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: 04US10 # Created Fri Nov 22 02:08:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 51 observations of 51 # Arc: 11.22y # First observation: 2004/10/17 # Last observation: 2016/01/07 # Chi-squared of fit: 53.48 DOF: 96 RMS: 0.18 # Min/Max residuals: -0.65 0.58 # Exact a, adot, b, bdot, g, gdot: 1.914397E-05 4.056776E-02 2.624350E-06 7.291832E-03 3.320869E-02 -2.288899E-03 # Covariance matrix: 2.2775E-13 -6.5654E-14 7.2267E-15 -8.3664E-15 -1.8293E-14 -9.9704E-14 -6.5654E-14 6.1106E-14 -9.2361E-15 1.0736E-14 1.7689E-14 1.2816E-13 7.2267E-15 -9.2361E-15 1.9307E-13 -2.1516E-14 -3.0031E-15 -2.0144E-14 -8.3664E-15 1.0736E-14 -2.1516E-14 4.3525E-15 3.0779E-15 2.3445E-14 -1.8293E-14 1.7689E-14 -3.0031E-15 3.0779E-15 5.9590E-14 3.4747E-14 -9.9704E-14 1.2816E-13 -2.0144E-14 2.3445E-14 3.4747E-14 2.8000E-13 # lat0 lon0 xBary yBary zBary JD0 -1.391374 6.083544 -0.304478 -0.023018 -0.952322 2453295.553063 # Heliocentric elements and errors Epoch: 2453296.5000 = 2004/10/18 Mean Anomaly: 350.48461 +/- 0.003 Argument of Peri: 7.49961 +/- 0.005 Long of Asc Node: 14.08550 +/- 0.000 Inclination: 10.30947 +/- 0.000 Eccentricity: 0.21592208 +/- 0.0000 Semi-Major Axis: 39.37486452 +/- 0.0015 Time of Perihelion: 2455681.8449 +/- 5.2 Perihelion: 30.87296203 +/- 0.0016 Aphelion: 47.87676701 +/- 0.0021 Period (y) 247.0796 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.84488267 +/- 0.0002 Ecliptic Y 3.59548501 +/- 0.0000 Ecliptic Z -0.73112161 +/- 0.0000 Ecliptic XDOT -0.00052893 +/- 0.0000 Ecliptic YDOT 0.00330014 +/- 0.0000 Ecliptic ZDOT 0.00060567 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.06236521 +/- 0.0002 Geocenter to KBO 30.11267285 +/- 0.0002 # Hcoef: 9.07
The following table shows the complete astrometric record for 04US10. 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 (04US10) followed by the observatory code and reference code for the source of the astrometry.
2004 10 17.05232 00 24 32.58 +01 08 17.8 04US10 304 Cn7976 2004 10 17.09064 00 24 32.36 +01 08 16.5 04US10 304 Cn7976 2004 10 17.12888 00 24 32.15 +01 08 15.3 04US10 304 Cn7976 2004 12 12.30446 00 21 17.00 +00 53 21.9 24.1R 04US10 568 Cn7976 2004 12 13.33971 00 21 16.41 +00 53 24.8 24.0R 04US10 568 Cn7976 2004 12 14.30817 00 21 16.03 +00 53 29.4 24.0R 04US10 568 Cn7976 2005 11 03.07160 00 30 56.81 +02 18 30.0 24. R 04US10 304 Cp0717 2005 11 03.11128 00 30 56.62 +02 18 28.9 04US10 304 Cp0717 2005 11 04.03096 00 30 52.19 +02 18 06.0 04US10 304 Cp0717 2007 07 12.31774 00 54 29.59 +05 34 50.3 04US10 304 Cv1994 2007 07 12.40557 00 54 29.66 +05 34 51.3 04US10 304 Cv1994 2013 08 09.51144 01 42 28.051 +13 04 10.50 23.9r 04US10 568 C~2WXG 2013 08 09.55415 01 42 27.981 +13 04 10.80 24.1r 04US10 568 C~2WXG 2013 09 02.47226 01 41 28.613 +13 02 01.90 23.8r 04US10 568 C~2WXG 2013 09 03.44820 01 41 24.923 +13 01 48.83 23.9r 04US10 568 C~2WXG 2013 09 03.49483 01 41 24.738 +13 01 48.14 23.6r 04US10 568 C~2WXG 2013 10 08.50929 01 38 24.366 +12 48 47.73 23.9r 04US10 568 C~2WXG 2013 10 30.50202 01 36 08.981 +12 37 33.36 23.8r 04US10 568 C~2WXG 2013 11 01.50542 01 35 56.869 +12 36 31.12 23.9r 04US10 568 C~2WXG 2013 11 28.29208 01 33 35.100 +12 23 50.64 23.5r 04US10 568 C~2WXG 2013 11 29.24926 01 33 30.997 +12 23 27.71 23.8r 04US10 568 C~2WXG 2013 12 04.39820 01 33 10.367 +12 21 31.93 23.7r 04US10 568 C~2WXG 2013 12 30.34280 01 32 10.496 +12 15 39.25 23.7r 04US10 568 C~2WXG 2014 01 02.23377 01 32 08.873 +12 15 27.29 24.2r 04US10 568 C~2WXG 2014 01 02.28087 01 32 08.857 +12 15 27.13 24.1r 04US10 568 C~2WXG 2014 01 02.36222 01 32 08.805 +12 15 26.61 24.4r 04US10 568 C~2WXG 2014 01 03.24172 01 32 08.555 +12 15 24.48 23.9r 04US10 568 C~2WXG 2014 08 24.47811 01 50 17.535 +14 15 47.64 23.9r 04US10 568 C~2WXG 2014 08 24.54804 01 50 17.347 +14 15 47.29 24.2r 04US10 568 C~2WXG 2014 08 30.45339 01 50 00.195 +14 15 06.95 24.0r 04US10 568 C~2WXG 2014 08 30.55998 01 49 59.831 +14 15 06.09 24.3r 04US10 568 C~2WXG 2014 09 18.47852 01 48 41.711 +14 10 35.21 24.0r 04US10 568 C~2WXG 2014 09 18.52126 01 48 41.497 +14 10 34.40 24.1r 04US10 568 C~2WXG 2014 09 23.51956 01 48 15.880 +14 08 50.65 24.0r 04US10 568 C~2WXG 2014 10 22.29484 01 45 25.179 +13 55 53.53 23.7r 04US10 568 C~2WXG 2014 10 22.33958 01 45 24.883 +13 55 52.38 23.7r 04US10 568 C~2WXG 2014 10 22.38432 01 45 24.598 +13 55 50.98 24.4r 04US10 568 C~2WXG 2014 10 23.48145 01 45 17.734 +13 55 17.47 23.5r 04US10 568 C~2WXG 2014 10 25.49739 01 45 05.132 +13 54 15.58 23.9r 04US10 568 C~2WXG 2014 11 20.22868 01 42 34.643 +13 41 20.39 24.2r 04US10 568 C~2WXG 2014 11 20.36911 01 42 33.894 +13 41 16.48 23.9r 04US10 568 C~2WXG 2014 11 21.26474 01 42 29.279 +13 40 51.70 23.7r 04US10 568 C~2WXG 2014 11 21.27445 01 42 29.225 +13 40 51.29 23.8r 04US10 568 C~2WXG 2014 11 21.42970 01 42 28.412 +13 40 47.16 23.7r 04US10 568 C~2WXG 2015 01 28.27933 01 40 44.587 +13 29 49.51 24.0r 04US10 568 C~2WXG 2015 02 19.25614 01 42 11.353 +13 37 24.24 23.9r 04US10 568 C~2WXG 2015 11 08.13766 01 52 10.01 +15 00 10.4 24.0R 04US10 G37 C~1dcI 2015 11 08.20931 01 52 09.55 +15 00 07.8 04US10 G37 C~1dcI 2015 12 07.40784 01 49 39.114 +14 46 47.06 24.0w 04US10 568 C~2WXG 2015 12 31.32052 01 48 35.317 +14 40 14.95 24.1w 04US10 568 C~2WXG 2016 01 07.29206 01 48 29.702 +14 39 26.12 24.3w 04US10 568 C~2WXG
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 0.17
2 0.0001 0.00 -0.07 0.00 0.05
3 0.0002 0.00 0.05 0.00 0.02
4 0.1540 0.00 0.55 0.00 0.58
5 0.1568 0.00 -0.22 0.00 -0.48
6 0.1595 0.00 -0.22 0.00 -0.37
7 1.0459 0.00 0.11 0.00 0.25
8 1.0460 0.00 0.18 0.00 0.15
9 1.0485 0.00 -0.65 0.00 0.19
10 2.7331 0.00 -0.01 0.00 -0.27
11 2.7333 0.00 0.26 0.00 -0.00
12 8.8117 0.00 0.25 0.00 -0.35
13 8.8118 0.00 -0.01 0.00 -0.16
14 8.8773 0.00 -0.07 0.00 0.01
15 8.8799 0.00 0.02 0.00 -0.09
16 8.8801 0.00 0.00 0.00 -0.16
17 8.9759 0.00 -0.04 0.00 -0.07
18 9.0361 0.00 0.41 0.00 -0.07
19 9.0416 0.00 -0.01 0.00 0.18
20 9.1150 0.00 0.13 0.00 0.05
21 9.1176 0.00 0.11 0.00 -0.03
22 9.1317 0.00 0.09 0.00 -0.25
23 9.2027 0.00 -0.08 0.00 -0.08
24 9.2106 0.00 0.04 0.00 -0.06
25 9.2108 0.00 0.14 0.00 -0.07
26 9.2110 0.00 -0.07 0.00 -0.32
27 9.2134 0.00 0.09 0.00 -0.09
28 9.8520 0.00 -0.05 0.00 -0.01
29 9.8521 0.00 -0.05 0.00 -0.03
30 9.8683 0.00 0.09 0.00 -0.11
31 9.8686 0.00 -0.04 0.00 -0.06
32 9.9204 0.00 0.01 0.00 -0.02
33 9.9205 0.00 0.04 0.00 0.00
34 9.9342 0.00 -0.03 0.00 -0.03
35 10.0130 0.00 0.08 0.00 -0.09
36 10.0131 0.00 -0.10 0.00 0.11
37 10.0132 0.00 -0.10 0.00 0.07
38 10.0162 0.00 0.04 0.00 0.05
39 10.0218 0.00 -0.07 0.00 -0.00
40 10.0922 0.00 0.04 0.00 -0.06
41 10.0926 0.00 -0.00 0.00 -0.06
42 10.0950 0.00 -0.04 0.00 0.08
43 10.0951 0.00 -0.09 0.00 -0.06
44 10.0955 0.00 -0.08 0.00 0.11
45 10.2813 0.00 -0.02 0.00 0.10
46 10.3414 0.00 0.01 0.00 0.22
47 11.0584 0.00 0.02 0.00 0.57
48 11.0586 0.00 -0.31 0.00 0.13
49 11.1386 0.00 -0.09 0.00 0.14
50 11.2040 0.00 0.03 0.00 0.09
51 11.2231 0.00 -0.10 0.00 0.15
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.
04US10 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.914 39.914 39.914 ecceobj 0.226 0.226 0.226 incobj 10.265 10.265 10.265 qmin 30.516 30.517 30.516 qmax 49.026 48.956 49.008 amean 39.456 39.456 39.456 amin 38.976 38.967 38.982 amax 40.009 40.024 40.013 emean 0.206 0.206 0.206 emin 0.182 0.182 0.181 emax 0.227 0.226 0.226 imean 10.688 10.685 10.696 imin 10.093 10.091 10.096 imax 11.614 11.611 11.614 excite_mean 0.277 0.277 0.277 fracstop 1.000 1.000 1.000 cjmean 2.964 2.964 2.964 libcent 0 179.3 181.2 179.8 libamp 0 103.6 105.0 104.2 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 195.1 195.7 195.4 kozaiamp 180.0 180.0 180.0