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 Fri Apr 26 01:10:00 2024 # Orbit generated from Bernstein formalism # Fitting 24 observations of 25 # Arc: 1.23y # First observation: 1999/10/07 # Last observation: 2000/12/28 Preliminary a, adot, b, bdot, g, gdot: -0.000185 0.041449 0.000003 0.012827 0.033938 0.000000 # Chi-squared of fit: 73.64 DOF: 42 RMS: 0.31 # Min/Max residuals: -0.81 0.71 # Exact a, adot, b, bdot, g, gdot: 2.038597E-05 4.192754E-02 4.500231E-06 1.294591E-02 3.431526E-02 2.865218E-03 # Covariance matrix: 1.8987E-13 1.8788E-13 -1.4620E-14 1.5786E-13 2.5542E-13 1.0310E-11 1.8788E-13 2.0228E-12 -8.6513E-14 9.3321E-13 1.1002E-12 6.1000E-11 -1.4620E-14 -8.6513E-14 1.0673E-13 -1.6600E-13 -5.4669E-14 -3.1607E-12 1.5786E-13 9.3321E-13 -1.6600E-13 8.6096E-13 5.8999E-13 3.4090E-11 2.5542E-13 1.1002E-12 -5.4669E-14 5.8999E-13 8.1565E-13 3.8550E-11 1.0310E-11 6.1000E-11 -3.1607E-12 3.4090E-11 3.8550E-11 2.2285E-09 # lat0 lon0 xBary yBary zBary JD0 -0.103806 55.657284 0.663023 -0.001555 -0.737500 2451458.929703 # Heliocentric elements and errors Epoch: 2451450.5000 = 1999/09/29 Mean Anomaly: 7.36993 +/- 0.166 Argument of Peri: 346.86255 +/- 0.292 Long of Asc Node: 54.70597 +/- 0.000 Inclination: 17.09731 +/- 0.001 Eccentricity: 0.25306379 +/- 0.0003 Semi-Major Axis: 39.81952404 +/- 0.0086 Time of Perihelion: 2449571.6015 +/- 42.4 Perihelion: 29.74264448 +/- 0.0153 Aphelion: 49.89640360 +/- 0.0176 Period (y) 251.2767 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 17.41051369 +/- 0.0004 Ecliptic Y 24.29885987 +/- 0.0006 Ecliptic Z -0.05266101 +/- 0.0000 Ecliptic XDOT -0.00263651 +/- 0.0000 Ecliptic YDOT 0.00208560 +/- 0.0000 Ecliptic ZDOT 0.00103255 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 29.89253002 +/- 0.0006 Geocenter to KBO 29.14155360 +/- 0.0008 # 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
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 -0.22 0.00 0.30
2 0.0002 -4.11 -0.28 0.49 0.34
3 0.0005 -13.51 -0.32 1.45 0.29
4 0.0059 -150.27 0.16 15.13 -0.11
5 0.0060 -152.66 0.07 15.51 0.03
6 0.0085 -217.73 -0.18 22.17 0.23
7 0.0086 -222.19 0.30 22.44 0.00
8 0.0905 -2866.39 0.37 240.28 -0.11
9 0.0907 -2871.45 0.48 240.51 -0.27
10 0.0987 -3162.48 0.35 261.74 -0.56
11 0.0988 -3166.11 0.19 262.44 -0.12
12 0.2322 -7487.64 0.19 619.40 0.29
13 0.2322 -7488.17 0.12 619.64 0.48
14 0.2324 -7493.81 -0.11 619.96 0.19
15 0.2325 -7496.27 -0.61 620.69 0.71
16 0.2405 -7670.80 -0.22 640.01 -0.81
17 0.2406 -7672.91 ( 1.16) 640.35 ( -0.89)
18 0.2456 -7776.37 -0.03 653.90 -0.35
19 0.2458 -7781.34 -0.24 654.56 -0.32
20 0.8904 9838.38 -0.14 2332.71 -0.31
21 0.8930 9846.16 -0.02 2340.80 -0.23
22 0.8958 9851.94 -0.16 2349.04 -0.45
23 1.2236 1384.89 0.08 3259.36 0.19
24 1.2262 1316.80 0.15 3265.46 0.35
25 1.2264 1311.81 0.07 3265.80 0.24
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 39.830 39.856 39.806 ecceobj 0.253 0.254 0.252 incobj 17.096 17.096 17.096 qmin 28.892 29.351 29.292 qmax 50.486 50.010 50.053 amean 39.455 39.455 39.455 amin 39.080 39.075 39.076 amax 39.910 39.889 39.921 emean 0.220 0.216 0.216 emin 0.167 0.170 0.167 emax 0.266 0.255 0.256 imean 17.049 17.221 17.154 imin 15.072 15.954 15.847 imax 18.818 18.855 18.794 excite_mean 0.367 0.367 0.366 fracstop 1.000 1.000 1.000 cjmean 2.898 2.898 2.898 libcent 0 180.2 179.8 180.0 libamp 0 49.0 53.8 49.0 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 166.4 198.6 198.5 kozaiamp 180.0 179.9 180.0