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: 16GD399 # Created Sun Oct 19 01:11:28 2025 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 34.91d # First observation: 2016/03/07 # Last observation: 2016/04/11 Preliminary a, adot, b, bdot, g, gdot: -0.000005 0.019995 -0.000003 -0.005968 0.022368 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 34.13 DOF: 17 RMS: 0.31 # Min/Max residuals: -0.58 0.95 # Exact a, adot, b, bdot, g, gdot: 9.023122E-06 1.903463E-02 -7.155770E-06 -5.851006E-03 2.211032E-02 8.270648E-03 # Covariance matrix: 9.4950E-13 6.8210E-10 -7.6110E-14 -7.1679E-11 1.2858E-10 3.7476E-09 6.8210E-10 1.0109E-06 -1.1163E-10 -1.0523E-07 1.8826E-07 5.0270E-06 -7.6110E-14 -1.1163E-10 4.9271E-13 6.3676E-12 -2.0856E-11 -5.9346E-10 -7.1679E-11 -1.0523E-07 6.3676E-12 1.1043E-08 -1.9638E-08 -5.4601E-07 1.2858E-10 1.8826E-07 -2.0856E-11 -1.9638E-08 3.5247E-08 1.0438E-06 3.7476E-09 5.0270E-06 -5.9346E-10 -5.4601E-07 1.0438E-06 8.7635E-05 # lat0 lon0 xBary yBary zBary JD0 12.375187 -151.389624 0.655984 0.158849 -0.723320 2457455.100549 # Heliocentric elements and errors Epoch: 2457450.5000 = 2016/03/03 Mean Anomaly: 51.81271 +/- 44.559 Argument of Peri: 47.00299 +/- 15.774 Long of Asc Node: 62.86415 +/- 1.147 Inclination: 20.57080 +/- 0.543 Eccentricity: 0.38663978 +/- 0.4459 Semi-Major Axis: 51.81364677 +/- 23.5146 Time of Perihelion: 2437844.0716 +/- 10304.1 Perihelion: 31.78043003 +/- 27.2356 Aphelion: 71.84686350 +/- 39.9616 Period (y) 372.9705 +/- 253.90 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -39.75061478 +/- 0.3293 Ecliptic Y -20.93512942 +/- 0.1796 Ecliptic Z 9.69256882 +/- 0.0823 Ecliptic XDOT 0.00011401 +/- 0.0010 Ecliptic YDOT -0.00262954 +/- 0.0006 Ecliptic ZDOT -0.00048818 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 45.96016655 +/- 0.2969 Geocenter to KBO 45.22774986 +/- 0.3840 # Hcoef: 9.30
The following table shows the complete astrometric record for 16GD399. 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 (16GD399) followed by the observatory code and reference code for the source of the astrometry.
2016 03 07.59976 14 03 49.87 +00 36 21.8 26.0g 16GD399 T09 C~98P3 2016 03 07.63334 14 03 49.66 +00 36 22.4 25.4g 16GD399 T09 C~98P3 2016 03 07.64626 14 03 49.63 +00 36 22.4 26.1g 16GD399 T09 C~98P3 2016 04 08.53825 14 01 55.02 +00 49 23.9 25.9r 16GD399 T09 C~98P3 2016 04 08.54958 14 01 54.96 +00 49 23.9 26.2r 16GD399 T09 C~98P3 2016 04 08.56035 14 01 54.92 +00 49 24.2 26.5r 16GD399 T09 C~98P3 2016 04 08.56247 14 01 54.93 +00 49 24.2 26.1r 16GD399 T09 C~98P3 2016 04 11.44440 14 01 42.84 +00 50 29.8 25.5i 16GD399 T09 C~98P3 2016 04 11.46760 14 01 42.73 +00 50 30.4 25.5i 16GD399 T09 C~98P3 2016 04 11.48411 14 01 42.67 +00 50 30.8 25.5i 16GD399 T09 C~98P3 2016 04 11.51385 14 01 42.53 +00 50 31.4 26.2i 16GD399 T09 C~98P3
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 0.95 0.00 0.61
2 0.0001 -3.16 -0.58 -0.54 -0.18
3 0.0001 -3.58 -0.37 -0.69 -0.44
4 0.0874 -1887.33 -0.05 131.37 0.21
5 0.0875 -1888.18 -0.13 131.06 -0.10
6 0.0875 -1888.84 -0.07 131.13 -0.02
7 0.0875 -1888.70 0.21 131.18 0.03
8 0.0954 -2081.54 0.10 129.35 -0.05
9 0.0955 -2083.30 -0.07 129.33 -0.03
10 0.0955 -2084.28 0.08 129.39 0.05
11 0.0956 -2086.46 -0.07 129.22 -0.08
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.
16GD399 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