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: 16TZ94 # Created Fri Nov 22 02:10:47 2024 # Orbit generated from Bernstein formalism # Fitting 11 observations of 13 # Arc: 3.98y # First observation: 2014/11/21 # Last observation: 2018/11/15 Preliminary a, adot, b, bdot, g, gdot: 0.000030 0.023116 -0.000011 -0.001233 0.024030 0.000000 # Chi-squared of fit: 4.35 DOF: 16 RMS: 0.11 # Min/Max residuals: -0.24 0.21 # Exact a, adot, b, bdot, g, gdot: 1.476331E-05 2.335095E-02 -4.143944E-07 -1.237739E-03 2.399361E-02 3.408780E-03 # Covariance matrix: 2.8961E-13 -2.6992E-13 -2.5278E-15 9.1141E-15 -2.2419E-14 -2.1217E-12 -2.6992E-13 9.7595E-13 2.1401E-14 -4.8590E-14 -7.4092E-14 1.0666E-11 -2.5278E-15 2.1401E-14 2.5496E-13 -9.7021E-14 -2.6191E-14 2.1840E-13 9.1141E-15 -4.8590E-14 -9.7021E-14 7.9875E-14 8.6360E-15 -5.6991E-13 -2.2419E-14 -7.4092E-14 -2.6191E-14 8.6360E-15 5.6015E-13 -7.2137E-14 -2.1217E-12 1.0666E-11 2.1840E-13 -5.6991E-13 -7.2137E-14 1.2776E-10 # lat0 lon0 xBary yBary zBary JD0 -24.468512 23.894995 -0.560695 -0.337011 -0.741057 2456982.733468 # Heliocentric elements and errors Epoch: 2456980.5000 = 2014/11/19 Mean Anomaly: 66.75086 +/- 0.054 Argument of Peri: 178.95767 +/- 0.038 Long of Asc Node: 121.63091 +/- 0.002 Inclination: 24.16735 +/- 0.000 Eccentricity: 0.15998887 +/- 0.0005 Semi-Major Axis: 44.17501813 +/- 0.0121 Time of Perihelion: 2437095.8512 +/- 13.8 Perihelion: 37.10750688 +/- 0.0244 Aphelion: 51.24252938 +/- 0.0263 Period (y) 293.6117 +/- 0.12 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.19751165 +/- 0.0011 Ecliptic Y 16.20989152 +/- 0.0005 Ecliptic Z -17.26272312 +/- 0.0005 Ecliptic XDOT -0.00081334 +/- 0.0000 Ecliptic YDOT 0.00255086 +/- 0.0000 Ecliptic ZDOT -0.00028956 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.42201102 +/- 0.0009 Geocenter to KBO 41.67776728 +/- 0.0013 # Hcoef: 7.17
The following table shows the complete astrometric record for 16TZ94. 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 (16TZ94) followed by the observatory code and reference code for the source of the astrometry.
2014 11 21.23269 02 04 36.298 -13 29 42.14 23.4i 16TZ94 W84 C~55aG 2014 11 21.23543 02 04 36.282 -13 29 42.12 23.7r 16TZ94 W84 C~55aG 2014 11 21.23681 02 04 36.256 -13 29 42.25 23.7g 16TZ94 W84 C~55aG 2014 12 15.17297 02 03 12.928 -13 27 00.37 22.7i 16TZ94 W84 C~55aG 2014 12 16.16845 02 03 10.306 -13 26 43.80 23.7r 16TZ94 W84 C~55aG 2015 11 02.15531 02 11 13.681 -13 00 06.28 23.5r 16TZ94 W84 C~55aG 2016 09 08.31048 02 19 57.271 -12 04 49.42 23.9r 16TZ94 W84 C~55aG 2016 09 08.31184 02 19 57.267 -12 04 49.78 23.5i 16TZ94 W84 C~55aG 2016 10 08.22812 02 18 11.454 -12 23 14.71 23.6r 16TZ94 807 C~2AEF 2016 10 09.28919 02 18 06.864 -12 23 48.56 23.5r 16TZ94 807 C~2AEF 2016 12 25.14716 02 13 01.501 -12 32 00.66 23.2r 16TZ94 W84 C~55aG 2017 11 01.21377 02 21 27.578 -12 06 55.39 23.1z 16TZ94 W84 C~55aG 2018 11 15.26039 02 25 25.189 -11 43 31.82 22.7i 16TZ94 W84 C~55aH
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 0.13 0.00 -0.08
2 0.0000 -0.21 0.08 0.11 -0.03
3 0.0000 -0.61 -0.24 0.13 -0.04
4 0.0655 -1067.81 -0.18 604.13 0.07
5 0.0683 -1097.13 0.13 633.76 0.01
6 0.9471 6045.14 0.21 -543.36 0.08
7 1.7990 14419.11 0.02 -424.87 0.20
8 1.7990 14418.92 -0.10 -425.18 -0.08
9 1.8809 12553.10 ( -0.21) -844.41 ( 0.58)
10 1.8838 12477.72 ( -0.41) -849.66 ( 0.80)
11 2.0942 8148.11 -0.08 414.93 -0.10
12 2.9459 15597.01 -0.02 -1057.22 -0.05
13 3.9836 19382.70 0.04 -1128.89 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.
16TZ94 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.597 44.634 44.559 ecceobj 0.165 0.166 0.163 incobj 24.159 24.159 24.159 qmin 35.849 35.852 35.924 qmax 53.158 53.202 52.939 amean 44.328 44.307 44.264 amin 43.930 43.907 43.887 amax 44.763 44.768 44.675 emean 0.172 0.170 0.169 emin 0.155 0.153 0.153 emax 0.189 0.189 0.185 imean 22.418 22.427 22.427 imin 21.869 21.862 21.886 imax 22.931 22.942 22.947 excite_mean 0.418 0.418 0.417 fracstop 1.000 1.000 1.000 cjmean 2.889 2.889 2.890 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 189.8 189.8 189.8 kozaiamp 180.0 180.0 180.0