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: 13TK227 # Created Sun Dec 22 02:09:44 2024 # Orbit generated from Bernstein formalism # Fitting 25 observations of 25 # Arc: 4.19y # First observation: 2013/10/02 # Last observation: 2017/12/11 Preliminary a, adot, b, bdot, g, gdot: 0.000205 0.036307 0.000049 0.007007 0.033780 0.000000 # Chi-squared of fit: 16.49 DOF: 44 RMS: 0.14 # Min/Max residuals: -0.31 0.40 # Exact a, adot, b, bdot, g, gdot: 1.748370E-05 3.656354E-02 2.135711E-06 7.100831E-03 3.343359E-02 3.170959E-03 # Covariance matrix: 2.5605E-13 -1.7280E-13 1.3579E-14 -2.7043E-14 8.0089E-14 -9.3162E-13 -1.7280E-13 3.0608E-13 -3.0603E-14 6.2739E-14 4.9942E-14 2.2246E-12 1.3579E-14 -3.0603E-14 1.9656E-13 -7.1375E-14 1.9049E-15 -2.5138E-13 -2.7043E-14 6.2739E-14 -7.1375E-14 4.5374E-14 2.5403E-17 5.1321E-13 8.0089E-14 4.9942E-14 1.9049E-15 2.5403E-17 5.0218E-13 1.3574E-13 -9.3162E-13 2.2246E-12 -2.5138E-13 5.1321E-13 1.3574E-13 1.8124E-11 # lat0 lon0 xBary yBary zBary JD0 -15.725247 24.553258 0.270313 -0.261100 -0.927734 2456567.758268 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 102.48777 +/- 0.073 Argument of Peri: 193.26805 +/- 0.063 Long of Asc Node: 78.13469 +/- 0.001 Inclination: 18.58910 +/- 0.000 Eccentricity: 0.07937830 +/- 0.0001 Semi-Major Axis: 30.14567352 +/- 0.0027 Time of Perihelion: 2439349.5249 +/- 12.0 Perihelion: 27.75276122 +/- 0.0038 Aphelion: 32.53858582 +/- 0.0041 Period (y) 165.5182 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 27.17552383 +/- 0.0006 Ecliptic Y 12.12114670 +/- 0.0003 Ecliptic Z -8.10632637 +/- 0.0002 Ecliptic XDOT -0.00087967 +/- 0.0000 Ecliptic YDOT 0.00289142 +/- 0.0000 Ecliptic ZDOT 0.00048948 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.84061965 +/- 0.0005 Geocenter to KBO 29.91003838 +/- 0.0006 # Hcoef: 9.19
The following table shows the complete astrometric record for 13TK227. 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 (13TK227) followed by the observatory code and reference code for the source of the astrometry.
2013 10 02.25749 01 53 52.871 -05 08 16.79 24.6g 13TK227 W84 C~52Rd 2013 10 04.24360 01 53 41.332 -05 09 31.90 24.3r 13TK227 W84 C~52Rd 2013 10 04.24497 01 53 41.331 -05 09 31.98 23.7i 13TK227 W84 C~52Rd 2013 11 04.05080 01 50 31.12 -05 24 57.1 24.2 13TK227 W84 C~5i2u 2013 11 04.11428 01 50 30.70 -05 24 58.4 24.2 13TK227 W84 C~5i2u 2013 11 04.23521 01 50 29.95 -05 25 00.8 24.2 13TK227 W84 C~5i2u 2014 11 03.24676 01 57 51.167 -04 16 26.25 22.9z 13TK227 W84 C~52Rd 2015 10 10.520950 02 07 29.516 -02 56 40.06 24.1r 13TK227 568 C~2TuW 2015 10 10.539803 02 07 29.404 -02 56 40.69 24.0r 13TK227 568 C~2TuW 2015 10 10.577109 02 07 29.176 -02 56 42.00 24.0r 13TK227 568 C~2TuW 2015 10 10.603035 02 07 29.018 -02 56 42.84 24.1r 13TK227 568 C~2TuW 2015 10 14.522734 02 07 05.391 -02 58 56.67 24.9g 13TK227 568 C~2TuW 2015 10 14.541609 02 07 05.273 -02 58 57.33 25.1g 13TK227 568 C~2TuW 2015 10 14.578933 02 07 05.042 -02 58 58.47 24.9g 13TK227 568 C~2TuW 2015 10 14.604810 02 07 04.889 -02 58 59.42 25.1g 13TK227 568 C~2TuW 2016 09 10.40183 02 17 00.461 -01 31 02.07 22.5i 13TK227 W84 C~52Rd 2016 09 27.58184 02 15 42.94 -01 41 35.9 25.1g 13TK227 568 C~2eAJ 2016 09 28.47127 02 15 38.31 -01 42 08.6 25.1g 13TK227 568 C~2eAJ 2016 09 28.59154 02 15 37.66 -01 42 13.0 25.1g 13TK227 568 C~2eAJ 2016 11 27.11271 02 09 44.164 -02 06 51.37 24.0r 13TK227 W84 C~52Rd 2016 11 29.17841 02 09 33.517 -02 07 01.64 24.1r 13TK227 W84 C~52Rd 2017 10 29.26760 02 19 39.879 -00 51 11.73 24.2r 13TK227 W84 C~52Rd 2017 10 29.26898 02 19 39.863 -00 51 11.57 23.6i 13TK227 W84 C~52Rd 2017 11 16.15291 02 17 49.173 -00 57 33.54 24.3r 13TK227 W84 C~52Rd 2017 12 11.04046 02 15 39.121 -01 00 07.84 24.4r 13TK227 W84 C~52Rd
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 -0.04 0.00 0.25
2 0.0054 -187.89 0.02 -7.36 -0.05
3 0.0054 -187.94 0.11 -7.43 -0.11
4 0.0898 -3171.31 0.21 160.60 -0.27
5 0.0900 -3177.63 -0.14 161.66 -0.13
6 0.0903 -3188.94 -0.09 163.48 -0.07
7 1.0869 4450.91 0.02 1600.97 0.05
8 2.0213 14282.69 0.02 2890.92 0.03
9 2.0213 14280.89 0.06 2890.95 0.04
10 2.0214 14277.22 0.02 2890.99 0.04
11 2.0215 14274.70 0.02 2891.07 0.11
12 2.0322 13894.55 -0.11 2896.36 0.11
13 2.0323 13892.65 -0.13 2896.39 0.09
14 2.0324 13889.00 -0.10 2896.60 0.18
15 2.0324 13886.51 -0.03 2896.55 0.06
16 2.9408 24221.11 0.19 4535.14 0.10
17 2.9879 22889.31 -0.09 4371.70 0.13
18 2.9903 22811.76 -0.07 4366.76 0.08
19 2.9906 22800.95 -0.13 4366.25 0.12
20 3.1536 17276.57 -0.14 4938.61 -0.30
21 3.1593 17123.30 0.40 4987.73 -0.23
22 4.0739 27376.55 0.13 5891.70 -0.24
23 4.0740 27376.38 0.10 5891.94 -0.02
24 4.1229 25664.26 0.09 6147.95 -0.10
25 4.1911 23767.30 -0.31 6723.89 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.
13TK227 quality flag:3 Type: 1:1 1:1 1:1 axisobj 30.275 30.283 30.266 ecceobj 0.081 0.081 0.081 incobj 18.599 18.599 18.599 qmin 26.746 26.797 26.821 qmax 33.628 33.603 33.583 amean 30.110 30.110 30.110 amin 29.756 29.767 29.766 amax 30.502 30.453 30.485 emean 0.081 0.083 0.082 emin 0.061 0.062 0.061 emax 0.105 0.106 0.105 imean 16.820 16.979 16.825 imin 16.436 16.742 16.450 imax 17.410 17.410 17.410 excite_mean 0.301 0.304 0.301 fracstop 1.000 1.000 1.000 cjmean 2.911 2.909 2.911 libcent 0 65.7 65.5 66.0 libamp 0 29.5 28.3 30.4 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 180.0 181.6 180.3 kozaiamp 180.0 180.0 180.0