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: 15KP161
# Created Sun Oct 19 01:10:57 2025
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 1.14d
# First observation: 2015/05/27
# Last observation: 2015/05/28
# WARNING Fitting with energy constraint
# WARNING and with gdot fixed = 0
# Chi-squared of fit: 5.99 DOF: 12 RMS: 0.15
# Min/Max residuals: -0.32 0.34
# Exact a, adot, b, bdot, g, gdot:
1.393683E-05 2.170544E-02 -1.629552E-06 -2.179604E-03 2.288592E-02 0.000000E+00
# Covariance matrix:
2.9180E-11 4.1636E-08 4.9851E-14 7.7668E-11 6.7437E-09 0.0000E+00
4.1636E-08 5.9989E-05 7.1629E-11 1.1168E-07 9.6915E-06 0.0000E+00
4.9851E-14 7.1629E-11 1.8985E-13 -2.6442E-11 1.1596E-11 0.0000E+00
7.7668E-11 1.1168E-07 -2.6442E-11 1.1536E-07 1.8069E-08 0.0000E+00
6.7437E-09 9.6915E-06 1.1596E-11 1.8069E-08 1.5687E-06 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.5773E-04
# lat0 lon0 xBary yBary zBary JD0
1.654341 -117.740558 -0.058151 0.029286 -1.009690 2457169.682450
# Heliocentric elements and errors
Epoch: 2457160.5000 = 2015/05/18
Mean Anomaly: 7.29726 +/- 1.167
Argument of Peri: 156.45962 +/- 67.132
Long of Asc Node: 78.01594 +/- 5.880
Inclination: 5.96063 +/- 2.168
Eccentricity: 0.02954869 +/- 0.5601
Semi-Major Axis: 46.05535024 +/- 24.0864
Time of Perihelion: 2454846.4323 +/- 342849.0
Perihelion: 44.69447518 +/- 34.8102
Aphelion: 47.41622530 +/- 35.7816
Period (y) 312.5564 +/- 245.20
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -20.75168340 +/- 1.1128
Ecliptic Y -39.57811194 +/- 2.1155
Ecliptic Z 1.26141574 +/- 0.0690
Ecliptic XDOT 0.00229195 +/- 0.0010
Ecliptic YDOT -0.00122147 +/- 0.0014
Ecliptic ZDOT -0.00026057 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 44.70626889 +/- 1.9428
Geocenter to KBO 43.69499191 +/- 2.3913
# Hcoef: 7.22
The following table shows the complete astrometric record for 15KP161. 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 (15KP161) followed by the observatory code and reference code for the source of the astrometry.
2015 05 27.181672 16 02 05.77 -18 59 28.6 23.2r 15KP161 W84 C~1j9z 2015 05 27.203307 16 02 05.64 -18 59 28.3 23.4r 15KP161 W84 C~1j9z 2015 05 27.224947 16 02 05.54 -18 59 28.0 23.5r 15KP161 W84 C~1j9z 2015 05 27.281837 16 02 05.29 -18 59 27.4 23.4r 15KP161 W84 C~1j9z 2015 05 27.303478 16 02 05.17 -18 59 27.1 24.0r 15KP161 W84 C~1j9z 2015 05 27.325114 16 02 05.06 -18 59 26.9 23.9r 15KP161 W84 C~1j9z 2015 05 28.302312 16 02 00.50 -18 59 15.2 24.1r 15KP161 W84 C~1j9z 2015 05 28.324034 16 02 00.35 -18 59 14.9 23.0r 15KP161 W84 C~1j9z
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 0.22 0.00 0.03
2 0.0001 -1.87 -0.16 -0.07 -0.01
3 0.0001 -3.32 -0.12 -0.05 0.04
4 0.0003 -6.91 0.20 -0.16 0.01
5 0.0003 -8.64 -0.04 -0.20 0.00
6 0.0004 -10.21 -0.13 -0.30 -0.08
7 0.0031 -75.92 0.34 -1.50 0.05
8 0.0031 -78.07 -0.32 -1.62 -0.04
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.
15KP161 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