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: 13VP46 # Created Sun Dec 22 02:09:51 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 29 observations of 29 # Arc: 8.98y # First observation: 2013/11/05 # Last observation: 2022/10/29 # Chi-squared of fit: 53.51 DOF: 52 RMS: 0.24 # Min/Max residuals: -0.84 0.76 # Exact a, adot, b, bdot, g, gdot: 1.790314E-05 3.192485E-02 1.897688E-06 2.737154E-03 2.803451E-02 4.278543E-03 # Covariance matrix: 1.0542E-13 -5.0926E-14 1.5288E-15 -3.1996E-15 9.5865E-15 -1.4185E-13 -5.0926E-14 7.4850E-14 -4.1650E-15 5.9160E-15 4.1803E-14 2.6062E-13 1.5288E-15 -4.1650E-15 8.2447E-14 -1.3822E-14 -1.0789E-14 -1.5974E-14 -3.1996E-15 5.9160E-15 -1.3822E-14 6.7877E-15 3.9726E-15 2.2491E-14 9.5865E-15 4.1803E-14 -1.0789E-14 3.9726E-15 3.8359E-13 1.6513E-13 -1.4185E-13 2.6062E-13 -1.5974E-14 2.2491E-14 1.6513E-13 9.9064E-13 # lat0 lon0 xBary yBary zBary JD0 -12.873813 35.990909 -0.112767 -0.219109 -0.959282 2456601.614428 # Heliocentric elements and errors Epoch: 2456602.5000 = 2013/11/06 Mean Anomaly: 21.56145 +/- 0.007 Argument of Peri: 253.26582 +/- 0.010 Long of Asc Node: 104.72654 +/- 0.001 Inclination: 13.43028 +/- 0.000 Eccentricity: 0.26858193 +/- 0.0001 Semi-Major Axis: 47.87462889 +/- 0.0059 Time of Perihelion: 2449355.9377 +/- 2.6 Perihelion: 35.01636848 +/- 0.0055 Aphelion: 60.73288930 +/- 0.0082 Period (y) 331.2580 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.86462998 +/- 0.0006 Ecliptic Y 21.10739953 +/- 0.0005 Ecliptic Z -7.94749153 +/- 0.0002 Ecliptic XDOT -0.00146058 +/- 0.0000 Ecliptic YDOT 0.00279533 +/- 0.0000 Ecliptic ZDOT 0.00016764 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.63120847 +/- 0.0006 Geocenter to KBO 35.67027547 +/- 0.0008 # Hcoef: 7.62
The following table shows the complete astrometric record for 13VP46. 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 (13VP46) followed by the observatory code and reference code for the source of the astrometry.
2013 11 05.11365 02 31 38.13 +01 20 39.7 23.2 13VP46 W84 C~5i2v 2013 11 05.20710 02 31 37.62 +01 20 38.0 23.2 13VP46 W84 C~5i2v 2013 11 05.26284 02 31 37.33 +01 20 36.4 23.2 13VP46 W84 C~5i2v 2013 11 08.24029 02 31 21.776 +01 19 32.88 23.8g 13VP46 W84 C~4yRU 2013 11 08.24166 02 31 21.76 +01 19 33.1 23.2r 13VP46 W84 C~3clY 2013 11 08.25815 02 31 21.673 +01 19 32.95 22.9i 13VP46 W84 C~4yRU 2013 11 13.13651 02 30 56.466 +01 17 57.81 22.8z 13VP46 W84 C~4yRU 2013 12 01.18708 02 29 29.374 +01 13 58.42 23.7g 13VP46 W84 C~4yRU 2013 12 01.18848 02 29 29.371 +01 13 58.43 23.8r 13VP46 W84 C~4yRU 2013 12 01.19420 02 29 29.372 +01 13 58.34 24.0g 13VP46 W84 C~4yRU 2013 12 01.19557 02 29 29.336 +01 13 58.66 23.5r 13VP46 W84 C~4yRU 2013 12 01.19696 02 29 29.325 +01 13 58.33 23.4i 13VP46 W84 C~4yRU 2014 09 24.30049 02 41 38.188 +02 23 52.48 23.3r 13VP46 W84 C~4yRU 2014 09 24.30187 02 41 38.193 +02 23 52.11 23.7g 13VP46 W84 C~4yRU 2014 09 30.31171 02 41 15.077 +02 20 53.99 22.9i 13VP46 W84 C~4yRU 2014 10 21.24363 02 39 38.659 +02 10 51.50 23.1r 13VP46 W84 C~4yRU 2014 10 21.30581 02 39 38.339 +02 10 49.86 23.3i 13VP46 W84 C~4yRU 2015 11 22.12727 02 43 33.566 +02 42 59.62 22.1z 13VP46 W84 C~4yRU 2015 12 15.16239 02 41 50.910 +02 39 57.68 23.7r 13VP46 W84 C~4yRU 2015 12 15.16376 02 41 50.886 +02 39 57.65 23.3i 13VP46 W84 C~4yRU 2016 10 26.22477 02 52 23.947 +03 34 40.57 23.7r 13VP46 W84 C~4yRU 2017 10 26.29745 02 58 56.184 +04 16 57.19 24.1g 13VP46 W84 C~4yRU 2017 12 11.13540 02 55 07.554 +04 04 53.17 23.9g 13VP46 W84 C~4yRU 2018 01 05.05847 02 53 45.558 +04 06 06.45 23.5r 13VP46 W84 C~4yRU 2020 11 14.268120 03 16 32.991 +06 13 09.66 23.1G 13VP46 G37 C~4NlI 2020 11 14.353610 03 16 32.537 +06 13 09.36 13VP46 G37 C~4NlI 2022 10 29.384550 03 30 34.730 +07 37 11.18 23.6G 13VP46 G37 C~5z0p 2022 10 29.432620 03 30 34.473 +07 37 10.42 13VP46 G37 C~5z0p 2022 10 29.481040 03 30 34.278 +07 37 08.27 13VP46 G37 C~5z0p
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 -0.06
2 0.0003 0.00 -0.14 0.00 0.29
3 0.0004 0.00 -0.04 0.00 -0.08
4 0.0086 0.00 0.03 0.00 -0.27
5 0.0086 0.00 -0.10 0.00 -0.02
6 0.0086 0.00 -0.10 0.00 0.17
7 0.0220 0.00 0.13 0.00 -0.25
8 0.0714 0.00 -0.10 0.00 -0.10
9 0.0714 0.00 -0.05 0.00 -0.08
10 0.0714 0.00 0.35 0.00 -0.13
11 0.0714 0.00 -0.10 0.00 0.20
12 0.0714 0.00 -0.17 0.00 -0.11
13 0.8848 0.00 -0.08 0.00 0.06
14 0.8848 0.00 0.07 0.00 -0.27
15 0.9013 0.00 0.03 0.00 0.03
16 0.9586 0.00 0.09 0.00 0.03
17 0.9588 0.00 0.08 0.00 0.07
18 2.0452 0.00 0.18 0.00 0.05
19 2.1083 0.00 0.23 0.00 0.06
20 2.1083 0.00 -0.06 0.00 0.03
21 2.9736 0.00 -0.01 0.00 0.35
22 3.9731 0.00 -0.19 0.00 0.16
23 4.0986 0.00 0.08 0.00 0.10
24 4.1669 0.00 0.07 0.00 0.04
25 7.0257 0.00 -0.44 0.00 -0.45
26 7.0260 0.00 -0.42 0.00 0.76
27 8.9809 0.00 0.15 0.00 0.02
28 8.9810 0.00 -0.12 0.00 0.28
29 8.9812 0.00 0.56 0.00 -0.84
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.
13VP46 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.250 48.250 48.250 ecceobj 0.275 0.275 0.275 incobj 13.438 13.438 13.438 qmin 33.996 33.996 33.996 qmax 62.069 62.068 62.071 amean 47.798 47.798 47.798 amin 47.348 47.348 47.348 amax 48.353 48.352 48.353 emean 0.262 0.262 0.262 emin 0.241 0.241 0.241 emax 0.286 0.286 0.286 imean 12.541 12.541 12.541 imin 11.572 11.573 11.572 imax 13.670 13.670 13.670 excite_mean 0.340 0.340 0.340 fracstop 1.000 1.000 1.000 cjmean 3.004 3.004 3.004 libcent 0 73.9 73.9 73.9 libamp 0 13.4 13.4 13.4 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 178.7 178.7 178.8 kozaiamp 180.0 180.0 180.0