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: 13HW156
# Created Sun Dec 22 02:09:27 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 31 observations of 31
# Arc: 20.23y
# First observation: 2001/04/16
# Last observation: 2021/07/09
# Chi-squared of fit: 26.63 DOF: 56 RMS: 0.16
# Min/Max residuals: -0.29 0.43
# Exact a, adot, b, bdot, g, gdot:
1.966017E-05 4.143440E-02 1.577744E-06 2.807337E-03 3.341251E-02 4.174673E-03
# Covariance matrix:
4.3420E-13 -6.3787E-14 1.2835E-14 -3.0112E-15 7.4320E-14 -5.4725E-14
-6.3787E-14 1.2824E-14 -3.0882E-15 7.3366E-16 -1.1854E-14 1.2571E-14
1.2835E-14 -3.0882E-15 2.2603E-13 -1.4831E-14 -1.5640E-16 -3.1081E-15
-3.0112E-15 7.3366E-16 -1.4831E-14 1.2288E-15 6.5741E-16 6.9602E-16
7.4320E-14 -1.1854E-14 -1.5640E-16 6.5741E-16 4.0930E-13 -3.9929E-14
-5.4725E-14 1.2571E-14 -3.1081E-15 6.9602E-16 -3.9929E-14 1.5423E-14
# lat0 lon0 xBary yBary zBary JD0
9.464583 -167.286786 -0.239307 0.161084 -0.967231 2452015.703629
# Heliocentric elements and errors
Epoch: 2452016.5000 = 2001/04/17
Mean Anomaly: 19.94604 +/- 25.813
Argument of Peri: 34.48006 +/- 0.000
Long of Asc Node: 125.93029 +/- 0.000
Inclination: 9.92714 +/- 0.000
Eccentricity: 0.24325414 +/- 0.0003
Semi-Major Axis: 39.53046490 +/- 0.0056
Time of Perihelion: 2446986.7035 +/- 6509.4
Perihelion: 29.91451584 +/- 0.0112
Aphelion: 49.14641395 +/- 0.0125
Period (y) 248.5456 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -29.69769591 +/- 0.0010
Ecliptic Y -6.94136756 +/- 0.0002
Ecliptic Z 4.92151698 +/- 0.0002
Ecliptic XDOT 0.00044657 +/- 0.0000
Ecliptic YDOT -0.00337521 +/- 0.0000
Ecliptic ZDOT 0.00028335 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 30.89260552 +/- 0.0010
Geocenter to KBO 29.92888860 +/- 0.0011
# Hcoef: 7.32
The following table shows the complete astrometric record for 13HW156. 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 (13HW156) followed by the observatory code and reference code for the source of the astrometry.
2001 04 16.202886 13 01 29.85 +03 41 57.7 21.9V 13HW156 645 C~2e9a 2001 04 16.203715 13 01 29.85 +03 41 57.8 21.8V 13HW156 645 C~2e9a 2001 04 16.206203 13 01 29.83 +03 41 57.7 22.7V 13HW156 645 C~2e9a 2006 05 25.183413 13 42 01.18 +00 08 06.1 13HW156 645 C~2e9a 2006 05 25.184242 13 42 01.18 +00 08 06.1 13HW156 645 C~2e9a 2006 05 25.186730 13 42 01.16 +00 08 06.1 13HW156 645 C~2e9a 2010 05 11.35679 14 16 32.014 -02 50 20.77 22.5r 13HW156 F51 C~1w3u 2011 01 11.62685 14 29 40.953 -04 22 06.25 22.8w 13HW156 F51 C~1w3u 2011 04 30.39927 14 25 42.172 -03 36 59.12 22.8w 13HW156 F51 C~1w3u 2011 04 30.41279 14 25 42.080 -03 36 58.89 23.2w 13HW156 F51 C~1w3u 2011 04 30.44149 14 25 41.934 -03 36 57.90 23.2w 13HW156 F51 C~1w3u 2012 05 18.36237 14 31 58.617 -04 10 24.69 22.9w 13HW156 F51 C~1w3u 2012 05 18.37593 14 31 58.549 -04 10 24.36 22.6w 13HW156 F51 C~1w3u 2012 05 18.38954 14 31 58.481 -04 10 24.20 22.5w 13HW156 F51 C~1w3u 2012 05 18.40320 14 31 58.400 -04 10 23.76 22.6w 13HW156 F51 C~1w3u 2013 04 17.50412 14 42 49.107 -05 04 09.36 22.2w 13HW156 F51 C~1w3u 2013 04 17.53443 14 42 48.979 -05 04 08.01 22.2w 13HW156 F51 C~1w3u 2013 05 10.38838 14 40 40.051 -04 53 36.43 22.4w 13HW156 F51 C~1w3u 2013 05 10.40324 14 40 39.968 -04 53 36.08 22.6w 13HW156 F51 C~1w3u 2013 05 10.41812 14 40 39.876 -04 53 35.80 22.7w 13HW156 F51 C~1w3u 2013 05 10.43297 14 40 39.795 -04 53 35.14 22.8w 13HW156 F51 C~1w3u 2018 05 20.164270 15 18 14.77 -07 57 50.7 22.5G 13HW156 705 C~2rA7 2018 05 20.209830 15 18 14.49 -07 57 49.8 23.0G 13HW156 705 C~2rA7 2018 05 20.243460 15 18 14.31 -07 57 49.2 22.9G 13HW156 705 C~2rA7 2021 06 12.308950 15 38 14.707 -09 33 11.45 22.7w 13HW156 F51 C~4qK9 2021 06 12.320082 15 38 14.679 -09 33 11.17 22.7w 13HW156 F51 C~4qK9 2021 06 12.331238 15 38 14.596 -09 33 11.36 22.8w 13HW156 F51 C~4qK9 2021 06 12.342356 15 38 14.559 -09 33 11.11 22.8w 13HW156 F51 C~4qK9 2021 07 09.205380 15 36 23.953 -09 32 00.53 22.3G 13HW156 G37 C~4uuH 2021 07 09.240070 15 36 23.860 -09 32 00.72 13HW156 G37 C~4uuH 2021 07 09.272750 15 36 23.740 -09 32 00.69 13HW156 G37 C~4uuH
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 -0.03 0.00 -0.04
2 0.0000 0.00 0.04 0.00 0.03
3 0.0000 0.00 -0.04 0.00 -0.15
4 5.1060 0.00 -0.06 0.00 -0.18
5 5.1060 0.00 -0.01 0.00 -0.19
6 5.1060 0.00 -0.14 0.00 -0.23
7 9.0682 0.00 0.06 0.00 0.06
8 9.7397 0.00 0.09 0.00 -0.16
9 10.0375 0.00 0.00 0.00 0.38
10 10.0375 0.00 -0.19 0.00 0.22
11 10.0376 0.00 0.13 0.00 0.40
12 11.0887 0.00 -0.05 0.00 -0.02
13 11.0888 0.00 0.05 0.00 0.04
14 11.0888 0.00 0.15 0.00 -0.07
15 11.0888 0.00 0.06 0.00 0.10
16 12.0036 0.00 -0.18 0.00 -0.01
17 12.0036 0.00 0.43 0.00 0.41
18 12.0662 0.00 -0.01 0.00 -0.01
19 12.0663 0.00 0.03 0.00 -0.01
20 12.0663 0.00 -0.06 0.00 -0.08
21 12.0663 0.00 0.00 0.00 0.22
22 17.0923 0.00 0.15 0.00 -0.19
23 17.0924 0.00 -0.17 0.00 -0.14
24 17.0925 0.00 0.00 0.00 -0.17
25 20.1563 0.00 -0.29 0.00 0.03
26 20.1564 0.00 0.14 0.00 0.22
27 20.1564 0.00 -0.25 0.00 -0.07
28 20.1564 0.00 0.04 0.00 0.08
29 20.2300 0.00 -0.02 0.00 -0.19
30 20.2301 0.00 0.22 0.00 -0.25
31 20.2302 0.00 -0.04 0.00 -0.10
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.
13HW156 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.373 39.373 39.372 ecceobj 0.240 0.240 0.240 incobj 9.933 9.933 9.933 qmin 29.160 29.173 29.057 qmax 50.443 50.438 50.562 amean 39.456 39.456 39.456 amin 38.932 38.924 38.910 amax 40.062 40.063 40.083 emean 0.233 0.239 0.243 emin 0.202 0.218 0.214 emax 0.262 0.260 0.263 imean 9.184 8.712 8.263 imin 7.556 7.557 7.266 imax 10.748 9.704 9.632 excite_mean 0.284 0.283 0.283 fracstop 1.000 1.000 1.000 cjmean 2.960 2.960 2.960 libcent 0 182.0 181.6 179.4 libamp 0 120.1 125.6 124.4 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 91.9 156.1 206.7 kozaiamp 53.5 106.8 154.2