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: 10VE21 # Created Fri Nov 22 02:09:10 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 31 observations of 31 # Arc: 13.49y # First observation: 2007/08/11 # Last observation: 2021/02/05 # Chi-squared of fit: 64.47 DOF: 56 RMS: 0.25 # Min/Max residuals: -0.85 1.06 # Exact a, adot, b, bdot, g, gdot: 3.823915E-05 3.454858E-01 -9.114266E-06 -8.855940E-02 1.429217E-01 -5.589430E-03 # Covariance matrix: 2.4017E-10 -5.3477E-08 -9.6852E-11 1.4003E-08 -6.4444E-09 -7.3300E-08 -5.3477E-08 1.2024E-05 2.1690E-08 -3.1496E-06 1.4431E-06 1.6487E-05 -9.6852E-11 2.1690E-08 4.0754E-11 -5.6809E-09 2.6147E-09 2.9730E-08 1.4003E-08 -3.1496E-06 -5.6809E-09 8.2692E-07 -3.7785E-07 -4.3192E-06 -6.4444E-09 1.4431E-06 2.6147E-09 -3.7785E-07 1.7398E-07 1.9780E-06 -7.3300E-08 1.6487E-05 2.9730E-08 -4.3192E-06 1.9780E-06 2.2609E-05 # lat0 lon0 xBary yBary zBary JD0 36.447887 -13.248051 0.479128 0.529101 -0.716317 2454323.872053 # Heliocentric elements and errors Epoch: 2454324.5000 = 2007/08/12 Mean Anomaly: 348.94023 +/- 0.009 Argument of Peri: 126.41185 +/- 0.000 Long of Asc Node: 230.59682 +/- 0.000 Inclination: 34.42712 +/- 0.000 Eccentricity: 0.22961661 +/- 0.0000 Semi-Major Axis: 9.96290612 +/- 0.0000 Time of Perihelion: 2454677.3750 +/- 0.3 Perihelion: 7.67525743 +/- 0.0003 Aphelion: 12.25055480 +/- 0.0003 Period (y) 31.4476 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 6.23453516 +/- 0.0000 Ecliptic Y -1.96479147 +/- 0.0000 Ecliptic Z 4.15674518 +/- 0.0000 Ecliptic XDOT 0.00242016 +/- 0.0000 Ecliptic YDOT 0.00622897 +/- 0.0000 Ecliptic ZDOT -0.00142835 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 7.74652242 +/- 0.0000 Geocenter to KBO 6.99687244 +/- 0.0000 # Hcoef: 12.50
The following table shows the complete astrometric record for 10VE21. 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 (10VE21) followed by the observatory code and reference code for the source of the astrometry.
2007 08 11.371299 22 10 29.78 +28 08 50.6 21.3r 10VE21 T14 C~6o9E 2007 09 07.300412 22 01 21.20 +27 21 09.4 21.2r 10VE21 T14 C~6o9E 2007 09 07.341919 22 01 20.37 +27 21 02.1 21.1r 10VE21 T14 C~6o9E 2009 01 18.110747 23 37 01.25 +22 07 04.6 21.7r 10VE21 645 C~6o9E 2009 01 18.111576 23 37 01.27 +22 07 04.3 21.7i 10VE21 645 C~6o9E 2009 01 18.114064 23 37 01.36 +22 07 04.4 10VE21 645 C~6o9E 2010 10 07.62031 02 29 36.46 +23 52 20.0 21.7r 10VE21 F51 C~4qED 2010 10 07.62849 02 29 36.32 +23 52 18.9 21.6r 10VE21 F51 C~4qED 2010 10 09.55851 02 29 01.19 +23 47 05.4 22.0g 10VE21 F51 C~4qED 2010 10 09.57062 02 29 00.94 +23 47 03.2 10VE21 F51 C~4qED 2010 10 15.55538 02 27 06.10 +23 29 47.5 21.3i 10VE21 F51 C~4qED 2010 10 15.56701 02 27 05.87 +23 29 45.3 21.3i 10VE21 F51 C~4qED 2010 11 03.44554 02 20 33.04 +22 26 37.3 21.7w 10VE21 F51 C~0Ot2 2010 11 03.45830 02 20 32.76 +22 26 34.3 21.9w 10VE21 F51 C~0Ot2 2010 11 03.47113 02 20 32.48 +22 26 31.7 21.7w 10VE21 F51 C~0Ot2 2010 11 03.48377 02 20 32.23 +22 26 28.9 21.7w 10VE21 F51 C~0Ot2 2010 11 04.37708 02 20 13.42 +22 23 14.4 20.8R 10VE21 H01 C~0Ot2 2010 11 04.38319 02 20 13.31 +22 23 13.2 20.6R 10VE21 H01 C~0Ot2 2010 11 04.39202 02 20 13.09 +22 23 11.5 20.7R 10VE21 H01 C~0Ot2 2010 11 04.40488 02 20 12.82 +22 23 08.4 21.1R 10VE21 H01 C~0Ot2 2010 11 06.34451 02 19 32.25 +22 16 04.4 21.7V 10VE21 291 C~0X1R 2010 11 06.35263 02 19 32.05 +22 16 02.6 21.5V 10VE21 291 C~0X1R 2010 11 06.36123 02 19 31.90 +22 16 00.5 10VE21 291 C~0X1R 2010 11 13.096502 02 17 14.66 +21 51 02.3 10VE21 I41 C~4qED 2010 11 13.184911 02 17 12.89 +21 50 41.8 10VE21 I41 C~4qED 2015 03 04.111889 05 50 56.23 -02 22 52.6 10VE21 W84 C~6o9E 2015 03 04.113601 05 50 56.22 -02 22 52.3 10VE21 W84 C~6o9E 2015 03 04.115309 05 50 56.23 -02 22 52.2 10VE21 W84 C~6o9E 2015 03 04.117016 05 50 56.22 -02 22 52.0 10VE21 W84 C~6o9E 2019 02 16.064612 08 28 49.25 -19 37 17.7 10VE21 W84 C~6o9E 2021 02 05.076453 09 43 49.56 -24 55 35.6 10VE21 W84 C~6o9E
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 0.07 0.00 -0.13
2 0.0737 0.00 0.02 0.00 -0.13
3 0.0738 0.00 -0.00 0.00 -0.05
4 1.4394 0.00 -0.06 0.00 -0.03
5 1.4394 0.00 -0.12 0.00 -0.28
6 1.4394 0.00 0.14 0.00 -0.03
7 3.1574 0.00 -0.12 0.00 -0.29
8 3.1574 0.00 0.03 0.00 -0.07
9 3.1627 0.00 0.50 0.00 -0.17
10 3.1628 0.00 0.19 0.00 -0.35
11 3.1791 0.00 0.06 0.00 -0.06
12 3.1792 0.00 0.15 0.00 -0.14
13 3.2309 0.00 0.09 0.00 0.03
14 3.2309 0.00 0.02 0.00 -0.20
15 3.2309 0.00 -0.03 0.00 -0.00
16 3.2310 0.00 0.30 0.00 -0.05
17 3.2334 0.00 0.02 0.00 -0.16
18 3.2334 0.00 0.33 0.00 -0.02
19 3.2335 0.00 -0.14 0.00 0.22
20 3.2335 0.00 -0.08 0.00 -0.06
21 3.2388 0.00 -0.44 0.00 0.34
22 3.2388 0.00 -0.85 0.00 0.33
23 3.2388 0.00 -0.35 0.00 0.13
24 3.2573 0.00 0.13 0.00 1.06
25 3.2575 0.00 0.32 0.00 0.25
26 7.5612 0.00 -0.01 0.00 -0.24
27 7.5612 0.00 -0.16 0.00 -0.12
28 7.5612 0.00 -0.01 0.00 -0.20
29 7.5612 0.00 -0.16 0.00 -0.18
30 11.5173 0.00 -0.09 0.00 -0.02
31 13.4886 0.00 0.13 0.00 0.25
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.
10VE21 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 9.915 9.915 9.915 ecceobj 0.229 0.229 0.229 incobj 34.485 34.485 34.485 qmin 5.169 6.680 5.104 qmax 16.523 13.348 21.257 amean 10.109 10.011 10.999 amin 9.157 9.915 7.194 amax 11.147 10.099 13.428 emean 0.352 0.279 0.424 emin 0.229 0.229 0.229 emax 0.511 0.333 0.583 imean 31.467 33.151 29.360 imin 27.402 30.919 25.205 imax 35.367 35.367 35.367 excite_mean 0.634 0.615 0.653 fracstop 0.006 0.001 0.009 cjmean 3.906 3.941 3.736 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 115.3 122.1 220.6 kozaiamp 73.3 7.0 167.2