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: 12US177 # Created Wed Apr 24 01:14:06 2024 # Orbit generated from Bernstein formalism # Fitting 25 observations of 25 # Arc: 1.47y # First observation: 2011/08/31 # Last observation: 2013/02/17 Preliminary a, adot, b, bdot, g, gdot: -0.000084 0.032598 -0.000065 -0.005077 0.027549 0.000000 # Chi-squared of fit: 6.38 DOF: 44 RMS: 0.09 # Min/Max residuals: -0.19 0.18 # Exact a, adot, b, bdot, g, gdot: 1.854140E-05 3.267815E-02 -2.491444E-06 -5.234000E-03 2.773492E-02 4.900277E-03 # Covariance matrix: 6.6112E-13 2.4062E-13 5.8915E-14 -2.3655E-13 6.3106E-13 2.6792E-11 2.4062E-13 1.2931E-12 1.0362E-13 -4.1853E-13 1.1351E-12 4.7546E-11 5.8915E-14 1.0362E-13 3.6829E-13 -3.5464E-13 1.1535E-13 5.4463E-12 -2.3655E-13 -4.1853E-13 -3.5464E-13 5.0729E-13 -4.7262E-13 -2.1445E-11 6.3106E-13 1.1351E-12 1.1535E-13 -4.7262E-13 1.3312E-12 5.4069E-11 2.6792E-11 4.7546E-11 5.4463E-12 -2.1445E-11 5.4069E-11 2.4049E-09 # lat0 lon0 xBary yBary zBary JD0 15.150082 33.833485 0.836811 0.146088 -0.539630 2455805.110056 # Heliocentric elements and errors Epoch: 2455800.5000 = 2011/08/27 Mean Anomaly: 11.50989 +/- 0.106 Argument of Peri: 92.85073 +/- 0.268 Long of Asc Node: 271.82845 +/- 0.003 Inclination: 17.20387 +/- 0.001 Eccentricity: 0.37301808 +/- 0.0009 Semi-Major Axis: 56.70193803 +/- 0.0422 Time of Perihelion: 2450814.3680 +/- 45.6 Perihelion: 35.55108988 +/- 0.0569 Aphelion: 77.85278619 +/- 0.0767 Period (y) 426.9776 +/- 0.48 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.84266624 +/- 0.0012 Ecliptic Y 18.99482547 +/- 0.0008 Ecliptic Z 9.42300465 +/- 0.0004 Ecliptic XDOT -0.00129923 +/- 0.0000 Ecliptic YDOT 0.00302010 +/- 0.0000 Ecliptic ZDOT -0.00037223 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.60848453 +/- 0.0011 Geocenter to KBO 36.05562963 +/- 0.0015 # Hcoef: 8.64
The following table shows the complete astrometric record for 12US177. 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 (12US177) followed by the observatory code and reference code for the source of the astrometry.
2011 08 31.60929 01 43 33.169 +26 58 20.30 12US177 568 C~1CL9 2011 09 05.51527 01 43 17.043 +26 58 26.31 24.3r 12US177 568 C~1CL9 2011 11 24.40211 01 36 39.395 +26 24 36.89 24.2r 12US177 568 C~1CL9 2011 12 01.43672 01 36 11.391 +26 19 52.08 24.4r 12US177 568 C~1CL9 2012 01 28.27620 01 35 33.979 +25 50 10.70 24.9r 12US177 568 C~1CL9 2012 08 18.56522 01 52 19.617 +27 20 35.61 12US177 568 C~1CL9 2012 08 23.51180 01 52 10.204 +27 21 30.85 24.3r 12US177 568 C~1CL9 2012 08 23.52043 01 52 10.181 +27 21 30.92 24.4r 12US177 568 C~1CL9 2012 08 24.47891 01 52 08.063 +27 21 39.52 24.4r 12US177 568 C~1CL9 2012 08 28.45470 01 51 58.324 +27 22 08.68 24.2r 12US177 568 C~1CL9 2012 08 28.49840 01 51 58.187 +27 22 08.95 12US177 568 C~1CL9 2012 08 28.54123 01 51 58.083 +27 22 09.18 24.1r 12US177 568 C~1CL9 2012 09 14.47302 01 51 00.272 +27 22 05.12 24.3r 12US177 568 C~1CL9 2012 10 20.42963 01 47 57.983 +27 10 57.08 24.2r 12US177 568 C~1CL9 2012 10 21.41369 01 47 52.480 +27 10 27.67 24.1r 12US177 568 C~1CL9 2012 10 21.45226 01 47 52.261 +27 10 26.64 24.4r 12US177 568 C~1CL9 2012 10 21.49068 01 47 52.038 +27 10 25.36 24.1r 12US177 568 C~1CL9 2012 11 14.40182 01 45 43.082 +26 56 31.47 24.4r 12US177 568 C~1CL9 2012 11 16.32639 01 45 33.587 +26 55 17.18 24.2r 12US177 568 C~1CL9 2013 01 14.24596 01 43 16.888 +26 20 19.68 24.2r 12US177 568 C~1CL9 2013 01 14.30364 01 43 16.928 +26 20 18.31 24.4r 12US177 568 C~1CL9 2013 02 03.31096 01 43 57.763 +26 14 10.57 24.1r 12US177 568 C~1CL9 2013 02 09.26083 01 44 18.591 +26 13 13.08 24.4r 12US177 568 C~1CL9 2013 02 14.25904 01 44 38.976 +26 12 44.24 24.0r 12US177 568 C~1CL9 2013 02 17.25617 01 44 52.414 +26 12 35.62 24.3r 12US177 568 C~1CL9
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 -0.10
2 0.0134 -197.96 -0.04 85.56 0.05
3 0.2322 -5900.42 0.05 216.73 -0.04
4 0.2514 -6357.64 -0.09 98.07 -0.06
5 0.4098 -7509.39 0.07 -1353.35 0.01
6 0.9663 7034.81 0.18 -1304.02 -0.06
7 0.9799 6937.01 0.17 -1207.83 0.10
8 0.9799 6936.75 0.12 -1207.65 0.11
9 0.9825 6913.39 0.01 -1189.59 0.06
10 0.9934 6802.32 0.05 -1116.22 0.07
11 0.9935 6800.71 -0.17 -1115.32 0.15
12 0.9937 6799.50 -0.00 -1114.61 0.06
13 1.0400 6077.68 -0.19 -844.05 0.12
14 1.1385 3568.33 -0.04 -592.86 0.01
15 1.1411 3489.20 -0.07 -593.63 -0.12
16 1.1413 3486.11 -0.01 -593.53 -0.01
17 1.1414 3482.87 -0.10 -593.65 -0.10
18 1.2068 1574.46 -0.06 -741.69 -0.17
19 1.2121 1429.07 -0.08 -764.21 0.08
20 1.3734 -1048.82 0.05 -2036.98 -0.07
21 1.3736 -1048.83 0.02 -2038.45 0.02
22 1.4283 -675.03 0.11 -2583.60 0.10
23 1.4446 -435.87 0.03 -2740.65 -0.02
24 1.4583 -191.53 -0.05 -2868.71 -0.09
25 1.4665 -26.58 0.01 -2943.39 -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.
12US177 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 56.877 57.017 56.741 ecceobj 0.375 0.378 0.372 incobj 17.206 17.206 17.207 qmin 34.660 34.809 34.752 qmax 79.035 78.692 79.237 amean 56.230 56.232 56.251 amin 55.479 55.507 55.386 amax 57.116 57.114 57.358 emean 0.364 0.362 0.362 emin 0.344 0.342 0.341 emax 0.384 0.380 0.384 imean 18.998 19.137 19.193 imin 18.115 18.335 18.417 imax 19.852 20.094 20.053 excite_mean 0.488 0.489 0.489 fracstop 1.000 1.000 1.000 cjmean 2.942 2.942 2.941 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 173.5 173.5 173.0 kozaiamp 180.0 180.0 180.0