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: 16SF57 # Created Sun Dec 22 02:10:52 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 29 observations of 29 # Arc: 5.97y # First observation: 2013/11/13 # Last observation: 2019/11/02 # Chi-squared of fit: 14.73 DOF: 52 RMS: 0.13 # Min/Max residuals: -0.32 0.26 # Exact a, adot, b, bdot, g, gdot: 1.499533E-05 2.832604E-02 1.749884E-06 3.148021E-03 2.749188E-02 5.618232E-03 # Covariance matrix: 7.2889E-13 -4.2400E-13 5.0200E-14 -3.8853E-14 -7.5710E-14 -1.9207E-12 -4.2400E-13 3.0404E-13 -3.8983E-14 3.0938E-14 3.7472E-14 1.5428E-12 5.0200E-14 -3.8983E-14 2.9809E-13 -7.9847E-14 -1.9559E-14 -2.1554E-13 -3.8853E-14 3.0938E-14 -7.9847E-14 2.7155E-14 7.2844E-15 1.7048E-13 -7.5710E-14 3.7472E-14 -1.9559E-14 7.2844E-15 2.4789E-13 2.2322E-13 -1.9207E-12 1.5428E-12 -2.1554E-13 1.7048E-13 2.2322E-13 8.4919E-12 # lat0 lon0 xBary yBary zBary JD0 -16.038433 25.589601 -0.417344 -0.247353 -0.860938 2456609.612288 # Heliocentric elements and errors Epoch: 2456610.5000 = 2013/11/14 Mean Anomaly: 63.74761 +/- 0.017 Argument of Peri: 204.39012 +/- 0.016 Long of Asc Node: 93.60094 +/- 0.001 Inclination: 16.89414 +/- 0.000 Eccentricity: 0.20954212 +/- 0.0001 Semi-Major Axis: 39.32133760 +/- 0.0041 Time of Perihelion: 2440662.6457 +/- 4.8 Perihelion: 31.08186101 +/- 0.0053 Aphelion: 47.56081419 +/- 0.0065 Period (y) 246.5759 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.15623983 +/- 0.0006 Ecliptic Y 15.86555796 +/- 0.0003 Ecliptic Z -10.04957746 +/- 0.0002 Ecliptic XDOT -0.00066148 +/- 0.0000 Ecliptic YDOT 0.00281212 +/- 0.0000 Ecliptic ZDOT 0.00014686 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.23875054 +/- 0.0005 Geocenter to KBO 36.37429939 +/- 0.0007 # Hcoef: 7.85
The following table shows the complete astrometric record for 16SF57. 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 (16SF57) followed by the observatory code and reference code for the source of the astrometry.
2013 11 13.11151 01 58 04.084 -05 04 09.88 22.2z 16SF57 W84 C~55Zx 2014 10 29.26414 02 05 07.720 -04 14 31.50 23.9r 16SF57 W84 C~55Zx 2014 12 16.14751 02 01 38.653 -04 20 40.35 23.3i 16SF57 W84 C~55Zx 2015 01 17.06418 02 00 55.408 -04 09 45.05 22.7z 16SF57 W84 C~55Zx 2015 12 04.06528 02 08 00.691 -03 37 22.57 23.3i 16SF57 W84 C~55Zx 2015 12 04.06665 02 08 00.697 -03 37 22.51 23.2r 16SF57 W84 C~55Zx 2015 12 05.17199 02 07 56.392 -03 37 23.10 23.9r 16SF57 W84 C~55Zx 2015 12 05.17336 02 07 56.380 -03 37 23.37 22.9i 16SF57 W84 C~55Zx 2016 09 10.40460 02 20 01.411 -02 21 15.86 23.5i 16SF57 W84 C~55Zx 2016 09 27.47408 02 18 58.74 -02 30 35.5 24.7g 16SF57 568 C~2eAI 2016 09 27.53449 02 18 58.48 -02 30 37.4 24.4g 16SF57 568 C~2eAI 2016 09 27.59433 02 18 58.22 -02 30 39.4 24.6g 16SF57 568 C~2eAI 2016 09 28.48334 02 18 54.45 -02 31 08.2 24.4g 16SF57 568 C~2eAI 2016 09 28.60394 02 18 53.92 -02 31 12.2 24.6g 16SF57 568 C~2eAI 2016 09 29.54306 02 18 49.86 -02 31 42.5 24.6g 16SF57 568 C~2eAI 2016 09 29.61594 02 18 49.54 -02 31 45.0 24.4g 16SF57 568 C~2eAI 2016 11 07.16393 02 15 38.412 -02 48 56.75 23.2i 16SF57 W84 C~55Zx 2016 11 07.16529 02 15 38.414 -02 48 56.64 23.2z 16SF57 W84 C~55Zx 2017 10 29.27175 02 21 58.233 -02 01 56.54 24.0r 16SF57 W84 C~55Zx 2017 10 29.27312 02 21 58.221 -02 01 56.64 23.2i 16SF57 W84 C~55Zx 2017 11 23.11235 02 19 53.901 -02 08 54.40 22.7z 16SF57 W84 C~55Zx 2017 11 23.16169 02 19 53.660 -02 08 54.83 23.7i 16SF57 W84 C~55Zx 2017 11 23.16309 02 19 53.663 -02 08 54.74 23.8r 16SF57 W84 C~55Zx 2017 12 15.11998 02 18 25.334 -02 09 41.69 23.2z 16SF57 W84 C~55Zx 2018 12 01.06787 02 24 47.372 -01 26 37.84 23.4r 16SF57 W84 C~55Zx 2018 12 01.07061 02 24 47.350 -01 26 37.95 23.3r 16SF57 W84 C~55Zx 2019 11 02.42952 02 32 32.95 -00 36 57.4 23.7i 16SF57 T09 C~7n2Y 2019 11 02.45131 02 32 32.84 -00 36 57.8 23.6i 16SF57 T09 C~7n2Y 2019 11 02.49727 02 32 32.61 -00 36 58.9 23.5i 16SF57 T09 C~7n2Y
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 0.25 0.00 0.11
2 0.9587 0.00 -0.08 0.00 0.08
3 1.0898 0.00 -0.06 0.00 -0.15
4 1.1771 0.00 -0.26 0.00 0.07
5 2.0560 0.00 -0.17 0.00 0.20
6 2.0560 0.00 0.00 0.00 0.26
7 2.0590 0.00 0.06 0.00 0.10
8 2.0590 0.00 -0.04 0.00 -0.17
9 2.8263 0.00 0.20 0.00 0.11
10 2.8730 0.00 -0.09 0.00 -0.03
11 2.8732 0.00 -0.07 0.00 0.03
12 2.8733 0.00 -0.09 0.00 -0.03
13 2.8758 0.00 0.06 0.00 0.02
14 2.8761 0.00 0.03 0.00 -0.07
15 2.8787 0.00 -0.07 0.00 -0.01
16 2.8789 0.00 -0.03 0.00 -0.16
17 2.9844 0.00 0.02 0.00 -0.32
18 2.9844 0.00 0.16 0.00 -0.18
19 3.9594 0.00 0.09 0.00 0.02
20 3.9594 0.00 0.01 0.00 -0.05
21 4.0274 0.00 0.15 0.00 -0.00
22 4.0275 0.00 0.04 0.00 0.04
23 4.0275 0.00 0.18 0.00 0.14
24 4.0876 0.00 0.05 0.00 -0.10
25 5.0485 0.00 0.18 0.00 -0.04
26 5.0485 0.00 0.03 0.00 -0.13
27 5.9694 0.00 -0.21 0.00 0.10
28 5.9694 0.00 -0.15 0.00 0.17
29 5.9696 0.00 0.01 0.00 0.07
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.
16SF57 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.575 39.575 39.575 ecceobj 0.214 0.214 0.214 incobj 16.904 16.904 16.904 qmin 28.050 28.027 28.041 qmax 51.455 51.433 51.454 amean 39.455 39.455 39.455 amin 38.984 38.964 38.983 amax 40.010 40.008 40.007 emean 0.234 0.235 0.235 emin 0.181 0.181 0.181 emax 0.288 0.288 0.288 imean 14.404 14.377 14.393 imin 11.631 11.624 11.622 imax 16.518 16.519 16.517 excite_mean 0.344 0.344 0.344 fracstop 1.000 1.000 1.000 cjmean 2.918 2.918 2.918 libcent 0 180.4 180.0 179.9 libamp 0 99.9 100.0 100.0 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 104.1 106.6 105.1 kozaiamp 94.4 94.4 94.4