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: 613857 # Created Sun Dec 22 02:07:49 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 32 observations of 32 # Arc: 10.25y # First observation: 2006/09/25 # Last observation: 2016/12/25 # Chi-squared of fit: 32.18 DOF: 58 RMS: 0.18 # Min/Max residuals: -0.52 0.23 # Exact a, adot, b, bdot, g, gdot: 1.612444E-05 2.512474E-02 4.581235E-06 6.989099E-03 2.575187E-02 -3.036860E-03 # Covariance matrix: 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 # lat0 lon0 xBary yBary zBary JD0 -16.648830 27.756352 0.433377 -0.259954 -0.869786 2454003.834424 # Heliocentric elements and errors Epoch: 2454004.5000 = 2006/09/26 Mean Anomaly: 295.30602 +/- 0.000 Argument of Peri: 31.47436 +/- 0.000 Long of Asc Node: 72.46020 +/- 0.000 Inclination: 22.30819 +/- 0.000 Eccentricity: 0.13036717 +/- 0.0000 Semi-Major Axis: 41.38697820 +/- 0.0000 Time of Perihelion: 2471481.0380 +/- 0.0 Perihelion: 35.99147503 +/- 0.0000 Aphelion: 46.78248137 +/- 0.0000 Period (y) 266.2587 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.92545355 +/- 0.0000 Ecliptic Y 17.36263872 +/- 0.0000 Ecliptic Z -11.12546140 +/- 0.0000 Ecliptic XDOT -0.00132458 +/- 0.0000 Ecliptic YDOT 0.00231422 +/- 0.0000 Ecliptic ZDOT 0.00080436 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.70112895 +/- 0.0000 Geocenter to KBO 38.83223816 +/- 0.0000 # Hcoef: 7.45
The following table shows the complete astrometric record for 613857. 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 (613857) followed by the observatory code and reference code for the source of the astrometry.
2006 09 25.33367 02 06 44.48 -04 53 52.2 22.6I 613857 807 Cx2653 2006 10 17.28065 02 05 03.77 -05 04 14.6 23.0R 613857 807 Cx2653 2007 10 04.30992 02 10 57.22 -04 05 00.2 22.5I 613857 807 Cx2653 2007 10 08.26344 02 10 39.10 -04 06 53.0 23.2R 613857 807 Cx2653 2007 10 08.29975 02 10 38.92 -04 06 54.0 22.8I 613857 807 Cx2653 2007 10 10.33195 02 10 29.38 -04 07 50.4 22.9R 613857 807 Cx2653 2007 10 12.28312 02 10 20.07 -04 08 44.0 22.9R 613857 807 Cx2653 2007 10 14.26041 02 10 10.57 -04 09 36.0 22.8R 613857 807 Cx2653 2007 11 05.25304 02 08 21.09 -04 17 34.9 23.1R 613857 807 Cx2653 2007 11 05.27699 02 08 20.99 -04 17 35.3 22.5I 613857 807 Cx2653 2007 11 11.08585 02 07 52.48 -04 19 01.3 23.1R 613857 807 Cx2653 2007 11 13.07951 02 07 42.86 -04 19 26.2 23.1R 613857 807 Cx2653 2007 11 15.07854 02 07 33.34 -04 19 48.8 23.2R 613857 807 Cx2653 2007 11 15.11389 02 07 33.17 -04 19 49.4 22.9I 613857 807 Cx2653 2007 11 17.07493 02 07 23.98 -04 20 09.0 23.1R 613857 807 Cx2653 2007 11 17.17134 02 07 23.51 -04 20 09.9 22.8I 613857 807 Cx2653 2008 10 31.341567 02 13 34.12 -03 22 41.4 613857 645 C~1RHp 2008 10 31.342396 02 13 34.12 -03 22 41.4 613857 645 C~1RHp 2008 10 31.344884 02 13 34.10 -03 22 41.5 613857 645 C~1RHp 2013 11 05.11365 02 38 00.59 +01 10 34.8 23.4r 613857 W84 C~2J94 2013 11 05.20710 02 38 00.10 +01 10 33.0 613857 W84 C~2J94 2013 11 05.26284 02 37 59.81 +01 10 32.0 613857 W84 C~2J94 2013 12 01.19557 02 35 52.081 +01 05 20.03 23.3r 613857 W84 C~4yH4 2013 12 01.19696 02 35 52.081 +01 05 19.98 23.2i 613857 W84 C~4yH4 2013 12 20.14218 02 34 38.243 +01 05 34.74 23.2i 613857 W84 C~4yH4 2013 12 20.14356 02 34 38.231 +01 05 34.67 22.6z 613857 W84 C~4yH4 2014 10 22.34164 02 44 15.91 +02 11 20.2 23.0R 613857 G37 C~1BxQ 2014 10 22.43490 02 44 15.43 +02 11 17.9 613857 G37 C~1BxQ 2016 09 13.35311 02 57 01.200 +04 18 50.28 23.2r 613857 W84 C~4yH4 2016 11 25.14091 02 51 31.830 +03 54 05.39 22.8i 613857 W84 C~4yH4 2016 11 25.14227 02 51 31.821 +03 54 05.51 24.0g 613857 W84 C~4yH4 2016 12 25.13567 02 49 26.183 +03 53 06.42 24.0r 613857 W84 C~4yH4
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 -0.11 0.00 -0.11
2 0.0601 0.00 0.11 0.00 0.14
3 1.0239 0.00 0.17 0.00 0.21
4 1.0347 0.00 0.10 0.00 0.16
5 1.0348 0.00 -0.02 0.00 0.18
6 1.0404 0.00 0.07 0.00 0.19
7 1.0457 0.00 -0.29 0.00 -0.35
8 1.0511 0.00 0.09 0.00 0.22
9 1.1113 0.00 -0.22 0.00 -0.03
10 1.1114 0.00 0.09 0.00 -0.04
11 1.1273 0.00 0.13 0.00 0.11
12 1.1328 0.00 -0.06 0.00 0.20
13 1.1382 0.00 -0.14 0.00 0.22
14 1.1383 0.00 -0.14 0.00 -0.00
15 1.1437 0.00 -0.02 0.00 0.12
16 1.1440 0.00 -0.22 0.00 0.13
17 2.1000 0.00 0.16 0.00 -0.48
18 2.1000 0.00 0.23 0.00 -0.47
19 2.1000 0.00 0.12 0.00 -0.52
20 7.1123 0.00 0.10 0.00 0.09
21 7.1126 0.00 0.11 0.00 -0.00
22 7.1127 0.00 0.15 0.00 0.02
23 7.1837 0.00 0.03 0.00 -0.15
24 7.1837 0.00 0.12 0.00 -0.19
25 7.2356 0.00 0.11 0.00 0.02
26 7.2356 0.00 -0.00 0.00 -0.06
27 8.0739 0.00 -0.20 0.00 0.22
28 8.0742 0.00 -0.29 0.00 0.06
29 9.9686 0.00 0.03 0.00 -0.08
30 10.1679 0.00 0.00 0.00 0.00
31 10.1679 0.00 -0.03 0.00 0.14
32 10.2500 0.00 -0.08 0.00 0.10
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.
613857 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.886 41.886 41.886 ecceobj 0.134 0.134 0.134 incobj 22.244 22.244 22.244 qmin 34.939 34.879 34.840 qmax 48.675 48.684 48.798 amean 41.613 41.614 41.648 amin 41.234 41.246 41.246 amax 42.032 42.035 42.051 emean 0.138 0.139 0.139 emin 0.118 0.119 0.119 emax 0.159 0.159 0.161 imean 20.577 20.576 20.590 imin 19.853 19.822 19.849 imax 21.306 21.340 21.326 excite_mean 0.378 0.378 0.378 fracstop 1.000 1.000 1.000 cjmean 2.904 2.904 2.904 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 174.7 175.9 177.3 kozaiamp 180.0 179.9 180.0