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: 13TM228 # Created Tue Apr 1 01:09:48 2025 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 4.93y # First observation: 2013/10/13 # Last observation: 2018/09/17 Preliminary a, adot, b, bdot, g, gdot: 0.000144 0.026275 0.000003 -0.000529 0.026763 0.000000 # Chi-squared of fit: 5.52 DOF: 24 RMS: 0.11 # Min/Max residuals: -0.35 0.19 # Exact a, adot, b, bdot, g, gdot: 1.647774E-05 2.626595E-02 -1.264750E-06 -5.260240E-04 2.560163E-02 8.346490E-06 # Covariance matrix: 4.8876E-13 -2.4090E-13 -1.3743E-15 2.3592E-15 1.8637E-13 -9.4935E-13 -2.4090E-13 3.3885E-13 3.2114E-15 -6.0714E-15 1.6047E-13 2.4734E-12 -1.3743E-15 3.2114E-15 3.6702E-13 -9.7976E-14 2.3746E-15 2.6753E-14 2.3592E-15 -6.0714E-15 -9.7976E-14 3.5726E-14 -5.6412E-15 -5.1532E-14 1.8637E-13 1.6047E-13 2.3746E-15 -5.6412E-15 1.3482E-12 2.3549E-12 -9.4935E-13 2.4734E-12 2.6753E-14 -5.1532E-14 2.3549E-12 2.1041E-11 # lat0 lon0 xBary yBary zBary JD0 -0.116992 -3.300734 -0.387685 -0.001766 -0.919003 2456578.585128 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 6.44889 +/- 0.144 Argument of Peri: 178.31056 +/- 0.165 Long of Asc Node: 171.55052 +/- 0.004 Inclination: 1.15005 +/- 0.000 Eccentricity: 0.06553434 +/- 0.0001 Semi-Major Axis: 42.76220007 +/- 0.0082 Time of Perihelion: 2454740.8388 +/- 40.8 Perihelion: 39.95980770 +/- 0.0097 Aphelion: 45.56459245 +/- 0.0106 Period (y) 279.6393 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.93447063 +/- 0.0018 Ecliptic Y -1.91174736 +/- 0.0001 Ecliptic Z -0.07983482 +/- 0.0000 Ecliptic XDOT 0.00015634 +/- 0.0000 Ecliptic YDOT 0.00280274 +/- 0.0000 Ecliptic ZDOT -0.00005611 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.98028384 +/- 0.0018 Geocenter to KBO 39.06000645 +/- 0.0018 # Hcoef: 7.63
The following table shows the complete astrometric record for 13TM228. 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 (13TM228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.08435 23 48 04.222 -01 25 10.96 23.1i 13TM228 W84 C~52Rf 2013 10 28.05379 23 47 06.935 -01 31 26.20 23.6r 13TM228 W84 C~52Rf 2013 11 23.08533 23 46 02.221 -01 38 30.22 23.7r 13TM228 W84 C~52Rf 2014 10 21.20581 23 53 06.079 -00 54 29.74 23.7r 13TM228 W84 C~52Rf 2015 11 07.05482 23 57 40.685 -00 26 44.66 23.0i 13TM228 W84 C~52Rf 2016 09 11.19828 00 07 08.937 +00 33 06.47 23.5i 13TM228 W84 C~52Rf 2016 09 22.11486 00 06 19.046 +00 27 38.35 23.9r 13TM228 W84 C~52Rf 2016 10 02.16787 00 05 32.583 +00 22 33.32 23.4r 13TM228 W84 C~52Rf 2016 12 05.08483 00 02 15.134 +00 01 03.39 23.7r 13TM228 W84 C~52Rf 2017 09 27.18691 00 11 30.163 +00 59 21.37 23.3r 13TM228 W84 C~52Rf 2017 09 27.18828 00 11 30.144 +00 59 21.30 23.4i 13TM228 W84 C~52Rf 2017 10 17.18782 00 10 00.128 +00 49 32.13 23.8r 13TM228 W84 C~52Rf 2017 10 29.14809 00 09 12.253 +00 44 19.55 23.4i 13TM228 W84 C~52Rf 2018 09 17.29376 00 17 50.368 +01 38 34.57 23.5i 13TM228 W84 C~52Rf 2018 09 17.29928 00 17 50.353 +01 38 34.59 23.1i 13TM228 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 -0.05 0.00 0.19
2 0.0410 -937.40 0.08 -3.18 -0.01
3 0.1123 -1996.39 -0.05 -7.03 -0.12
4 1.0216 4886.70 0.10 -109.74 0.15
5 2.0670 9333.40 -0.09 -220.51 -0.35
6 2.9134 18626.21 -0.01 -318.09 -0.02
7 2.9433 17802.73 0.02 -321.37 0.10
8 2.9708 17036.55 -0.01 -323.89 0.01
9 3.1458 13788.02 -0.05 -328.63 -0.14
10 3.9565 22890.31 0.06 -432.33 0.04
11 3.9565 22890.01 -0.13 -432.28 0.08
12 4.0112 21400.00 0.12 -435.88 0.07
13 4.0440 20608.74 0.04 -437.01 -0.04
14 4.9287 29156.11 -0.13 -539.97 -0.04
15 4.9287 29155.91 0.10 -539.87 0.07
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.
13TM228 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.009 43.034 42.984 ecceobj 0.071 0.072 0.071 incobj 1.147 1.147 1.147 qmin 38.612 38.604 38.566 qmax 47.334 47.274 47.246 amean 42.817 42.842 42.793 amin 42.474 42.502 42.453 amax 43.192 43.207 43.161 emean 0.074 0.075 0.074 emin 0.050 0.049 0.049 emax 0.096 0.095 0.095 imean 2.938 2.931 2.944 imin 1.490 1.490 1.490 imax 4.025 4.001 4.038 excite_mean 0.091 0.091 0.090 fracstop 1.000 1.000 1.000 cjmean 3.077 3.078 3.077 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 183.4 183.9 183.3 kozaiamp 180.0 180.0 180.0