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: 16SH57 # Created Fri Apr 26 01:18:03 2024 # Orbit generated from Bernstein formalism # Fitting 21 observations of 21 # Arc: 0.97y # First observation: 2015/10/10 # Last observation: 2016/09/29 Preliminary a, adot, b, bdot, g, gdot: -0.000002 0.028902 -0.000000 0.004266 0.026594 0.000000 # Chi-squared of fit: 1.35 DOF: 36 RMS: 0.04 # Min/Max residuals: -0.10 0.10 # Exact a, adot, b, bdot, g, gdot: 1.695778E-05 2.884366E-02 2.429649E-06 4.261005E-03 2.666568E-02 -2.758473E-03 # Covariance matrix: 3.1314E-13 1.0582E-11 5.2077E-15 1.5803E-12 6.5693E-12 3.6954E-10 1.0582E-11 3.5069E-09 -2.7688E-13 5.0357E-10 9.3243E-10 1.1270E-07 5.2077E-15 -2.7688E-13 1.8535E-13 -2.2893E-13 1.6240E-13 -7.4161E-12 1.5803E-12 5.0357E-10 -2.2893E-13 7.2647E-11 1.3520E-10 1.6193E-08 6.5693E-12 9.3243E-10 1.6240E-13 1.3520E-10 3.9226E-10 3.0876E-08 3.6954E-10 1.1270E-07 -7.4161E-12 1.6193E-08 3.0876E-08 3.6280E-06 # lat0 lon0 xBary yBary zBary JD0 -15.718058 33.121069 0.283930 -0.260274 -0.925468 2457306.030273 # Heliocentric elements and errors Epoch: 2457300.5000 = 2015/10/05 Mean Anomaly: 335.24065 +/- 10.991 Argument of Peri: 334.70158 +/- 18.224 Long of Asc Node: 93.73908 +/- 0.087 Inclination: 17.39466 +/- 0.014 Eccentricity: 0.19826314 +/- 0.0426 Semi-Major Axis: 46.34100933 +/- 0.7063 Time of Perihelion: 2465225.2098 +/- 3513.2 Perihelion: 37.15329525 +/- 2.0534 Aphelion: 55.52872342 +/- 2.1476 Period (y) 315.4688 +/- 7.21 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.18996428 +/- 0.0225 Ecliptic Y 20.01209789 +/- 0.0146 Ecliptic Z -10.15919507 +/- 0.0075 Ecliptic XDOT -0.00174889 +/- 0.0002 Ecliptic YDOT 0.00238953 +/- 0.0001 Ecliptic ZDOT 0.00049791 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 38.42534552 +/- 0.0199 Geocenter to KBO 37.50138200 +/- 0.0279 # Hcoef: 8.30
The following table shows the complete astrometric record for 16SH57. 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 (16SH57) followed by the observatory code and reference code for the source of the astrometry.
2015 10 10.529484 02 24 51.168 -02 15 13.97 23.8r 16SH57 568 C~2TuX 2015 10 10.557238 02 24 51.034 -02 15 14.84 23.8r 16SH57 568 C~2TuX 2015 10 10.585578 02 24 50.905 -02 15 15.63 23.9r 16SH57 568 C~2TuX 2015 10 10.620710 02 24 50.738 -02 15 16.66 24.0r 16SH57 568 C~2TuX 2015 10 10.622828 02 24 50.725 -02 15 16.71 23.8r 16SH57 568 C~2TuX 2015 10 14.531277 02 24 32.364 -02 17 08.94 24.5g 16SH57 568 C~2TuX 2015 10 14.559043 02 24 32.233 -02 17 09.70 24.5g 16SH57 568 C~2TuX 2015 10 14.587420 02 24 32.091 -02 17 10.49 24.6g 16SH57 568 C~2TuX 2016 09 27.47695 02 31 38.72 -01 22 08.0 24.7g 16SH57 568 C~2eAI 2016 09 27.55926 02 31 38.38 -01 22 10.6 24.5g 16SH57 568 C~3sxZ 2016 09 27.59718 02 31 38.23 -01 22 11.8 24.8g 16SH57 568 C~2eAI 2016 09 27.59719 02 31 38.23 -01 22 11.8 24.8g 16SH57 568 C~3sxZ 2016 09 28.48621 02 31 34.71 -01 22 39.1 24.7g 16SH57 568 C~2eAI 2016 09 28.60677 02 31 34.21 -01 22 42.7 24.5g 16SH57 568 C~2eAI 2016 09 28.60678 02 31 34.22 -01 22 42.7 24.5g 16SH57 568 C~3sxZ 2016 09 29.46036 02 31 30.79 -01 23 08.9 24.6g 16SH57 568 C~2eAI 2016 09 29.49817 02 31 30.62 -01 23 10.1 24.7g 16SH57 568 C~3sxZ 2016 09 29.52081 02 31 30.53 -01 23 10.8 24.7g 16SH57 568 C~3sxZ 2016 09 29.54592 02 31 30.43 -01 23 11.5 24.6g 16SH57 568 C~3sxZ 2016 09 29.58020 02 31 30.29 -01 23 12.6 24.5g 16SH57 568 C~3sxZ 2016 09 29.61881 02 31 30.12 -01 23 13.8 24.8g 16SH57 568 C~3sxZ
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 0.03 0.00 0.02
2 0.0001 -2.18 -0.04 -0.15 -0.02
3 0.0002 -4.27 0.04 -0.25 -0.01
4 0.0002 -6.97 0.00 -0.39 0.00
5 0.0003 -7.17 -0.04 -0.37 0.03
6 0.0110 -304.04 -0.02 -14.43 -0.02
7 0.0110 -306.15 0.04 -14.50 -0.02
8 0.0111 -308.42 -0.02 -14.53 0.01
9 0.9663 6825.81 0.08 963.43 0.02
10 0.9665 6820.13 -0.06 962.69 0.00
11 0.9666 6817.60 -0.03 962.31 -0.05
12 0.9666 6817.60 -0.03 962.31 -0.05
13 0.9691 6758.66 0.02 954.21 -0.04
14 0.9694 6750.39 -0.04 953.33 0.08
15 0.9694 6750.53 0.10 953.28 0.03
16 0.9717 6693.23 0.10 945.77 -0.01
17 0.9719 6690.42 -0.10 945.49 0.02
18 0.9719 6688.92 -0.04 945.28 -0.01
19 0.9720 6687.27 0.04 945.12 0.03
20 0.9721 6684.92 0.06 944.79 -0.03
21 0.9722 6682.11 -0.09 944.51 0.00
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.
16SH57 quality flag:2 Type: SCATEXTD SCATNEAR SCATEXTD axisobj 46.910 50.094 46.476 ecceobj 0.205 0.343 0.186 incobj 17.394 17.437 17.384 qmin 36.138 31.374 36.898 qmax 57.274 72.845 55.652 amean 46.501 51.137 46.072 amin 46.090 48.779 45.678 amax 46.995 52.633 46.545 emean 0.204 0.358 0.182 emin 0.191 0.330 0.168 emax 0.220 0.384 0.197 imean 15.619 15.845 15.692 imin 15.013 13.954 15.138 imax 16.198 17.436 16.209 excite_mean 0.338 0.450 0.326 fracstop 1.000 1.000 1.000 cjmean 2.990 2.930 2.995 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 179.4 169.8 178.3 kozaiamp 180.0 180.0 179.9