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: 500856
# Created Sun Nov 24 02:07:10 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 24 observations of 24
# Arc: 6.13y
# First observation: 2013/04/17
# Last observation: 2019/06/06
# Chi-squared of fit: 18.33 DOF: 42 RMS: 0.15
# Min/Max residuals: -0.34 0.41
# Exact a, adot, b, bdot, g, gdot:
1.639438E-05 2.136738E-02 -2.288000E-06 -1.313095E-03 2.291038E-02 -1.088594E-04
# 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
1.116297 -142.523084 0.173719 0.019314 -0.990384 2456399.964708
# Heliocentric elements and errors
Epoch: 2456400.5000 = 2013/04/18
Mean Anomaly: 204.44053 +/- 0.000
Argument of Peri: 319.11487 +/- 0.000
Long of Asc Node: 54.47305 +/- 0.000
Inclination: 3.68225 +/- 0.000
Eccentricity: 0.01736897 +/- 0.0000
Semi-Major Axis: 43.94000728 +/- 0.0000
Time of Perihelion: 2502371.3537 +/- 0.0
Perihelion: 43.17681480 +/- 0.0000
Aphelion: 44.70319976 +/- 0.0000
Period (y) 291.2718 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -35.52344853 +/- 0.0000
Ecliptic Y -27.01530485 +/- 0.0000
Ecliptic Z 0.85028979 +/- 0.0000
Ecliptic XDOT 0.00155522 +/- 0.0000
Ecliptic YDOT -0.00202010 +/- 0.0000
Ecliptic ZDOT -0.00015700 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.63704168 +/- 0.0000
Geocenter to KBO 43.64838049 +/- 0.0000
# Hcoef: 7.61
The following table shows the complete astrometric record for 500856. 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 (500856) followed by the observatory code and reference code for the source of the astrometry.
2013 04 17.46393 14 21 59.046 -12 57 00.72 23.7r 500856 568 C~1XRc 2013 04 19.44191 14 21 50.380 -12 56 18.57 23.9r 500856 568 C~1XRc 2013 04 19.49245 14 21 50.151 -12 56 17.64 23.8r 500856 568 C~1XRc 2013 04 19.54534 14 21 49.915 -12 56 16.59 23.8r 500856 568 C~1XRc 2013 05 11.47819 14 20 12.898 -12 48 27.47 24.1r 500856 568 C~1XRc 2013 05 12.48047 14 20 08.586 -12 48 07.08 24.4r 500856 568 C~1XRc 2013 06 12.37556 14 18 13.829 -12 39 14.99 24.8r 500856 568 C~1XRc 2013 06 12.42048 14 18 13.691 -12 39 14.50 24.2r 500856 568 C~1XRc 2013 07 04.33511 14 17 26.158 -12 35 58.44 23.9r 500856 568 C~1XRc 2013 07 06.34313 14 17 23.612 -12 35 49.76 23.9r 500856 568 C~1XRc 2013 08 05.27111 14 17 25.332 -12 37 07.58 24.1r 500856 568 C~1XRc 2014 02 24.59345 14 29 26.101 -13 38 40.40 24.4r 500856 568 C~1XRc 2014 02 25.57639 14 29 24.634 -13 38 32.12 23.3r 500856 568 C~1XRc 2014 02 28.52445 14 29 19.625 -13 38 06.42 24.5r 500856 568 C~1XRc 2014 04 04.42723 14 27 34.360 -13 29 23.92 24.1r 500856 568 C~1XRc 2014 04 04.46649 14 27 34.201 -13 29 23.14 23.7r 500856 568 C~1XRc 2014 04 05.54119 14 27 29.900 -13 29 02.19 500856 568 C~1XRc 2015 01 26.62763 14 34 06.928 -14 06 14.80 24.3r 500856 568 C~1XRc 2016 05 06.41084 14 34 36.618 -14 13 15.84 23.9r 500856 568 C~2KOG 2016 05 29.35189 14 32 59.135 -14 05 57.42 24.6w 500856 568 C~2KOG 2017 01 31.65143 14 43 27.746 -14 59 18.08 24.4w 500856 568 C~2KOG 2017 02 03.64785 14 43 30.202 -14 59 28.19 500856 568 C~2KOG 2019 06 06.206470 14 46 44.254 -15 24 29.82 23.8G 500856 G37 C~39jI 2019 06 06.254610 14 46 44.082 -15 24 28.70 500856 G37 C~39jI
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 -0.24 0.00 0.38
2 0.0054 0.00 0.01 0.00 0.04
3 0.0056 0.00 -0.02 0.00 -0.12
4 0.0057 0.00 -0.01 0.00 -0.21
5 0.0657 0.00 0.03 0.00 0.04
6 0.0685 0.00 0.08 0.00 -0.14
7 0.1531 0.00 -0.09 0.00 0.02
8 0.1532 0.00 -0.14 0.00 -0.08
9 0.2132 0.00 -0.01 0.00 -0.13
10 0.2187 0.00 0.13 0.00 0.02
11 0.3006 0.00 0.04 0.00 -0.34
12 0.8573 0.00 -0.08 0.00 -0.07
13 0.8600 0.00 0.41 0.00 0.31
14 0.8681 0.00 -0.05 0.00 0.06
15 0.9636 0.00 0.03 0.00 0.05
16 0.9637 0.00 0.04 0.00 0.07
17 0.9667 0.00 0.15 0.00 0.10
18 1.7773 0.00 -0.26 0.00 0.14
19 3.0526 0.00 -0.11 0.00 0.14
20 3.1154 0.00 0.02 0.00 -0.05
21 3.7924 0.00 -0.05 0.00 -0.05
22 3.8006 0.00 0.22 0.00 -0.24
23 6.1348 0.00 -0.14 0.00 -0.16
24 6.1350 0.00 0.05 0.00 0.20
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.
500856 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.771 43.771 43.771 ecceobj 0.022 0.022 0.022 incobj 3.687 3.687 3.687 qmin 42.342 42.342 42.341 qmax 45.999 46.000 45.997 amean 44.083 44.084 44.083 amin 43.738 43.738 43.738 amax 44.428 44.428 44.428 emean 0.021 0.021 0.021 emin 0.005 0.005 0.005 emax 0.036 0.036 0.036 imean 2.482 2.482 2.482 imin 1.824 1.824 1.823 imax 3.019 3.019 3.019 excite_mean 0.049 0.049 0.049 fracstop 1.000 1.000 1.000 cjmean 3.100 3.100 3.100 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 181.4 181.4 181.3 kozaiamp 180.0 180.0 179.9