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: 11MM4 # Created Thu May 24 01:37:55 2012 # Orbit generated from Bernstein formalism # Fitting 90 observations of 90 # Arc: 0.89y # First observation: 2011/06/24 # Last observation: 2012/05/15 Preliminary a, adot, b, bdot, g, gdot: -0.000150 -0.078583 -0.000017 0.101930 0.072157 0.000000 # Chi-squared of fit: 488.20 DOF: 174 RMS: 0.41 # Min/Max residuals: -1.83 1.23 # Exact a, adot, b, bdot, g, gdot: -1.736668E-05 -8.115779E-02 2.272905E-05 1.063283E-01 7.428322E-02 5.930121E-02 # Covariance matrix: 2.9012E-14 -1.8313E-13 2.3583E-15 2.0867E-13 1.3196E-13 2.3654E-12 -1.8313E-13 2.7621E-12 -3.1820E-14 -3.5433E-12 -2.0386E-12 -4.0157E-11 2.3583E-15 -3.1820E-14 1.9851E-14 -1.2628E-14 3.0733E-14 1.3883E-13 2.0867E-13 -3.5433E-12 -1.2628E-14 6.9532E-12 2.6682E-12 7.5674E-11 1.3196E-13 -2.0386E-12 3.0733E-14 2.6682E-12 1.7015E-12 3.0246E-11 2.3654E-12 -4.0157E-11 1.3883E-13 7.5674E-11 3.0246E-11 8.5708E-10 # lat0 lon0 xBary yBary zBary JD0 73.751151 -113.196088 -0.435188 0.882058 -0.257146 2455736.871636 # Heliocentric elements and errors Epoch: 2455730.5000 = 2011/06/18 Mean Anomaly: 23.60887 +/- 0.012 Argument of Peri: 7.46812 +/- 0.009 Long of Asc Node: 282.54823 +/- 0.000 Inclination: 100.43444 +/- 0.000 Eccentricity: 0.47570241 +/- 0.0002 Semi-Major Axis: 21.30010575 +/- 0.0068 Time of Perihelion: 2453375.7558 +/- 0.2 Perihelion: 11.16759419 +/- 0.0063 Aphelion: 31.43261732 +/- 0.0114 Period (y) 98.3062 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -1.44174980 +/- 0.0000 Ecliptic Y -4.47751775 +/- 0.0001 Ecliptic Z 12.92439744 +/- 0.0002 Ecliptic XDOT -0.00151090 +/- 0.0000 Ecliptic YDOT 0.00408005 +/- 0.0000 Ecliptic ZDOT 0.00319496 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 13.75379427 +/- 0.0002 Geocenter to KBO 13.46199074 +/- 0.0002 # Hcoef: 9.39
The following table shows the complete astrometric record for 11MM4. 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 (11MM4) followed by the observatory code and reference code for the source of the astrometry.
2011 06 24.37087 17 19 32.671 +51 07 33.97 21.1r 11MM4 F51 C~0Wjg 2011 06 24.37147 17 19 32.643 +51 07 33.81 21.0r 11MM4 F51 C~0Wjg 2011 06 24.38094 17 19 32.353 +51 07 34.15 21.3r 11MM4 F51 C~0Wjg 2011 06 24.38154 17 19 32.325 +51 07 34.42 21.2r 11MM4 F51 C~0Wjg 2011 06 24.39220 17 19 32.011 +51 07 34.36 20.8i 11MM4 F51 C~0Wjg 2011 06 24.39286 17 19 31.995 +51 07 34.46 20.8i 11MM4 F51 C~0Wjg 2011 06 24.40283 17 19 31.681 +51 07 34.75 20.9i 11MM4 F51 C~0Wjg 2011 06 24.40349 17 19 31.667 +51 07 34.82 20.8i 11MM4 F51 C~0Wjg 2011 06 25.23046 17 19 06.94 +51 07 54.2 22.2 11MM4 926 C~0Wjg 2011 06 25.23351 17 19 06.88 +51 07 54.4 11MM4 926 C~0Wjg 2011 06 25.23654 17 19 06.76 +51 07 54.5 11MM4 926 C~0Wjg 2011 06 25.23957 17 19 06.68 +51 07 54.0 11MM4 926 C~0Wjg 2011 06 25.24262 17 19 06.61 +51 07 53.9 11MM4 926 C~0Wjg 2011 06 25.24566 17 19 06.51 +51 07 54.5 11MM4 926 C~0Wjg 2011 06 25.24870 17 19 06.35 +51 07 55.0 11MM4 926 C~0Wjg 2011 06 25.25176 17 19 06.24 +51 07 54.4 11MM4 926 C~0Wjg 2011 06 25.25478 17 19 06.07 +51 07 54.0 11MM4 926 C~0Wjg 2011 06 25.25784 17 19 06.08 +51 07 54.0 11MM4 926 C~0Wjg 2011 06 25.262645 17 19 05.89 +51 07 54.3 21.5V 11MM4 H21 C~0Wjg 2011 06 25.275216 17 19 05.47 +51 07 54.3 21.3V 11MM4 H21 C~0Wjg 2011 06 25.287819 17 19 05.08 +51 07 54.8 21.4V 11MM4 H21 C~0Wjg 2011 06 25.308220 17 19 04.50 +51 07 55.3 20.7V 11MM4 H21 C~0Wjg 2011 06 25.35824 17 19 02.99 +51 07 56.3 20.9R 11MM4 H01 C~0Wjg 2011 06 25.36480 17 19 02.79 +51 07 56.4 20.6R 11MM4 H01 C~0Wjg 2011 06 25.37203 17 19 02.58 +51 07 56.6 20.7R 11MM4 H01 C~0Wjg 2011 06 25.38284 17 19 02.24 +51 07 56.7 20.5R 11MM4 H01 C~0Wjg 2011 06 26.29333 17 18 35.05 +51 08 13.4 20.8R 11MM4 H01 C~0Wjg 2011 06 26.29970 17 18 34.85 +51 08 13.4 20.5R 11MM4 H01 C~0Wjg 2011 06 26.30752 17 18 34.62 +51 08 13.6 20.7R 11MM4 H01 C~0Wjg 2011 06 26.31511 17 18 34.38 +51 08 13.7 20.5R 11MM4 H01 C~0Wjg 2011 06 26.56109 17 18 27.100 +51 08 16.73 20.7R 11MM4 F65 C~0Wjg 2011 06 26.56385 17 18 26.950 +51 08 16.64 20.8R 11MM4 F65 C~0Wjg 2011 06 26.56662 17 18 26.914 +51 08 16.80 20.3R 11MM4 F65 C~0Wjg 2011 06 27.95131 17 17 45.84 +51 08 32.0 11MM4 B01 C~0WrS 2011 06 27.96631 17 17 45.30 +51 08 32.2 21.3 11MM4 B01 C~0WrS 2011 06 27.97620 17 17 44.97 +51 08 32.8 20.8 11MM4 B01 C~0Wjg 2011 06 27.98261 17 17 44.78 +51 08 34.1 20.7 11MM4 B01 C~0Wjg 2011 06 27.98902 17 17 44.56 +51 08 32.8 21.0 11MM4 B01 C~0Wjg 2011 06 27.99544 17 17 44.42 +51 08 33.0 21.6 11MM4 B01 C~0Wjh 2011 06 28.00185 17 17 44.29 +51 08 33.9 21.3 11MM4 B01 C~0Wjh 2011 06 28.00826 17 17 44.12 +51 08 33.1 11MM4 B01 C~0Wjh 2011 06 28.239694 17 17 37.20 +51 08 35.2 21.3V 11MM4 H21 C~0Wjh 2011 06 28.250233 17 17 36.89 +51 08 35.5 21.3V 11MM4 H21 C~0Wjh 2011 06 28.260490 17 17 36.52 +51 08 35.6 20.5R 11MM4 H36 C~0Wjh 2011 06 28.260767 17 17 36.59 +51 08 35.6 21.5V 11MM4 H21 C~0Wjh 2011 06 28.272405 17 17 36.23 +51 08 35.7 20.7R 11MM4 H36 C~0Wjh 2011 06 28.296261 17 17 35.52 +51 08 35.8 20.7R 11MM4 H36 C~0Wjh 2011 06 28.378627 17 17 33.128 +51 08 36.75 20.2R 11MM4 568 C~0Wjh 2011 06 28.380924 17 17 33.058 +51 08 36.72 20.2R 11MM4 568 C~0Wjh 2011 06 28.383222 17 17 32.987 +51 08 36.73 20.3R 11MM4 568 C~0Wjh 2011 06 28.385523 17 17 32.919 +51 08 36.77 20.3R 11MM4 568 C~0Wjh 2011 06 28.387818 17 17 32.850 +51 08 36.79 20.1R 11MM4 568 C~0Wjh 2011 06 29.250722 17 17 07.43 +51 08 40.0 20.7R 11MM4 H36 C~0Wjh 2011 06 29.261972 17 17 07.06 +51 08 39.8 20.8R 11MM4 H36 C~0Wjh 2011 06 29.97409 17 16 46.17 +51 08 40.6 11MM4 J95 C~0Wjh 2011 06 30.00005 17 16 45.37 +51 08 40.4 20.6R 11MM4 J95 C~0Wjh 2011 06 30.17093 17 16 40.46 +51 08 40.4 11MM4 H06 C~0Wjh 2011 06 30.17470 17 16 40.26 +51 08 40.4 20.6R 11MM4 H06 C~0Wjh 2011 06 30.21401 17 16 39.12 +51 08 40.7 21.1R 11MM4 H01 C~0Wjh 2011 06 30.22508 17 16 38.79 +51 08 40.8 20.7R 11MM4 H01 C~0Wjh 2011 06 30.225843 17 16 38.75 +51 08 40.2 21.5V 11MM4 H21 C~0Wjh 2011 06 30.238376 17 16 38.36 +51 08 40.1 21.6V 11MM4 H21 C~0Wjh 2011 06 30.24465 17 16 38.21 +51 08 40.6 20.7R 11MM4 H01 C~0Wjh 2011 06 30.251141 17 16 37.99 +51 08 40.1 21.6V 11MM4 H21 C~0Wjh 2011 06 30.44945 17 16 32.19 +51 08 40.3 20.8R 11MM4 F65 C~0Wjh 2011 06 30.45203 17 16 32.12 +51 08 40.3 20.9R 11MM4 F65 C~0Wjh 2011 06 30.45462 17 16 32.04 +51 08 40.2 20.7R 11MM4 F65 C~0Wjh 2011 07 01.227443 17 16 09.60 +51 08 34.9 20.8R 11MM4 H36 C~0Wjh 2011 07 01.257549 17 16 08.73 +51 08 33.9 21.3R 11MM4 H36 C~0Wjh 2011 07 01.34282 17 16 06.15 +51 08 35.6 21.5R 11MM4 695 C~0Wjh 2011 07 01.38002 17 16 05.06 +51 08 35.3 21.4R 11MM4 695 C~0Wjh 2011 07 01.40483 17 16 04.38 +51 08 35.4 20.7R 11MM4 F65 C~0Wjh 2011 07 01.41134 17 16 04.18 +51 08 35.3 20.7R 11MM4 F65 C~0Wjh 2011 07 01.41851 17 16 03.95 +51 08 35.3 20.9R 11MM4 F65 C~0Wjh 2011 07 01.42973 17 16 03.61 +51 08 35.0 20.1V 11MM4 F65 C~0Wjh 2011 07 03.00954 17 15 17.92 +51 08 17.0 20.6R 11MM4 104 C~0WrS 2011 07 03.02226 17 15 17.59 +51 08 17.1 20.4R 11MM4 104 C~0WrS 2011 07 25.25804 17 05 41.44 +50 46 15.0 11MM4 H06 C~0X7U 2011 07 25.28711 17 05 40.82 +50 46 11.5 20.7R 11MM4 H06 C~0X7U 2011 07 28.17351 17 04 37.68 +50 41 08.5 20.6R 11MM4 688 C~0XFe 2011 07 28.21079 17 04 36.86 +50 41 04.5 11MM4 688 C~0XFe 2012 03 28.44557 17 36 25.45 +53 22 12.8 20.7V 11MM4 H06 C~0gf0 2012 03 28.44925 17 36 25.37 +53 22 14.6 20.9V 11MM4 H06 C~0gf0 2012 05 11.88012 17 21 50.90 +56 35 06.3 20.5R 11MM4 204 C~0gf0 2012 05 11.90862 17 21 50.16 +56 35 11.8 11MM4 204 C~0gf0 2012 05 14.331860 17 20 38.38 +56 42 42.2 21.4V 11MM4 H21 C~0gf0 2012 05 14.346145 17 20 38.02 +56 42 45.2 21.3V 11MM4 H21 C~0gf0 2012 05 14.361190 17 20 37.66 +56 42 48.2 21.4V 11MM4 H21 C~0gf0 2012 05 15.40198 17 20 06.29 +56 45 54.4 20.7R 11MM4 F65 C~0gf0 2012 05 15.40883 17 20 06.05 +56 45 55.7 11MM4 F65 C~0gf0
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 0.02 0.00 -0.02 2 0.0000 -0.22 -0.03 -0.22 -0.21 3 0.0000 -2.94 -0.07 -0.57 -0.12 4 0.0000 -3.27 -0.22 -0.38 0.11 5 0.0001 -6.11 -0.04 -1.17 -0.19 6 0.0001 -6.28 -0.02 -1.11 -0.10 7 0.0001 -9.22 -0.13 -1.57 -0.08 8 0.0001 -9.36 -0.08 -1.54 -0.01 9 0.0024 -239.63 0.42 -40.70 0.77 10 0.0024 -240.23 0.69 -40.65 0.98 11 0.0024 -241.35 0.42 -40.83 0.95 12 0.0024 -241.95 0.67 -41.51 0.43 13 0.0024 -242.57 0.92 -41.77 0.32 14 0.0024 -243.63 0.71 -41.42 0.82 15 0.0024 -245.21 -0.01 -41.31 1.08 16 0.0024 -246.06 0.00 -42.15 0.40 17 0.0024 -247.51 -0.60 -42.93 -0.23 18 0.0024 -247.42 0.35 -42.91 -0.06 19 0.0024 -249.23 0.06 -43.06 0.19 20 0.0025 -253.06 -0.23 -44.04 -0.14 21 0.0025 -256.74 -0.38 -44.47 0.08 22 0.0026 -262.15 -0.06 -45.34 0.27 23 0.0027 -276.17 -0.14 -47.89 0.17 24 0.0027 -278.02 -0.15 -48.26 0.14 25 0.0027 -279.98 -0.09 -48.56 0.23 26 0.0028 -283.11 -0.18 -49.26 0.10 27 0.0053 -535.22 -0.20 -96.35 0.23 28 0.0053 -537.04 -0.25 -96.81 0.12 29 0.0053 -539.19 -0.21 -97.15 0.21 30 0.0053 -541.40 -0.31 -97.61 0.17 31 0.0060 -608.56 0.69 -111.55 -0.26 32 0.0060 -609.90 0.11 -111.98 -0.53 33 0.0060 -610.27 0.51 -111.91 -0.30 34 0.0098 -988.79 0.88 -191.84 -0.92 35 0.0098 -993.76 0.03 -192.89 -1.06 36 0.0099 -996.92 -0.41 -193.06 -0.63 37 0.0099 -998.97 -0.70 -192.24 0.59 38 0.0099 -1000.66 -0.63 -194.00 -0.78 39 0.0099 -1001.99 -0.20 -194.13 -0.52 40 0.0099 -1003.40 0.16 -193.56 0.45 41 0.0100 -1004.75 0.56 -194.72 -0.32 42 0.0106 -1068.43 -0.19 -208.54 -0.30 43 0.0106 -1071.33 -0.20 -208.96 -0.06 44 0.0106 -1074.73 -0.85 -209.71 -0.21 45 0.0106 -1074.09 -0.08 -209.55 0.01 46 0.0107 -1077.40 -0.25 -210.28 -0.03 47 0.0107 -1083.91 -0.21 -211.81 -0.06 48 0.0110 -1105.98 -0.11 -216.36 0.14 49 0.0110 -1106.61 -0.11 -216.55 0.09 50 0.0110 -1107.26 -0.12 -216.70 0.08 51 0.0110 -1107.89 -0.12 -216.82 0.11 52 0.0110 -1108.52 -0.13 -216.96 0.11 53 0.0134 -1341.39 0.37 -271.82 -0.14 54 0.0134 -1344.72 0.10 -272.86 -0.44 55 0.0153 -1535.71 0.18 -319.47 -0.01 56 0.0154 -1542.97 -0.08 -321.48 -0.25 57 0.0159 -1587.82 0.45 -332.58 -0.06 58 0.0159 -1589.65 -0.35 -333.03 -0.26 59 0.0160 -1600.14 -0.23 -335.32 0.14 60 0.0160 -1603.18 -0.27 -335.97 0.25 61 0.0160 -1603.40 -0.14 -336.64 -0.27 62 0.0161 -1606.94 -0.29 -337.62 -0.38 63 0.0161 -1608.43 -0.23 -337.47 0.09 64 0.0161 -1610.32 -0.23 -338.45 -0.32 65 0.0166 -1663.35 -0.27 -351.35 0.21 66 0.0166 -1663.99 -0.21 -351.51 0.23 67 0.0167 -1664.70 -0.22 -351.79 0.14 68 0.0188 -1868.50 0.89 -407.43 -1.11 69 0.0189 -1876.21 1.23 -410.36 -1.83 70 0.0191 -1900.20 -0.08 -414.49 0.17 71 0.0192 -1910.09 -0.06 -417.23 0.20 72 0.0193 -1916.33 0.03 -418.66 0.27 73 0.0193 -1918.13 -0.04 -419.20 0.20 74 0.0193 -1920.23 -0.22 -419.72 0.21 75 0.0193 -1923.27 -0.26 -420.77 -0.01 76 0.0237 -2336.81 0.03 -540.14 -0.40 77 0.0237 -2339.85 0.31 -540.77 -0.02 78 0.0846 -7363.55 -0.07 -3028.40 0.78 79 0.0846 -7368.60 0.41 -3033.04 0.33 80 0.0925 -7895.40 -0.08 -3451.52 0.00 81 0.0926 -7902.24 -0.21 -3457.00 0.07 82 0.7613 6699.90 0.48 10351.70 -0.11 83 0.7613 6698.67 -0.11 10353.20 0.41 84 0.8830 -3811.39 -0.76 19378.93 -0.26 85 0.8831 -3818.75 0.01 19382.71 -0.06 86 0.8897 -4509.71 -0.41 19670.25 -0.72 87 0.8897 -4513.36 0.06 19672.42 -0.16 88 0.8898 -4517.01 0.76 19674.60 0.32 89 0.8926 -4815.36 0.14 19791.02 0.29 90 0.8926 -4817.61 -0.12 19791.79 0.30
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.
11MM4 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 21.927 21.927 21.927 ecceobj 0.497 0.497 0.497 incobj 100.535 100.535 100.535 qmin 10.831 10.802 10.790 qmax 34.123 33.658 33.476 amean 22.194 21.871 21.750 amin 21.712 21.535 21.495 amax 22.547 22.349 22.263 emean 0.503 0.496 0.494 emin 0.491 0.489 0.488 emax 0.513 0.507 0.504 imean 102.091 102.249 102.407 imin 101.729 101.918 102.023 imax 102.571 102.635 102.813 excite_mean 1.100 1.096 1.095 fracstop 0.023 0.025 0.020 cjmean 1.040 1.056 1.061 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 238.3 147.1 228.9 kozaiamp 180.0 180.0 179.8