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: 500840
# Created Tue Apr 16 01:08:06 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 42 observations of 42
# Arc: 3.91y
# First observation: 2013/03/07
# Last observation: 2017/02/03
# Chi-squared of fit: 23.73 DOF: 78 RMS: 0.13
# Min/Max residuals: -0.37 0.35
# Exact a, adot, b, bdot, g, gdot:
1.690044E-05 2.377331E-02 -1.278645E-06 -1.462680E-03 2.411675E-02 -1.237247E-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
1.768321 -142.028913 0.770145 0.019372 -0.626255 2456359.054538
# Heliocentric elements and errors
Epoch: 2456358.5000 = 2013/03/07
Mean Anomaly: 330.61424 +/- 0.000
Argument of Peri: 185.39452 +/- 0.000
Long of Asc Node: 63.37563 +/- 0.000
Inclination: 3.90493 +/- 0.000
Eccentricity: 0.04272040 +/- 0.0000
Semi-Major Axis: 43.70251728 +/- 0.0000
Time of Perihelion: 2464972.2564 +/- 0.0
Perihelion: 41.83552837 +/- 0.0000
Aphelion: 45.56950619 +/- 0.0000
Period (y) 288.9135 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -33.63860477 +/- 0.0000
Ecliptic Y -25.27614290 +/- 0.0000
Ecliptic Z 1.27949026 +/- 0.0000
Ecliptic XDOT 0.00166129 +/- 0.0000
Ecliptic YDOT -0.00212140 +/- 0.0000
Ecliptic ZDOT -0.00016627 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.09604979 +/- 0.0000
Geocenter to KBO 41.46498611 +/- 0.0000
# Hcoef: 7.73
The following table shows the complete astrometric record for 500840. 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 (500840) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.55376 14 24 45.841 -12 29 32.52 24.2r 500840 568 C~1XRZ 2013 03 07.61085 14 24 45.698 -12 29 31.87 23.5r 500840 568 C~1XRZ 2013 04 04.55473 14 23 08.662 -12 21 05.05 23.5r 500840 568 C~1XRZ 2013 04 07.41499 14 22 56.454 -12 20 03.61 24.2r 500840 568 C~1XRZ 2013 04 07.45875 14 22 56.272 -12 20 02.58 23.9r 500840 568 C~1XRZ 2013 04 08.44736 14 22 51.972 -12 19 41.22 23.6r 500840 568 C~1XRZ 2013 04 08.49256 14 22 51.743 -12 19 40.00 24.1r 500840 568 C~1XRZ 2013 04 09.39399 14 22 47.834 -12 19 20.11 24.1r 500840 568 C~1XRZ 2013 04 09.43719 14 22 47.647 -12 19 19.22 24.0r 500840 568 C~1XRZ 2013 04 09.48059 14 22 47.439 -12 19 18.42 23.4r 500840 568 C~1XRZ 2013 05 11.48217 14 20 20.179 -12 07 21.53 23.7r 500840 568 C~1XRZ 2013 05 12.48442 14 20 15.656 -12 07 00.19 23.9r 500840 568 C~1XRZ 2013 06 12.37957 14 18 15.533 -11 57 59.24 24.0r 500840 568 C~1XRa 2013 06 12.42509 14 18 15.385 -11 57 58.47 24.1r 500840 568 C~1XRa 2013 07 04.33899 14 17 26.080 -11 54 54.49 24.0r 500840 568 C~1XRa 2013 07 06.34710 14 17 23.474 -11 54 47.82 23.9r 500840 568 C~1XRa 2013 08 02.27448 14 17 22.680 -11 56 16.74 24.0r 500840 568 C~1XRa 2014 02 02.65078 14 30 29.826 -13 03 54.31 500840 568 C~1XRa 2014 02 02.65647 14 30 29.869 -13 03 54.18 24.1r 500840 568 C~1XRa 2014 02 03.59530 14 30 30.331 -13 03 54.83 24.4r 500840 568 C~1XRa 2014 02 24.60122 14 30 19.027 -13 02 24.85 23.9r 500840 568 C~1XRa 2014 02 25.58427 14 30 17.489 -13 02 15.94 24.0r 500840 568 C~1XRa 2014 02 28.53222 14 30 12.410 -13 01 46.98 23.9r 500840 568 C~1XRa 2014 03 28.44948 14 28 50.952 -12 54 41.19 24.1r 500840 568 C~1XRa 2014 03 28.48858 14 28 50.798 -12 54 40.39 24.0r 500840 568 C~1XRa 2014 04 04.42723 14 28 23.011 -12 52 21.77 23.8r 500840 568 C~1XRa 2014 04 04.46649 14 28 22.856 -12 52 20.98 23.8r 500840 568 C~1XRa 2014 04 05.42266 14 28 18.829 -12 52 01.07 23.9r 500840 568 C~1XRa 2014 04 05.54119 14 28 18.338 -12 51 58.68 23.6r 500840 568 C~1XRa 2014 04 30.10956 14 26 26.89 -12 42 58.8 24.3V 500840 W84 C~2g2q 2014 04 30.17846 14 26 26.56 -12 42 57.3 500840 W84 C~2g2q 2014 05 01.09622 14 26 22.26 -12 42 36.9 500840 W84 C~2g2q 2014 05 22.43816 14 24 45.402 -12 35 08.14 24.0r 500840 568 C~1XRa 2014 05 25.37427 14 24 33.058 -12 34 12.72 23.9r 500840 568 C~1XRa 2014 05 25.37889 14 24 33.045 -12 34 12.39 23.8r 500840 568 C~1XRa 2014 05 25.38376 14 24 33.026 -12 34 12.33 23.5r 500840 568 C~1XRa 2014 05 25.40152 14 24 32.929 -12 34 12.11 24.0r 500840 568 C~1XRa 2014 06 26.34216 14 22 49.037 -12 26 56.01 24.0r 500840 568 C~1XRa 2014 07 18.30511 14 22 21.362 -12 25 47.65 24.0r 500840 568 C~1XRa 2015 01 26.64799 14 35 31.141 -13 33 31.97 23.9r 500840 568 C~1XRa 2017 01 31.65143 14 45 59.788 -14 32 48.14 24.6w 500840 568 C~2KOG 2017 02 03.64785 14 46 02.709 -14 32 57.07 500840 568 C~2KOG
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 0.15
2 0.0002 0.00 -0.13 0.00 -0.00
3 0.0767 0.00 0.07 0.00 0.06
4 0.0845 0.00 0.01 0.00 -0.13
5 0.0846 0.00 0.17 0.00 -0.05
6 0.0873 0.00 0.05 0.00 -0.26
7 0.0874 0.00 -0.37 0.00 -0.03
8 0.0899 0.00 0.02 0.00 0.07
9 0.0900 0.00 0.11 0.00 0.02
10 0.0901 0.00 -0.09 0.00 -0.14
11 0.1778 0.00 0.10 0.00 -0.03
12 0.1805 0.00 0.13 0.00 -0.01
13 0.2651 0.00 -0.01 0.00 0.05
14 0.2652 0.00 -0.10 0.00 0.23
15 0.3252 0.00 0.24 0.00 0.15
16 0.3307 0.00 0.35 0.00 0.16
17 0.4044 0.00 -0.19 0.00 0.03
18 0.9092 0.00 -0.35 0.00 -0.13
19 0.9092 0.00 0.25 0.00 0.01
20 0.9118 0.00 0.02 0.00 0.00
21 0.9693 0.00 0.21 0.00 0.09
22 0.9720 0.00 0.00 0.00 0.10
23 0.9801 0.00 0.04 0.00 0.02
24 1.0565 0.00 0.09 0.00 -0.00
25 1.0566 0.00 0.07 0.00 0.05
26 1.0756 0.00 0.05 0.00 -0.06
27 1.0757 0.00 0.22 0.00 -0.08
28 1.0784 0.00 -0.21 0.00 0.01
29 1.0787 0.00 0.06 0.00 -0.06
30 1.1459 0.00 0.01 0.00 0.03
31 1.1461 0.00 -0.01 0.00 -0.00
32 1.1486 0.00 0.07 0.00 -0.03
33 1.2071 0.00 -0.05 0.00 -0.02
34 1.2151 0.00 -0.15 0.00 -0.18
35 1.2151 0.00 -0.05 0.00 0.07
36 1.2151 0.00 -0.03 0.00 0.04
37 1.2152 0.00 -0.35 0.00 -0.07
38 1.3026 0.00 -0.02 0.00 -0.16
39 1.3628 0.00 0.02 0.00 -0.04
40 1.8894 0.00 0.07 0.00 0.09
41 3.9044 0.00 -0.06 0.00 -0.13
42 3.9126 0.00 0.04 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.
500840 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.539 43.539 43.539 ecceobj 0.041 0.041 0.041 incobj 3.907 3.907 3.907 qmin 41.339 41.349 41.338 qmax 46.552 46.552 46.552 amean 43.857 43.857 43.857 amin 43.514 43.514 43.514 amax 44.208 44.211 44.209 emean 0.037 0.037 0.037 emin 0.021 0.021 0.021 emax 0.053 0.053 0.053 imean 2.396 2.396 2.396 imin 1.673 1.673 1.673 imax 2.988 2.988 2.988 excite_mean 0.056 0.056 0.056 fracstop 1.000 1.000 1.000 cjmean 3.096 3.096 3.096 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 190.8 191.0 190.8 kozaiamp 179.9 180.0 180.0