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: 10KZ39 # Created Thu Apr 15 01:12:42 2021 # Orbit generated from Bernstein formalism # Fitting 48 observations of 48 # Arc: 4.79y # First observation: 2010/05/21 # Last observation: 2015/03/04 Preliminary a, adot, b, bdot, g, gdot: 0.000013 0.018025 -0.000041 -0.008404 0.021575 0.000000 # Chi-squared of fit: 64.38 DOF: 90 RMS: 0.20 # Min/Max residuals: -0.62 0.55 # Exact a, adot, b, bdot, g, gdot: 1.604810E-05 1.813825E-02 -7.441284E-06 -8.499137E-03 2.202292E-02 -8.601114E-04 # Covariance matrix: 1.0650E-13 -1.1653E-13 -9.0202E-15 1.7794E-14 9.6848E-14 -7.2178E-13 -1.1653E-13 2.0498E-13 1.9582E-14 -3.9212E-14 -1.7793E-13 1.5501E-12 -9.0202E-15 1.9582E-14 6.6347E-14 -3.5315E-14 -6.5338E-15 2.1473E-13 1.7794E-14 -3.9212E-14 -3.5315E-14 3.9158E-14 6.6046E-15 -4.5247E-13 9.6848E-14 -1.7793E-13 -6.5338E-15 6.6046E-15 4.1877E-13 -7.0430E-13 -7.2178E-13 1.5501E-12 2.1473E-13 -4.5247E-13 -7.0430E-13 1.6349E-11 # lat0 lon0 xBary yBary zBary JD0 -7.416964 -111.554313 0.156312 -0.129135 -0.991794 2455337.615016 # Heliocentric elements and errors Epoch: 2455330.5000 = 2010/05/14 Mean Anomaly: 245.21624 +/- 0.110 Argument of Peri: 317.07490 +/- 0.100 Long of Asc Node: 53.19813 +/- 0.000 Inclination: 26.11223 +/- 0.001 Eccentricity: 0.05581178 +/- 0.0002 Semi-Major Axis: 45.23058663 +/- 0.0060 Time of Perihelion: 2490756.7115 +/- 33.3 Perihelion: 42.70618694 +/- 0.0108 Aphelion: 47.75498632 +/- 0.0112 Period (y) 304.1981 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -17.05033250 +/- 0.0005 Ecliptic Y -42.75368136 +/- 0.0012 Ecliptic Z -5.86190649 +/- 0.0002 Ecliptic XDOT 0.00218794 +/- 0.0000 Ecliptic YDOT -0.00059694 +/- 0.0000 Ecliptic ZDOT -0.00103399 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.39992517 +/- 0.0011 Geocenter to KBO 45.40723916 +/- 0.0013 # Hcoef: 4.19
The following table shows the complete astrometric record for 10KZ39. 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 (10KZ39) followed by the observatory code and reference code for the source of the astrometry.
2010 05 21.11425 16 21 30.197 -29 01 56.15 10KZ39 304 C~0I3z 2010 05 21.18206 16 21 29.894 -29 01 55.96 10KZ39 304 C~0I3z 2010 05 23.21814 16 21 19.580 -29 01 46.43 20.2R 10KZ39 304 C~0I3z 2010 05 23.27052 16 21 19.325 -29 01 46.17 10KZ39 304 C~0I3z 2010 05 23.32313 16 21 19.048 -29 01 45.87 10KZ39 304 C~0I3z 2010 06 05.08738 16 20 14.276 -29 00 24.75 10KZ39 304 C~0IRz 2010 06 05.15706 16 20 13.942 -29 00 23.98 10KZ39 304 C~0IRz 2010 06 05.21869 16 20 13.646 -29 00 23.70 10KZ39 304 C~0IRz 2010 06 07.40793 16 20 02.63 -29 00 06.9 20.7r 10KZ39 F51 C~3spe 2010 06 07.42247 16 20 02.56 -29 00 06.7 10KZ39 F51 C~3spe 2010 06 08.62734 16 19 56.540 -28 59 57.28 20.2R 10KZ39 E10 C~0IRz 2010 06 08.64014 16 19 56.475 -28 59 57.12 20.3R 10KZ39 E10 C~0IRz 2010 06 08.65818 16 19 56.393 -28 59 57.02 19.7R 10KZ39 E10 C~0IRz 2010 06 15.50253 16 19 22.83 -28 58 59.8 21.0V 10KZ39 F65 C~0Jas 2010 06 16.34900 16 19 18.77 -28 58 52.4 10KZ39 F51 C~3spe 2010 06 16.35924 16 19 18.72 -28 58 52.2 10KZ39 F51 C~3spe 2010 06 16.40770 16 19 18.46 -28 58 51.6 20.4R 10KZ39 F65 C~0Jas 2011 05 03.16532 16 27 18.670 -29 41 29.72 20.0R 10KZ39 304 C~0WGM 2011 05 03.25269 16 27 18.288 -29 41 29.75 10KZ39 304 C~0WGM 2011 05 03.35027 16 27 17.845 -29 41 29.92 10KZ39 304 C~0WGM 2011 05 12.10452 16 26 36.708 -29 41 23.50 20.1R 10KZ39 304 C~0WGM 2011 05 12.17048 16 26 36.388 -29 41 23.45 10KZ39 304 C~0WGM 2011 05 12.23944 16 26 36.071 -29 41 23.42 10KZ39 304 C~0WGM 2011 05 24.42643 16 25 35.18 -29 40 44.3 20.8r 10KZ39 F51 C~3spe 2011 05 24.44060 16 25 35.10 -29 40 44.3 10KZ39 F51 C~3spe 2011 05 24.45642 16 25 35.02 -29 40 44.2 20.4i 10KZ39 F51 C~3spe 2011 05 24.47193 16 25 34.95 -29 40 44.1 20.8i 10KZ39 F51 C~3spe 2011 05 30.43943 16 25 04.39 -29 40 12.9 20.7r 10KZ39 F51 C~3spe 2011 05 30.45376 16 25 04.32 -29 40 12.8 10KZ39 F51 C~3spe 2012 03 18.21466 16 33 55.14 -30 13 57.5 20.8R 10KZ39 304 C~0ger 2012 03 18.34579 16 33 55.00 -30 13 59.3 10KZ39 304 C~0ger 2012 03 18.41737 16 33 54.92 -30 14 00.3 10KZ39 304 C~0ger 2012 03 19.21843 16 33 54.10 -30 14 11.0 10KZ39 304 C~0ger 2012 03 19.34123 16 33 53.96 -30 14 12.6 10KZ39 304 C~0ger 2012 03 19.41778 16 33 53.86 -30 14 13.6 10KZ39 304 C~0ger 2012 03 20.18933 16 33 52.99 -30 14 23.8 10KZ39 304 C~0ger 2012 03 20.30113 16 33 52.86 -30 14 25.3 10KZ39 304 C~0ger 2012 03 20.35278 16 33 52.79 -30 14 25.9 10KZ39 304 C~0ger 2012 03 20.62407 16 33 52.45 -30 14 29.5 10KZ39 F51 C~3spe 2012 03 20.63495 16 33 52.43 -30 14 29.7 10KZ39 F51 C~3spe 2012 03 20.64687 16 33 52.40 -30 14 29.5 10KZ39 F51 C~3spe 2012 05 12.45704 16 30 55.55 -30 19 46.6 10KZ39 F51 C~3spe 2012 05 12.46680 16 30 55.51 -30 19 46.6 10KZ39 F51 C~3spe 2012 05 12.47767 16 30 55.46 -30 19 46.6 10KZ39 F51 C~3spe 2012 05 21.43215 16 30 10.63 -30 19 26.7 10KZ39 F51 C~3spe 2012 05 21.44231 16 30 10.59 -30 19 26.6 10KZ39 F51 C~3spe 2015 03 04.345048 16 47 21.01 -31 58 56.8 10KZ39 W84 C~3spe 2015 03 04.347121 16 47 21.02 -31 58 56.8 10KZ39 W84 C~3spe
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 -0.62 0.00 0.28
2 0.0002 -3.95 -0.04 -0.48 0.26
3 0.0058 -138.91 -0.26 -13.72 -0.29
4 0.0059 -142.25 -0.07 -14.02 -0.27
5 0.0060 -145.88 -0.16 -14.33 -0.27
6 0.0410 -997.01 -0.34 -77.66 -0.25
7 0.0412 -1001.46 -0.09 -77.65 0.06
8 0.0414 -1005.34 0.19 -78.03 -0.08
9 0.0473 -1150.61 -0.11 -86.04 0.11
10 0.0474 -1151.55 -0.08 -86.00 0.21
11 0.0507 -1230.98 0.02 -90.17 -0.02
12 0.0507 -1231.85 0.01 -90.16 0.04
13 0.0508 -1232.92 0.13 -90.24 0.01
14 0.0695 -1676.61 0.47 -109.16 -0.13
15 0.0718 -1730.36 0.38 -111.01 -0.22
16 0.0719 -1731.04 0.36 -110.93 -0.11
17 0.0720 -1734.51 0.02 -110.92 -0.00
18 0.9502 4879.33 0.23 -1609.30 -0.30
19 0.9504 4874.42 0.46 -1610.10 -0.23
20 0.9507 4868.74 0.55 -1611.16 -0.35
21 0.9746 4337.95 -0.54 -1688.22 0.27
22 0.9748 4333.82 -0.48 -1688.82 0.23
23 0.9750 4329.74 -0.17 -1689.44 0.20
24 1.0084 3539.66 -0.06 -1775.70 0.12
25 1.0084 3538.63 -0.13 -1775.86 0.05
26 1.0085 3537.59 -0.11 -1775.93 0.08
27 1.0085 3536.67 0.02 -1775.98 0.13
28 1.0248 3138.38 0.04 -1808.51 0.08
29 1.0249 3137.46 0.09 -1808.55 0.10
30 1.8264 10270.92 0.15 -2776.22 -0.01
31 1.8268 10269.38 0.12 -2778.25 0.01
32 1.8270 10268.49 0.10 -2779.39 -0.03
33 1.8292 10259.45 0.17 -2791.49 -0.02
34 1.8295 10257.88 0.18 -2793.34 0.05
35 1.8297 10256.73 0.06 -2794.51 0.06
36 1.8318 10246.99 0.05 -2806.21 -0.04
37 1.8321 10245.53 0.15 -2807.93 -0.02
38 1.8323 10244.71 0.08 -2808.65 0.06
39 1.8330 10240.85 -0.04 -2812.84 0.12
40 1.8330 10240.62 -0.11 -2813.08 0.05
41 1.8331 10240.20 -0.34 -2812.93 0.38
42 1.9777 8014.55 -0.13 -3456.39 0.09
43 1.9777 8014.04 -0.02 -3456.47 0.10
44 1.9777 8013.40 0.03 -3456.56 0.09
45 2.0022 7435.53 -0.05 -3522.57 -0.16
46 2.0023 7435.01 0.10 -3522.55 -0.07
47 4.7864 21406.18 -0.14 -7754.39 -0.19
48 4.7864 21406.31 -0.03 -7754.37 -0.14
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.
10KZ39 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.961 44.979 44.943 ecceobj 0.059 0.058 0.059 incobj 26.178 26.177 26.179 qmin 42.111 42.126 42.046 qmax 48.581 48.568 48.593 amean 45.228 45.247 45.210 amin 44.884 44.898 44.870 amax 45.593 45.613 45.586 emean 0.055 0.054 0.055 emin 0.045 0.045 0.046 emax 0.066 0.065 0.066 imean 25.052 25.052 25.053 imin 24.808 24.802 24.804 imax 25.326 25.324 25.315 excite_mean 0.427 0.427 0.427 fracstop 1.000 1.000 1.000 cjmean 2.884 2.884 2.883 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 168.7 168.8 168.0 kozaiamp 180.0 180.0 180.0