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: 13EZ27
# Created Tue Oct 24 01:38:12 2017
# Orbit generated from Bernstein formalism
# Fitting 35 observations of 35
# Arc: 4.20y
# First observation: 2011/01/30
# Last observation: 2015/04/14
Preliminary a, adot, b, bdot, g, gdot:
-0.243921 0.474724 0.068809 -0.119759 0.180696 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING -- MRQMIN stopped after 11 iterations
# Chi-squared of fit: 9999.99 DOF: 65 RMS: 99.99
# Min/Max residuals: -9999.99 9999.99
# Exact a, adot, b, bdot, g, gdot:
1.097985E-01 1.415792E-01 -3.853735E-02 -3.304233E-02 6.461390E-02 -1.687910E-01
# Covariance matrix:
2.3606E-13 -1.0531E-13 -3.2944E-14 1.8429E-14 -2.1866E-14 -1.3722E-14
-1.0531E-13 5.4711E-14 1.9483E-14 -1.0877E-14 1.8246E-14 7.2860E-15
-3.2944E-14 1.9483E-14 1.2402E-13 -3.7821E-14 4.7606E-15 3.9509E-15
1.8429E-14 -1.0877E-14 -3.7821E-14 1.2948E-14 -2.5612E-15 -2.2287E-15
-2.1866E-14 1.8246E-14 4.7606E-15 -2.5612E-15 2.7574E-14 -1.8259E-15
-1.3722E-14 7.2860E-15 3.9509E-15 -2.2287E-15 -1.8259E-15 2.3396E-15
# lat0 lon0 xBary yBary zBary JD0
4.788875 132.296523 0.035457 0.082444 -0.984128 2455591.991906
# Heliocentric elements and errors
Epoch: 2455590.5000 = 2011/01/29
Mean Anomaly: 351.40288 +/- 0.234
Argument of Peri: 226.76213 +/- 0.000
Long of Asc Node: 327.32938 +/- 0.000
Inclination: 14.67525 +/- 0.000
Eccentricity: 2.98418329 +/- 0.0000
Semi-Major Axis: -5.55812495 +/- 0.0001
Time of Perihelion: 2458050.0265 +/- 66.8
Perihelion: 11.02833866 +/- 0.0002
Aphelion: -22.14458856 +/- 0.0002
Period (y) 281.9752 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -12.30352396 +/- 0.0000
Ecliptic Y 11.05467357 +/- 0.0000
Ecliptic Z 0.69769374 +/- 0.0000
Ecliptic XDOT 0.00027925 +/- 0.0000
Ecliptic YDOT -0.00921636 +/- 0.0000
Ecliptic ZDOT -0.00199227 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 16.55503809 +/- 0.0000
Geocenter to KBO 15.58097693 +/- 0.0000
# Hcoef: NaN
The following table shows the complete astrometric record for 13EZ27. 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 (13EZ27) followed by the observatory code and reference code for the source of the astrometry.
2011 01 30.49114 09 04 48.442 +21 42 10.24 22.6w 13EZ27 F51 C~1vWw 2011 01 30.50742 09 04 48.137 +21 42 10.90 22.5w 13EZ27 F51 C~1vWw 2011 01 30.52250 09 04 47.850 +21 42 11.62 22.5w 13EZ27 F51 C~1vWw 2012 02 03.54155 09 58 05.797 +13 24 55.99 21.7i 13EZ27 F51 C~1vWw 2012 02 03.55443 09 58 05.567 +13 24 56.57 21.9i 13EZ27 F51 C~1vWw 2012 02 03.58741 09 58 04.988 +13 24 58.24 22.1r 13EZ27 F51 C~1vWw 2013 03 05.41133 10 46 26.756 +03 41 43.93 22.0w 13EZ27 F51 C@0613 2013 03 05.42627 10 46 26.488 +03 41 44.85 22.1w 13EZ27 F51 C@0613 2013 03 05.44122 10 46 26.214 +03 41 45.72 22.0w 13EZ27 F51 C@0613 2013 03 05.45617 10 46 25.946 +03 41 46.68 22.1w 13EZ27 F51 C@0613 2013 03 06.367112 10 46 09.828 +03 42 42.92 21.3R 13EZ27 568 C~0psa 2013 03 06.368366 10 46 09.804 +03 42 42.94 21.3R 13EZ27 568 C~0psa 2013 03 06.369625 10 46 09.784 +03 42 43.10 21.3R 13EZ27 568 C~0psa 2013 03 08.336820 10 45 35.07 +03 44 45.2 21.9R 13EZ27 F65 C~0psa 2013 03 08.342957 10 45 34.97 +03 44 45.1 21.9R 13EZ27 F65 C~0psa 2013 03 08.345967 10 45 34.89 +03 44 45.3 21.3R 13EZ27 F65 C~0psa 2013 03 08.348989 10 45 34.84 +03 44 46.0 21.7R 13EZ27 F65 C~0psa 2013 12 14.63431 11 53 16.013 -06 14 10.83 22.7w 13EZ27 F51 C~1vWw 2013 12 14.63864 11 53 16.062 -06 14 11.46 22.4w 13EZ27 F51 C~1vWw 2013 12 14.64264 11 53 16.107 -06 14 11.92 22.5w 13EZ27 F51 C~1vWw 2014 03 24.40427 11 41 25.266 -07 10 24.73 21.8w 13EZ27 F51 C~1vWw 2014 03 24.41657 11 41 25.054 -07 10 23.84 21.9w 13EZ27 F51 C~1vWw 2014 03 24.42886 11 41 24.826 -07 10 22.86 22.2w 13EZ27 F51 C~1vWw 2014 03 24.44118 11 41 24.602 -07 10 22.13 21.9w 13EZ27 F51 C~1vWw 2014 04 28.30750 11 33 09.144 -06 27 22.01 22.0w 13EZ27 F51 C~1vWw 2014 04 28.31980 11 33 09.013 -06 27 21.41 22.1w 13EZ27 F51 C~1vWw 2014 04 28.33207 11 33 08.895 -06 27 20.48 22.1w 13EZ27 F51 C~1vWw 2014 04 28.34436 11 33 08.758 -06 27 19.77 22.4w 13EZ27 F51 C~1vWw 2014 05 24.26477 11 31 12.599 -06 10 08.54 22.1w 13EZ27 F51 C~1vWw 2014 05 24.27805 11 31 12.601 -06 10 08.76 22.1w 13EZ27 F51 C~1vWw 2014 05 24.29132 11 31 12.597 -06 10 08.28 22.4w 13EZ27 F51 C~1vWw 2014 05 24.30460 11 31 12.608 -06 10 08.11 22.4w 13EZ27 F51 C~1vWw 2015 04 14.06337 12 39 06.49 -17 36 26.7 22.4V 13EZ27 W84 C~2Jxu 2015 04 14.14229 12 39 05.12 -17 36 20.0 13EZ27 W84 C~2Jxu 2015 04 14.23919 12 39 03.42 -17 36 11.7 13EZ27 W84 C~2Jxu
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 0.00-22639.43 0.00 7946.89 2 0.0000 -4.26-22641.34 -0.59 7946.67 3 0.0001 -8.30-22643.21 -1.06 7946.56 4 1.0104 54144.68 -7825.76 -13714.23 4208.76 5 1.0104 54141.10 -7827.35 -13714.87 4208.56 6 1.0105 54132.02 -7831.33 -13716.29 4208.28 7 2.0942 117059.63 -1591.87 -33161.41 1658.90 8 2.0943 117054.25 -1594.14 -33162.01 1658.93 9 2.0943 117048.79 -1596.50 -33162.71 1658.86 10 2.0944 117043.39 -1598.79 -33163.27 1658.93 11 2.0969 116719.51 -1738.96 -33198.63 1659.92 12 2.0969 116719.06 -1739.15 -33198.76 1659.85 13 2.0969 116718.61 -1739.34 -33198.70 1659.96 14 2.1022 116021.94 -2039.96 -33273.55 1662.63 15 2.1023 116020.18 -2040.45 -33274.27 1662.16 16 2.1023 116018.62 -2041.39 -33274.53 1662.02 17 2.1023 116017.33 -2042.06 -33274.06 1662.61 18 2.8724 238583.66 8016.11 -52993.28 2078.34 19 2.8724 238585.89 8016.20 -52993.92 2078.41 20 2.8724 238587.80 8016.15 -52994.32 2078.66 21 3.1456 220646.22 -8660.30 -62638.36 3149.50 22 3.1456 220639.18 -8663.15 -62638.28 3149.93 23 3.1456 220631.59 -8666.56 -62638.17 3150.40 24 3.1457 220624.36 -8669.59 -62638.40 3150.51 25 3.2411 204316.72-15853.77 -61769.47 4348.41 26 3.2411 204312.64-15855.86 -61769.37 4348.52 27 3.2412 204308.61-15857.90 -61768.72 4349.18 28 3.2412 204304.28-15860.25 -61768.50 4349.42 29 3.3122 200271.02-19060.47 -60970.55 5175.59 30 3.3122 200271.27-19061.40 -60970.85 5175.40 31 3.3123 200270.73-19063.11 -60970.18 5176.17 32 3.3123 200270.87-19064.15 -60969.88 5176.58 33 4.2014 436320.00********* -123854.96 27512.72 34 4.2016 436204.52********* -123836.42 27518.92 35 4.2019 436061.34********* -123813.47 27526.38
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.
13EZ27 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 19.565 19.565 19.565 ecceobj 0.544 0.544 0.544 incobj 14.621 14.621 14.621 qmin 8.695 8.767 8.389 qmax 35.683 32.070 32.107 amean 21.060 19.211 19.869 amin 18.507 18.546 18.929 amax 22.481 20.485 20.486 emean 0.572 0.538 0.567 emin 0.530 0.523 0.538 emax 0.598 0.566 0.579 imean 14.794 15.712 14.064 imin 13.914 15.315 13.432 imax 15.842 15.925 15.842 excite_mean 0.626 0.603 0.617 fracstop 0.003 0.001 0.004 cjmean 2.759 2.861 2.813 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 259.5 223.7 266.6 kozaiamp 42.7 11.9 48.7