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: 13VM46 # Created Sun Dec 22 02:09:51 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 24 observations of 24 # Arc: 7.20y # First observation: 2013/09/02 # Last observation: 2020/11/14 # Chi-squared of fit: 10.23 DOF: 42 RMS: 0.12 # Min/Max residuals: -0.24 0.37 # Exact a, adot, b, bdot, g, gdot: 2.001432E-05 4.301689E-02 -4.645825E-06 -6.310195E-03 3.252140E-02 -5.152028E-04 # Covariance matrix: 5.0975E-13 -1.5370E-13 -1.7523E-14 1.7081E-14 2.4424E-13 -4.1630E-13 -1.5370E-13 9.8665E-14 1.3374E-14 -1.3629E-14 -2.7747E-14 3.3187E-13 -1.7523E-14 1.3374E-14 1.9150E-13 -4.6258E-14 -4.4224E-15 5.3090E-14 1.7081E-14 -1.3629E-14 -4.6258E-14 1.7285E-14 3.5949E-15 -5.4182E-14 2.4424E-13 -2.7747E-14 -4.4224E-15 3.5949E-15 2.5381E-13 -8.7961E-14 -4.1630E-13 3.3187E-13 5.3090E-14 -5.4182E-14 -8.7961E-14 1.3193E-12 # lat0 lon0 xBary yBary zBary JD0 -1.974413 8.820438 0.492351 -0.030301 -0.881439 2456537.776398 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 358.03871 +/- 0.002 Argument of Peri: 198.45365 +/- 0.005 Long of Asc Node: 175.12203 +/- 0.000 Inclination: 8.59399 +/- 0.000 Eccentricity: 0.43315278 +/- 0.0001 Semi-Major Axis: 55.72986609 +/- 0.0079 Time of Perihelion: 2457366.3849 +/- 32.1 Perihelion: 31.59031958 +/- 0.0060 Aphelion: 79.86941260 +/- 0.0120 Period (y) 416.0449 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.31398220 +/- 0.0005 Ecliptic Y 4.36399548 +/- 0.0001 Ecliptic Z -1.05955257 +/- 0.0000 Ecliptic XDOT -0.00062241 +/- 0.0000 Ecliptic YDOT 0.00356805 +/- 0.0000 Ecliptic ZDOT -0.00052928 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.63437651 +/- 0.0005 Geocenter to KBO 30.74902289 +/- 0.0005 # Hcoef: 8.46
The following table shows the complete astrometric record for 13VM46. 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 (13VM46) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.27562 00 35 31.302 +01 40 54.35 24.4g 13VM46 W84 C~4yRU 2013 11 08.17535 00 29 51.52 +01 00 37.1 23.3r 13VM46 W84 C~3clY 2013 11 08.17673 00 29 51.521 +01 00 37.05 23.1i 13VM46 W84 C~4yRU 2013 11 22.08391 00 29 04.225 +00 55 23.07 23.8g 13VM46 W84 C~4yRU 2013 11 22.09533 00 29 04.192 +00 55 23.02 23.8r 13VM46 W84 C~4yRU 2013 11 22.09673 00 29 04.199 +00 55 23.04 22.9i 13VM46 W84 C~4yRU 2014 11 13.07078 00 39 09.222 +01 36 38.82 23.5r 13VM46 W84 C~4yRU 2016 09 01.36604 01 04 30.091 +03 34 39.66 23.2r 13VM46 W84 C~4yRU 2016 09 01.36741 01 04 30.096 +03 34 39.47 24.4g 13VM46 W84 C~4yRU 2016 11 05.16584 00 58 56.928 +02 55 37.44 23.5r 13VM46 W84 C~4yRU 2016 11 05.16722 00 58 56.918 +02 55 37.47 23.3i 13VM46 W84 C~4yRU 2016 11 05.16861 00 58 56.911 +02 55 37.42 23.6g 13VM46 W84 C~4yRU 2016 11 06.16691 00 58 52.191 +02 55 07.58 22.7z 13VM46 W84 C~4yRU 2016 11 06.16827 00 58 52.194 +02 55 07.36 23.7r 13VM46 W84 C~4yRU 2016 11 06.16964 00 58 52.187 +02 55 07.40 23.2i 13VM46 W84 C~4yRU 2016 11 06.17102 00 58 52.189 +02 55 07.45 24.4g 13VM46 W84 C~4yRU 2016 11 18.09231 00 58 01.019 +02 49 50.34 23.4r 13VM46 W84 C~4yRU 2017 08 28.28950 01 14 23.901 +04 13 51.38 23.0r 13VM46 W84 C~4yRU 2017 08 28.29088 01 14 23.893 +04 13 51.43 23.6i 13VM46 W84 C~4yRU 2017 09 14.32092 01 13 13.721 +04 04 30.95 23.3z 13VM46 W84 C~4yRU 2017 09 27.24045 01 12 08.476 +03 56 32.44 22.7z 13VM46 W84 C~4yRU 2018 10 18.20313 01 19 55.432 +04 20 25.52 22.9z 13VM46 W84 C~4yRU 2020 11 14.113040 01 36 47.684 +05 17 45.97 23.7G 13VM46 G37 C~4NlI 2020 11 14.169960 01 36 47.425 +05 17 44.43 13VM46 G37 C~4NlI
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 0.37
2 0.1832 0.00 -0.01 0.00 -0.02
3 0.1832 0.00 0.09 0.00 -0.03
4 0.2212 0.00 -0.11 0.00 -0.24
5 0.2213 0.00 -0.11 0.00 -0.09
6 0.2213 0.00 0.05 0.00 -0.04
7 1.1959 0.00 0.06 0.00 -0.00
8 2.9982 0.00 -0.10 0.00 0.06
9 2.9982 0.00 0.06 0.00 -0.09
10 3.1756 0.00 -0.07 0.00 -0.04
11 3.1756 0.00 -0.12 0.00 0.03
12 3.1756 0.00 -0.12 0.00 0.02
13 3.1783 0.00 -0.02 0.00 0.12
14 3.1784 0.00 0.13 0.00 -0.06
15 3.1784 0.00 0.12 0.00 0.02
16 3.1784 0.00 0.25 0.00 0.11
17 3.2110 0.00 0.13 0.00 -0.09
18 3.9863 0.00 0.01 0.00 -0.12
19 3.9864 0.00 -0.04 0.00 -0.03
20 4.0330 0.00 -0.04 0.00 0.04
21 4.0684 0.00 0.02 0.00 0.08
22 5.1251 0.00 -0.23 0.00 0.13
23 7.2001 0.00 -0.12 0.00 -0.04
24 7.2003 0.00 0.24 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.
13VM46 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 56.207 56.207 56.208 ecceobj 0.438 0.438 0.438 incobj 8.574 8.574 8.574 qmin 31.101 31.104 31.102 qmax 81.451 81.387 81.442 amean 55.462 55.463 55.463 amin 54.594 54.593 54.588 amax 56.573 56.528 56.532 emean 0.428 0.428 0.428 emin 0.416 0.416 0.417 emax 0.440 0.440 0.441 imean 8.398 8.400 8.400 imin 8.075 8.075 8.075 imax 8.773 8.774 8.777 excite_mean 0.452 0.452 0.452 fracstop 1.000 1.000 1.000 cjmean 2.969 2.969 2.969 libcent 0 180.5 180.3 179.4 libamp 0 127.1 128.2 128.2 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 192.5 192.2 193.4 kozaiamp 179.9 179.9 180.0