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: 16FO59 # Created Tue May 7 01:17:06 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 29 observations of 29 # Arc: 10.97y # First observation: 2013/03/17 # Last observation: 2024/03/06 # Chi-squared of fit: 66.68 DOF: 52 RMS: 0.27 # Min/Max residuals: -0.65 0.67 # Exact a, adot, b, bdot, g, gdot: 1.847330E-05 3.156104E-02 6.088583E-06 9.924627E-03 2.768475E-02 2.528645E-03 # Covariance matrix: 3.5693E-13 -9.3693E-14 2.9977E-14 -1.8295E-14 5.0029E-13 -1.4834E-13 -9.3693E-14 2.2348E-13 -1.4844E-13 8.4699E-14 1.4988E-12 6.8283E-13 2.9977E-14 -1.4844E-13 2.2010E-13 -7.4322E-14 -1.1226E-12 -4.7129E-13 -1.8295E-14 8.4699E-14 -7.4322E-14 3.7057E-14 6.3476E-13 2.6839E-13 5.0029E-13 1.4988E-12 -1.1226E-12 6.3476E-13 1.5242E-11 5.1132E-12 -1.4834E-13 6.8283E-13 -4.7129E-13 2.6839E-13 5.1132E-12 2.1633E-12 # lat0 lon0 xBary yBary zBary JD0 -8.541700 177.795314 0.019854 -0.147791 -0.984528 2456368.629758 # Heliocentric elements and errors Epoch: 2456368.5000 = 2013/03/17 Mean Anomaly: 7.65188 +/- 0.016 Argument of Peri: 316.81601 +/- 0.027 Long of Asc Node: 202.45811 +/- 0.000 Inclination: 19.27597 +/- 0.000 Eccentricity: 0.35823526 +/- 0.0005 Semi-Major Axis: 57.13456801 +/- 0.0540 Time of Perihelion: 2453015.6640 +/- 8.4 Perihelion: 36.66695145 +/- 0.0450 Aphelion: 77.60218457 +/- 0.0788 Period (y) 431.8736 +/- 0.61 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -36.68717026 +/- 0.0050 Ecliptic Y 1.43414373 +/- 0.0002 Ecliptic Z -5.36482718 +/- 0.0007 Ecliptic XDOT -0.00051912 +/- 0.0000 Ecliptic YDOT -0.00310317 +/- 0.0000 Ecliptic ZDOT 0.00093359 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.10502144 +/- 0.0050 Geocenter to KBO 36.12094847 +/- 0.0051 # Hcoef: 7.45
The following table shows the complete astrometric record for 16FO59. 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 (16FO59) followed by the observatory code and reference code for the source of the astrometry.
2013 03 17.12898 11 38 16.07 -06 57 28.5 23.0r 16FO59 W84 C~7zow 2013 03 17.19072 11 38 15.78 -06 57 26.2 16FO59 W84 C~7zow 2013 03 17.25601 11 38 15.45 -06 57 23.8 16FO59 W84 C~7zow 2014 03 25.07871 11 45 14.03 -07 04 35.4 16FO59 W84 C~7zow 2014 03 25.14426 11 45 13.72 -07 04 32.9 23.3V 16FO59 W84 C~7zow 2014 03 25.20846 11 45 13.41 -07 04 30.5 16FO59 W84 C~7zow 2016 03 28.27794 12 00 00.46 -07 24 47.1 23.7V 16FO59 W84 C~1qoK 2016 03 28.28488 12 00 00.46 -07 24 47.1 16FO59 W84 C~1qoK 2016 03 28.29182 12 00 00.46 -07 24 47.1 16FO59 W84 C~1qoK 2016 03 29.22817 11 59 55.96 -07 24 11.3 16FO59 W84 C~1qoK 2016 03 29.23511 11 59 55.96 -07 24 11.2 16FO59 W84 C~1qoK 2016 03 29.24205 11 59 55.95 -07 24 11.1 16FO59 W84 C~1qoK 2016 03 30.25282 11 59 51.14 -07 23 31.7 16FO59 W84 C~1qoK 2016 03 30.25976 11 59 51.13 -07 23 31.8 16FO59 W84 C~1qoK 2016 03 30.26670 11 59 51.14 -07 23 31.9 16FO59 W84 C~1qoK 2016 03 31.21315 11 59 46.61 -07 22 55.3 16FO59 W84 C~1qoK 2016 03 31.22009 11 59 46.62 -07 22 55.3 16FO59 W84 C~1qoK 2016 03 31.22703 11 59 46.62 -07 22 55.2 16FO59 W84 C~1qoK 2016 04 01.22720 11 59 41.86 -07 22 16.6 16FO59 W84 C~1qoK 2016 04 01.23414 11 59 41.87 -07 22 16.5 16FO59 W84 C~1qoK 2016 04 01.24108 11 59 41.87 -07 22 16.6 16FO59 W84 C~1qoK 2016 04 09.154199 11 59 05.72 -07 17 12.1 22.9r 16FO59 W84 C~5SAz 2016 04 10.144315 11 59 01.34 -07 16 33.6 23.2g 16FO59 W84 C~5SAz 2024 03 04.18566 12 59 54.15 -08 45 32.4 16FO59 W93 C~7xao 2024 03 04.22410 12 59 53.99 -08 45 31.1 22.8R 16FO59 W93 C~7xao 2024 03 04.26260 12 59 53.84 -08 45 30.3 23.4R 16FO59 W93 C~7xao 2024 03 06.17355 12 59 46.52 -08 44 37.2 22.8R 16FO59 W93 C~7xao 2024 03 06.19801 12 59 46.43 -08 44 36.4 23.0R 16FO59 W93 C~7xao 2024 03 06.22238 12 59 46.33 -08 44 35.9 16FO59 W93 C~7xao
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 -0.12 0.00 -0.04
2 0.0002 0.00 0.09 0.00 -0.02
3 0.0003 0.00 -0.03 0.00 -0.04
4 1.0211 0.00 -0.06 0.00 0.02
5 1.0213 0.00 0.05 0.00 0.02
6 1.0214 0.00 0.08 0.00 -0.03
7 3.0312 0.00 -0.49 0.00 0.28
8 3.0312 0.00 0.02 0.00 0.02
9 3.0312 0.00 0.52 0.00 -0.24
10 3.0338 0.00 -0.57 0.00 0.01
11 3.0338 0.00 -0.07 0.00 -0.16
12 3.0338 0.00 0.28 0.00 -0.32
13 3.0366 0.00 -0.33 0.00 0.59
14 3.0366 0.00 0.02 0.00 0.22
15 3.0367 0.00 0.67 0.00 -0.14
16 3.0392 0.00 -0.62 0.00 0.32
17 3.0393 0.00 0.03 0.00 0.05
18 3.0393 0.00 0.53 0.00 -0.11
19 3.0420 0.00 -0.65 0.00 0.21
20 3.0420 0.00 -0.00 0.00 0.04
21 3.0421 0.00 0.49 0.00 -0.32
22 3.0637 0.00 0.02 0.00 -0.33
23 3.0664 0.00 -0.02 0.00 0.06
24 10.9652 0.00 0.18 0.00 -0.23
25 10.9654 0.00 0.00 0.00 0.03
26 10.9655 0.00 -0.02 0.00 -0.22
27 10.9707 0.00 -0.09 0.00 0.10
28 10.9708 0.00 0.01 0.00 0.22
29 10.9708 0.00 -0.04 0.00 0.04
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.
16FO59 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 56.800 56.800 56.800 ecceobj 0.354 0.354 0.354 incobj 19.292 19.292 19.292 qmin 35.753 35.752 35.748 qmax 79.357 79.362 79.341 amean 57.055 57.055 57.055 amin 56.423 56.424 56.457 amax 57.835 57.866 57.864 emean 0.353 0.353 0.353 emin 0.336 0.336 0.336 emax 0.372 0.372 0.372 imean 19.767 19.769 19.766 imin 19.001 19.001 19.001 imax 20.563 20.558 20.560 excite_mean 0.489 0.489 0.489 fracstop 1.000 1.000 1.000 cjmean 2.951 2.951 2.951 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 184.7 184.6 184.7 kozaiamp 180.0 180.0 180.0