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: 21CK46 # Created Sat Feb 22 02:11:24 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 25 observations of 25 # Arc: 11.87y # First observation: 2013/03/10 # Last observation: 2025/01/22 # Chi-squared of fit: 5.33 DOF: 44 RMS: 0.08 # Min/Max residuals: -0.16 0.27 # Exact a, adot, b, bdot, g, gdot: 1.514066E-05 2.102489E-02 5.239768E-06 7.787537E-03 2.229006E-02 -9.031944E-03 # Covariance matrix: 4.1242E-13 -1.0481E-13 6.4426E-14 -2.8036E-14 -1.6232E-14 -2.4228E-13 -1.0481E-13 4.1504E-14 -2.9983E-14 1.2774E-14 -2.4481E-14 1.1104E-13 6.4426E-14 -2.9983E-14 2.5522E-13 -3.5724E-14 1.1682E-14 -8.8898E-14 -2.8036E-14 1.2774E-14 -3.5724E-14 7.9808E-15 -2.3698E-15 3.8265E-14 -1.6232E-14 -2.4481E-14 1.1682E-14 -2.3698E-15 3.1517E-13 -2.6875E-14 -2.4228E-13 1.1104E-13 -8.8898E-14 3.8265E-14 -2.6875E-14 3.3167E-13 # lat0 lon0 xBary yBary zBary JD0 -10.011444 104.050802 -0.904722 -0.071315 -0.404490 2456361.589553 # Heliocentric elements and errors Epoch: 2456362.5000 = 2013/03/11 Mean Anomaly: 335.78211 +/- 0.007 Argument of Peri: 41.13170 +/- 0.009 Long of Asc Node: 130.09637 +/- 0.000 Inclination: 22.56530 +/- 0.000 Eccentricity: 0.48425506 +/- 0.0001 Semi-Major Axis: 69.97115134 +/- 0.0130 Time of Perihelion: 2470744.2197 +/- 55.9 Perihelion: 36.08726730 +/- 0.0082 Aphelion: 103.85503538 +/- 0.0199 Period (y) 585.3111 +/- 0.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -11.70327291 +/- 0.0003 Ecliptic Y 43.03928605 +/- 0.0011 Ecliptic Z -7.79901879 +/- 0.0002 Ecliptic XDOT -0.00228658 +/- 0.0000 Ecliptic YDOT -0.00152480 +/- 0.0000 Ecliptic ZDOT 0.00113496 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.27909107 +/- 0.0010 Geocenter to KBO 44.86337846 +/- 0.0011 # Hcoef: 5.75
The following table shows the complete astrometric record for 21CK46. 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 (21CK46) followed by the observatory code and reference code for the source of the astrometry.
2013 03 10.088775 06 56 45.32 +12 44 18.4 21CK46 W84 C~6VLf 2013 03 10.090841 06 56 45.32 +12 44 18.4 21CK46 W84 C~6VLf 2015 03 09.117927 07 07 13.48 +13 22 42.3 21CK46 W84 C~6VLf 2015 03 09.119991 07 07 13.47 +13 22 42.3 21CK46 W84 C~6VLf 2015 03 09.122049 07 07 13.46 +13 22 42.3 21CK46 W84 C~6VLf 2016 03 05.116410 07 12 42.35 +13 41 00.7 21CK46 W84 C~6VLf 2016 03 05.118477 07 12 42.34 +13 41 00.7 21CK46 W84 C~6VLf 2019 01 11.188222 07 33 07.06 +14 21 28.3 21CK46 W84 C~6VLf 2019 01 13.181779 07 32 57.36 +14 22 00.9 21CK46 W84 C~6VLf 2019 02 06.191839 07 31 05.24 +14 29 19.3 21CK46 W84 C~6VLf 2019 12 09.330556 07 41 28.01 +14 32 46.5 21.6i 21CK46 W84 C~6VLf 2019 12 09.332280 07 41 28.00 +14 32 46.5 21.5i 21CK46 W84 C~6VLf 2019 12 31.257759 07 39 54.21 +14 37 01.2 22.2V 21CK46 W84 C~6VLf 2020 03 09.131485 07 35 07.90 +14 58 29.8 21.8i 21CK46 W84 C~6VLf 2021 02 15.28351 07 42 15.166 +15 09 47.31 22.8R 21CK46 568 C~6VLf 2021 02 16.29780 07 42 11.148 +15 10 07.94 22.7R 21CK46 568 C~6VLf 2021 03 01.083404 07 41 26.11 +15 14 26.6 21.7i 21CK46 W84 C~6VLf 2021 03 05.079577 07 41 14.43 +15 15 44.8 21.6i 21CK46 W84 C~6VLf 2024 02 11.474610 08 01 14.812 +16 01 54.50 21.9w 21CK46 F52 C~7n9Z 2024 02 11.487631 08 01 14.745 +16 01 55.06 21.9w 21CK46 F52 C~7n9Z 2024 02 11.500642 08 01 14.706 +16 01 55.49 22.1w 21CK46 F52 C~7n9Z 2025 01 22.359589 08 09 18.609 +16 11 43.73 21.7w 21CK46 F51 C~8ebB 2025 01 22.372780 08 09 18.546 +16 11 43.89 21.8w 21CK46 F51 C~8ebB 2025 01 22.386039 08 09 18.480 +16 11 44.31 21.8w 21CK46 F51 C~8ebB 2025 01 22.399387 08 09 18.415 +16 11 44.52 21.8w 21CK46 F51 C~8ebB
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 0.0000 0.00 0.00 0.00 0.02
3 1.9960 0.00 0.12 0.00 0.02
4 1.9960 0.00 0.02 0.00 -0.02
5 1.9960 0.00 -0.07 0.00 -0.06
6 2.9871 0.00 0.02 0.00 0.00
7 2.9871 0.00 -0.07 0.00 -0.04
8 5.8401 0.00 0.01 0.00 -0.02
9 5.8456 0.00 -0.01 0.00 -0.02
10 5.9113 0.00 -0.11 0.00 -0.02
11 6.7495 0.00 0.07 0.00 -0.01
12 6.7495 0.00 0.02 0.00 -0.02
13 6.8095 0.00 -0.05 0.00 -0.10
14 6.9981 0.00 0.08 0.00 0.14
15 7.9376 0.00 -0.05 0.00 0.04
16 7.9403 0.00 0.06 0.00 -0.12
17 7.9753 0.00 0.11 0.00 0.08
18 7.9863 0.00 -0.04 0.00 0.02
19 10.9251 0.00 -0.02 0.00 -0.16
20 10.9251 0.00 -0.13 0.00 0.12
21 10.9252 0.00 0.18 0.00 0.27
22 11.8721 0.00 -0.09 0.00 0.01
23 11.8721 0.00 -0.03 0.00 -0.12
24 11.8721 0.00 -0.00 0.00 0.01
25 11.8722 0.00 0.05 0.00 -0.08
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.
21CK46 quality flag:3 Type: 7:2EEEEE 7:2EEEEE 7:2EEEEE axisobj 69.692 69.691 69.693 ecceobj 0.481 0.481 0.481 incobj 22.599 22.599 22.599 qmin 35.432 35.432 35.431 qmax 105.165 105.162 105.168 amean 69.408 69.408 69.408 amin 68.529 68.533 68.525 amax 70.665 70.668 70.662 emean 0.451 0.451 0.451 emin 0.403 0.403 0.403 emax 0.490 0.490 0.490 imean 23.548 23.547 23.548 imin 21.020 21.020 21.020 imax 26.431 26.429 26.432 excite_mean 0.603 0.603 0.603 fracstop 1.000 1.000 1.000 cjmean 2.916 2.916 2.916 libcent 0 174.1 174.4 174.0 libamp 0 59.7 59.3 59.8 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 41.7 41.7 41.7 kozaiamp 4.3 4.3 4.3