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: 98WV31 # Created Sun Dec 22 02:07:59 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 19.09y # First observation: 1998/11/19 # Last observation: 2017/12/20 # Chi-squared of fit: 61.59 DOF: 50 RMS: 0.26 # Min/Max residuals: -0.52 0.81 # Exact a, adot, b, bdot, g, gdot: 1.990654E-05 3.593136E-02 7.321598E-07 3.397159E-03 3.127271E-02 7.822279E-03 # Covariance matrix: 1.8037E-13 -6.9485E-14 6.1290E-15 -5.7766E-15 2.1578E-13 -1.0503E-13 -6.9485E-14 5.1267E-14 -4.9668E-15 4.6764E-15 -1.7390E-13 8.5012E-14 6.1290E-15 -4.9668E-15 1.0477E-13 -8.3550E-15 1.5572E-14 -8.4658E-15 -5.7766E-15 4.6764E-15 -8.3550E-15 1.8456E-15 -1.6141E-14 7.9732E-15 2.1578E-13 -1.7390E-13 1.5572E-14 -1.6141E-14 8.4292E-13 -2.9688E-13 -1.0503E-13 8.5012E-14 -8.4658E-15 7.9732E-15 -2.9688E-13 1.4495E-13 # lat0 lon0 xBary yBary zBary JD0 -1.905242 39.209747 -0.300509 -0.031411 -0.936876 2451136.590871 # Heliocentric elements and errors Epoch: 2451136.5000 = 1998/11/19 Mean Anomaly: 39.77079 +/- 0.014 Argument of Peri: 274.87832 +/- 0.018 Long of Asc Node: 58.56342 +/- 0.000 Inclination: 5.71352 +/- 0.000 Eccentricity: 0.27620972 +/- 0.0001 Semi-Major Axis: 39.61344749 +/- 0.0068 Time of Perihelion: 2441075.8945 +/- 4.3 Perihelion: 28.67182812 +/- 0.0057 Aphelion: 50.55506687 +/- 0.0091 Period (y) 249.3286 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 25.30742295 +/- 0.0007 Ecliptic Y 21.02852830 +/- 0.0006 Ecliptic Z -1.06307039 +/- 0.0000 Ecliptic XDOT -0.00145120 +/- 0.0000 Ecliptic YDOT 0.00288544 +/- 0.0000 Ecliptic ZDOT 0.00027445 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.92090633 +/- 0.0007 Geocenter to KBO 31.97665760 +/- 0.0009 # Hcoef: 8.08
The following table shows the complete astrometric record for 98WV31. 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 (98WV31) followed by the observatory code and reference code for the source of the astrometry.
1998 11 19.09014 02 29 45.19 +12 45 25.3 22.3R 98WV31 695 a3608 1998 11 19.17149 02 29 44.73 +12 45 23.3 98WV31 695 a3608 1998 11 19.24648 02 29 44.29 +12 45 21.6 98WV31 695 a3608 1998 12 17.85605 02 27 26.66 +12 36 04.9 22.6R 98WV31 950 a3608 1998 12 17.88994 02 27 26.54 +12 36 04.3 98WV31 950 a3608 1998 12 17.92538 02 27 26.40 +12 36 03.8 98WV31 950 a3608 1998 12 18.83184 02 27 23.12 +12 35 52.0 22.6R 98WV31 950 a3608 1998 12 18.88479 02 27 22.93 +12 35 51.0 98WV31 950 a3608 1999 01 22.22925 02 26 24.01 +12 34 05.2 22.4R 98WV31 568 Ca5545 1999 01 23.24738 02 26 24.36 +12 34 12.8 98WV31 568 Ca5545 1999 11 10.27125 02 38 23.06 +13 38 34.6 22.4R 98WV31 695 Ca7322 1999 11 10.36797 02 38 22.46 +13 38 32.3 98WV31 695 Ca7322 1999 11 11.26736 02 38 17.12 +13 38 09.7 23.2R 98WV31 695 Ca7322 1999 11 11.36240 02 38 16.59 +13 38 07.4 98WV31 695 Ca7322 2002 11 05.41694 03 01 39.44 +15 58 11.2 22.5R 98WV31 568 Cl8244 2002 11 05.47431 03 01 39.09 +15 58 10.0 98WV31 568 Cl8244 2004 09 21.330140 03 20 02.44 +17 34 02.8 21.2V 98WV31 645 C~1SKn 2004 09 21.330969 03 20 02.43 +17 34 02.7 22.0V 98WV31 645 C~1SKn 2004 09 21.333457 03 20 02.42 +17 34 02.7 26.0V 98WV31 645 C~1SKn 2008 10 22.27696 03 46 28.63 +19 51 00.5 24.4r 98WV31 695 C~0gLs 2008 10 22.30817 03 46 28.48 +19 51 00.1 24.4r 98WV31 695 C~0gLs 2008 11 01.60652 03 45 33.37 +19 48 23.1 26.0R 98WV31 250 S~06AK 2008 11 01.61346 03 45 33.32 +19 48 23.0 98WV31 250 S~06AK 2008 11 01.61971 03 45 33.29 +19 48 23.1 98WV31 250 S~06AK 2008 11 01.62666 03 45 33.25 +19 48 22.9 98WV31 250 S~06AK 2017 12 20.32208 04 41 56.052 +23 40 10.50 23.4R 98WV31 G37 C~2Uuz 2017 12 20.39464 04 41 55.649 +23 40 09.72 98WV31 G37 C~2Uuz 2017 12 20.44953 04 41 55.337 +23 40 09.36 98WV31 G37 C~2Uuz
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 -0.41 0.00 0.08
2 0.0002 0.00 -0.31 0.00 0.05
3 0.0004 0.00 -0.42 0.00 0.17
4 0.0788 0.00 -0.19 0.00 0.08
5 0.0788 0.00 -0.06 0.00 -0.07
6 0.0789 0.00 -0.15 0.00 -0.10
7 0.0814 0.00 0.06 0.00 -0.05
8 0.0816 0.00 0.15 0.00 -0.38
9 0.1756 0.00 0.28 0.00 -0.03
10 0.1784 0.00 -0.22 0.00 -0.05
11 0.9752 0.00 0.31 0.00 -0.26
12 0.9754 0.00 0.10 0.00 -0.08
13 0.9779 0.00 0.15 0.00 0.25
14 0.9782 0.00 0.81 0.00 0.37
15 3.9626 0.00 0.02 0.00 0.59
16 3.9627 0.00 0.01 0.00 0.73
17 5.8405 0.00 -0.04 0.00 -0.43
18 5.8405 0.00 -0.15 0.00 -0.52
19 5.8405 0.00 -0.18 0.00 -0.49
20 9.9252 0.00 0.02 0.00 -0.04
21 9.9253 0.00 0.17 0.00 -0.00
22 9.9535 0.00 0.12 0.00 0.04
23 9.9535 0.00 -0.04 0.00 0.06
24 9.9535 0.00 0.03 0.00 0.26
25 9.9536 0.00 0.02 0.00 0.17
26 19.0862 0.00 -0.09 0.00 0.07
27 19.0864 0.00 0.06 0.00 0.00
28 19.0865 0.00 0.05 0.00 0.19
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.
98WV31 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.636 39.636 39.636 ecceobj 0.275 0.275 0.275 incobj 5.710 5.710 5.710 qmin 28.194 28.186 28.193 qmax 51.427 51.311 51.390 amean 39.455 39.455 39.455 amin 38.974 38.970 38.974 amax 40.040 40.007 40.023 emean 0.271 0.271 0.271 emin 0.255 0.255 0.256 emax 0.285 0.284 0.285 imean 5.029 5.030 5.025 imin 4.360 4.364 4.356 imax 5.764 5.766 5.758 excite_mean 0.285 0.285 0.285 fracstop 1.000 1.000 1.000 cjmean 2.958 2.958 2.958 libcent 0 180.2 179.8 179.8 libamp 0 91.5 91.5 91.6 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 169.9 169.8 169.8 kozaiamp 179.9 180.0 180.0