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: 10RM45 # Created Wed Apr 24 01:13:24 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 39 observations of 39 # Arc: 13.14y # First observation: 2010/08/18 # Last observation: 2023/10/09 # Chi-squared of fit: 86.45 DOF: 72 RMS: 0.26 # Min/Max residuals: -0.62 1.11 # Exact a, adot, b, bdot, g, gdot: 1.754414E-05 2.514578E-02 -3.155719E-06 -3.434160E-03 2.477781E-02 -2.606009E-03 # Covariance matrix: 1.9958E-13 -3.9776E-14 -5.6074E-15 3.5844E-15 7.4262E-14 -7.6941E-14 -3.9776E-14 3.5166E-14 4.1257E-15 -4.6618E-15 4.7325E-15 9.6911E-14 -5.6074E-15 4.1257E-15 1.5148E-13 -1.3146E-14 -6.0480E-15 1.1757E-14 3.5844E-15 -4.6618E-15 -1.3146E-14 2.0964E-15 -1.1615E-15 -1.3408E-14 7.4262E-14 4.7325E-15 -6.0480E-15 -1.1615E-15 2.2753E-13 1.7087E-14 -7.6941E-14 9.6911E-14 1.1757E-14 -1.3408E-14 1.7087E-14 2.7861E-13 # lat0 lon0 xBary yBary zBary JD0 -17.876220 -27.319575 0.131499 -0.306796 -0.951049 2455426.942196 # Heliocentric elements and errors Epoch: 2455426.5000 = 2010/08/18 Mean Anomaly: 323.24667 +/- 0.014 Argument of Peri: 295.98324 +/- 0.018 Long of Asc Node: 87.01497 +/- 0.000 Inclination: 19.05936 +/- 0.000 Eccentricity: 0.15601866 +/- 0.0000 Semi-Major Axis: 46.65350055 +/- 0.0043 Time of Perihelion: 2467309.3055 +/- 14.9 Perihelion: 39.37468414 +/- 0.0042 Aphelion: 53.93231697 +/- 0.0054 Period (y) 318.6651 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.95795284 +/- 0.0007 Ecliptic Y -18.20488769 +/- 0.0003 Ecliptic Z -12.38865703 +/- 0.0002 Ecliptic XDOT 0.00092902 +/- 0.0000 Ecliptic YDOT 0.00265412 +/- 0.0000 Ecliptic ZDOT -0.00027278 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.31538474 +/- 0.0006 Geocenter to KBO 40.35878207 +/- 0.0008 # Hcoef: 5.97
The following table shows the complete astrometric record for 10RM45. 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 (10RM45) followed by the observatory code and reference code for the source of the astrometry.
2010 08 18.44143 22 47 02.587 -27 05 21.60 21.6i 10RM45 F51 C~1w3j 2010 08 18.46731 22 47 02.464 -27 05 22.62 22.5r 10RM45 F51 C~1w3j 2010 09 03.41954 22 45 43.616 -27 13 21.41 22.1r 10RM45 F51 C~1w3j 2010 09 03.43055 22 45 43.565 -27 13 21.86 22.2r 10RM45 F51 C~1w3j 2010 09 05.12251 22 45 35.185 -27 14 05.71 22.6R 10RM45 809 C~0MhP 2010 09 05.21289 22 45 34.695 -27 14 08.08 22.2R 10RM45 809 C~0MhP 2010 09 05.29589 22 45 34.255 -27 14 10.17 22.3R 10RM45 809 C~0MhP 2010 09 08.00623 22 45 20.724 -27 15 16.52 10RM45 809 C~0MhP 2010 09 08.09001 22 45 20.294 -27 15 18.75 10RM45 809 C~0MhP 2010 09 16.41925 22 44 39.230 -27 18 17.88 22.1i 10RM45 F51 C~1w3j 2010 09 16.43015 22 44 39.179 -27 18 17.94 21.9i 10RM45 F51 C~1w3j 2010 10 07.10086 22 43 07.27 -27 22 27.2 10RM45 807 C~0NnS 2010 10 07.14539 22 43 07.17 -27 22 27.4 10RM45 807 C~0NnS 2011 09 24.264694 22 50 21.39 -26 56 53.8 10RM45 309 C~4qDt 2011 09 24.265736 22 50 21.38 -26 56 53.9 10RM45 309 C~4qDt 2011 10 02.027707 22 49 46.51 -26 58 31.0 10RM45 309 C~4qDt 2011 10 02.028822 22 49 46.50 -26 58 30.6 10RM45 309 C~4qDt 2019 06 10.344225 23 44 40.58 -22 09 11.6 10RM45 W84 C~4qDt 2019 06 10.360938 23 44 40.60 -22 09 11.7 10RM45 W84 C~4qDt 2019 09 08.148113 23 41 27.12 -23 01 08.2 10RM45 W84 C~4qDt 2019 09 08.149491 23 41 27.12 -23 01 08.4 10RM45 W84 C~4qDt 2019 09 08.159097 23 41 27.07 -23 01 08.6 10RM45 W84 C~4qDt 2021 09 13.418056 23 53 15.796 -21 55 45.27 22.2w 10RM45 F51 C~52ML 2021 09 13.428814 23 53 15.756 -21 55 45.37 22.3w 10RM45 F51 C~52ML 2021 09 13.450266 23 53 15.651 -21 55 45.99 22.1w 10RM45 F51 C~52ML 2023 07 26.599741 00 08 28.557 -20 12 13.52 22.1w 10RM45 F51 C~6whR 2023 07 26.604880 00 08 28.545 -20 12 13.69 22.0w 10RM45 F51 C~6whR 2023 07 26.610028 00 08 28.523 -20 12 13.79 22.0w 10RM45 F51 C~6whR 2023 08 18.575958 00 07 22.074 -20 27 21.46 22.0w 10RM45 F51 C~77nW 2023 08 18.587225 00 07 22.025 -20 27 21.83 22.1w 10RM45 F51 C~77nW 2023 08 18.598510 00 07 21.978 -20 27 22.41 22.0w 10RM45 F51 C~77nW 2023 09 15.432512 00 05 20.332 -20 44 21.61 22.1w 10RM45 F51 C~7Ajg 2023 09 15.443706 00 05 20.290 -20 44 21.97 22.0w 10RM45 F51 C~7Ajg 2023 09 15.454910 00 05 20.214 -20 44 22.35 22.0w 10RM45 F51 C~7Ajg 2023 09 15.467844 00 05 20.141 -20 44 22.70 22.1w 10RM45 F51 C~7Ajg 2023 10 09.361645 00 03 24.032 -20 54 23.13 21.9w 10RM45 F51 C~7Ajg 2023 10 09.372850 00 03 23.977 -20 54 23.46 22.0w 10RM45 F51 C~7Ajg 2023 10 09.384066 00 03 23.926 -20 54 23.67 22.0w 10RM45 F51 C~7Ajg 2023 10 09.396850 00 03 23.854 -20 54 23.78 22.2w 10RM45 F51 C~7Ajg
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 -0.41 0.00 0.06
2 0.0001 0.00 -0.35 0.00 -0.10
3 0.0437 0.00 -0.37 0.00 0.12
4 0.0438 0.00 -0.30 0.00 -0.04
5 0.0484 0.00 1.11 0.00 -0.18
6 0.0487 0.00 0.67 0.00 -0.24
7 0.0489 0.00 0.41 0.00 -0.23
8 0.0563 0.00 0.40 0.00 0.26
9 0.0565 0.00 0.29 0.00 0.06
10 0.0793 0.00 -0.37 0.00 -0.26
11 0.0794 0.00 -0.33 0.00 -0.11
12 0.1360 0.00 -0.62 0.00 0.33
13 0.1361 0.00 0.57 0.00 0.34
14 1.1001 0.00 0.07 0.00 0.05
15 1.1001 0.00 -0.01 0.00 -0.03
16 1.1214 0.00 -0.47 0.00 -0.25
17 1.1214 0.00 -0.54 0.00 0.16
18 8.8101 0.00 0.05 0.00 -0.02
19 8.8102 0.00 -0.06 0.00 0.23
20 9.0560 0.00 -0.08 0.00 0.09
21 9.0560 0.00 0.03 0.00 -0.06
22 9.0560 0.00 -0.02 0.00 0.05
23 11.0718 0.00 0.01 0.00 -0.30
24 11.0718 0.00 0.21 0.00 -0.06
25 11.0719 0.00 0.23 0.00 -0.02
26 12.9368 0.00 0.10 0.00 -0.03
27 12.9368 0.00 0.08 0.00 -0.00
28 12.9368 0.00 -0.09 0.00 0.09
29 12.9997 0.00 -0.09 0.00 -0.11
30 12.9997 0.00 -0.18 0.00 -0.04
31 12.9997 0.00 -0.25 0.00 -0.17
32 13.0760 0.00 -0.00 0.00 0.04
33 13.0760 0.00 0.19 0.00 0.04
34 13.0760 0.00 -0.12 0.00 0.01
35 13.0760 0.00 -0.26 0.00 0.07
36 13.1415 0.00 0.07 0.00 0.12
37 13.1415 0.00 0.06 0.00 -0.01
38 13.1415 0.00 0.10 0.00 -0.03
39 13.1416 0.00 -0.06 0.00 0.09
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.
10RM45 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.528 46.528 46.528 ecceobj 0.156 0.156 0.156 incobj 19.084 19.084 19.084 qmin 38.679 38.656 38.692 qmax 54.422 54.383 54.435 amean 46.378 46.378 46.379 amin 45.980 45.998 45.989 amax 46.823 46.812 46.802 emean 0.150 0.150 0.150 emin 0.136 0.137 0.136 emax 0.163 0.163 0.163 imean 17.517 17.517 17.517 imin 17.111 17.113 17.117 imax 17.819 17.810 17.819 excite_mean 0.336 0.336 0.336 fracstop 1.000 1.000 1.000 cjmean 2.990 2.990 2.990 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 178.3 178.2 178.2 kozaiamp 179.9 179.9 180.0