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: 15FX400
# Created Wed Sep 3 01:10:36 2025
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 10.93d
# First observation: 2015/03/18
# Last observation: 2015/03/29
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.018189 0.000000 0.007851 0.024538 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 20 iterations -- oscilliatory solution
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 1.50 DOF: 19 RMS: 0.06
# Min/Max residuals: -0.11 0.10
# Exact a, adot, b, bdot, g, gdot:
1.284650E-05 1.923661E-02 5.167393E-06 7.849534E-03 2.469934E-02 -1.406471E-02
# Covariance matrix:
5.7127E-11 8.5864E-08 -2.9155E-13 7.1319E-11 1.3687E-08 4.3890E-08
8.5864E-08 1.2975E-04 -4.3956E-10 1.0738E-07 2.0677E-05 6.4716E-05
-2.9155E-13 -4.3956E-10 2.7678E-13 -1.2083E-11 -7.0085E-11 -2.7267E-10
7.1319E-11 1.0738E-07 -1.2083E-11 9.9033E-10 1.7126E-08 7.4978E-08
1.3687E-08 2.0677E-05 -7.0085E-11 1.7126E-08 3.2954E-06 1.0372E-05
4.3890E-08 6.4716E-05 -2.7267E-10 7.4978E-08 1.0372E-05 1.2369E-04
# lat0 lon0 xBary yBary zBary JD0
0.890587 179.352813 0.034443 0.015539 -0.991437 2457099.989758
# Heliocentric elements and errors
Epoch: 2457090.5000 = 2015/03/09
Mean Anomaly: 310.70733 +/- 44.722
Argument of Peri: 119.05513 +/- 52.460
Long of Asc Node: 177.16975 +/- 1.258
Inclination: 22.16022 +/- 11.790
Eccentricity: 0.56415403 +/- 0.4423
Semi-Major Axis: 45.39708111 +/- 24.6787
Time of Perihelion: 2472387.9885 +/- 6084.8
Perihelion: 19.78613484 +/- 22.7770
Aphelion: 71.00802738 +/- 43.5105
Period (y) 305.8793 +/- 249.42
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -41.47367338 +/- 2.9751
Ecliptic Y 0.50281179 +/- 0.0339
Ecliptic Z 0.62951706 +/- 0.0463
Ecliptic XDOT 0.00154477 +/- 0.0013
Ecliptic YDOT -0.00215572 +/- 0.0011
Ecliptic ZDOT 0.00084585 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 41.48149822 +/- 2.9745
Geocenter to KBO 40.48691375 +/- 2.9756
# Hcoef: 8.23
The following table shows the complete astrometric record for 15FX400. 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 (15FX400) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.48898 11 59 02.52 +01 04 28.3 24.7r 15FX400 T09 C~90HW 2015 03 18.51857 11 59 02.39 +01 04 29.3 24.3r 15FX400 T09 C~90HW 2015 03 18.57522 11 59 02.12 +01 04 31.3 24.4r 15FX400 T09 C~90HW 2015 03 20.474493 11 58 53.400 +01 05 37.33 23.9i 15FX400 568 C~2TuJ 2015 03 20.502393 11 58 53.270 +01 05 38.30 23.9i 15FX400 568 C~2TuJ 2015 03 20.516256 11 58 53.206 +01 05 38.79 23.7i 15FX400 568 C~2TuJ 2015 03 25.495644 11 58 30.311 +01 08 31.47 24.7g 15FX400 568 C~2TuJ 2015 03 25.525959 11 58 30.170 +01 08 32.59 24.8g 15FX400 568 C~2TuJ 2015 03 25.551834 11 58 30.051 +01 08 33.45 24.8g 15FX400 568 C~2TuJ 2015 03 29.41284 11 58 12.43 +01 10 46.0 23.8y 15FX400 T09 C~90HW 2015 03 29.41554 11 58 12.43 +01 10 46.0 23.9y 15FX400 T09 C~90HW 2015 03 29.42373 11 58 12.39 +01 10 46.5 24.5y 15FX400 T09 C~90HW
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 -0.03
2 0.0001 -2.19 0.02 0.14 -0.01
3 0.0002 -6.70 -0.07 0.37 -0.01
4 0.0054 -152.95 0.07 8.92 0.00
5 0.0055 -155.12 0.08 9.04 0.01
6 0.0056 -156.20 0.09 9.10 0.02
7 0.0192 -539.91 0.01 30.95 -0.00
8 0.0193 -542.30 -0.02 31.13 0.06
9 0.0193 -544.28 0.01 31.21 0.04
10 0.0299 -839.46 -0.10 47.71 -0.08
11 0.0299 -839.46 0.10 47.71 -0.09
12 0.0299 -840.21 -0.01 47.93 0.10
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.
15FX400 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