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: 13VZ70
# Created Sun Dec 22 02:09:51 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 43 observations of 43
# Arc: 6.49y
# First observation: 2013/08/09
# Last observation: 2020/02/03
# Chi-squared of fit: 25.89 DOF: 80 RMS: 0.14
# Min/Max residuals: -0.47 0.47
# Exact a, adot, b, bdot, g, gdot:
3.253643E-05 2.435589E-01 -7.538521E-06 -5.162064E-02 1.168251E-01 2.879099E-03
# Covariance matrix:
8.7373E-13 -8.8982E-11 -5.7563E-14 3.7162E-12 -1.0230E-11 3.3684E-11
-8.8982E-11 7.8187E-08 4.3204E-11 -4.1578E-09 6.7439E-09 -3.3450E-08
-5.7563E-14 4.3204E-11 7.7702E-13 -5.7969E-12 4.6686E-12 -1.8176E-11
3.7162E-12 -4.1578E-09 -5.7969E-12 5.0951E-09 -2.7581E-10 2.1270E-09
-1.0230E-11 6.7439E-09 4.6686E-12 -2.7581E-10 8.4715E-10 -2.5791E-09
3.3684E-11 -3.3450E-08 -1.8176E-11 2.1270E-09 -2.5791E-09 1.6327E-08
# lat0 lon0 xBary yBary zBary JD0
2.936111 28.094850 0.962010 0.016707 -0.325087 2456514.012218
# Heliocentric elements and errors
Epoch: 2456514.5000 = 2013/08/10
Mean Anomaly: 292.57715 +/- 0.000
Argument of Peri: 244.70437 +/- 0.003
Long of Asc Node: 215.24394 +/- 0.003
Inclination: 12.03453 +/- 0.000
Eccentricity: 0.09848790 +/- 0.0000
Semi-Major Axis: 9.20526460 +/- 0.0000
Time of Perihelion: 2458425.0457 +/- 0.0
Perihelion: 8.29865743 +/- 0.0000
Aphelion: 10.11187176 +/- 0.0000
Period (y) 27.9295 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 8.28125821 +/- 0.0000
Ecliptic Y 3.33318787 +/- 0.0000
Ecliptic Z 0.43842867 +/- 0.0000
Ecliptic XDOT -0.00258015 +/- 0.0000
Ecliptic YDOT 0.00509538 +/- 0.0000
Ecliptic ZDOT -0.00120457 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 8.93767736 +/- 0.0000
Geocenter to KBO 8.55981983 +/- 0.0000
# Hcoef: 13.55
The following table shows the complete astrometric record for 13VZ70. 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 (13VZ70) followed by the observatory code and reference code for the source of the astrometry.
2013 08 09.51144 01 40 03.944 +13 32 13.77 23.4r 13VZ70 568 C~4yRX 2013 08 09.55415 01 40 03.944 +13 32 13.38 23.6r 13VZ70 568 C~4yRX 2013 09 02.42113 01 38 16.673 +13 17 05.21 23.3r 13VZ70 568 C~4yRX 2013 09 02.46447 01 38 16.252 +13 17 02.41 23.3r 13VZ70 568 C~4yRX 2013 09 03.44044 01 38 07.137 +13 15 55.00 23.3r 13VZ70 568 C~4yRX 2013 09 03.48706 01 38 06.670 +13 15 51.73 23.5r 13VZ70 568 C~4yRX 2013 10 09.45622 01 29 20.124 +12 11 43.56 22.8r 13VZ70 568 C~4yRX 2013 10 29.45275 01 23 18.741 +11 25 00.98 23.4r 13VZ70 568 C~4yRX 2013 10 30.36505 01 23 02.956 +11 22 52.60 22.3r 13VZ70 568 C~4yRX 2013 10 31.35588 01 22 45.879 +11 20 33.64 22.6r 13VZ70 568 C~4yRX 2013 11 01.30170 01 22 29.723 +11 18 21.23 23.1r 13VZ70 568 C~4yRX 2013 11 01.34074 01 22 29.050 +11 18 15.71 23.3r 13VZ70 568 C~4yRX 2013 11 01.42897 01 22 27.500 +11 18 03.49 23.4r 13VZ70 568 C~4yRX 2013 11 27.38173 01 16 27.907 +10 24 02.05 23.4r 13VZ70 568 C~4yRX 2013 12 04.36265 01 15 28.349 +10 12 49.50 23.4r 13VZ70 568 C~4yRX 2014 10 23.50622 02 29 22.602 +13 56 10.74 23.2r 13VZ70 568 C~4yRX 2014 10 23.53747 02 29 22.013 +13 56 06.71 22.9r 13VZ70 568 C~4yRX 2015 10 09.41425 03 40 43.141 +15 34 55.20 22.7w 13VZ70 568 C~4yRX 2015 10 09.45766 03 40 42.601 +15 34 51.17 22.7w 13VZ70 568 C~4yRX 2015 12 07.46602 03 22 49.668 +13 53 09.06 22.5w 13VZ70 568 C~4yRX 2015 12 16.29737 03 20 22.260 +13 41 21.31 22.9w 13VZ70 568 C~4yRY 2015 12 17.28414 03 20 07.228 +13 40 10.27 23.0w 13VZ70 568 C~4yRY 2015 12 17.35030 03 20 06.174 +13 40 05.55 23.8w 13VZ70 568 C~4yRY 2015 12 17.35619 03 20 06.097 +13 40 05.10 23.0w 13VZ70 568 C~4yRY 2015 12 17.35914 03 20 06.075 +13 40 04.95 23.0w 13VZ70 568 C~4yRY 2015 12 17.36205 03 20 06.011 +13 40 04.74 23.1w 13VZ70 568 C~4yRY 2015 12 17.36500 03 20 06.007 +13 40 04.12 23.7w 13VZ70 568 C~4yRY 2015 12 17.36798 03 20 05.925 +13 40 04.08 23.3w 13VZ70 568 C~4yRY 2015 12 31.31687 03 17 11.545 +13 26 42.62 22.8w 13VZ70 568 C~4yRY 2016 01 07.28839 03 16 14.038 +13 22 30.87 22.7w 13VZ70 568 C~4yRY 2016 03 11.23256 03 24 48.093 +13 57 52.42 23.4w 13VZ70 568 C~4yRY 2016 03 11.23746 03 24 48.198 +13 57 52.89 23.4w 13VZ70 568 C~4yRY 2016 03 11.25422 03 24 48.543 +13 57 54.20 23.3w 13VZ70 568 C~4yRY 2016 03 12.23546 03 25 09.788 +13 59 13.67 22.9w 13VZ70 568 C~4yRY 2016 03 12.23777 03 25 09.855 +13 59 13.78 23.1w 13VZ70 568 C~4yRY 2016 03 12.25853 03 25 10.296 +13 59 15.41 23.2w 13VZ70 568 C~4yRY 2018 01 19.339158 05 31 10.20 +12 43 33.9 13VZ70 568 C~55OH 2018 01 19.340335 05 31 10.18 +12 43 33.9 13VZ70 568 C~55OH 2018 01 19.341519 05 31 10.17 +12 43 34.0 13VZ70 568 C~55OH 2018 01 19.342693 05 31 10.15 +12 43 34.0 13VZ70 568 C~55OH 2018 01 19.343869 05 31 10.13 +12 43 34.0 13VZ70 568 C~55OH 2020 02 03.243507 07 48 09.13 +07 21 25.4 13VZ70 W84 C~55OH 2020 02 03.244213 07 48 09.11 +07 21 25.4 13VZ70 W84 C~55OH
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 0.04 0.00 0.14
2 0.0001 0.00 0.04 0.00 0.06
3 0.0655 0.00 0.17 0.00 -0.02
4 0.0656 0.00 0.03 0.00 0.08
5 0.0683 0.00 0.04 0.00 0.01
6 0.0684 0.00 -0.03 0.00 -0.02
7 0.1669 0.00 0.07 0.00 -0.01
8 0.2216 0.00 -0.34 0.00 -0.06
9 0.2241 0.00 0.09 0.00 -0.04
10 0.2268 0.00 0.13 0.00 0.07
11 0.2294 0.00 -0.04 0.00 -0.02
12 0.2295 0.00 0.08 0.00 -0.11
13 0.2298 0.00 -0.08 0.00 -0.01
14 0.3008 0.00 -0.10 0.00 -0.01
15 0.3199 0.00 -0.03 0.00 -0.02
16 1.2046 0.00 -0.08 0.00 0.10
17 1.2047 0.00 0.11 0.00 0.07
18 2.1654 0.00 -0.02 0.00 0.02
19 2.1655 0.00 0.01 0.00 0.01
20 2.3270 0.00 -0.25 0.00 0.14
21 2.3512 0.00 -0.01 0.00 0.06
22 2.3539 0.00 -0.04 0.00 -0.05
23 2.3541 0.00 -0.45 0.00 -0.09
24 2.3541 0.00 -0.23 0.00 -0.12
25 2.3541 0.00 0.12 0.00 -0.06
26 2.3541 0.00 -0.16 0.00 -0.06
27 2.3542 0.00 0.47 0.00 -0.47
28 2.3542 0.00 -0.07 0.00 -0.30
29 2.3923 0.00 0.09 0.00 0.08
30 2.4114 0.00 -0.09 0.00 0.10
31 2.5865 0.00 0.08 0.00 0.15
32 2.5865 0.00 0.10 0.00 0.23
33 2.5866 0.00 -0.06 0.00 0.21
34 2.5893 0.00 0.04 0.00 0.12
35 2.5893 0.00 0.30 0.00 0.04
36 2.5893 0.00 0.20 0.00 0.01
37 4.4458 0.00 -0.02 0.00 -0.05
38 4.4458 0.00 -0.04 0.00 -0.07
39 4.4458 0.00 0.08 0.00 0.01
40 4.4458 0.00 0.06 0.00 -0.00
41 4.4458 0.00 0.03 0.00 -0.02
42 6.4852 0.00 0.05 0.00 0.09
43 6.4852 0.00 -0.04 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.
13VZ70 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 9.151 9.151 9.151 ecceobj 0.098 0.098 0.098 incobj 12.055 12.055 12.055 qmin 8.251 8.251 7.598 qmax 10.051 10.988 11.133 amean 9.142 9.450 9.580 amin 9.124 9.125 9.123 amax 9.151 10.136 10.051 emean 0.088 0.066 0.098 emin 0.074 0.017 0.014 emax 0.098 0.098 0.171 imean 12.492 12.760 12.377 imin 12.422 12.416 10.985 imax 12.623 13.362 14.031 excite_mean 0.234 0.232 0.239 fracstop 0.000 0.001 0.002 cjmean 4.364 4.282 4.242 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 305.1 249.4 198.2 kozaiamp 56.1 154.2 169.5