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: 98WW31
# Created Wed Dec 25 02:07:54 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 38 observations of 38
# Arc: 20.94y
# First observation: 1998/11/18
# Last observation: 2019/10/26
# Chi-squared of fit: 121.08 DOF: 70 RMS: 0.32
# Min/Max residuals: -1.12 0.69
# Exact a, adot, b, bdot, g, gdot:
1.429977E-05 1.957301E-02 -5.769799E-07 -2.327220E-03 2.193332E-02 1.457877E-03
# Covariance matrix:
1.3839E-13 -2.7619E-14 -3.3435E-15 2.2424E-15 1.0977E-13 -4.5767E-14
-2.7619E-14 1.2727E-14 2.0502E-15 -1.3435E-15 -1.4068E-14 2.7209E-14
-3.3435E-15 2.0502E-15 6.5819E-14 -4.3881E-15 -4.4970E-16 4.7895E-15
2.2424E-15 -1.3435E-15 -4.3881E-15 8.1081E-16 4.4963E-16 -3.1252E-15
1.0977E-13 -1.4068E-14 -4.4970E-16 4.4963E-16 2.6520E-13 -1.0179E-14
-4.5767E-14 2.7209E-14 4.7895E-15 -3.1252E-15 -1.0179E-14 6.3198E-14
# lat0 lon0 xBary yBary zBary JD0
0.499625 52.918519 -0.054619 0.008336 -0.982937 2451135.715821
# Heliocentric elements and errors
Epoch: 2451136.5000 = 1998/11/19
Mean Anomaly: 111.04411 +/- 0.054
Argument of Peri: 56.02543 +/- 0.044
Long of Asc Node: 237.09213 +/- 0.000
Inclination: 6.78410 +/- 0.000
Eccentricity: 0.08568450 +/- 0.0000
Semi-Major Axis: 44.92461076 +/- 0.0041
Time of Perihelion: 2417211.6502 +/- 17.2
Perihelion: 41.07526788 +/- 0.0040
Aphelion: 48.77395364 +/- 0.0047
Period (y) 301.1166 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 28.04607659 +/- 0.0007
Ecliptic Y 37.18836153 +/- 0.0008
Ecliptic Z 0.39755591 +/- 0.0000
Ecliptic XDOT -0.00183850 +/- 0.0000
Ecliptic YDOT 0.00162944 +/- 0.0000
Ecliptic ZDOT -0.00028893 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 46.58014612 +/- 0.0008
Geocenter to KBO 45.59272345 +/- 0.0011
# Hcoef: 6.36
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 2008 10 22.34586 04 10 27.26 +20 14 14.0 98WW31 695 C~0gLs 2008 10 22.35335 04 10 27.25 +20 14 14.1 98WW31 695 C~0gLs 2008 10 22.37624 04 10 27.15 +20 14 13.6 98WW31 695 C~0gLs 2008 10 22.38377 04 10 27.14 +20 14 13.6 98WW31 695 C~0gLs 2011 12 24.26580 04 19 52.38 +20 13 04.4 23.6R 98WW31 688 C~0bcS 2011 12 24.31615 04 19 52.23 +20 13 05.2 98WW31 688 C~0bcS 2019 10 26.257010 05 00 57.048 +20 33 38.80 23.9G 98WW31 G37 C~3cUY 2019 10 26.348150 05 00 56.782 +20 33 37.91 98WW31 G37 C~3cUY 2019 10 26.355960 05 00 56.76 +20 33 37.8 24.0G 98WW31 705 C~3cUY 2019 10 26.412600 05 00 56.57 +20 33 37.4 23.2G 98WW31 705 C~3cUY 2019 10 26.444850 05 00 56.478 +20 33 36.96 98WW31 G37 C~3cUY 2019 10 26.473890 05 00 56.39 +20 33 36.8 22.9G 98WW31 705 C~3cUY
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 -0.23
2 0.0004 0.00 0.38 0.00 0.10
3 0.0007 0.00 -0.01 0.00 0.09
4 0.0817 0.00 -1.11 0.00 0.69
5 0.0818 0.00 -0.60 0.00 0.24
6 0.0819 0.00 -0.40 0.00 -0.40
7 0.1558 0.00 0.09 0.00 0.33
8 0.1562 0.00 -0.04 0.00 0.24
9 1.0322 0.00 -0.04 0.00 -0.14
10 1.0322 0.00 -0.16 0.00 0.19
11 1.0326 0.00 0.05 0.00 0.08
12 1.0326 0.00 -0.07 0.00 0.10
13 1.1338 0.00 0.46 0.00 -0.23
14 1.1364 0.00 0.31 0.00 0.11
15 1.1364 0.00 0.24 0.00 0.04
16 1.1365 0.00 0.34 0.00 -0.09
17 1.1365 0.00 0.22 0.00 -0.16
18 2.0150 0.00 -0.01 0.00 0.01
19 2.0156 0.00 -0.60 0.00 -0.37
20 2.0950 0.00 -0.05 0.00 -0.32
21 2.0975 0.00 0.37 0.00 -0.49
22 2.0978 0.00 -0.04 0.00 -0.45
23 2.1083 0.00 0.17 0.00 -0.01
24 2.1085 0.00 0.13 0.00 0.09
25 2.8994 0.00 0.25 0.00 0.34
26 2.8997 0.00 0.21 0.00 0.32
27 9.9278 0.00 -0.28 0.00 0.04
28 9.9278 0.00 -0.01 0.00 0.23
29 9.9279 0.00 -0.23 0.00 -0.01
30 9.9279 0.00 0.04 0.00 0.08
31 13.0980 0.00 -0.45 0.00 -1.12
32 13.0982 0.00 0.48 0.00 0.22
33 20.9365 0.00 -0.39 0.00 0.33
34 20.9367 0.00 0.02 0.00 0.12
35 20.9367 0.00 0.09 0.00 0.06
36 20.9369 0.00 -0.01 0.00 0.09
37 20.9370 0.00 0.17 0.00 -0.09
38 20.9371 0.00 0.28 0.00 -0.03
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 45.007 45.008 45.007 ecceobj 0.083 0.083 0.083 incobj 6.773 6.773 6.773 qmin 40.179 40.181 40.170 qmax 49.543 49.549 49.593 amean 44.709 44.709 44.709 amin 44.347 44.353 44.349 amax 45.096 45.090 45.089 emean 0.085 0.085 0.085 emin 0.072 0.072 0.072 emax 0.099 0.099 0.100 imean 8.338 8.338 8.338 imin 7.804 7.803 7.804 imax 8.836 8.830 8.834 excite_mean 0.168 0.168 0.168 fracstop 1.000 1.000 1.000 cjmean 3.075 3.075 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 175.6 175.6 175.5 kozaiamp 180.0 180.0 180.0