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: 15FK562
# Created Thu Jul 3 01:10:30 2025
# Orbit generated from Bernstein formalism
# Fitting 13 observations of 13
# Arc: 10.92d
# First observation: 2015/03/18
# Last observation: 2015/03/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.033554 -0.000000 -0.000353 0.024124 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 17 iterations -- oscilliatory solution
# Chi-squared of fit: 4.07 DOF: 21 RMS: 0.10
# Min/Max residuals: -0.29 0.22
# Exact a, adot, b, bdot, g, gdot:
1.347625E-05 1.877475E-02 -3.676214E-07 -3.645258E-04 2.178179E-02 8.920065E-03
# Covariance matrix:
1.4722E-10 2.0242E-07 -9.6817E-13 1.6212E-10 3.2045E-08 -2.6349E-07
2.0242E-07 2.7885E-04 -1.3337E-09 2.2333E-07 4.4140E-05 -3.6450E-04
-9.6817E-13 -1.3337E-09 2.5077E-13 -1.1795E-11 -2.1111E-10 1.7452E-09
1.6212E-10 2.2333E-07 -1.1795E-11 1.0548E-09 3.5352E-08 -2.9302E-07
3.2045E-08 4.4140E-05 -2.1111E-10 3.5352E-08 6.9872E-06 -5.7641E-05
-2.6349E-07 -3.6450E-04 1.7452E-09 -2.9302E-07 -5.7641E-05 5.7997E-04
# lat0 lon0 xBary yBary zBary JD0
1.193231 179.662159 0.039745 0.020771 -0.991143 2457099.992668
# Heliocentric elements and errors
Epoch: 2457090.5000 = 2015/03/09
Mean Anomaly: 53.88580 +/- 54.088
Argument of Peri: 28.28916 +/- 107.429
Long of Asc Node: 46.43632 +/- 25.730
Inclination: 1.60139 +/- 0.679
Eccentricity: 0.43580776 +/- 1.1970
Semi-Major Axis: 51.42256275 +/- 26.1984
Time of Perihelion: 2436930.0218 +/- 13119.8
Perihelion: 29.01221073 +/- 63.3017
Aphelion: 73.83291477 +/- 72.1359
Period (y) 368.7557 +/- 281.81
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -46.89339402 +/- 5.5701
Ecliptic Y 0.31605009 +/- 0.0333
Ecliptic Z 0.95604302 +/- 0.1160
Ecliptic XDOT -0.00113923 +/- 0.0031
Ecliptic YDOT -0.00235900 +/- 0.0018
Ecliptic ZDOT -0.00002237 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 46.90420353 +/- 5.5688
Geocenter to KBO 45.90991019 +/- 5.5714
# Hcoef: 8.02
The following table shows the complete astrometric record for 15FK562. 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 (15FK562) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.49189 12 00 39.54 +01 13 44.9 24.5r 15FK562 T09 C~8vFY 2015 03 18.51857 12 00 39.43 +01 13 45.6 24.6r 15FK562 T09 C~8vFY 2015 03 18.52074 12 00 39.42 +01 13 45.7 24.9r 15FK562 T09 C~8vFY 2015 03 20.44069 12 00 31.54 +01 14 36.4 24.7i 15FK562 T09 C~8vFY 2015 03 20.47450 12 00 31.41 +01 14 37.5 24.4i 15FK562 T09 C~8vFY 2015 03 20.51900 12 00 31.22 +01 14 38.6 24.6i 15FK562 T09 C~8vFY 2015 03 20.55475 12 00 31.07 +01 14 39.6 24.0i 15FK562 T09 C~8vFY 2015 03 25.46918 12 00 10.93 +01 16 49.2 25.7g 15FK562 T09 C~8vFY 2015 03 25.49565 12 00 10.82 +01 16 50.1 25.6g 15FK562 T09 C~8vFY 2015 03 25.52597 12 00 10.70 +01 16 50.8 25.8g 15FK562 T09 C~8vFY 2015 03 29.26281 11 59 55.48 +01 18 28.3 23.7y 15FK562 T09 C~8vFY 2015 03 29.32074 11 59 55.27 +01 18 29.5 23.2y 15FK562 T09 C~8vFY 2015 03 29.41284 11 59 54.89 +01 18 32.1 24.0y 15FK562 T09 C~8vFY
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 0.03 0.00 0.02
2 0.0001 -1.79 0.05 -0.01 0.02
3 0.0001 -1.97 0.02 0.02 0.05
4 0.0053 -130.56 -0.05 -0.48 -0.20
5 0.0054 -132.78 0.02 -0.25 0.06
6 0.0055 -135.84 -0.01 -0.37 -0.04
7 0.0056 -138.30 -0.04 -0.35 0.00
8 0.0191 -466.95 -0.01 -1.61 -0.07
9 0.0192 -468.83 -0.09 -1.44 0.12
10 0.0193 -470.76 0.03 -1.51 0.07
11 0.0295 -718.95 -0.29 -2.85 -0.01
12 0.0296 -722.31 0.22 -3.00 -0.12
13 0.0299 -728.58 0.13 -2.89 0.08
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.