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: 15KQ459 # Created Wed May 21 01:10:33 2025 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 9.00d # First observation: 2015/05/17 # Last observation: 2015/05/26 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.025384 -0.000000 -0.002472 0.025527 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 3.72 DOF: 17 RMS: 0.10 # Min/Max residuals: -0.23 0.25 # Exact a, adot, b, bdot, g, gdot: 1.289154E-05 2.035343E-02 -1.982720E-06 -2.947706E-03 2.469021E-02 1.360203E-02 # Covariance matrix: 1.1721E-11 1.7228E-08 8.1994E-13 1.6032E-09 2.9793E-09 -1.9630E-08 1.7228E-08 2.5964E-05 1.2347E-09 2.4143E-06 4.4864E-06 -2.9953E-05 8.1994E-13 1.2347E-09 3.3120E-13 1.0261E-10 2.1337E-10 -1.4045E-09 1.6032E-09 2.4143E-06 1.0261E-10 2.2558E-07 4.1719E-07 -2.7976E-06 2.9793E-09 4.4864E-06 2.1337E-10 4.1719E-07 7.7528E-07 -5.1208E-06 -1.9630E-08 -2.9953E-05 -1.4045E-09 -2.7976E-06 -5.1208E-06 1.4631E-04 # lat0 lon0 xBary yBary zBary JD0 13.703824 -141.918571 -0.312041 0.227536 -0.932707 2457159.857668 # Heliocentric elements and errors Epoch: 2457150.5000 = 2015/05/08 Mean Anomaly: 52.69992 +/- 48.524 Argument of Peri: 1.26968 +/- 19.371 Long of Asc Node: 96.63132 +/- 10.332 Inclination: 15.65973 +/- 1.681 Eccentricity: 0.56102968 +/- 0.4147 Semi-Major Axis: 43.68524062 +/- 23.0705 Time of Perihelion: 2441711.8977 +/- 7245.8 Perihelion: 19.17652384 +/- 20.7530 Aphelion: 68.19395739 +/- 40.3127 Period (y) 288.7422 +/- 228.73 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -31.53915859 +/- 1.1046 Ecliptic Y -25.10777286 +/- 0.8654 Ecliptic Z 9.59499105 +/- 0.3422 Ecliptic XDOT 0.00017482 +/- 0.0012 Ecliptic YDOT -0.00273422 +/- 0.0007 Ecliptic ZDOT 0.00003983 +/- 0.0003 # Distances at JD0 (AU) Heliocenter to KBO 41.43890244 +/- 0.9940 Geocenter to KBO 40.50188336 +/- 1.4444 # Hcoef: 8.43
The following table shows the complete astrometric record for 15KQ459. 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 (15KQ459) followed by the observatory code and reference code for the source of the astrometry.
2015 05 17.35689 14 40 24.53 -01 12 12.5 24.9g 15KQ459 T09 C~8sur 2015 05 17.40688 14 40 24.29 -01 12 11.8 25.0g 15KQ459 T09 C~8sur 2015 05 17.42038 14 40 24.23 -01 12 11.5 24.9g 15KQ459 T09 C~8sur 2015 05 17.45456 14 40 24.06 -01 12 11.1 25.1g 15KQ459 T09 C~8sur 2015 05 17.46727 14 40 24.00 -01 12 10.8 25.1g 15KQ459 T09 C~8sur 2015 05 23.41233 14 39 56.69 -01 10 50.4 25.1z 15KQ459 T09 C~8sur 2015 05 23.44485 14 39 56.53 -01 10 50.1 25.0z 15KQ459 T09 C~8sur 2015 05 26.29606 14 39 43.86 -01 10 17.4 24.5y 15KQ459 T09 C~8sur 2015 05 26.31072 14 39 43.78 -01 10 17.6 23.5y 15KQ459 T09 C~8sur 2015 05 26.32836 14 39 43.69 -01 10 17.1 23.9y 15KQ459 T09 C~8sur 2015 05 26.35487 14 39 43.59 -01 10 17.1 24.3y 15KQ459 T09 C~8sur
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 -3.64 0.02 -0.46 -0.04
3 0.0002 -4.59 0.05 -0.46 0.08
4 0.0003 -7.13 -0.02 -0.88 -0.06
5 0.0003 -8.08 -0.05 -0.87 0.04
6 0.0166 -422.22 0.03 -52.79 0.01
7 0.0167 -424.59 -0.09 -53.26 -0.13
8 0.0245 -615.28 0.12 -81.72 0.25
9 0.0245 -616.36 0.02 -82.29 -0.16
10 0.0246 -617.80 -0.23 -82.23 0.09
11 0.0246 -619.22 0.13 -82.70 -0.09
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.
15KQ459 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