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: 98WY31
# Created Sun Dec 22 02:07:59 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 29 observations of 29
# Arc: 24.26y
# First observation: 1998/11/18
# Last observation: 2023/02/20
# Chi-squared of fit: 26.33 DOF: 52 RMS: 0.17
# Min/Max residuals: -0.49 0.41
# Exact a, adot, b, bdot, g, gdot:
1.546983E-05 2.088763E-02 1.328848E-06 7.097256E-04 2.254188E-02 -2.342574E-03
# Covariance matrix:
2.2800E-13 -3.0164E-14 2.5849E-15 -8.7027E-16 8.7017E-14 -4.4671E-14
-3.0164E-14 8.1877E-15 -7.8246E-16 2.6923E-16 -3.5178E-15 1.3361E-14
2.5849E-15 -7.8246E-16 1.0538E-13 -5.7696E-15 5.0370E-16 -1.3716E-15
-8.7027E-16 2.6923E-16 -5.7696E-15 5.5423E-16 -1.4084E-16 4.7109E-16
8.7017E-14 -3.5178E-15 5.0370E-16 -1.4084E-16 1.3019E-13 -9.5060E-15
-4.4671E-14 1.3361E-14 -1.3716E-15 4.7109E-16 -9.5060E-15 2.3444E-14
# lat0 lon0 xBary yBary zBary JD0
0.340721 73.748801 0.294933 0.005359 -0.939232 2451135.927691
# Heliocentric elements and errors
Epoch: 2451136.5000 = 1998/11/19
Mean Anomaly: 276.84935 +/- 0.018
Argument of Peri: 106.03713 +/- 0.024
Long of Asc Node: 63.63309 +/- 0.001
Inclination: 1.97322 +/- 0.000
Eccentricity: 0.11457810 +/- 0.0000
Semi-Major Axis: 45.32941719 +/- 0.0029
Time of Perihelion: 2476883.8039 +/- 10.0
Perihelion: 40.13565866 +/- 0.0026
Aphelion: 50.52317571 +/- 0.0033
Period (y) 305.1957 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.96813102 +/- 0.0002
Ecliptic Y 43.40726986 +/- 0.0007
Ecliptic Z 0.26387011 +/- 0.0000
Ecliptic XDOT -0.00251593 +/- 0.0000
Ecliptic YDOT 0.00044542 +/- 0.0000
Ecliptic ZDOT 0.00008448 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.30386194 +/- 0.0007
Geocenter to KBO 44.36197060 +/- 0.0007
# Hcoef: 6.86
The following table shows the complete astrometric record for 98WY31. 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 (98WY31) followed by the observatory code and reference code for the source of the astrometry.
1998 11 18.42696 04 49 19.14 +22 47 19.1 23.1R 98WY31 695 Ca3608 1998 11 18.49839 04 49 18.81 +22 47 18.7 98WY31 695 Ca3608 1999 01 15.19486 04 44 53.45 +22 39 55.9 23.7R 98WY31 695 Ca3608 1999 01 15.29128 04 44 53.08 +22 39 55.3 98WY31 695 Ca3608 2000 12 22.41733 04 56 51.41 +23 04 29.2 23.3R 98WY31 568 Cc3588 2000 12 23.36594 04 56 46.85 +23 04 22.4 98WY31 568 Cc3588 2000 12 23.43951 04 56 46.50 +23 04 21.9 98WY31 568 Cc3588 2000 12 27.28716 04 56 28.329 +23 03 55.28 98WY31 568 Cl2504 2000 12 27.35794 04 56 27.987 +23 03 54.98 98WY31 568 Cl2504 2001 01 25.12123 04 54 36.30 +23 01 05.1 24.0R 98WY31 695 Cc6418 2001 01 25.15704 04 54 36.19 +23 01 05.3 98WY31 695 Cc6418 2001 01 25.19465 04 54 36.07 +23 01 04.8 98WY31 695 Cc6418 2002 01 30.07841 04 59 34.49 +23 10 58.8 21.1 98WY31 304 Cf1458 2002 01 30.10037 04 59 34.44 +23 10 58.7 98WY31 304 Cf1458 2008 11 02.95374 05 43 32.22 +24 07 41.6 26.5R 98WY31 250 S~06AK 2008 11 02.95999 05 43 32.19 +24 07 41.5 98WY31 250 S~06AK 2008 11 02.96694 05 43 32.17 +24 07 41.5 98WY31 250 S~06AK 2008 11 02.97388 05 43 32.13 +24 07 41.4 98WY31 250 S~06AK 2008 12 21.39721 05 39 48.36 +24 06 40.4 22.6r 98WY31 695 C~0hkJ 2008 12 21.47242 05 39 47.97 +24 06 40.0 22.7r 98WY31 695 C~0hkJ 2008 12 22.37989 05 39 43.29 +24 06 38.3 22.8r 98WY31 695 C~0hkJ 2015 02 18.15116 06 09 16.07 +24 24 36.4 22.0R 98WY31 695 C~1M5z 2015 02 18.19828 06 09 15.92 +24 24 36.5 98WY31 695 C~1M5z 2021 12 01.425900 06 55 38.019 +24 04 44.92 23.5G 98WY31 G37 C~5J0s 2021 12 01.465300 06 55 37.841 +24 04 45.25 98WY31 G37 C~5J0s 2021 12 01.505040 06 55 37.682 +24 04 45.55 98WY31 G37 C~5J0s 2023 02 20.123390 06 55 08.570 +24 07 43.34 22.8G 98WY31 G37 C~6EkN 2023 02 20.168060 06 55 08.432 +24 07 44.24 98WY31 G37 C~6EkN 2023 02 20.213500 06 55 08.267 +24 07 44.11 98WY31 G37 C~6EkN
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 -0.16 0.00 -0.19
2 0.0002 0.00 -0.00 0.00 -0.05
3 0.1582 0.00 0.33 0.00 -0.03
4 0.1584 0.00 -0.07 0.00 -0.02
5 2.0944 0.00 0.03 0.00 0.02
6 2.0970 0.00 -0.10 0.00 -0.16
7 2.0972 0.00 0.02 0.00 -0.14
8 2.1078 0.00 -0.12 0.00 -0.16
9 2.1080 0.00 -0.22 0.00 0.02
10 2.1867 0.00 0.18 0.00 -0.12
11 2.1868 0.00 0.14 0.00 0.24
12 2.1869 0.00 0.02 0.00 -0.08
13 3.1996 0.00 -0.09 0.00 -0.00
14 3.1997 0.00 0.05 0.00 -0.02
15 9.9590 0.00 0.07 0.00 0.41
16 9.9590 0.00 -0.06 0.00 0.31
17 9.9590 0.00 -0.01 0.00 0.31
18 9.9591 0.00 -0.26 0.00 0.22
19 10.0916 0.00 -0.19 0.00 0.10
20 10.0918 0.00 -0.15 0.00 -0.11
21 10.0943 0.00 -0.07 0.00 0.15
22 16.2511 0.00 0.30 0.00 -0.12
23 16.2513 0.00 -0.14 0.00 -0.00
24 23.0363 0.00 0.11 0.00 -0.09
25 23.0364 0.00 -0.00 0.00 -0.03
26 23.0365 0.00 0.20 0.00 0.00
27 24.2565 0.00 -0.14 0.00 -0.49
28 24.2566 0.00 0.01 0.00 0.26
29 24.2568 0.00 -0.21 0.00 -0.01
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.
98WY31 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.488 45.488 45.488 ecceobj 0.116 0.116 0.116 incobj 1.973 1.973 1.973 qmin 39.095 39.093 39.099 qmax 51.722 51.717 51.728 amean 45.253 45.253 45.253 amin 44.876 44.879 44.874 amax 45.665 45.664 45.666 emean 0.118 0.118 0.118 emin 0.103 0.103 0.103 emax 0.133 0.133 0.133 imean 1.113 1.113 1.113 imin 0.326 0.326 0.326 imax 1.682 1.682 1.682 excite_mean 0.119 0.119 0.119 fracstop 1.000 1.000 1.000 cjmean 3.099 3.099 3.099 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 168.5 168.5 168.5 kozaiamp 179.9 180.0 180.0