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: 13TW187 # Created Sun Nov 24 02:09:40 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 24 observations of 24 # Arc: 6.97y # First observation: 2013/10/04 # Last observation: 2020/09/21 # Chi-squared of fit: 8.32 DOF: 42 RMS: 0.10 # Min/Max residuals: -0.31 0.19 # Exact a, adot, b, bdot, g, gdot: 1.563742E-05 2.503829E-02 -2.696255E-07 1.181425E-04 2.495435E-02 8.646401E-04 # Covariance matrix: 2.0906E-13 -1.0015E-13 4.7635E-17 -2.4353E-16 1.3582E-13 -3.5934E-13 -1.0015E-13 1.0099E-13 -2.0598E-16 3.7199E-16 -3.8334E-14 5.2748E-13 4.7635E-17 -2.0598E-16 1.2265E-13 -3.0597E-14 -3.2623E-16 -1.5440E-15 -2.4353E-16 3.7199E-16 -3.0597E-14 1.5328E-14 3.8235E-17 2.4255E-15 1.3582E-13 -3.8334E-14 -3.2623E-16 3.8235E-17 3.8336E-13 5.2100E-15 -3.5934E-13 5.2748E-13 -1.5440E-15 2.4255E-15 5.2100E-15 3.4070E-12 # lat0 lon0 xBary yBary zBary JD0 -0.266122 7.831791 -0.050946 -0.004536 -0.999052 2456569.653808 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 32.92020 +/- 0.058 Argument of Peri: 279.60770 +/- 0.072 Long of Asc Node: 51.49319 +/- 0.028 Inclination: 0.37668 +/- 0.000 Eccentricity: 0.05865478 +/- 0.0001 Semi-Major Axis: 43.14948570 +/- 0.0050 Time of Perihelion: 2447103.2939 +/- 16.7 Perihelion: 40.61856228 +/- 0.0062 Aphelion: 45.68040912 +/- 0.0067 Period (y) 283.4469 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.68123006 +/- 0.0010 Ecliptic Y 5.65019222 +/- 0.0001 Ecliptic Z -0.18616238 +/- 0.0000 Ecliptic XDOT -0.00028646 +/- 0.0000 Ecliptic YDOT 0.00273301 +/- 0.0000 Ecliptic ZDOT 0.00001266 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.07213242 +/- 0.0010 Geocenter to KBO 40.07318590 +/- 0.0010 # Hcoef: 7.30
The following table shows the complete astrometric record for 13TW187. 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 (13TW187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.15303 00 29 11.46 +02 51 45.4 24.3g 13TW187 W84 C~3clQ 2013 10 13.09336 00 28 31.169 +02 47 27.39 23.2z 13TW187 W84 C~4yRE 2013 10 13.12065 00 28 31.050 +02 47 26.64 23.2i 13TW187 W84 C~4yRE 2013 10 13.12065 00 28 31.05 +02 47 26.6 23.3i 13TW187 W84 C~3clQ 2013 10 28.06792 00 27 27.969 +02 40 43.52 23.0r 13TW187 W84 C~4yRE 2013 10 28.06792 00 27 27.97 +02 40 43.5 23.1r 13TW187 W84 C~3clQ 2013 11 22.07536 00 26 06.917 +02 32 10.83 23.6r 13TW187 W84 C~4yRE 2013 11 22.07536 00 26 06.92 +02 32 10.8 23.6r 13TW187 W84 C~3clQ 2013 11 22.07674 00 26 06.909 +02 32 10.75 23.2i 13TW187 W84 C~4yRE 2014 10 21.21921 00 33 12.241 +03 18 01.80 23.3r 13TW187 W84 C~4yRE 2014 10 29.19088 00 32 39.285 +03 14 32.35 23.8r 13TW187 W84 C~4yRE 2014 11 15.10387 00 31 39.541 +03 08 14.36 22.1z 13TW187 W84 C~4yRE 2016 09 09.28605 00 46 45.259 +04 45 13.07 22.8i 13TW187 W84 C~4yRE 2016 09 09.28605 00 46 45.26 +04 45 13.1 22.9i 13TW187 W84 C~3clQ 2016 09 09.28743 00 46 45.262 +04 45 13.14 23.3r 13TW187 W84 C~4yRE 2016 09 09.28743 00 46 45.26 +04 45 13.1 23.7r 13TW187 W84 C~3clQ 2016 09 09.28881 00 46 45.253 +04 45 12.97 24.3g 13TW187 W84 C~4yRE 2016 09 09.28881 00 46 45.25 +04 45 13.0 24.6g 13TW187 W84 C~3clQ 2016 09 10.31721 00 46 41.084 +04 44 46.65 23.2z 13TW187 W84 C~4yRE 2016 11 18.09656 00 41 54.429 +04 14 39.19 23.4r 13TW187 W84 C~4yRE 2016 11 18.09656 00 41 54.43 +04 14 39.2 23.6r 13TW187 W84 C~3clQ 2016 11 26.10593 00 41 32.784 +04 12 24.76 23.0r 13TW187 W84 C~4yRE 2020 09 21.247270 01 06 53.795 +06 52 41.75 23.2G 13TW187 G37 C~49wo 2020 09 21.308740 01 06 53.532 +06 52 40.23 13TW187 G37 C~49wo
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 0.02 0.00 0.08
2 0.0245 0.00 -0.04 0.00 0.02
3 0.0246 0.00 0.02 0.00 0.01
4 0.0246 0.00 0.02 0.00 0.05
5 0.0655 0.00 0.18 0.00 -0.31
6 0.0655 0.00 0.17 0.00 -0.29
7 0.1339 0.00 -0.12 0.00 0.10
8 0.1339 0.00 -0.08 0.00 0.07
9 0.1339 0.00 -0.19 0.00 0.05
10 1.0460 0.00 -0.10 0.00 0.19
11 1.0679 0.00 0.03 0.00 0.15
12 1.1142 0.00 0.12 0.00 0.07
13 2.9326 0.00 -0.05 0.00 0.01
14 2.9326 0.00 -0.06 0.00 -0.02
15 2.9326 0.00 0.07 0.00 0.09
16 2.9326 0.00 0.04 0.00 0.05
17 2.9326 0.00 -0.03 0.00 -0.01
18 2.9326 0.00 0.02 0.00 -0.04
19 2.9354 0.00 -0.08 0.00 0.03
20 3.1237 0.00 0.09 0.00 -0.12
21 3.1237 0.00 0.07 0.00 -0.13
22 3.1457 0.00 0.01 0.00 -0.07
23 6.9654 0.00 -0.04 0.00 -0.02
24 6.9655 0.00 0.03 0.00 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.
13TW187 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.407 43.407 43.407 ecceobj 0.065 0.065 0.065 incobj 0.376 0.376 0.376 qmin 39.643 39.679 39.691 qmax 46.900 46.902 46.904 amean 43.170 43.166 43.169 amin 42.831 42.835 42.839 amax 43.536 43.524 43.524 emean 0.061 0.061 0.061 emin 0.039 0.039 0.040 emax 0.078 0.078 0.078 imean 1.949 1.947 1.945 imin 0.780 0.776 0.777 imax 2.624 2.619 2.618 excite_mean 0.070 0.070 0.070 fracstop 1.000 1.000 1.000 cjmean 3.085 3.085 3.086 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 182.8 182.9 182.9 kozaiamp 179.9 180.0 179.9