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: 15FK401
# Created Mon Jul 7 01:10:30 2025
# Orbit generated from Bernstein formalism
# Fitting 17 observations of 17
# Arc: 10.93d
# First observation: 2015/03/18
# Last observation: 2015/03/29
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.009876 0.000001 0.001812 0.017953 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 6.44 DOF: 29 RMS: 0.11
# Min/Max residuals: -0.31 0.17
# Exact a, adot, b, bdot, g, gdot:
8.456371E-06 8.907761E-03 2.477272E-06 1.810627E-03 1.779571E-02 -1.200015E-02
# Covariance matrix:
1.5020E-10 1.6554E-07 -7.9263E-13 1.0986E-10 2.6338E-08 6.3100E-08
1.6554E-07 1.8272E-04 -8.7477E-10 1.2124E-07 2.9069E-05 6.9421E-05
-7.9263E-13 -8.7477E-10 2.0624E-13 -1.0794E-11 -1.3917E-10 -3.3667E-10
1.0986E-10 1.2124E-07 -1.0794E-11 9.8235E-10 1.9288E-08 4.7233E-08
2.6338E-08 2.9069E-05 -1.3917E-10 1.9288E-08 4.6247E-06 1.1054E-05
6.3100E-08 6.9421E-05 -3.3667E-10 4.7233E-08 1.1054E-05 4.7164E-05
# lat0 lon0 xBary yBary zBary JD0
1.048700 179.610720 0.038855 0.018271 -0.991227 2457099.992668
# Heliocentric elements and errors
Epoch: 2457090.5000 = 2015/03/09
Mean Anomaly: 318.23577 +/- 39.978
Argument of Peri: 146.29454 +/- 55.979
Long of Asc Node: 174.48851 +/- 7.617
Inclination: 11.47693 +/- 16.712
Eccentricity: 0.79617385 +/- 0.5581
Semi-Major Axis: 59.40668603 +/- 31.0514
Time of Perihelion: 2476492.8057 +/- 10655.1
Perihelion: 12.10863620 +/- 33.7564
Aphelion: 106.70473586 +/- 64.8856
Period (y) 457.8900 +/- 359.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -57.17683424 +/- 6.7894
Ecliptic Y 0.42727213 +/- 0.0468
Ecliptic Z 1.02862046 +/- 0.1243
Ecliptic XDOT 0.00183823 +/- 0.0012
Ecliptic YDOT -0.00138876 +/- 0.0019
Ecliptic ZDOT 0.00024482 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 57.18768220 +/- 6.7881
Geocenter to KBO 56.19330941 +/- 6.7907
# Hcoef: 7.06
The following table shows the complete astrometric record for 15FK401. 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 (15FK401) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.49189 12 00 14.41 +01 07 01.2 24.4r 15FK401 T09 C~8vFU 2015 03 18.51857 12 00 14.32 +01 07 01.9 24.8r 15FK401 T09 C~8vFU 2015 03 18.54922 12 00 14.21 +01 07 02.6 24.5r 15FK401 T09 C~8vFU 2015 03 20.437180 12 00 07.541 +01 07 48.46 23.7i 15FK401 568 C~2TuK 2015 03 20.440683 12 00 07.526 +01 07 48.52 23.8i 15FK401 568 C~2TuK 2015 03 20.474493 12 00 07.407 +01 07 49.35 23.8i 15FK401 568 C~2TuK 2015 03 20.502393 12 00 07.304 +01 07 50.06 23.7i 15FK401 568 C~2TuK 2015 03 20.518991 12 00 07.244 +01 07 50.34 23.8i 15FK401 568 C~2TuK 2015 03 20.554741 12 00 07.116 +01 07 51.30 23.7i 15FK401 568 C~2TuK 2015 03 25.466258 11 59 49.732 +01 09 49.62 25.0g 15FK401 568 C~2TuK 2015 03 25.46627 11 59 49.70 +01 09 49.6 26.1g 15FK401 T09 C~8vFU 2015 03 25.469173 11 59 49.721 +01 09 49.66 25.0g 15FK401 568 C~2TuK 2015 03 25.46918 11 59 49.70 +01 09 49.8 26.6g 15FK401 T09 C~8vFU 2015 03 25.495644 11 59 49.631 +01 09 50.36 25.3g 15FK401 568 C~2TuK 2015 03 25.49565 11 59 49.62 +01 09 50.3 25.8g 15FK401 T09 C~8vFU 2015 03 29.41284 11 59 35.84 +01 11 23.8 23.7y 15FK401 T09 C~8vFU 2015 03 29.42373 11 59 35.79 +01 11 24.1 24.0y 15FK401 T09 C~8vFU
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 -0.18
2 0.0001 -1.52 -0.05 0.11 -0.09
3 0.0002 -3.31 -0.03 0.09 -0.13
4 0.0053 -113.31 0.05 2.38 0.11
5 0.0053 -113.54 0.03 2.34 0.07
6 0.0054 -115.51 0.07 2.39 0.10
7 0.0055 -117.21 0.02 2.43 0.12
8 0.0055 -118.15 0.06 2.33 0.01
9 0.0056 -120.29 0.03 2.45 0.10
10 0.0191 -406.55 0.12 7.28 0.04
11 0.0191 -406.98 -0.31 7.07 -0.17
12 0.0191 -406.72 0.13 7.26 0.01
13 0.0191 -407.06 -0.21 7.26 0.01
14 0.0192 -408.24 0.17 7.36 0.10
15 0.0192 -408.36 0.05 7.24 -0.02
16 0.0299 -635.16 0.08 10.82 -0.02
17 0.0299 -635.97 -0.09 10.79 -0.05
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.
15FK401 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0