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: 99TR11 # Created Sun Dec 22 02:08:05 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 32 observations of 32 # Arc: 11.49y # First observation: 1999/10/07 # Last observation: 2011/04/04 # Chi-squared of fit: 131.25 DOF: 58 RMS: 0.36 # Min/Max residuals: -0.85 1.36 # Exact a, adot, b, bdot, g, gdot: 2.094144E-05 4.193002E-02 4.029811E-06 1.294797E-02 3.431654E-02 2.960422E-03 # Covariance matrix: 1.3278E-13 -8.9134E-14 1.4350E-14 -2.7197E-14 6.9028E-14 -2.0611E-13 -8.9134E-14 1.3032E-13 -2.1526E-14 4.0832E-14 -3.1325E-14 3.0021E-13 1.4350E-14 -2.1526E-14 6.3188E-14 -1.8705E-14 6.2996E-15 -5.4342E-14 -2.7197E-14 4.0832E-14 -1.8705E-14 2.5104E-14 -1.1899E-14 1.0307E-13 6.9028E-14 -3.1325E-14 6.2996E-15 -1.1899E-14 1.1221E-13 -1.0064E-13 -2.0611E-13 3.0021E-13 -5.4342E-14 1.0307E-13 -1.0064E-13 7.6056E-13 # lat0 lon0 xBary yBary zBary JD0 -0.103806 55.657284 0.663023 -0.001555 -0.737500 2451458.929703 # Heliocentric elements and errors Epoch: 2451458.5000 = 1999/10/07 Mean Anomaly: 7.72866 +/- 0.002 Argument of Peri: 346.27687 +/- 0.004 Long of Asc Node: 54.70602 +/- 0.000 Inclination: 17.09811 +/- 0.000 Eccentricity: 0.25381506 +/- 0.0001 Semi-Major Axis: 39.83892119 +/- 0.0029 Time of Perihelion: 2449486.7057 +/- 0.6 Perihelion: 29.72720308 +/- 0.0030 Aphelion: 49.95063930 +/- 0.0042 Period (y) 251.4604 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 17.40988647 +/- 0.0002 Ecliptic Y 24.29797053 +/- 0.0002 Ecliptic Z -0.05267275 +/- 0.0000 Ecliptic XDOT -0.00263229 +/- 0.0000 Ecliptic YDOT 0.00209190 +/- 0.0000 Ecliptic ZDOT 0.00103266 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 29.89141408 +/- 0.0002 Geocenter to KBO 29.14045108 +/- 0.0003 # Hcoef: 8.42
The following table shows the complete astrometric record for 99TR11. 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 (99TR11) followed by the observatory code and reference code for the source of the astrometry.
1999 10 07.42896 03 33 24.27 +19 04 22.9 99TR11 568 Ca7378 1999 10 07.48706 03 33 23.98 +19 04 22.4 99TR11 568 Ca7378 1999 10 07.62051 03 33 23.32 +19 04 21.1 99TR11 568 Ca7378 1999 10 09.58354 03 33 13.72 +19 04 01.9 23.0R 99TR11 568 Ca6917 1999 10 09.61509 03 33 13.55 +19 04 01.7 22.9R 99TR11 568 Ca6917 1999 10 10.51748 03 33 08.98 +19 03 52.7 23.0R 99TR11 568 Ca6917 1999 10 10.58385 03 33 08.67 +19 03 51.9 22.8R 99TR11 568 Ca6917 1999 11 09.49156 03 30 04.00 +18 56 49.0 22.8R 99TR11 568 Ca7378 1999 11 09.54296 03 30 03.65 +18 56 48.0 22.8R 99TR11 568 Ca7378 1999 11 12.47131 03 29 43.39 +18 55 58.1 22.7R 99TR11 568 Ca7378 1999 11 12.50545 03 29 43.13 +18 55 57.9 22.6R 99TR11 568 Ca7378 1999 12 31.23266 03 24 42.11 +18 44 01.5 23.7R 99TR11 695 Ca9941 1999 12 31.23976 03 24 42.07 +18 44 01.6 22.8R 99TR11 695 Ca9941 1999 12 31.32433 03 24 41.68 +18 44 00.5 23.0R 99TR11 695 Ca9941 1999 12 31.35510 03 24 41.50 +18 44 00.6 23.1R 99TR11 695 Ca9941 2000 01 03.25662 03 24 29.28 +18 43 35.8 23.2R 99TR11 697 Ca8563 2000 01 03.31573 03 24 29.13 +18 43 35.6 23.2R 99TR11 697 Ca8563 2000 01 05.13725 03 24 21.85 +18 43 22.9 22.8R 99TR11 697 Ca8563 2000 01 05.22196 03 24 21.50 +18 43 22.3 22.9R 99TR11 697 Ca8563 2000 08 27.63144 03 44 03.82 +20 19 51.4 22.9R 99TR11 568 Cb9110 2000 08 28.60367 03 44 04.23 +20 20 01.0 22.8R 99TR11 568 Cb9110 2000 08 29.62638 03 44 04.50 +20 20 10.3 22.9R 99TR11 568 Cb9110 2000 12 27.33730 03 34 04.813 +20 02 37.25 22.6R 99TR11 568 Cl5167 2000 12 28.30700 03 34 00.016 +20 02 27.08 22.9R 99TR11 568 Cl6338 2000 12 28.37573 03 33 59.667 +20 02 26.23 22.2R 99TR11 568 Cl5167 2001 09 14.818460 03 53 03.052 +21 34 50.33 99TR11 250 S~8392 2001 09 14.821932 03 53 03.046 +21 34 50.42 99TR11 250 S~8392 2001 09 14.824710 03 53 03.038 +21 34 50.52 99TR11 250 S~8392 2001 09 14.828182 03 53 03.027 +21 34 50.58 99TR11 250 S~8392 2001 09 14.830960 03 53 03.017 +21 34 50.65 99TR11 250 S~8392 2001 09 14.834432 03 53 03.004 +21 34 50.69 99TR11 250 S~8392 2011 04 04.231630 05 08 32.64 +30 29 24.1 99TR11 T14 C~8392
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 -0.44 0.00 0.31
2 0.0002 0.00 -0.51 0.00 0.33
3 0.0005 0.00 -0.54 0.00 0.28
4 0.0059 0.00 0.05 0.00 -0.01
5 0.0060 0.00 -0.07 0.00 0.12
6 0.0085 0.00 -0.38 0.00 0.25
7 0.0086 0.00 0.17 0.00 0.14
8 0.0905 0.00 0.34 0.00 0.03
9 0.0907 0.00 0.49 0.00 -0.10
10 0.0987 0.00 0.44 0.00 -0.42
11 0.0988 0.00 0.16 0.00 -0.03
12 0.2322 0.00 0.06 0.00 0.33
13 0.2322 0.00 -0.05 0.00 0.49
14 0.2324 0.00 -0.21 0.00 0.16
15 0.2325 0.00 -0.85 0.00 0.54
16 0.2405 0.00 -0.07 0.00 -0.84
17 0.2406 0.00 1.36 0.00 -0.58
18 0.2456 0.00 0.01 0.00 -0.35
19 0.2458 0.00 -0.21 0.00 -0.38
20 0.8904 0.00 0.13 0.00 -0.37
21 0.8930 0.00 0.24 0.00 -0.27
22 0.8958 0.00 0.15 0.00 -0.51
23 1.2236 0.00 -0.20 0.00 0.10
24 1.2262 0.00 -0.17 0.00 0.27
25 1.2264 0.00 -0.23 0.00 0.15
26 1.9395 0.00 0.35 0.00 -0.02
27 1.9395 0.00 0.34 0.00 0.05
28 1.9395 0.00 0.29 0.00 0.14
29 1.9395 0.00 0.21 0.00 0.18
30 1.9395 0.00 0.13 0.00 0.24
31 1.9395 0.00 0.03 0.00 0.26
32 11.4902 0.00 -0.02 0.00 0.01
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.
99TR11 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.848 39.848 39.848 ecceobj 0.254 0.254 0.254 incobj 17.097 17.097 17.097 qmin 29.132 29.135 29.130 qmax 50.188 50.185 50.195 amean 39.455 39.455 39.455 amin 39.083 39.083 39.083 amax 39.882 39.881 39.883 emean 0.218 0.218 0.218 emin 0.170 0.170 0.170 emax 0.260 0.260 0.261 imean 17.119 17.119 17.118 imin 15.829 15.832 15.826 imax 18.854 18.854 18.854 excite_mean 0.367 0.367 0.367 fracstop 1.000 1.000 1.000 cjmean 2.898 2.898 2.898 libcent 0 179.4 179.3 179.3 libamp 0 52.4 52.5 52.6 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 191.7 191.9 191.6 kozaiamp 180.0 180.0 180.0