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: 14RK86 # Created Fri Nov 22 02:09:59 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 4.96y # First observation: 2013/09/23 # Last observation: 2018/09/10 Preliminary a, adot, b, bdot, g, gdot: 0.002171 0.040336 0.000290 0.005791 0.031753 0.000000 # WARNING -- MRQMIN stopped after 19 iterations # Chi-squared of fit: 3.90 DOF: 24 RMS: 0.09 # Min/Max residuals: -0.22 0.20 # Exact a, adot, b, bdot, g, gdot: 2.171480E-05 4.475427E-02 2.816086E-06 6.409186E-03 3.307475E-02 2.582355E-02 # Covariance matrix: 4.1547E-13 -3.6663E-13 1.7922E-14 -4.2548E-14 -4.1096E-13 -1.5865E-12 -3.6663E-13 6.2589E-13 -3.7558E-14 8.2861E-14 3.6214E-13 3.2167E-12 1.7922E-14 -3.7558E-14 2.7612E-13 -8.5029E-14 2.2533E-14 -2.0241E-13 -4.2548E-14 8.2861E-14 -8.5029E-14 5.2566E-14 2.9231E-13 4.7151E-13 -4.1096E-13 3.6214E-13 2.2533E-14 2.9231E-13 2.6854E-11 3.9269E-12 -1.5865E-12 3.2167E-12 -2.0241E-13 4.7151E-13 3.9269E-12 1.7763E-11 # lat0 lon0 xBary yBary zBary JD0 -25.306749 -63.340836 -0.902899 -0.187168 -0.396037 2456559.499838 # Heliocentric elements and errors Epoch: 2456550.5000 = 2013/09/15 Mean Anomaly: 0.84416 +/- 0.014 Argument of Peri: 223.18406 +/- 0.027 Long of Asc Node: 8.19016 +/- 0.001 Inclination: 26.38551 +/- 0.000 Eccentricity: 0.94114578 +/- 0.0006 Semi-Major Axis: 374.17437559 +/- 4.1171 Time of Perihelion: 2450351.3453 +/- 1.4 Perihelion: 22.02174133 +/- 0.3382 Aphelion: 726.32700986 +/- 7.9953 Period (y) 7238.0115 +/- 119.46 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 13.26750798 +/- 0.0019 Ecliptic Y -24.41090904 +/- 0.0038 Ecliptic Z -12.92411976 +/- 0.0020 Ecliptic XDOT 0.00427347 +/- 0.0000 Ecliptic YDOT -0.00026877 +/- 0.0000 Ecliptic ZDOT -0.00043399 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.64232562 +/- 0.0033 Geocenter to KBO 30.23454422 +/- 0.0047 # Hcoef: 8.10
The following table shows the complete astrometric record for 14RK86. 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 (14RK86) followed by the observatory code and reference code for the source of the astrometry.
2013 09 23.99906 20 21 30.830 -45 31 32.68 23.1i 14RK86 W84 C~52Tw 2013 09 24.05814 20 21 30.625 -45 31 30.29 23.3g 14RK86 W84 C~52Tw 2013 09 24.05954 20 21 30.626 -45 31 30.23 22.7r 14RK86 W84 C~52Tw 2014 09 11.99616 20 35 28.829 -44 36 19.13 23.3r 14RK86 W84 C~52Tw 2014 09 23.99604 20 34 32.700 -44 30 01.23 22.3i 14RK86 W84 C~52Tw 2014 09 25.01828 20 34 28.839 -44 29 23.37 23.1i 14RK86 W84 C~52Tw 2014 09 30.01029 20 34 12.435 -44 26 06.20 22.6z 14RK86 W84 C~52Tw 2015 09 12.06931 20 47 27.738 -43 31 56.15 23.1r 14RK86 W84 C~52Tw 2016 09 23.00320 20 57 25.743 -42 22 09.59 23.2r 14RK86 W84 C~52Tw 2016 09 23.00457 20 57 25.727 -42 22 09.46 24.1g 14RK86 W84 C~52Tw 2017 09 12.08501 21 08 25.726 -41 20 48.74 23.7r 14RK86 W84 C~52Tw 2017 09 23.05198 21 07 28.895 -41 17 22.88 23.1i 14RK86 W84 C~52Tw 2017 09 23.05337 21 07 28.875 -41 17 22.70 23.5r 14RK86 W84 C~52Tw 2017 09 23.05474 21 07 28.857 -41 17 22.70 24.0g 14RK86 W84 C~52Tw 2018 09 10.20010 21 17 53.051 -40 15 52.78 24.5g 14RK86 W84 C~52Tw
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 -0.07 0.00 0.05
2 0.0002 -1.47 -0.04 2.86 -0.00
3 0.0002 -1.45 0.02 2.92 -0.02
4 0.9665 9453.23 -0.02 738.32 -0.14
5 0.9993 8990.47 0.20 1276.81 -0.03
6 1.0021 8962.04 -0.06 1325.17 0.03
7 1.0158 8851.68 0.03 1565.34 0.14
8 1.9660 18060.97 0.01 1981.34 0.02
9 2.9980 25755.21 0.05 3663.99 -0.14
10 2.9980 25755.09 -0.02 3664.17 -0.01
11 3.9674 34145.78 -0.22 4344.21 0.07
12 3.9974 33621.92 0.10 4786.87 -0.13
13 3.9974 33621.78 0.02 4787.13 0.07
14 3.9974 33621.59 -0.12 4787.21 0.09
15 4.9615 41866.40 0.12 5366.59 0.00
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.
14RK86 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 363.113 378.355 349.108 ecceobj 0.939 0.942 0.937 incobj 26.405 26.405 26.405 qmin 19.658 19.549 19.873 qmax 833.813 958.282 794.261 amean 321.746 396.715 342.802 amin 230.134 351.947 309.166 amax 427.945 490.220 408.165 emean 0.929 0.943 0.935 emin 0.899 0.931 0.923 emax 0.949 0.955 0.946 imean 27.617 27.497 27.158 imin 25.637 25.596 25.679 imax 29.303 29.372 28.373 excite_mean 1.039 1.050 1.041 fracstop 0.569 0.631 0.432 cjmean 2.213 2.207 2.213 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 230.0 228.4 228.3 kozaiamp 9.3 6.9 7.1