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: 16EF391 # Created Wed Nov 27 02:10:35 2024 # Orbit generated from Bernstein formalism # Fitting 34 observations of 34 # Arc: 11.07d # First observation: 2016/03/04 # Last observation: 2016/03/15 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.018733 0.000000 -0.004279 0.021838 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 17.53 DOF: 63 RMS: 0.13 # Min/Max residuals: -0.37 0.30 # Exact a, adot, b, bdot, g, gdot: 1.085798E-05 1.567146E-02 -2.932274E-06 -4.132697E-03 2.134801E-02 -1.026559E-02 # Covariance matrix: 4.1251E-12 4.3498E-09 2.2162E-13 -2.1329E-10 7.2092E-10 -5.0166E-10 4.3498E-09 4.8516E-06 2.4699E-10 -2.3718E-07 8.0133E-07 -2.3034E-06 2.2162E-13 2.4699E-10 1.9025E-13 -2.0985E-11 4.0791E-11 -1.3288E-10 -2.1329E-10 -2.3718E-07 -2.0985E-11 1.2189E-08 -3.9186E-08 1.0382E-07 7.2092E-10 8.0133E-07 4.0791E-11 -3.9186E-08 1.3240E-07 -3.3496E-07 -5.0166E-10 -2.3034E-06 -1.3288E-10 1.0382E-07 -3.3496E-07 8.0476E-05 # lat0 lon0 xBary yBary zBary JD0 -9.345050 152.087767 -0.202283 -0.156982 -0.954925 2457451.934399 # Heliocentric elements and errors Epoch: 2457450.5000 = 2016/03/03 Mean Anomaly: 298.68168 +/- 96.461 Argument of Peri: 336.34803 +/- 27.892 Long of Asc Node: 300.82153 +/- 2.942 Inclination: 17.13649 +/- 1.358 Eccentricity: 0.53221389 +/- 0.3206 Semi-Major Axis: 47.01800844 +/- 24.0064 Time of Perihelion: 2477508.2653 +/- 27561.5 Perihelion: 21.99437120 +/- 18.7975 Aphelion: 72.04164568 +/- 39.7520 Period (y) 322.4071 +/- 246.92 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -41.79782556 +/- 0.6961 Ecliptic Y 21.90890771 +/- 0.3689 Ecliptic Z -7.60644882 +/- 0.1297 Ecliptic XDOT 0.00028299 +/- 0.0010 Ecliptic YDOT -0.00243142 +/- 0.0006 Ecliptic ZDOT -0.00030919 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 47.80080044 +/- 0.6321 Geocenter to KBO 46.84276309 +/- 0.7984 # Hcoef: 7.99
The following table shows the complete astrometric record for 16EF391. 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 (16EF391) followed by the observatory code and reference code for the source of the astrometry.
2016 03 04.43361 10 02 59.13 +01 59 30.2 24.2i 16EF391 T09 C~8HEi 2016 03 04.46258 10 02 59.00 +01 59 30.9 24.0i 16EF391 T09 C~8HEi 2016 03 04.46608 10 02 58.98 +01 59 31.1 24.0i 16EF391 T09 C~8HEi 2016 03 07.28619 10 02 47.45 +02 00 37.1 25.8g 16EF391 T09 C~8HEi 2016 03 07.30636 10 02 47.37 +02 00 37.5 25.4g 16EF391 T09 C~8HEi 2016 03 07.30953 10 02 47.36 +02 00 37.5 25.9g 16EF391 T09 C~8HEi 2016 03 07.31343 10 02 47.34 +02 00 37.6 26.0g 16EF391 T09 C~8HEi 2016 03 07.31730 10 02 47.33 +02 00 37.8 26.1g 16EF391 T09 C~8HEi 2016 03 07.32114 10 02 47.32 +02 00 38.0 25.9g 16EF391 T09 C~8HEi 2016 03 07.32886 10 02 47.30 +02 00 38.0 25.7g 16EF391 T09 C~8HEi 2016 03 09.29704 10 02 39.36 +02 01 24.7 24.8r 16EF391 T09 C~8HEi 2016 03 09.30726 10 02 39.32 +02 01 24.9 25.0r 16EF391 T09 C~8HEi 2016 03 09.31742 10 02 39.27 +02 01 24.9 24.5r 16EF391 T09 C~8HEi 2016 03 09.32069 10 02 39.26 +02 01 25.2 25.2r 16EF391 T09 C~8HEi 2016 03 09.32455 10 02 39.25 +02 01 25.4 25.5r 16EF391 T09 C~8HEi 2016 03 09.32844 10 02 39.22 +02 01 25.4 25.8r 16EF391 T09 C~8HEi 2016 03 09.33236 10 02 39.22 +02 01 25.4 25.2r 16EF391 T09 C~8HEi 2016 03 09.33622 10 02 39.19 +02 01 25.6 25.5r 16EF391 T09 C~8HEi 2016 03 09.34016 10 02 39.17 +02 01 25.7 25.2r 16EF391 T09 C~8HEi 2016 03 12.40209 10 02 27.09 +02 02 37.8 23.7z 16EF391 T09 C~8HEi 2016 03 12.43157 10 02 26.96 +02 02 39.0 23.8z 16EF391 T09 C~8HEi 2016 03 12.43532 10 02 26.96 +02 02 39.0 24.3z 16EF391 T09 C~8HEi 2016 03 12.43918 10 02 26.92 +02 02 39.2 24.0z 16EF391 T09 C~8HEi 2016 03 12.44304 10 02 26.92 +02 02 39.2 24.2z 16EF391 T09 C~8HEi 2016 03 12.44690 10 02 26.91 +02 02 39.3 24.3z 16EF391 T09 C~8HEi 2016 03 12.45077 10 02 26.89 +02 02 39.3 23.9z 16EF391 T09 C~8HEi 2016 03 12.45461 10 02 26.87 +02 02 39.5 24.2z 16EF391 T09 C~8HEi 2016 03 12.45847 10 02 26.86 +02 02 39.5 24.0z 16EF391 T09 C~8HEi 2016 03 12.47004 10 02 26.80 +02 02 40.0 23.9z 16EF391 T09 C~8HEi 2016 03 12.47390 10 02 26.80 +02 02 40.0 24.6z 16EF391 T09 C~8HEi 2016 03 15.49118 10 02 15.17 +02 03 51.5 23.3y 16EF391 T09 C~8HEi 2016 03 15.49503 10 02 15.19 +02 03 52.0 24.0y 16EF391 T09 C~8HEi 2016 03 15.49888 10 02 15.17 +02 03 52.1 24.4y 16EF391 T09 C~8HEi 2016 03 15.50274 10 02 15.15 +02 03 52.0 24.0y 16EF391 T09 C~8HEi
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 0.15 0.00 -0.03
2 0.0001 -2.07 0.03 -0.03 -0.05
3 0.0001 -2.42 -0.09 0.05 0.04
4 0.0078 -187.44 -0.13 1.05 -0.04
5 0.0079 -188.70 -0.06 1.00 -0.09
6 0.0079 -188.84 0.01 0.95 -0.14
7 0.0079 -189.16 -0.05 0.93 -0.16
8 0.0079 -189.37 -0.00 1.07 -0.02
9 0.0079 -189.58 0.04 1.20 0.11
10 0.0079 -189.86 0.27 1.10 0.00
11 0.0133 -317.70 -0.01 2.96 0.15
12 0.0133 -318.34 0.03 2.93 0.12
13 0.0134 -319.04 -0.01 2.67 -0.15
14 0.0134 -319.28 -0.04 2.90 0.08
15 0.0134 -319.49 -0.00 3.03 0.21
16 0.0134 -319.91 -0.17 2.87 0.05
17 0.0134 -319.91 0.09 2.87 0.04
18 0.0134 -320.41 -0.15 2.90 0.07
19 0.0134 -320.72 -0.21 2.89 0.05
20 0.0218 -515.60 0.30 6.71 -0.36
21 0.0219 -517.84 -0.06 7.14 0.04
22 0.0219 -517.84 0.18 7.14 0.04
23 0.0219 -518.47 -0.20 7.12 0.01
24 0.0219 -518.47 0.04 7.12 0.00
25 0.0219 -518.65 0.12 7.16 0.04
26 0.0219 -518.93 0.08 7.06 -0.07
27 0.0220 -519.28 -0.02 7.14 0.00
28 0.0220 -519.42 0.08 7.08 -0.05
29 0.0220 -520.44 -0.19 7.24 0.08
30 0.0220 -520.44 0.05 7.24 0.08
31 0.0303 -708.79 -0.24 12.87 -0.37
32 0.0303 -708.68 0.10 13.44 0.19
33 0.0303 -709.00 0.03 13.43 0.17
34 0.0303 -709.24 0.02 13.23 -0.03
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.