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: 16GZ398 # Created Sun Oct 19 01:11:28 2025 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 26.01d # First observation: 2016/03/09 # Last observation: 2016/04/04 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.031127 -0.000001 -0.013426 0.028763 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 14.55 DOF: 27 RMS: 0.17 # Min/Max residuals: -0.36 0.36 # Exact a, adot, b, bdot, g, gdot: 1.688935E-05 2.863585E-02 -6.244314E-06 -1.277768E-02 2.807054E-02 9.062562E-03 # Covariance matrix: 2.3515E-13 1.6236E-11 -3.7988E-14 -5.6132E-12 8.2708E-12 2.6612E-09 1.6236E-11 1.5941E-07 -1.1461E-10 -4.0181E-08 3.8847E-08 3.3861E-06 -3.7988E-14 -1.1461E-10 2.4176E-13 2.6535E-11 -2.9055E-11 -3.1176E-09 -5.6132E-12 -4.0181E-08 2.6535E-11 1.0258E-08 -9.8374E-09 -8.7794E-07 8.2708E-12 3.8847E-08 -2.9055E-11 -9.8374E-09 9.6398E-09 9.2818E-07 2.6612E-09 3.3861E-06 -3.1176E-09 -8.7794E-07 9.2818E-07 1.3506E-04 # lat0 lon0 xBary yBary zBary JD0 16.573190 -137.456629 0.795068 0.168271 -0.564936 2457457.114669 # Heliocentric elements and errors Epoch: 2457450.5000 = 2016/03/03 Mean Anomaly: 31.42716 +/- 16.200 Argument of Peri: 80.71729 +/- 28.186 Long of Asc Node: 74.13858 +/- 0.468 Inclination: 28.29260 +/- 0.306 Eccentricity: 0.35214032 +/- 0.3948 Semi-Major Axis: 47.94082747 +/- 16.2342 Time of Perihelion: 2446866.2695 +/- 929.0 Perihelion: 31.05892916 +/- 21.6513 Aphelion: 64.82272578 +/- 28.9828 Period (y) 331.9453 +/- 168.61 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.13183065 +/- 0.0880 Ecliptic Y -22.90192957 +/- 0.0807 Ecliptic Z 10.16135088 +/- 0.0356 Ecliptic XDOT 0.00100227 +/- 0.0008 Ecliptic YDOT -0.00287795 +/- 0.0007 Ecliptic ZDOT -0.00094235 +/- 0.0003 # Distances at JD0 (AU) Heliocenter to KBO 36.20254139 +/- 0.0821 Geocenter to KBO 35.62453791 +/- 0.1246 # Hcoef: 9.02
The following table shows the complete astrometric record for 16GZ398. 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 (16GZ398) followed by the observatory code and reference code for the source of the astrometry.
2016 03 09.61388 15 00 18.34 +00 13 28.5 24.9r 16GZ398 T09 C~94se 2016 03 09.64197 15 00 18.28 +00 13 29.5 24.8r 16GZ398 T09 C~94se 2016 03 09.64419 15 00 18.28 +00 13 29.5 25.0r 16GZ398 T09 C~94se 2016 03 09.64637 15 00 18.28 +00 13 29.5 24.7r 16GZ398 T09 C~94se 2016 03 09.65786 15 00 18.24 +00 13 29.9 24.9r 16GZ398 T09 C~94se 2016 03 12.59196 15 00 10.81 +00 14 51.8 25.1z 16GZ398 T09 C~94se 2016 03 12.61360 15 00 10.73 +00 14 52.5 24.7z 16GZ398 T09 C~94se 2016 03 12.62983 15 00 10.68 +00 14 52.8 25.5z 16GZ398 T09 C~94se 2016 03 15.55223 15 00 02.42 +00 16 15.2 23.7y 16GZ398 T09 C~94se 2016 03 15.56722 15 00 02.41 +00 16 16.2 23.8y 16GZ398 T09 C~94se 2016 03 15.60234 15 00 02.29 +00 16 17.2 23.9y 16GZ398 T09 C~94se 2016 03 15.64012 15 00 02.18 +00 16 17.7 24.0y 16GZ398 T09 C~94se 2016 04 04.58242 14 58 47.13 +00 25 41.2 24.6g 16GZ398 T09 C~94se 2016 04 04.58878 14 58 47.11 +00 25 41.2 24.5g 16GZ398 T09 C~94se 2016 04 04.60802 14 58 47.03 +00 25 41.6 24.9g 16GZ398 T09 C~94se 2016 04 04.62071 14 58 46.98 +00 25 41.9 25.3g 16GZ398 T09 C~94se
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 -0.16 0.00 -0.20
2 0.0001 -1.15 -0.08 0.69 0.06
3 0.0001 -1.15 0.02 0.69 0.02
4 0.0001 -1.15 0.12 0.69 -0.01
5 0.0001 -1.84 -0.07 0.90 0.02
6 0.0082 -132.40 0.36 46.54 0.08
7 0.0082 -133.75 0.04 46.86 0.08
8 0.0083 -134.56 0.02 46.93 -0.09
9 0.0163 -277.17 -0.29 89.40 -0.36
10 0.0163 -277.60 0.05 90.31 0.35
11 0.0164 -279.62 -0.13 90.74 0.30
12 0.0165 -281.34 0.11 90.73 -0.23
13 0.0711 -1522.81 -0.24 299.60 0.13
14 0.0711 -1523.10 -0.06 299.51 0.01
15 0.0712 -1524.36 0.09 299.54 -0.08
16 0.0712 -1525.17 0.22 299.61 -0.09
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.
16GZ398 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0