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: 01KL76 # Created Sat Apr 20 01:10:29 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 22 observations of 22 # Arc: 7.02y # First observation: 2001/05/22 # Last observation: 2008/05/30 # Chi-squared of fit: 23.78 DOF: 38 RMS: 0.18 # Min/Max residuals: -0.39 0.43 # Exact a, adot, b, bdot, g, gdot: 1.344428E-05 1.820876E-02 1.081245E-07 4.119139E-04 2.111298E-02 -7.761642E-04 # Covariance matrix: 2.7439E-13 -3.4411E-13 4.3566E-15 -7.5625E-15 4.3187E-14 -2.4275E-12 -3.4411E-13 9.0012E-13 -1.1865E-14 2.1284E-14 -4.5705E-13 6.8471E-12 4.3566E-15 -1.1865E-14 1.1938E-13 -2.2669E-14 5.8984E-15 -9.1285E-14 -7.5625E-15 2.1284E-14 -2.2669E-14 1.1476E-14 -1.1378E-14 1.6408E-13 4.3187E-14 -4.5705E-13 5.8984E-15 -1.1378E-14 6.2013E-13 -3.6773E-12 -2.4275E-12 6.8471E-12 -9.1285E-14 1.6408E-13 -3.6773E-12 5.2792E-11 # lat0 lon0 xBary yBary zBary JD0 -0.299650 -117.327815 0.027304 -0.005455 -1.018370 2452051.705673 # Heliocentric elements and errors Epoch: 2452052.5000 = 2001/05/23 Mean Anomaly: 206.88723 +/- 0.153 Argument of Peri: 145.19720 +/- 0.153 Long of Asc Node: 255.30236 +/- 0.003 Inclination: 1.33826 +/- 0.000 Eccentricity: 0.10218254 +/- 0.0003 Semi-Major Axis: 44.25961069 +/- 0.0076 Time of Perihelion: 2497794.8770 +/- 48.3 Perihelion: 39.73705117 +/- 0.0145 Aphelion: 48.78217021 +/- 0.0153 Period (y) 294.4554 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -22.23146636 +/- 0.0008 Ecliptic Y -42.96467316 +/- 0.0016 Ecliptic Z -0.24770229 +/- 0.0000 Ecliptic XDOT 0.00213539 +/- 0.0000 Ecliptic YDOT -0.00099254 +/- 0.0000 Ecliptic ZDOT 0.00005414 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 48.37628794 +/- 0.0014 Geocenter to KBO 47.36429939 +/- 0.0018 # Hcoef: 6.47
The following table shows the complete astrometric record for 01KL76. 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 (01KL76) followed by the observatory code and reference code for the source of the astrometry.
2001 05 22.20493 16 02 11.48 -20 59 17.7 23.0R 01KL76 807 Cd1817 2001 05 22.28507 16 02 11.12 -20 59 16.8 01KL76 807 Cd1817 2001 06 10.02432 16 00 48.95 -20 55 20.4 23.4R 01KL76 304 Cd1817 2001 06 10.09956 16 00 48.62 -20 55 19.5 01KL76 304 Cd1817 2001 07 24.27778 15 58 26.67 -20 48 13.7 01KL76 568 Cd3323 2001 07 24.31517 15 58 26.61 -20 48 13.3 01KL76 568 Cd3323 2001 07 25.30929 15 58 24.81 -20 48 07.6 01KL76 568 Cd3323 2002 03 22.57173 16 10 04.54 -21 19 11.5 01KL76 568 Cf4617 2002 03 22.60925 16 10 04.47 -21 19 11.6 01KL76 568 Cf4617 2002 04 06.27987 16 09 32.61 -21 17 48.6 22.7R 01KL76 807 Ch1324 2002 04 07.28495 16 09 29.87 -21 17 41.5 01KL76 807 Ch1324 2002 04 07.38104 16 09 29.57 -21 17 40.9 01KL76 807 Ch1324 2002 04 11.40992 16 09 17.84 -21 17 10.2 21.9R 01KL76 695 Cg5781 2002 04 11.45600 16 09 17.70 -21 17 10.3 01KL76 695 Cg5781 2002 04 11.53042 16 09 17.48 -21 17 09.5 22.8R 01KL76 568 Cf4617 2002 04 11.58560 16 09 17.31 -21 17 09.1 01KL76 568 Cf4617 2003 05 01.51568 16 12 31.62 -21 24 04.3 23.4R 01KL76 568 Ch9866 2003 05 01.56138 16 12 31.48 -21 24 03.7 01KL76 568 Ch9866 2008 05 30.60518 16 32 47.99 -22 03 33.6 23.5R 01KL76 250 S~06AP 2008 05 30.61143 16 32 47.95 -22 03 33.6 01KL76 250 S~06AP 2008 05 30.61768 16 32 47.92 -22 03 33.5 01KL76 250 S~06AP 2008 05 30.62462 16 32 47.89 -22 03 33.5 01KL76 250 S~06AP
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 0.05 0.00 0.03
2 0.0002 0.00 0.09 0.00 -0.09
3 0.0515 0.00 0.12 0.00 0.05
4 0.0517 0.00 0.01 0.00 0.04
5 0.1727 0.00 0.02 0.00 0.25
6 0.1728 0.00 0.19 0.00 0.43
7 0.1755 0.00 -0.04 0.00 0.42
8 0.8333 0.00 0.15 0.00 -0.13
9 0.8334 0.00 0.05 0.00 -0.39
10 0.8736 0.00 -0.14 0.00 0.14
11 0.8763 0.00 0.10 0.00 0.06
12 0.8766 0.00 -0.30 0.00 -0.04
13 0.8876 0.00 -0.15 0.00 0.11
14 0.8878 0.00 -0.10 0.00 -0.36
15 0.8880 0.00 -0.04 0.00 -0.18
16 0.8881 0.00 0.00 0.00 -0.22
17 1.9420 0.00 -0.28 0.00 -0.23
18 1.9421 0.00 0.43 0.00 -0.11
19 7.0237 0.00 0.11 0.00 0.03
20 7.0237 0.00 -0.07 0.00 -0.03
21 7.0237 0.00 -0.09 0.00 0.01
22 7.0237 0.00 -0.07 0.00 -0.06
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.
01KL76 quality flag:3 Type: 9:5EEEE 9:5EEEE 9:5EEEE axisobj 44.275 44.275 44.275 ecceobj 0.103 0.103 0.103 incobj 1.335 1.335 1.335 qmin 39.616 39.616 39.616 qmax 49.836 49.836 49.836 amean 44.555 44.555 44.555 amin 44.203 44.203 44.203 amax 44.955 44.955 44.955 emean 0.098 0.098 0.098 emin 0.088 0.088 0.088 emax 0.109 0.109 0.109 imean 3.075 3.075 3.075 imin 2.466 2.466 2.466 imax 3.694 3.694 3.694 excite_mean 0.112 0.112 0.112 fracstop 1.000 1.000 1.000 cjmean 3.093 3.093 3.093 libcent 0 181.6 181.6 181.6 libamp 0 56.0 56.1 55.9 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 180.5 180.5 180.5 kozaiamp 180.0 180.0 180.0