The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory.
# Object: 98WW31
# Created Fri May 2 02:36:27 2008
# Orbit generated from Bernstein formalism
# Fitting 25 observations of 26
# Arc: 2.90y
# First observation: 1998/11/18
# Last observation: 2001/10/12
Preliminary a, adot, b, bdot, g, gdot:
0.000041 0.019436 0.000001 -0.002312 0.021836 0.000000
# Chi-squared of fit: 48.89 DOF: 44 RMS: 0.25
# Min/Max residuals: -0.70 0.43
# Exact a, adot, b, bdot, g, gdot:
1.401810E-05 1.957304E-02 -5.030535E-07 -2.327408E-03 2.193279E-02 1.453576E-03
# Covariance matrix:
2.9033E-13 -5.4520E-14 3.3279E-15 -8.7637E-15 3.0694E-13 1.4372E-12
-5.4520E-14 4.3633E-13 1.6885E-14 -4.9520E-14 4.7146E-13 8.2142E-12
3.3279E-15 1.6885E-14 1.6961E-13 -9.1801E-14 2.5692E-14 3.9122E-13
-8.7637E-15 -4.9520E-14 -9.1801E-14 8.0036E-14 -7.3143E-14 -1.1419E-12
3.0694E-13 4.7146E-13 2.5692E-14 -7.3143E-14 1.1911E-12 1.2096E-11
1.4372E-12 8.2142E-12 3.9122E-13 -1.1419E-12 1.2096E-11 1.8933E-10
# lat0 lon0 xBary yBary zBary JD0
0.499625 52.918519 -0.054618 0.008336 -0.982938 2451135.715821
# Heliocentric elements and errors
Epoch: 2451130.5000 = 1998/11/13
Mean Anomaly: 111.07370 +/- 0.200
Argument of Peri: 56.00097 +/- 0.196
Long of Asc Node: 237.09182 +/- 0.000
Inclination: 6.78463 +/- 0.001
Eccentricity: 0.08547141 +/- 0.0006
Semi-Major Axis: 44.92749568 +/- 0.0054
Time of Perihelion: 2417193.3404 +/- 60.9
Perihelion: 41.08747924 +/- 0.0275
Aphelion: 48.76751212 +/- 0.0277
Period (y) 301.1456 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 28.04675193 +/- 0.0014
Ecliptic Y 37.18923381 +/- 0.0018
Ecliptic Z 0.39756889 +/- 0.0000
Ecliptic XDOT -0.00183887 +/- 0.0000
Ecliptic YDOT 0.00162906 +/- 0.0000
Ecliptic ZDOT -0.00028896 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 46.58129954 +/- 0.0017
Geocenter to KBO 45.59383776 +/- 0.0023
# Hcoef: 6.05
The following table shows the complete astrometric record for 98WW31. 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 (98WW31) followed by the observatory code and reference code for the source of the astrometry.
1998 11 18.21509 03 21 32.64 +18 59 07.3 22.6R 98WW31 695 Ca3608 1998 11 18.37940 03 21 31.90 +18 59 04.6 98WW31 695 Ca3608 1998 11 18.45365 03 21 31.53 +18 59 03.2 98WW31 695 Ca3608 1998 12 18.06375 03 19 25.75 +18 50 26.5 23.4R 98WW31 950 Ca3608 1998 12 18.10505 03 19 25.63 +18 50 25.4 98WW31 950 Ca3608 1998 12 18.14633 03 19 25.49 +18 50 24.1 98WW31 950 Ca3608 1999 01 14.13690 03 18 10.23 +18 44 50.3 23.3R 98WW31 695 Ca3608 1999 01 14.25171 03 18 10.01 +18 44 49.2 98WW31 695 Ca3608 1999 11 30.22025 03 25 23.98 +19 04 45.9 22.7R 98WW31 695 Cc9443 1999 11 30.22735 03 25 23.94 +19 04 46.1 22.8R 98WW31 695 Cc9443 1999 11 30.36822 03 25 23.32 +19 04 43.5 22.6R 98WW31 695 Cc9443 1999 11 30.37531 03 25 23.28 +19 04 43.4 22.3R 98WW31 695 Cc9443 2000 01 06.33309 03 23 09.10 +18 55 31.9 98WW31 568 Cc9443 2000 01 07.27523 03 23 06.76 +18 55 22.0 98WW31 568 Cc9443 2000 01 07.29704 03 23 06.70 +18 55 21.7 98WW31 568 Cc9443 2000 01 07.30363 03 23 06.69 +18 55 21.5 98WW31 568 Cc9443 2000 01 07.32440 03 23 06.63 +18 55 21.2 98WW31 568 Cc9443 2000 11 23.18897 03 30 36.60 +19 15 20.5 23.0R 98WW31 695 Cc9443 2000 11 23.40699 03 30 35.55 +19 15 16.3 98WW31 695 Cc9443 2000 12 22.41014 03 28 34.73 +19 07 25.6 98WW31 568 Cc9443 2000 12 23.34323 03 28 31.48 +19 07 12.3 98WW31 568 Cc9443 2000 12 23.43105 03 28 31.14 +19 07 11.1 98WW31 568 Cc9443 2000 12 27.27362 03 28 18.22 +19 06 19.4 98WW31 568 Cl2504 2000 12 27.34198 03 28 17.99 +19 06 18.6 98WW31 568 Cl2504 2001 10 12.22134 03 38 20.84 +19 34 39.3 19.9 98WW31 304 Ce8548 2001 10 12.33587 03 38 20.43 +19 34 37.8 98WW31 304 Ce8548
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 -0.24 2 0.0004 -10.84 0.43 0.05 -0.01 3 0.0007 -16.27 0.07 0.03 0.07 4 0.0817 -1873.92 ( -0.83) -44.27 ( 0.92) 5 0.0818 -1875.85 -0.48 -44.89 0.37 6 0.0819 -1878.11 -0.47 -45.64 -0.30 7 0.1558 -2996.89 0.14 -93.13 0.29 8 0.1562 -3000.19 -0.01 -93.38 0.23 9 1.0322 3260.66 -0.06 -495.61 -0.10 10 1.0322 3260.16 -0.09 -495.28 0.24 11 1.0326 3251.00 0.07 -495.61 0.09 12 1.0326 3250.42 -0.04 -495.57 0.14 13 1.1338 1269.71 0.31 -554.00 -0.30 14 1.1364 1235.08 0.26 -555.24 0.06 15 1.1364 1234.18 0.18 -555.31 0.01 16 1.1365 1233.99 0.23 -555.47 -0.14 17 1.1365 1233.09 0.11 -555.55 -0.18 18 2.0150 7713.98 -0.06 -964.61 0.08 19 2.0156 7698.52 -0.70 -965.11 -0.16 20 2.0950 5921.89 -0.22 -1006.54 -0.23 21 2.0975 5873.94 0.12 -1008.20 -0.49 22 2.0978 5868.97 -0.25 -1008.18 -0.35 23 2.1083 5678.62 0.05 -1013.60 0.03 24 2.1085 5675.26 0.04 -1013.58 0.13 25 2.8994 14389.47 0.20 -1387.62 0.39 26 2.8997 14383.46 0.15 -1387.74 0.37
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.
98WW31 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.012 45.028 44.997 ecceobj 0.083 0.083 0.083 incobj 6.773 6.773 6.774 qmin 40.146 40.099 40.145 qmax 49.570 49.587 49.520 amean 44.714 44.729 44.699 amin 44.354 44.366 44.347 amax 45.101 45.113 45.082 emean 0.085 0.085 0.085 emin 0.072 0.071 0.072 emax 0.099 0.099 0.099 imean 8.338 8.337 8.340 imin 7.799 7.802 7.803 imax 8.834 8.827 8.829 fracstop 1.000 1.000 1.000 cjmean 3.075 3.076 3.075 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 175.8 175.7 175.7 kozaiamp 180.0 180.0 180.0