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: 13TM227 # Created Fri Nov 22 02:09:43 2024 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 3.15y # First observation: 2013/10/03 # Last observation: 2016/11/25 Preliminary a, adot, b, bdot, g, gdot: 0.000195 0.039244 -0.000000 -0.004683 0.033399 0.000000 # Chi-squared of fit: 3.64 DOF: 12 RMS: 0.11 # Min/Max residuals: -0.25 0.24 # Exact a, adot, b, bdot, g, gdot: 1.947718E-05 3.914764E-02 -1.371144E-06 -4.662037E-03 3.245381E-02 -1.965224E-03 # Covariance matrix: 5.4770E-13 2.6384E-12 9.1682E-15 -3.3789E-13 1.8548E-12 2.3870E-11 2.6384E-12 3.5106E-11 1.1814E-13 -4.2899E-12 2.1233E-11 3.0330E-10 9.1682E-15 1.1814E-13 3.0111E-13 -1.1647E-13 7.1169E-14 1.0225E-12 -3.3789E-13 -4.2899E-12 -1.1647E-13 6.0086E-13 -2.6139E-12 -3.7152E-11 1.8548E-12 2.1233E-11 7.1169E-14 -2.6139E-12 1.4021E-11 1.8469E-10 2.3870E-11 3.0330E-10 1.0225E-12 -3.7152E-11 1.8469E-10 2.6266E-09 # lat0 lon0 xBary yBary zBary JD0 -0.897476 7.266642 -0.042608 -0.015562 -0.999667 2456568.594378 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 348.37226 +/- 0.277 Argument of Peri: 204.90336 +/- 0.426 Long of Asc Node: 180.08512 +/- 0.001 Inclination: 6.84374 +/- 0.000 Eccentricity: 0.19821918 +/- 0.0005 Semi-Major Axis: 39.37060756 +/- 0.0153 Time of Perihelion: 2459474.9005 +/- 69.3 Perihelion: 31.56659788 +/- 0.0238 Aphelion: 47.17461724 +/- 0.0274 Period (y) 247.0395 +/- 0.14 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.54765300 +/- 0.0035 Ecliptic Y 4.06873525 +/- 0.0004 Ecliptic Z -0.48269243 +/- 0.0001 Ecliptic XDOT -0.00059445 +/- 0.0000 Ecliptic YDOT 0.00325292 +/- 0.0000 Ecliptic ZDOT -0.00039051 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.81260769 +/- 0.0035 Geocenter to KBO 30.81302705 +/- 0.0036 # Hcoef: 8.34
The following table shows the complete astrometric record for 13TM227. 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 (13TM227) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.09360 00 28 06.589 +02 03 34.08 23.2g 13TM227 W84 C~52Rd 2013 10 04.15303 00 28 00.627 +02 02 53.22 23.0g 13TM227 W84 C~52Rd 2013 10 13.09336 00 27 11.013 +01 57 10.46 22.9z 13TM227 W84 C~52Rd 2013 10 13.12065 00 27 10.864 +01 57 09.55 23.3i 13TM227 W84 C~52Rd 2013 11 08.16809 00 25 04.359 +01 42 42.51 23.9r 13TM227 W84 C~52Rd 2016 09 05.32440 00 56 40.205 +04 14 58.69 23.0r 13TM227 W84 C~52Rd 2016 09 05.32577 00 56 40.186 +04 14 58.80 24.0g 13TM227 W84 C~52Rd 2016 09 09.28468 00 56 21.594 +04 12 44.77 23.4i 13TM227 W84 C~52Rd 2016 11 25.07037 00 49 54.804 +03 29 32.27 23.7r 13TM227 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 -0.08 0.00 -0.19
2 0.0029 -98.24 0.01 -2.25 0.17
3 0.0274 -916.91 0.01 -23.44 -0.06
4 0.0275 -919.32 0.09 -23.39 0.03
5 0.0988 -3004.39 -0.03 -70.53 0.05
6 2.9247 26852.12 0.02 -2823.91 -0.25
7 2.9247 26851.89 -0.09 -2823.69 -0.04
8 2.9355 26538.37 0.07 -2838.98 0.24
9 3.1457 20114.91 -0.00 -2966.91 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.
13TM227 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.590 39.612 39.568 ecceobj 0.202 0.203 0.202 incobj 6.827 6.826 6.827 qmin 30.947 31.013 30.803 qmax 48.642 48.667 48.828 amean 39.457 39.457 39.458 amin 38.907 38.907 38.869 amax 40.076 40.080 40.103 emean 0.192 0.194 0.194 emin 0.170 0.174 0.169 emax 0.216 0.214 0.220 imean 7.422 7.272 7.051 imin 6.460 6.455 5.976 imax 8.463 8.184 8.067 excite_mean 0.232 0.232 0.230 fracstop 1.000 1.000 1.000 cjmean 2.990 2.990 2.992 libcent 0 179.2 178.8 180.0 libamp 0 132.3 130.0 134.8 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 172.0 166.5 154.1 kozaiamp 180.0 180.0 179.9