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: 16XO34 # Created Fri Nov 22 02:10:47 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 3.96y # First observation: 2014/12/13 # Last observation: 2018/11/28 Preliminary a, adot, b, bdot, g, gdot: -0.000160 0.022338 0.000056 -0.012611 0.025420 0.000000 # Chi-squared of fit: 4.14 DOF: 14 RMS: 0.11 # Min/Max residuals: -0.24 0.25 # Exact a, adot, b, bdot, g, gdot: 1.427366E-05 2.227927E-02 -8.310401E-06 -1.253325E-02 2.465869E-02 -8.527354E-05 # Covariance matrix: 1.3514E-12 -8.3370E-13 -1.4118E-13 2.5571E-13 -3.4691E-13 -5.4207E-12 -8.3370E-13 1.0252E-12 2.6717E-13 -4.8330E-13 5.1888E-13 1.0204E-11 -1.4118E-13 2.6717E-13 1.1820E-12 -5.2350E-13 1.6894E-13 3.1213E-12 2.5571E-13 -4.8330E-13 -5.2350E-13 4.1520E-13 -3.0765E-13 -5.6488E-12 -3.4691E-13 5.1888E-13 1.6894E-13 -3.0765E-13 7.8742E-13 6.6329E-12 -5.4207E-12 1.0204E-11 3.1213E-12 -5.6488E-12 6.6329E-12 1.1944E-10 # lat0 lon0 xBary yBary zBary JD0 -19.579298 22.686681 -0.834229 -0.174708 -0.491790 2457004.647348 # Heliocentric elements and errors Epoch: 2457000.5000 = 2014/12/09 Mean Anomaly: 4.48441 +/- 0.183 Argument of Peri: 210.15866 +/- 0.234 Long of Asc Node: 173.09119 +/- 0.001 Inclination: 34.39155 +/- 0.001 Eccentricity: 0.11658625 +/- 0.0001 Semi-Major Axis: 46.44583375 +/- 0.0064 Time of Perihelion: 2455560.3055 +/- 58.9 Perihelion: 41.03088835 +/- 0.0076 Aphelion: 51.86077916 +/- 0.0088 Period (y) 316.5398 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.40916143 +/- 0.0013 Ecliptic Y 15.70922714 +/- 0.0005 Ecliptic Z -13.59036429 +/- 0.0005 Ecliptic XDOT -0.00139665 +/- 0.0000 Ecliptic YDOT 0.00209385 +/- 0.0000 Ecliptic ZDOT -0.00130783 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.05224150 +/- 0.0011 Geocenter to KBO 40.55365722 +/- 0.0015 # Hcoef: 7.65
The following table shows the complete astrometric record for 16XO34. 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 (16XO34) followed by the observatory code and reference code for the source of the astrometry.
2014 12 13.14657 01 52 55.367 -09 22 33.06 23.9i 16XO34 W84 C~55bY 2016 12 06.08429 02 05 01.330 -09 45 17.10 23.3z 16XO34 W84 C~55bY 2016 12 31.08714 02 04 02.721 -09 41 36.25 23.7r 16XO34 W84 C~55bY 2017 08 21.40018 02 17 33.186 -09 00 10.19 23.4r 16XO34 W84 C~55bY 2017 10 16.24533 02 14 37.616 -09 39 34.51 24.0r 16XO34 W84 C~55bY 2017 10 18.28531 02 14 28.278 -09 40 45.51 24.0i 16XO34 W84 C~55bY 2017 10 18.28669 02 14 28.289 -09 40 45.88 23.6r 16XO34 W84 C~55bY 2018 01 09.09472 02 09 44.275 -09 49 14.62 23.8r 16XO34 W84 C~55bY 2018 01 09.09609 02 09 44.260 -09 49 14.62 23.5i 16XO34 W84 C~55bY 2018 11 28.19236 02 17 20.499 -10 05 43.79 23.8r 16XO34 W84 C~55bY
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 0.00 0.00 0.06
2 1.9820 9445.77 -0.02 -5306.41 -0.02
3 2.0505 8726.15 0.09 -4771.82 -0.08
4 2.6893 20829.91 -0.16 -7099.60 -0.14
5 2.8422 17489.59 -0.00 -8274.33 -0.03
6 2.8477 17333.59 0.08 -8286.26 0.25
7 2.8477 17333.60 0.19 -8286.67 -0.15
8 3.0745 13235.60 -0.03 -7129.95 0.01
9 3.0745 13235.39 -0.24 -7129.87 0.06
10 3.9591 19119.59 0.08 -10671.51 0.04
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.
16XO34 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.837 46.856 46.817 ecceobj 0.124 0.124 0.124 incobj 34.266 34.266 34.266 qmin 40.145 40.161 40.146 qmax 53.141 53.190 53.129 amean 46.512 46.532 46.493 amin 46.140 46.156 46.122 amax 46.914 46.944 46.894 emean 0.120 0.120 0.120 emin 0.108 0.108 0.107 emax 0.133 0.134 0.133 imean 33.753 33.753 33.754 imin 33.507 33.520 33.521 imax 34.018 34.003 34.007 excite_mean 0.568 0.568 0.568 fracstop 1.000 1.000 1.000 cjmean 2.699 2.699 2.699 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 196.1 196.1 196.0 kozaiamp 180.0 180.0 180.0