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: 98UU43
# Created Sun Nov 22 02:37:09 2009
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 22
# Arc: 8.17y
# First observation: 1998/10/22
# Last observation: 2006/12/24
Preliminary a, adot, b, bdot, g, gdot:
-0.000610 0.027495 0.000083 -0.004507 0.026708 0.000000
# Chi-squared of fit: 72.19 DOF: 30 RMS: 0.35
# Min/Max residuals: -1.02 0.69
# Exact a, adot, b, bdot, g, gdot:
1.590113E-05 2.676144E-02 -1.587170E-06 -4.378457E-03 2.718441E-02 -3.283217E-03
# Covariance matrix:
3.6578E-13 -2.2282E-13 -1.9855E-14 3.3989E-14 3.3162E-13 -1.0373E-12
-2.2282E-13 2.5344E-13 2.5014E-14 -4.1671E-14 -1.4077E-13 1.2702E-12
-1.9855E-14 2.5014E-14 1.2913E-13 -3.1948E-14 -1.2757E-14 1.3423E-13
3.3989E-14 -4.1671E-14 -3.1948E-14 2.3890E-14 2.3764E-14 -2.2350E-13
3.3162E-13 -1.4077E-13 -1.2757E-14 2.3764E-14 6.7699E-13 -7.2789E-13
-1.0373E-12 1.2702E-12 1.3423E-13 -2.2350E-13 -7.2789E-13 6.8127E-12
# lat0 lon0 xBary yBary zBary JD0
2.386895 37.612680 0.147336 0.040476 -0.976508 2451108.850761
# Heliocentric elements and errors
Epoch: 2451100.5000 = 1998/10/14
Mean Anomaly: 263.36407 +/- 0.055
Argument of Peri: 276.32541 +/- 0.039
Long of Asc Node: 231.33002 +/- 0.000
Inclination: 9.55916 +/- 0.000
Eccentricity: 0.12520425 +/- 0.0001
Semi-Major Axis: 36.69064904 +/- 0.0044
Time of Perihelion: 2472891.0230 +/- 11.7
Perihelion: 32.09682377 +/- 0.0054
Aphelion: 41.28447431 +/- 0.0063
Period (y) 222.2498 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 29.98692048 +/- 0.0009
Ecliptic Y 22.91094598 +/- 0.0007
Ecliptic Z 1.53197240 +/- 0.0000
Ecliptic XDOT -0.00189240 +/- 0.0000
Ecliptic YDOT 0.00195372 +/- 0.0000
Ecliptic ZDOT -0.00045440 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.76868789 +/- 0.0008
Geocenter to KBO 36.78578614 +/- 0.0011
# Hcoef: 7.06
The following table shows the complete astrometric record for 98UU43. 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 (98UU43) followed by the observatory code and reference code for the source of the astrometry.
1998 10 22.35003 02 17 47.55 +16 18 22.5 98UU43 695 Ca3601 1998 10 22.48311 02 17 46.87 +16 18 18.5 98UU43 695 Ca3601 1998 11 18.07069 02 15 27.92 +16 05 19.9 21.5R 98UU43 695 Ch1090 1998 11 18.14591 02 15 27.54 +16 05 17.6 98UU43 695 Ch1090 1998 11 18.23096 02 15 27.03 +16 05 15.2 98UU43 695 Ch1090 1998 12 14.83617 02 13 35.14 +15 53 37.6 22.7R 98UU43 950 Ca3601 1998 12 14.85345 02 13 35.07 +15 53 37.3 98UU43 950 Ca3601 1999 11 10.16227 02 22 34.50 +16 25 15.5 22.5R 98UU43 695 Ca7321 1999 11 10.18814 02 22 34.40 +16 25 14.7 98UU43 695 Ca7321 1999 11 10.24322 02 22 34.07 +16 25 12.9 98UU43 695 Ca7321 1999 11 10.31381 02 22 33.61 +16 25 10.7 98UU43 696 Ca7321 1999 11 10.37010 02 22 33.30 +16 25 09.0 22.7R 98UU43 696 Ca7321 1999 11 10.41551 02 22 33.04 +16 25 07.8 98UU43 696 Ca7321 1999 11 11.24109 02 22 28.74 +16 24 43.8 98UU43 696 Ca7321 1999 11 11.28637 02 22 28.51 +16 24 42.8 98UU43 696 Ca7321 1999 11 11.33656 02 22 28.17 +16 24 41.3 98UU43 696 Ca7321 2000 11 23.18416 02 27 52.14 +16 34 03.5 22.3R 98UU43 695 Cc2188 2000 11 23.36171 02 27 51.25 +16 33 58.8 98UU43 695 Cc2188 2003 09 28.41448 02 52 24.32 +17 39 25.9 22.4R 98UU43 688 Ci6006 2003 09 28.47791 02 52 24.04 +17 39 25.9 98UU43 688 Ci6006 2006 12 24.25190 03 05 25.31 +17 39 56.4 23.1R 98UU43 688 Ct1736 2006 12 24.32942 03 05 24.84 +17 39 56.4 98UU43 688 Ct1736
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 -0.07 0.00 -0.20 2 0.0004 -10.56 0.27 -0.56 -0.53 3 0.0732 -2156.95 0.17 -75.83 0.09 4 0.0734 -2162.88 0.08 -76.19 -0.03 5 0.0736 -2170.61 -1.02 -76.02 0.42 6 0.1464 -3924.51 0.20 -198.32 -0.40 7 0.1465 -3925.56 0.06 -198.27 -0.27 8 1.0508 4039.93 ( 1.44) -954.04 ( -0.01) 9 1.0509 4038.31 ( 1.95) -954.33 ( -0.23) 10 1.0510 4033.23 ( 1.40) -954.50 ( -0.26) 11 1.0512 4026.25 0.25 -954.45 -0.01 12 1.0514 4021.48 0.11 -954.62 -0.02 13 1.0515 4017.55 -0.09 -954.55 0.20 14 1.0538 3951.22 0.29 -957.29 0.14 15 1.0539 3947.77 0.56 -957.16 0.39 16 1.0540 3942.65 -0.44 -957.00 0.69 17 2.0885 8542.12 -0.19 -1915.06 -0.11 18 2.0890 8528.47 -0.14 -1915.46 0.11 19 4.9338 30056.15 -0.04 -4570.56 -1.00 20 4.9340 30052.23 -0.06 -4569.39 0.25 21 8.1722 41120.98 0.06 -7723.78 0.28 22 8.1724 41114.25 ( -2.01) -7721.90 ( 2.39)
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.
98UU43 quality flag:3 Type: 4:3E 4:3E 4:3E axisobj 36.752 36.766 36.739 ecceobj 0.127 0.126 0.127 incobj 9.546 9.546 9.546 qmin 30.716 30.731 30.678 qmax 42.420 42.422 42.471 amean 36.476 36.476 36.476 amin 36.366 36.362 36.370 amax 36.582 36.591 36.580 emean 0.137 0.137 0.137 emin 0.114 0.114 0.113 emax 0.160 0.160 0.161 imean 11.186 11.262 11.104 imin 9.836 9.745 9.683 imax 12.908 13.062 12.859 excite_mean 0.238 0.239 0.237 fracstop 1.000 1.000 1.000 cjmean 2.964 2.964 2.965 libcent 0 180.0 180.8 180.6 libamp 0 65.5 70.9 65.8 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 178.6 176.8 178.2 kozaiamp 179.9 180.0 180.0