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: 10XZ78 # Created Tue Jul 17 01:37:49 2018 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 24 # Arc: 2.39y # First observation: 2010/11/13 # Last observation: 2013/04/03 # Chi-squared of fit: 51.33 DOF: 40 RMS: 0.26 # Min/Max residuals: -0.34 0.75 # Exact a, adot, b, bdot, g, gdot: 3.591650E-05 4.689692E-01 -2.886532E-05 -3.728793E-01 2.053537E-01 -5.490961E-02 # Covariance matrix: 2.1073E-13 -1.7834E-13 -3.1575E-14 2.4818E-13 2.7401E-13 -3.0233E-13 -1.7834E-13 3.1423E-13 6.3265E-14 -3.5873E-13 -2.0198E-13 3.3427E-13 -3.1575E-14 6.3265E-14 9.2529E-14 -1.2503E-13 -4.5658E-14 7.7249E-14 2.4818E-13 -3.5873E-13 -1.2503E-13 5.9179E-13 4.4599E-13 -5.8224E-13 2.7401E-13 -2.0198E-13 -4.5658E-14 4.4599E-13 6.1446E-13 -6.0790E-13 -3.0233E-13 3.3427E-13 7.7249E-14 -5.8224E-13 -6.0790E-13 6.9078E-13 # lat0 lon0 xBary yBary zBary JD0 -3.775066 81.253710 0.498794 -0.056136 -0.850775 2455513.849866 # Heliocentric elements and errors Epoch: 2455514.5000 = 2010/11/14 Mean Anomaly: 336.51683 +/- 0.369 Argument of Peri: 228.37006 +/- 0.000 Long of Asc Node: 252.29408 +/- 0.000 Inclination: 39.24443 +/- 0.000 Eccentricity: 0.29533120 +/- 0.0001 Semi-Major Axis: 7.64319260 +/- 0.0001 Time of Perihelion: 2456017.9599 +/- 7.9 Perihelion: 5.38591935 +/- 0.0007 Aphelion: 9.90046584 +/- 0.0007 Period (y) 21.1310 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 1.36553974 +/- 0.0000 Ecliptic Y 5.56844355 +/- 0.0001 Ecliptic Z -0.32077318 +/- 0.0000 Ecliptic XDOT -0.00634091 +/- 0.0000 Ecliptic YDOT -0.00008843 +/- 0.0000 Ecliptic ZDOT -0.00491238 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 5.74243610 +/- 0.0001 Geocenter to KBO 4.86970108 +/- 0.0001 # Hcoef: 12.47
The following table shows the complete astrometric record for 10XZ78. 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 (10XZ78) followed by the observatory code and reference code for the source of the astrometry.
2010 11 13.34910 05 22 58.55 +19 23 01.1 20.2V 10XZ78 691 C~0X22 2010 11 13.36680 05 22 58.07 +19 22 56.6 20.5V 10XZ78 691 C~0X22 2010 11 13.38449 05 22 57.63 +19 22 51.9 20.4V 10XZ78 691 C~0X22 2010 12 04.34980 05 12 36.10 +17 50 42.9 20.2V 10XZ78 G96 C~0QlH 2010 12 04.35734 05 12 35.85 +17 50 40.9 20.0V 10XZ78 G96 C~0QlH 2010 12 04.36497 05 12 35.60 +17 50 38.8 19.9V 10XZ78 G96 C~0QlH 2010 12 04.37250 05 12 35.35 +17 50 36.8 20.0V 10XZ78 G96 C~0QlH 2010 12 14.24631 05 07 11.20 +17 07 32.7 19.7V 10XZ78 G96 C~0QlH 2010 12 14.25142 05 07 11.02 +17 07 31.2 19.6V 10XZ78 G96 C~0QlH 2010 12 14.25667 05 07 10.84 +17 07 30.0 19.5V 10XZ78 G96 C~0QlH 2010 12 14.28351 05 07 09.94 +17 07 22.8 19.9V 10XZ78 G96 C~0QlH 2010 12 14.29101 05 07 09.69 +17 07 21.0 19.6V 10XZ78 G96 C~0QlH 2010 12 14.29843 05 07 09.44 +17 07 18.8 19.8V 10XZ78 G96 C~0QlH 2010 12 14.30593 05 07 09.15 +17 07 17.4 19.7V 10XZ78 G96 C~0QlH 2011 01 08.23208 04 54 58.14 +15 29 08.9 19.6V 10XZ78 G96 C~0X22 2011 01 08.23888 04 54 58.03 +15 29 07.9 20.2V 10XZ78 G96 C~0X22 2011 01 08.25289 04 54 57.63 +15 29 05.0 20.4V 10XZ78 G96 C~0X22 2011 12 06.42166 07 12 02.41 -04 41 43.2 19.7R 10XZ78 F65 C~0bz0 2011 12 06.42755 07 12 02.27 -04 41 45.2 19.7R 10XZ78 F65 C~0bz0 2011 12 06.43342 07 12 02.13 -04 41 47.2 19.8R 10XZ78 F65 C~0bz0 2011 12 24.40885 07 03 37.33 -06 10 40.5 19.6R 10XZ78 688 C~0bz0 2011 12 24.43228 07 03 36.62 -06 10 45.6 10XZ78 688 C~0bz0 2013 04 03.52065 08 32 32.49 -26 10 54.0 19.3R 10XZ78 E10 C~0qTC 2013 04 03.53585 08 32 32.47 -26 10 49.0 19.4R 10XZ78 E10 C~0qTC
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 ( 0.02) 0.00 ( 13.29) 2 0.0000 0.00 0.04 0.00 0.29 3 0.0001 0.00 0.34 0.00 0.15 4 0.0575 0.00 0.56 0.00 0.25 5 0.0575 0.00 0.57 0.00 0.25 6 0.0575 0.00 0.62 0.00 0.18 7 0.0576 0.00 0.63 0.00 0.18 8 0.0846 0.00 0.63 0.00 0.29 9 0.0846 0.00 0.49 0.00 0.11 10 0.0846 0.00 0.42 0.00 0.25 11 0.0847 0.00 0.36 0.00 -0.05 12 0.0847 0.00 0.37 0.00 0.08 13 0.0847 0.00 0.34 0.00 -0.21 14 0.0848 0.00 -0.25 0.00 0.33 15 0.1530 0.00 -0.11 0.00 0.11 16 0.1530 0.00 0.75 0.00 0.53 17 0.1531 0.00 -0.08 0.00 0.56 18 1.0625 0.00 0.26 0.00 0.27 19 1.0625 0.00 0.31 0.00 0.31 20 1.0625 0.00 0.35 0.00 0.34 21 1.1117 0.00 -0.14 0.00 -0.34 22 1.1118 0.00 0.49 0.00 0.24 23 2.3879 0.00 0.27 0.00 -0.22 24 2.3879 0.00 -0.12 0.00 -0.07
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.
10XZ78 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 7.621 7.621 7.621 ecceobj 0.294 0.294 0.294 incobj 39.294 39.294 39.294 qmin 4.272 4.532 4.731 qmax 14.510 10.272 10.959 amean 7.798 7.460 7.685 amin 7.260 6.837 7.467 amax 9.535 7.842 7.885 emean 0.380 0.306 0.328 emin 0.283 0.283 0.283 emax 0.522 0.337 0.397 imean 38.866 40.133 39.747 imin 36.284 39.474 38.550 imax 40.608 40.608 40.608 excite_mean 0.736 0.714 0.720 fracstop 0.001 0.000 0.001 cjmean 4.613 4.778 4.657 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 242.5 230.4 228.6 kozaiamp 14.2 11.1 6.1