 3.573 3.147 3.243 excite_mean 0.128 0.095 0.093 fracstop 1.000 1.000 1.000 cjmean 3.078 3.088 3.087 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 177.9 175.1 190.0 kozaiamp 179.9 180.0 180.0