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: 16FG59 # Created Wed Jul 17 01:11:17 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 18.06y # First observation: 2001/01/23 # Last observation: 2019/02/13 # Chi-squared of fit: 44.21 DOF: 46 RMS: 0.23 # Min/Max residuals: -0.44 0.65 # Exact a, adot, b, bdot, g, gdot: 1.513530E-05 2.225513E-02 -5.090335E-06 -9.104835E-03 2.265605E-02 -9.604775E-04 # Covariance matrix: 3.5884E-13 5.1491E-14 1.4592E-14 -2.2673E-14 3.5678E-13 1.5510E-13 5.1491E-14 5.7982E-14 7.6067E-15 -2.4186E-14 9.9487E-14 1.6194E-13 1.4592E-14 7.6067E-15 1.1473E-13 -1.0628E-14 2.2530E-14 2.1139E-14 -2.2673E-14 -2.4186E-14 -1.0628E-14 1.1196E-14 -3.8965E-14 -6.8791E-14 3.5678E-13 9.9487E-14 2.2530E-14 -3.8965E-14 5.2318E-13 2.6542E-13 1.5510E-13 1.6194E-13 2.1139E-14 -6.8791E-14 2.6542E-13 4.6039E-13 # lat0 lon0 xBary yBary zBary JD0 -10.694361 166.579598 0.668751 -0.133728 -0.707456 2451932.772503 # Heliocentric elements and errors Epoch: 2451932.5000 = 2001/01/23 Mean Anomaly: 352.73327 +/- 0.004 Argument of Peri: 219.52067 +/- 0.007 Long of Asc Node: 321.80265 +/- 0.000 Inclination: 24.63123 +/- 0.000 Eccentricity: 0.28388596 +/- 0.0001 Semi-Major Axis: 62.24248924 +/- 0.0113 Time of Perihelion: 2455552.9749 +/- 47.9 Perihelion: 44.57272044 +/- 0.0106 Aphelion: 79.91225803 +/- 0.0160 Period (y) 491.0646 +/- 0.13 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -42.72811157 +/- 0.0013 Ecliptic Y 10.88826110 +/- 0.0003 Ecliptic Z -8.19099152 +/- 0.0003 Ecliptic XDOT -0.00032288 +/- 0.0000 Ecliptic YDOT -0.00268615 +/- 0.0000 Ecliptic ZDOT -0.00105943 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.84798250 +/- 0.0013 Geocenter to KBO 44.13836798 +/- 0.0014 # Hcoef: 6.85
The following table shows the complete astrometric record for 16FG59. 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 (16FG59) followed by the observatory code and reference code for the source of the astrometry.
2001 01 23.27176 10 54 00.81 -04 33 43.4 16FG59 807 C~83ED 2001 01 23.29637 10 54 00.73 -04 33 43.2 16FG59 807 C~83ED 2001 01 23.30867 10 54 00.69 -04 33 43.1 22.0R 16FG59 807 C~83ED 2001 01 23.32097 10 54 00.64 -04 33 42.7 16FG59 807 C~83ED 2001 03 27.05388 10 49 42.96 -04 15 57.0 23.2V 16FG59 807 C~83ED 2001 03 27.06201 10 49 42.93 -04 15 56.8 23.1V 16FG59 807 C~83ED 2001 03 27.07014 10 49 42.89 -04 15 56.5 24.1V 16FG59 807 C~83ED 2001 03 27.07828 10 49 42.88 -04 15 56.6 23.3V 16FG59 807 C~83ED 2001 03 27.08640 10 49 42.84 -04 15 56.3 23.2V 16FG59 807 C~83ED 2001 03 27.14902 10 49 42.60 -04 15 55.0 22.7R 16FG59 807 C~83ED 2001 03 27.16063 10 49 42.52 -04 15 53.9 23.9R 16FG59 807 C~83ED 2001 03 27.17223 10 49 42.48 -04 15 54.2 23.2R 16FG59 807 C~83ED 2001 03 27.18384 10 49 42.46 -04 15 54.0 22.9R 16FG59 807 C~83ED 2015 04 13.03287 11 45 59.67 -17 46 35.0 16FG59 W84 C~83ED 2015 04 13.13580 11 45 59.24 -17 46 31.9 23.7V 16FG59 W84 C~83ED 2015 04 13.25787 11 45 58.75 -17 46 28.2 16FG59 W84 C~83ED 2016 03 28.14917 11 51 26.26 -18 50 13.2 23.8V 16FG59 W84 C~1qoJ 2016 03 28.15611 11 51 26.26 -18 50 13.3 16FG59 W84 C~1qoJ 2016 03 28.16305 11 51 26.26 -18 50 13.4 16FG59 W84 C~1qoJ 2016 03 31.19753 11 51 12.70 -18 48 55.0 16FG59 W84 C~1qoJ 2016 03 31.20447 11 51 12.70 -18 48 55.0 16FG59 W84 C~1qoJ 2016 03 31.21141 11 51 12.69 -18 48 55.0 16FG59 W84 C~1qoJ 2016 04 01.21150 11 51 08.23 -18 48 28.2 16FG59 W84 C~1qoJ 2016 04 01.21844 11 51 08.23 -18 48 28.2 16FG59 W84 C~1qoJ 2016 04 01.22538 11 51 08.24 -18 48 28.3 16FG59 W84 C~1qoJ 2019 02 13.383347 12 07 54.779 -21 45 31.96 23.1i 16FG59 W84 C~85Hz
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 -0.27
2 0.0001 0.00 0.01 0.00 -0.16
3 0.0001 0.00 0.03 0.00 -0.11
4 0.0001 0.00 -0.10 0.00 0.24
5 0.1719 0.00 -0.05 0.00 0.07
6 0.1719 0.00 -0.02 0.00 0.07
7 0.1719 0.00 -0.13 0.00 0.17
8 0.1720 0.00 0.21 0.00 -0.13
9 0.1720 0.00 0.09 0.00 -0.03
10 0.1721 0.00 0.23 0.00 -0.27
11 0.1722 0.00 -0.27 0.00 0.55
12 0.1722 0.00 -0.18 0.00 -0.03
13 0.1722 0.00 0.21 0.00 -0.12
14 14.2170 0.00 -0.01 0.00 -0.14
15 14.2173 0.00 -0.19 0.00 -0.08
16 14.2176 0.00 -0.12 0.00 -0.01
17 15.1756 0.00 -0.44 0.00 0.32
18 15.1756 0.00 0.04 0.00 0.04
19 15.1756 0.00 0.51 0.00 -0.23
20 15.1839 0.00 -0.43 0.00 0.22
21 15.1839 0.00 0.03 0.00 0.04
22 15.1840 0.00 0.35 0.00 -0.14
23 15.1867 0.00 -0.43 0.00 0.24
24 15.1867 0.00 0.03 0.00 0.06
25 15.1867 0.00 0.65 0.00 -0.23
26 18.0564 0.00 -0.09 0.00 -0.06
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.
16FG59 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 61.956 61.956 61.956 ecceobj 0.281 0.281 0.281 incobj 24.668 24.668 24.668 qmin 43.337 43.315 43.325 qmax 82.354 82.262 82.431 amean 62.394 62.391 62.394 amin 61.721 61.737 61.751 amax 63.231 63.186 63.209 emean 0.286 0.286 0.286 emin 0.269 0.269 0.269 emax 0.304 0.303 0.304 imean 25.926 25.928 25.926 imin 25.494 25.500 25.499 imax 26.401 26.410 26.403 excite_mean 0.523 0.523 0.523 fracstop 1.000 1.000 1.000 cjmean 2.963 2.963 2.963 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 183.9 183.6 183.8 kozaiamp 180.0 180.0 180.0