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: 15KU178 # Created Fri Nov 22 02:10:24 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 7 observations of 7 # Arc: 10.02y # First observation: 2005/05/14 # Last observation: 2015/05/23 # Chi-squared of fit: 4.92 DOF: 8 RMS: 0.15 # Min/Max residuals: -0.21 0.42 # Exact a, adot, b, bdot, g, gdot: 1.478590E-05 2.417138E-02 -4.910100E-06 -9.134252E-03 2.583653E-02 2.569038E-03 # Covariance matrix: 5.2196E-13 2.1242E-11 1.1365E-14 -8.0906E-12 1.4364E-11 8.8756E-11 2.1242E-11 1.4216E-08 7.9274E-12 -5.4297E-09 3.2802E-09 5.9578E-08 1.1365E-14 7.9274E-12 3.7182E-13 -3.0645E-12 1.7905E-12 3.3224E-11 -8.0906E-12 -5.4297E-09 -3.0645E-12 2.0738E-09 -1.2500E-09 -2.2755E-08 1.4364E-11 3.2802E-09 1.7905E-12 -1.2500E-09 1.4853E-09 1.3714E-08 8.8756E-11 5.9578E-08 3.3224E-11 -2.2755E-08 1.3714E-08 2.4968E-07 # lat0 lon0 xBary yBary zBary JD0 -1.816103 -132.479211 -0.109713 -0.031664 -1.001223 2453504.874123 # Heliocentric elements and errors Epoch: 2453504.5000 = 2005/05/14 Mean Anomaly: 73.08318 +/- 14.283 Argument of Peri: 100.08425 +/- 13.266 Long of Asc Node: 42.99308 +/- 0.001 Inclination: 20.73588 +/- 0.003 Eccentricity: 0.10461337 +/- 0.0175 Semi-Major Axis: 40.52082543 +/- 0.3341 Time of Perihelion: 2434378.2084 +/- 3745.3 Perihelion: 36.28180538 +/- 0.7688 Aphelion: 44.75984549 +/- 0.7986 Period (y) 257.9441 +/- 3.19 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.72458932 +/- 0.0392 Ecliptic Y -29.34530300 +/- 0.0428 Ecliptic Z -1.22678325 +/- 0.0018 Ecliptic XDOT 0.00172675 +/- 0.0000 Ecliptic YDOT -0.00191489 +/- 0.0000 Ecliptic ZDOT -0.00097603 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.70957654 +/- 0.0412 Geocenter to KBO 38.70485689 +/- 0.0581 # Hcoef: 6.78
The following table shows the complete astrometric record for 15KU178. 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 (15KU178) followed by the observatory code and reference code for the source of the astrometry.
2005 05 14.37338 14 58 04.28 -18 48 07.2 22.6r 15KU178 568 C~0D3W 2005 05 14.40709 14 58 04.10 -18 48 06.7 22.7r 15KU178 568 C~0D3W 2005 05 14.44596 14 58 03.89 -18 48 05.9 22.8r 15KU178 568 C~0D3W 2005 05 17.34300 14 57 48.70 -18 47 16.0 22.5r 15KU178 568 C~0D3W 2015 05 21.26242 15 48 59.27 -27 01 43.5 15KU178 W84 C~2zsT 2015 05 22.30761 15 48 53.43 -27 01 31.4 22.8V 15KU178 W84 C~2zsT 2015 05 23.21767 15 48 48.38 -27 01 20.9 15KU178 W84 C~2zsT
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 -0.04 0.00 -0.13
2 0.0001 0.00 -0.03 0.00 -0.21
3 0.0002 0.00 -0.05 0.00 -0.07
4 0.0081 0.00 0.09 0.00 0.42
5 10.0175 0.00 0.03 0.00 -0.01
6 10.0204 0.00 -0.12 0.00 0.06
7 10.0228 0.00 0.08 0.00 -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.
15KU178 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.076 40.076 40.076 ecceobj 0.101 0.101 0.101 incobj 20.844 20.844 20.844 qmin 35.545 35.573 35.510 qmax 45.302 45.292 45.386 amean 40.331 40.334 40.332 amin 40.007 40.010 40.000 amax 40.672 40.681 40.686 emean 0.098 0.099 0.099 emin 0.083 0.084 0.083 emax 0.115 0.115 0.116 imean 19.508 19.508 19.508 imin 18.665 18.662 18.664 imax 20.326 20.340 20.342 excite_mean 0.348 0.348 0.348 fracstop 1.000 1.000 1.000 cjmean 2.918 2.918 2.918 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 183.6 183.7 183.6 kozaiamp 180.0 180.0 180.0