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: 94TA # Created Fri Apr 26 01:09:32 2024 # Orbit generated from Bernstein formalism # Fitting 26 observations of 27 # Arc: 4.05y # First observation: 1994/10/02 # Last observation: 1998/10/19 Preliminary a, adot, b, bdot, g, gdot: -0.000014 0.108623 -0.000001 -0.004889 0.067621 0.000000 # Chi-squared of fit: 313.23 DOF: 46 RMS: 0.61 # Min/Max residuals: -1.44 0.99 # Exact a, adot, b, bdot, g, gdot: 2.750682E-05 1.170307E-01 -5.511443E-06 -5.172394E-03 7.161877E-02 3.611723E-02 # Covariance matrix: 1.2596E-13 -6.8072E-14 -1.1101E-15 6.9748E-16 6.7482E-14 -6.6541E-14 -6.8072E-14 5.1724E-13 2.1284E-15 -2.1832E-14 2.4060E-13 1.4207E-12 -1.1101E-15 2.1284E-15 9.7343E-14 -3.8782E-14 -1.9261E-15 5.5792E-15 6.9748E-16 -2.1832E-14 -3.8782E-14 4.1639E-14 -1.3006E-14 -6.5581E-14 6.7482E-14 2.4060E-13 -1.9261E-15 -1.3006E-14 3.7372E-13 7.8147E-13 -6.6541E-14 1.4207E-12 5.5792E-15 -6.5581E-14 7.8147E-13 4.2509E-12 # lat0 lon0 xBary yBary zBary JD0 -5.023004 18.583496 0.157631 -0.086611 -0.985390 2449627.978908 # Heliocentric elements and errors Epoch: 2449620.5000 = 1994/09/25 Mean Anomaly: 52.77760 +/- 0.003 Argument of Peri: 153.77808 +/- 0.004 Long of Asc Node: 137.68367 +/- 0.001 Inclination: 5.39893 +/- 0.000 Eccentricity: 0.30339293 +/- 0.0000 Semi-Major Axis: 16.75902364 +/- 0.0005 Time of Perihelion: 2471006.1217 +/- 0.1 Perihelion: 11.67445432 +/- 0.0005 Aphelion: 21.84359296 +/- 0.0007 Period (y) 68.6090 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 14.17207610 +/- 0.0001 Ecliptic Y 4.59166533 +/- 0.0000 Ecliptic Z -1.22259043 +/- 0.0000 Ecliptic XDOT -0.00013217 +/- 0.0000 Ecliptic YDOT 0.00467100 +/- 0.0000 Ecliptic ZDOT -0.00031802 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 14.94743653 +/- 0.0001 Geocenter to KBO 13.96282103 +/- 0.0001 # Hcoef: 11.43
The following table shows the complete astrometric record for 94TA. 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 (94TA) followed by the observatory code and reference code for the source of the astrometry.
1994 10 02.4782 01 16 12.66 +02 38 00.9 22.5R 94TA 568 A24037 1994 10 02.5031 01 16 12.38 +02 37 58.9 94TA 568 A24037 1994 10 02.5308 01 16 12.06 +02 37 56.7 94TA 568 A24037 1994 10 03.5934 01 16 00.13 +02 36 34.8 94TA 568 A24037 1994 10 03.5994 01 16 00.08 +02 36 34.6 94TA 568 A24037 1994 10 03.6052 01 16 00.00 +02 36 33.9 94TA 568 A24037 1994 10 04.48275 01 15 49.93 +02 35 29.2 94TA 568 C24037 1994 10 04.58204 01 15 48.77 +02 35 21.6 94TA 568 C24037 1994 10 05.48008 01 15 38.54 +02 34 14.0 94TA 568 C24037 1994 10 05.54387 01 15 37.79 +02 34 09.2 94TA 568 C24037 1994 11 01.32785 01 10 34.99 +02 03 18.6 23. R 94TA 568 A24155 1994 11 01.35657 01 10 34.69 +02 03 16.7 94TA 568 A24155 1994 12 02.32758 01 06 19.82 +01 42 46.0 94TA 568 A24290 1994 12 02.40517 01 06 19.37 +01 42 44.8 94TA 568 A24290 1995 12 23.28896 01 28 52.55 +03 48 04.4 94TA 568 C26491 1995 12 23.32233 01 28 52.46 +03 48 04.3 94TA 568 C26491 1995 12 23.35326 01 28 52.39 +03 48 04.9 94TA 568 C26491 1995 12 24.27589 01 28 50.74 +03 48 12.0 94TA 568 C26491 1995 12 24.30691 01 28 50.67 +03 48 12.1 94TA 568 C26491 1996 09 12.5933 02 06 29.97 +07 04 44.7 94TA 568 C27786 1996 09 12.6298 02 06 29.71 +07 04 42.7 94TA 568 C27786 1997 09 07.07656 02 28 25.74 +08 53 15.5 23.3R 94TA 950 C30629 1997 09 07.12968 02 28 25.41 +08 53 12.4 94TA 950 C30629 1997 09 07.20546 02 28 25.05 +08 53 09.7 94TA 950 C30629 1997 09 07.23010 02 28 24.92 +08 53 09.1 94TA 950 C30629 1998 10 19.00110 02 43 14.92 +09 52 01.4 23.5R 94TA 950 Ca2533 1998 10 19.19807 02 43 12.88 +09 51 49.3 94TA 950 Ca2533
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 -0.34 0.00 0.90
2 0.0001 -4.64 -0.29 -0.27 0.75
3 0.0001 -9.91 -0.34 -0.50 0.66
4 0.0031 -206.36 0.60 -8.86 -1.40
5 0.0031 -207.13 0.96 -8.76 -1.27
6 0.0031 -208.51 0.68 -8.96 -1.44
7 0.0055 -372.66 -0.37 -11.91 0.66
8 0.0058 -391.63 -0.51 -12.39 0.61
9 0.0082 -559.10 -0.50 -17.11 0.70
10 0.0084 -571.32 -0.58 -17.32 0.74
11 0.0817 -5473.70 0.08 -15.30 0.99
12 0.0818 -5478.58 0.14 -15.36 0.74
13 0.1666 -9486.45 0.50 292.72 -0.38
14 0.1668 -9493.16 0.23 294.17 -0.12
15 1.2233 12139.58 0.03 -385.47 -0.42
16 1.2234 12138.29 -0.34 -385.06 -0.64
17 1.2235 12137.54 -0.25 -384.11 -0.26
18 1.2260 12117.23 -0.02 -368.25 -0.64
19 1.2261 12116.29 -0.22 -367.76 -0.74
20 1.9469 48682.68 0.40 -1852.22 -0.60
21 1.9470 48678.11 0.56 -1852.70 -0.62
22 2.9311 71015.52 0.30 -2753.52 0.23
23 2.9313 71009.19 -0.87 -2754.78 -0.26
24 2.9315 71002.55 -0.10 -2755.49 0.14
25 2.9316 71000.29 0.07 -2755.37 0.62
26 4.0452 86574.99 ( -0.45) -4086.04 ( 2.33)
27 4.0458 86536.81 0.16 -4087.19 0.83
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.
94TA quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 16.858 16.859 16.856 ecceobj 0.301 0.301 0.301 incobj 5.396 5.396 5.396 qmin 11.102 10.724 11.183 qmax 21.937 27.294 21.935 amean 16.674 17.208 16.711 amin 15.989 15.601 16.038 amax 16.876 19.373 16.877 emean 0.291 0.328 0.290 emin 0.277 0.276 0.277 emax 0.309 0.426 0.304 imean 4.382 4.819 4.312 imin 4.063 4.063 4.063 imax 5.166 6.173 4.775 excite_mean 0.301 0.338 0.300 fracstop 0.003 0.005 0.002 cjmean 3.226 3.176 3.224 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 158.6 168.8 155.6 kozaiamp 25.9 175.9 19.6