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: 10MR116
# Created Wed Dec 25 02:09:04 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 79 observations of 79
# Arc: 17.28y
# First observation: 2000/10/02
# Last observation: 2018/01/13
# Chi-squared of fit: 88.81 DOF: 152 RMS: 0.19
# Min/Max residuals: -0.47 0.60
# Exact a, adot, b, bdot, g, gdot:
1.816065E-05 3.060431E-02 5.284913E-06 1.083303E-02 2.698463E-02 1.597232E-03
# Covariance matrix:
1.1970E-13 -2.1874E-14 1.3642E-14 -5.4440E-15 1.1096E-14 -2.8419E-14
-2.1874E-14 6.9811E-15 -5.5534E-15 2.2326E-15 -3.3923E-16 1.1585E-14
1.3642E-14 -5.5534E-15 8.3118E-14 -7.8955E-15 -8.2606E-16 -1.0107E-14
-5.4440E-15 2.2326E-15 -7.8955E-15 1.3727E-15 5.6964E-16 4.0734E-15
1.1096E-14 -3.3923E-16 -8.2606E-16 5.6964E-16 6.0305E-14 1.9510E-15
-2.8419E-14 1.1585E-14 -1.0107E-14 4.0734E-15 1.9510E-15 2.1094E-14
# lat0 lon0 xBary yBary zBary JD0
1.724484 -3.842543 -0.225041 0.028979 -0.968571 2451819.841812
# Heliocentric elements and errors
Epoch: 2451820.5000 = 2000/10/03
Mean Anomaly: 4.05527 +/- 0.001
Argument of Peri: 354.62243 +/- 0.001
Long of Asc Node: 351.76286 +/- 0.000
Inclination: 19.54011 +/- 0.000
Eccentricity: 0.40403873 +/- 0.0000
Semi-Major Axis: 63.51479279 +/- 0.0047
Time of Perihelion: 2449737.7925 +/- 0.4
Perihelion: 37.85235631 +/- 0.0037
Aphelion: 89.17722927 +/- 0.0070
Period (y) 506.1981 +/- 0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 37.94537054 +/- 0.0003
Ecliptic Y -2.31753250 +/- 0.0000
Ecliptic Z 1.11541126 +/- 0.0000
Ecliptic XDOT 0.00032918 +/- 0.0000
Ecliptic YDOT 0.00309446 +/- 0.0000
Ecliptic ZDOT 0.00110365 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.03240000 +/- 0.0003
Geocenter to KBO 37.05813338 +/- 0.0003
# Hcoef: 6.66
The following table shows the complete astrometric record for 10MR116. 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 (10MR116) followed by the observatory code and reference code for the source of the astrometry.
2000 10 02.341069 23 43 09.39 +00 03 19.1 21.4V 10MR116 645 C~2PON 2000 10 02.341898 23 43 09.39 +00 03 18.9 20.8V 10MR116 645 C~2PON 2000 10 02.344386 23 43 09.39 +00 03 19.1 22.4V 10MR116 645 C~2PON 2001 10 14.289923 23 47 42.33 +01 14 21.1 22.1V 10MR116 645 C~2PON 2001 10 14.290752 23 47 42.34 +01 14 20.8 21.9V 10MR116 645 C~2PON 2001 10 14.293240 23 47 42.33 +01 14 20.9 22.9V 10MR116 645 C~2PON 2001 10 15.303021 23 47 37.91 +01 13 56.9 22.3V 10MR116 645 C~2PON 2001 10 15.303851 23 47 37.89 +01 13 56.9 21.9V 10MR116 645 C~2PON 2001 10 15.306338 23 47 37.89 +01 13 56.7 23.2V 10MR116 645 C~2PON 2001 11 12.152017 23 45 59.56 +01 05 06.2 22.4V 10MR116 645 C~2PON 2001 11 12.152846 23 45 59.56 +01 05 06.3 23.2V 10MR116 645 C~2PON 2001 11 12.155334 23 45 59.56 +01 05 06.2 23.5V 10MR116 645 C~2PON 2001 11 18.187600 23 45 45.89 +01 03 55.3 22.4V 10MR116 645 C~2PON 2001 11 18.188430 23 45 45.90 +01 03 55.3 21.7V 10MR116 645 C~2PON 2001 11 18.190918 23 45 45.89 +01 03 55.3 23.4V 10MR116 645 C~2PON 2004 10 15.20937 00 03 48.77 +04 58 33.8 22.0R 10MR116 695 C~1w3i 2004 10 15.30137 00 03 48.35 +04 58 31.4 10MR116 695 C~1w3i 2005 09 12.324263 00 11 51.32 +06 26 21.0 22.1V 10MR116 645 C~2PON 2005 09 12.325092 00 11 51.31 +06 26 20.9 21.9V 10MR116 645 C~2PON 2005 09 12.327580 00 11 51.30 +06 26 20.8 22.8V 10MR116 645 C~2PON 2005 09 28.256852 00 10 33.57 +06 19 54.3 22.4V 10MR116 645 C~2PON 2005 09 28.257681 00 10 33.57 +06 19 54.5 21.8V 10MR116 645 C~2PON 2005 09 28.260169 00 10 33.58 +06 19 54.5 23.8V 10MR116 645 C~2PON 2008 11 01.335306 00 24 01.54 +09 42 18.3 22.6V 10MR116 645 C~2PON 2008 11 01.336136 00 24 01.54 +09 42 18.3 22.2V 10MR116 645 C~2PON 2008 11 01.338623 00 24 01.54 +09 42 18.3 23.6V 10MR116 645 C~2PON 2010 06 15.57858 00 40 47.262 +12 12 49.68 22.6w 10MR116 F51 C~1w3i 2010 06 19.56080 00 40 56.560 +12 14 55.65 22.8w 10MR116 F51 C~1w3i 2010 06 19.56182 00 40 56.504 +12 14 55.41 22.6w 10MR116 F51 C~1w3i 2010 10 14.36921 00 36 07.954 +12 11 28.83 22.7G 10MR116 F51 C~36lq 2010 11 01.28175 00 34 46.426 +12 03 24.48 23.1w 10MR116 F51 C~1w3i 2010 11 01.29733 00 34 46.361 +12 03 23.91 23.0w 10MR116 F51 C~1w3i 2010 11 01.31455 00 34 46.282 +12 03 23.44 22.8w 10MR116 F51 C~1w3i 2010 11 01.33167 00 34 46.225 +12 03 23.18 22.9w 10MR116 F51 C~1w3i 2011 01 30.23908 00 34 03.392 +11 50 29.75 22.3G 10MR116 F51 C~36lq 2011 07 01.58876 00 46 29.677 +13 27 15.13 23.3w 10MR116 F51 C~1w3i 2011 08 10.55778 00 46 03.359 +13 36 43.27 23.4G 10MR116 F51 C~36lq 2011 09 04.43283 00 44 40.450 +13 34 29.54 22.9w 10MR116 F51 C~1w3i 2011 09 04.44768 00 44 40.395 +13 34 29.30 22.8w 10MR116 F51 C~1w3i 2011 09 04.46258 00 44 40.335 +13 34 29.19 22.9w 10MR116 F51 C~1w3i 2011 09 04.47759 00 44 40.263 +13 34 29.05 22.9w 10MR116 F51 C~1w3i 2011 09 19.39833 00 43 33.888 +13 30 29.78 22.2i 10MR116 F51 C~1w3i 2011 10 02.50259 00 42 30.204 +13 25 43.92 22.3g 10MR116 F51 C~1w3i 2012 10 09.34859 00 47 15.372 +14 30 37.86 22.0w 10MR116 F51 C~1w3i 2012 10 09.39121 00 47 15.194 +14 30 37.17 22.2w 10MR116 F51 C~1w3i 2012 11 03.42378 00 45 18.270 +14 19 21.34 21.7i 10MR116 F51 C~1w3i 2012 11 04.24796 00 45 14.840 +14 18 58.92 22.5w 10MR116 F51 C~1w3i 2012 11 04.26208 00 45 14.773 +14 18 58.59 22.6w 10MR116 F51 C~1w3i 2012 11 04.27616 00 45 14.712 +14 18 58.20 22.7w 10MR116 F51 C~1w3i 2012 11 04.29034 00 45 14.645 +14 18 57.75 22.6w 10MR116 F51 C~1w3i 2013 09 15.54642 00 54 34.053 +15 45 53.13 22.3w 10MR116 F51 C~1w3i 2013 09 15.56014 00 54 33.969 +15 45 52.91 22.3w 10MR116 F51 C~1w3i 2014 06 30.58666 01 02 09.776 +16 41 01.24 22.7G 10MR116 F51 C~36lq 2014 06 30.59061 01 02 09.818 +16 41 00.84 22.7G 10MR116 F51 C~36lq 2014 06 30.59456 01 02 09.800 +16 41 00.91 22.7G 10MR116 F51 C~36lq 2014 06 30.59850 01 02 09.811 +16 41 01.11 22.3G 10MR116 F51 C~36lq 2014 09 13.59653 01 00 05.728 +16 51 47.71 23.5G 10MR116 F51 C~36lq 2014 09 19.52054 00 59 39.011 +16 50 19.33 23.0G 10MR116 F51 C~36lq 2014 09 19.53306 00 59 38.955 +16 50 18.85 22.8G 10MR116 F51 C~36lq 2014 09 19.54516 00 59 38.902 +16 50 18.72 22.7G 10MR116 F51 C~36lq 2014 09 19.55726 00 59 38.830 +16 50 18.43 22.4G 10MR116 F51 C~36lq 2015 07 25.55618 01 07 39.121 +17 53 36.43 23.0G 10MR116 F51 C~36lq 2015 07 25.56976 01 07 39.126 +17 53 37.06 23.2G 10MR116 F51 C~36lq 2015 07 25.58340 01 07 39.110 +17 53 37.02 22.7G 10MR116 F51 C~36lq 2015 07 25.59714 01 07 39.097 +17 53 37.30 22.3G 10MR116 F51 C~36lq 2016 10 25.45235 01 07 25.223 +18 44 22.31 22.5G 10MR116 F51 C~36lq 2016 10 25.46505 01 07 25.174 +18 44 21.95 22.1G 10MR116 F51 C~36lq 2016 10 25.47764 01 07 25.101 +18 44 21.64 22.2G 10MR116 F51 C~36lq 2016 10 25.49017 01 07 25.024 +18 44 21.39 23.2G 10MR116 F51 C~36lq 2017 08 26.39016 01 17 17.096 +20 01 27.40 22.5G 10MR116 F51 C~36lq 2017 08 26.61495 01 17 16.371 +20 01 27.65 22.5G 10MR116 F51 C~36lq 2017 08 27.38668 01 17 14.020 +20 01 28.17 22.3G 10MR116 F51 C~36lq 2017 09 21.56794 01 15 34.931 +19 58 33.91 23.3G 10MR116 F51 C~36lq 2017 09 21.58186 01 15 34.904 +19 58 33.60 23.3G 10MR116 F51 C~36lq 2017 09 21.59573 01 15 34.817 +19 58 33.79 22.6G 10MR116 F51 C~36lq 2017 09 21.60961 01 15 34.754 +19 58 33.24 22.6G 10MR116 F51 C~36lq 2017 10 28.31556 01 12 34.931 +19 45 18.77 22.4G 10MR116 F51 C~36lq 2018 01 01.27040 01 09 33.589 +19 19 17.37 22.9G 10MR116 F51 C~36lq 2018 01 13.22101 01 09 41.042 +19 17 21.71 24.0G 10MR116 F51 C~36lq
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 -0.13 0.00 0.18
2 0.0000 0.00 -0.07 0.00 0.00
3 0.0000 0.00 0.11 0.00 0.27
4 1.0320 0.00 -0.05 0.00 0.18
5 1.0320 0.00 0.16 0.00 -0.10
6 1.0320 0.00 0.18 0.00 0.06
7 1.0348 0.00 0.27 0.00 -0.06
8 1.0348 0.00 0.03 0.00 -0.04
9 1.0348 0.00 0.19 0.00 -0.18
10 1.1110 0.00 -0.18 0.00 -0.23
11 1.1111 0.00 -0.15 0.00 -0.12
12 1.1111 0.00 -0.05 0.00 -0.19
13 1.1276 0.00 -0.05 0.00 -0.09
14 1.1276 0.00 0.13 0.00 -0.08
15 1.1276 0.00 0.06 0.00 -0.05
16 4.0352 0.00 -0.25 0.00 0.09
17 4.0355 0.00 -0.19 0.00 0.05
18 4.9445 0.00 0.07 0.00 -0.00
19 4.9445 0.00 -0.02 0.00 -0.08
20 4.9445 0.00 0.01 0.00 -0.13
21 4.9881 0.00 -0.12 0.00 -0.28
22 4.9881 0.00 -0.06 0.00 -0.06
23 4.9881 0.00 0.28 0.00 0.00
24 8.0821 0.00 0.14 0.00 -0.04
25 8.0821 0.00 0.19 0.00 -0.02
26 8.0821 0.00 0.34 0.00 0.05
27 9.7009 0.00 -0.47 0.00 0.32
28 9.7118 0.00 0.60 0.00 0.11
29 9.7118 0.00 -0.27 0.00 -0.16
30 10.0316 0.00 -0.01 0.00 -0.00
31 10.0806 0.00 0.08 0.00 0.32
32 10.0806 0.00 0.11 0.00 0.16
33 10.0807 0.00 0.03 0.00 0.15
34 10.0807 0.00 0.27 0.00 0.35
35 10.3269 0.00 -0.04 0.00 -0.00
36 10.7440 0.00 0.06 0.00 -0.14
37 10.8534 0.00 -0.07 0.00 -0.41
38 10.9215 0.00 -0.10 0.00 0.05
39 10.9216 0.00 0.01 0.00 -0.00
40 10.9216 0.00 0.05 0.00 0.07
41 10.9217 0.00 -0.08 0.00 0.11
42 10.9625 0.00 -0.15 0.00 0.18
43 10.9984 0.00 -0.41 0.00 0.28
44 12.0192 0.00 -0.30 0.00 -0.09
45 12.0193 0.00 0.25 0.00 0.30
46 12.0878 0.00 -0.17 0.00 -0.08
47 12.0901 0.00 -0.08 0.00 0.01
48 12.0901 0.00 -0.19 0.00 0.06
49 12.0902 0.00 -0.21 0.00 0.06
50 12.0902 0.00 -0.31 0.00 -0.01
51 12.9533 0.00 0.04 0.00 0.17
52 12.9534 0.00 -0.27 0.00 0.17
53 13.7419 0.00 -0.35 0.00 0.38
54 13.7420 0.00 0.18 0.00 -0.14
55 13.7420 0.00 -0.18 0.00 -0.19
56 13.7420 0.00 -0.11 0.00 -0.11
57 13.9473 0.00 -0.02 0.00 0.18
58 13.9635 0.00 -0.10 0.00 0.05
59 13.9636 0.00 -0.05 0.00 -0.23
60 13.9636 0.00 0.01 0.00 -0.16
61 13.9636 0.00 -0.22 0.00 -0.25
62 14.8096 0.00 0.03 0.00 -0.03
63 14.8097 0.00 0.22 0.00 0.35
64 14.8097 0.00 0.11 0.00 0.06
65 14.8097 0.00 0.04 0.00 0.09
66 16.0633 0.00 -0.03 0.00 -0.04
67 16.0633 0.00 0.17 0.00 -0.06
68 16.0633 0.00 -0.00 0.00 -0.02
69 16.0634 0.00 -0.24 0.00 0.07
70 16.8981 0.00 0.13 0.00 -0.06
71 16.8988 0.00 -0.11 0.00 -0.09
72 16.9009 0.00 0.35 0.00 -0.13
73 16.9698 0.00 -0.00 0.00 -0.17
74 16.9699 0.00 0.57 0.00 -0.28
75 16.9699 0.00 0.23 0.00 0.11
76 16.9699 0.00 0.26 0.00 -0.24
77 17.0704 0.00 0.03 0.00 -0.33
78 17.2483 0.00 0.25 0.00 -0.21
79 17.2810 0.00 -0.29 0.00 0.31
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.
10MR116 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 63.740 63.740 63.740 ecceobj 0.406 0.406 0.406 incobj 19.523 19.523 19.523 qmin 36.487 36.613 36.622 qmax 90.858 90.571 90.612 amean 62.634 62.634 62.636 amin 61.607 61.626 61.587 amax 63.951 63.912 63.920 emean 0.399 0.398 0.398 emin 0.381 0.381 0.381 emax 0.421 0.417 0.418 imean 19.978 20.046 20.011 imin 19.249 19.266 19.223 imax 20.589 20.585 20.548 excite_mean 0.525 0.525 0.525 fracstop 1.000 1.000 1.000 cjmean 2.965 2.966 2.966 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 154.2 158.9 157.3 kozaiamp 180.0 180.0 180.0