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: 15TC361 # Created Sun Dec 22 02:10:30 2024 # Orbit generated from Bernstein formalism # Fitting 18 observations of 18 # Arc: 4.84y # First observation: 2013/11/08 # Last observation: 2018/09/11 Preliminary a, adot, b, bdot, g, gdot: 0.000099 0.022080 -0.000004 -0.000938 0.023560 0.000000 # Chi-squared of fit: 8.62 DOF: 30 RMS: 0.12 # Min/Max residuals: -0.31 0.25 # Exact a, adot, b, bdot, g, gdot: 1.335969E-05 2.208426E-02 -5.482529E-07 -9.392406E-04 2.398937E-02 1.405928E-03 # Covariance matrix: 6.8411E-13 -4.2500E-13 -9.4810E-15 1.1115E-14 -9.9766E-14 -2.4230E-12 -4.2500E-13 4.0676E-13 9.5198E-15 -1.1859E-14 -5.2014E-14 2.6015E-12 -9.4810E-15 9.5198E-15 4.0810E-13 -1.2470E-13 7.3915E-15 8.3990E-14 1.1115E-14 -1.1859E-14 -1.2470E-13 4.7847E-14 -5.1874E-15 -9.7714E-14 -9.9766E-14 -5.2014E-14 7.3915E-15 -5.1874E-15 8.3668E-13 1.0485E-12 -2.4230E-12 2.6015E-12 8.3990E-14 -9.7714E-14 1.0485E-12 2.1283E-11 # lat0 lon0 xBary yBary zBary JD0 -5.306427 15.601065 -0.495270 -0.079089 -0.853039 2456604.704858 # Heliocentric elements and errors Epoch: 2456600.5000 = 2013/11/04 Mean Anomaly: 134.31181 +/- 0.104 Argument of Peri: 102.89102 +/- 0.094 Long of Asc Node: 131.03024 +/- 0.005 Inclination: 5.72228 +/- 0.000 Eccentricity: 0.10907155 +/- 0.0001 Semi-Major Axis: 39.32972729 +/- 0.0059 Time of Perihelion: 2422988.7182 +/- 24.8 Perihelion: 35.03997304 +/- 0.0075 Aphelion: 43.61948154 +/- 0.0084 Period (y) 246.6548 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.66841450 +/- 0.0015 Ecliptic Y 11.87300359 +/- 0.0004 Ecliptic Z -3.85521528 +/- 0.0001 Ecliptic XDOT -0.00053967 +/- 0.0000 Ecliptic YDOT 0.00246616 +/- 0.0000 Ecliptic ZDOT -0.00012143 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.54116638 +/- 0.0015 Geocenter to KBO 41.68513322 +/- 0.0016 # Hcoef: 7.39
The following table shows the complete astrometric record for 15TC361. 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 (15TC361) followed by the observatory code and reference code for the source of the astrometry.
2013 11 08.20408 01 05 38.871 +01 14 29.69 23.4i 15TC361 W84 C~52Rq 2013 11 22.16362 01 04 49.985 +01 10 30.68 22.7z 15TC361 W84 C~52Rq 2015 10 10.323343 01 17 15.569 +02 18 39.51 23.9r 15TC361 568 C~2TuU 2015 10 10.356680 01 17 15.415 +02 18 38.56 23.8r 15TC361 568 C~2TuU 2015 10 10.391075 01 17 15.258 +02 18 37.62 23.9r 15TC361 568 C~2TuU 2015 10 14.303346 01 16 57.670 +02 16 48.75 24.7g 15TC361 568 C~2TuU 2015 10 14.336716 01 16 57.517 +02 16 47.80 24.8g 15TC361 568 C~2TuU 2015 10 14.370923 01 16 57.363 +02 16 46.89 24.6g 15TC361 568 C~2TuU 2016 08 16.38851 01 25 09.206 +03 07 34.95 22.8z 15TC361 W84 C~52Rq 2016 08 26.32961 01 24 46.541 +03 04 08.57 24.4r 15TC361 W84 C~52Rq 2016 10 29.15875 01 20 31.969 +02 35 47.67 22.8i 15TC361 W84 C~52Rq 2016 10 29.16423 01 20 31.963 +02 35 47.59 23.7r 15TC361 W84 C~52Rq 2016 11 05.14516 01 20 02.330 +02 33 06.35 23.2i 15TC361 W84 C~52Rq 2017 08 28.33629 01 29 22.764 +03 28 48.61 23.0i 15TC361 W84 C~52Rq 2017 08 28.33766 01 29 22.755 +03 28 48.74 23.6r 15TC361 W84 C~52Rq 2017 09 14.32779 01 28 28.348 +03 21 47.48 23.2z 15TC361 W84 C~52Rq 2018 09 11.35023 01 33 21.346 +03 48 30.90 23.2r 15TC361 W84 C~52Rq 2018 09 11.35161 01 33 21.336 +03 48 30.70 23.5i 15TC361 W84 C~52Rq
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 0.25 0.00 -0.01
2 0.0382 -768.75 -0.26 60.21 -0.22
3 1.9196 11134.33 0.04 -439.40 0.08
4 1.9197 11131.83 0.01 -439.40 0.08
5 1.9197 11129.28 0.02 -439.37 0.10
6 1.9305 10843.27 -0.02 -439.34 0.12
7 1.9305 10840.78 -0.04 -439.34 0.10
8 1.9306 10838.29 0.01 -439.30 0.11
9 2.7712 18855.46 0.06 -429.90 -0.03
10 2.7984 18459.80 -0.07 -491.90 0.21
11 2.9732 14259.14 -0.12 -612.40 -0.12
12 2.9732 14259.03 0.16 -612.44 -0.17
13 2.9923 13784.86 -0.01 -592.12 0.01
14 3.8032 22892.84 -0.05 -695.47 -0.15
15 3.8032 22892.76 -0.06 -695.30 0.03
16 3.8498 21968.40 0.01 -776.30 -0.31
17 4.8409 26700.46 0.09 -956.87 0.15
18 4.8409 26700.25 -0.04 -957.00 0.03
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.
15TC361 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.539 39.557 39.520 ecceobj 0.106 0.106 0.107 incobj 5.715 5.715 5.715 qmin 33.911 33.871 33.830 qmax 45.494 45.497 45.518 amean 39.459 39.459 39.459 amin 39.046 39.058 39.040 amax 39.911 39.893 39.924 emean 0.122 0.121 0.122 emin 0.103 0.103 0.103 emax 0.141 0.140 0.141 imean 4.590 4.556 4.626 imin 3.882 3.873 3.883 imax 5.313 5.272 5.411 excite_mean 0.146 0.145 0.147 fracstop 1.000 1.000 1.000 cjmean 3.028 3.028 3.027 libcent 0 179.3 180.2 180.4 libamp 0 75.4 66.3 83.8 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 178.4 180.9 180.2 kozaiamp 180.0 179.9 180.0