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: 11UP411
# Created Fri Nov 22 02:09:14 2024
# Orbit generated from Bernstein formalism
# Fitting 20 observations of 20
# Arc: 4.35y
# First observation: 2008/10/02
# Last observation: 2013/02/06
Preliminary a, adot, b, bdot, g, gdot:
0.000301 0.031962 -0.000094 -0.006770 0.027369 0.000000
# Chi-squared of fit: 7.06 DOF: 34 RMS: 0.11
# Min/Max residuals: -0.27 0.29
# Exact a, adot, b, bdot, g, gdot:
1.922806E-05 3.199195E-02 -3.525913E-06 -6.837188E-03 2.652119E-02 -1.123853E-03
# Covariance matrix:
4.8614E-13 -2.8470E-13 -1.1334E-14 3.4509E-14 -1.2305E-13 -1.2643E-12
-2.8470E-13 6.1717E-13 4.0207E-14 -1.2299E-13 4.7699E-13 4.5201E-12
-1.1334E-14 4.0207E-14 4.4449E-13 -1.3433E-13 2.9385E-14 3.2155E-13
3.4509E-14 -1.2299E-13 -1.3433E-13 6.9568E-14 -9.3234E-14 -9.7928E-13
-1.2305E-13 4.7699E-13 2.9385E-14 -9.3234E-14 5.8667E-13 3.5100E-12
-1.2643E-12 4.5201E-12 3.2155E-13 -9.7928E-13 3.5100E-12 3.5885E-11
# lat0 lon0 xBary yBary zBary JD0
6.180914 26.147770 0.282152 0.103329 -0.953810 2454741.930564
# Heliocentric elements and errors
Epoch: 2454740.5000 = 2008/10/01
Mean Anomaly: 357.98037 +/- 0.009
Argument of Peri: 159.95977 +/- 0.031
Long of Asc Node: 231.92804 +/- 0.001
Inclination: 13.44700 +/- 0.000
Eccentricity: 0.49233969 +/- 0.0001
Semi-Major Axis: 75.97648483 +/- 0.0156
Time of Perihelion: 2456097.5230 +/- 6.2
Perihelion: 38.57024572 +/- 0.0108
Aphelion: 113.38272395 +/- 0.0243
Period (y) 662.2577 +/- 0.20
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 34.63699167 +/- 0.0010
Ecliptic Y 16.68526898 +/- 0.0005
Ecliptic Z 4.05957809 +/- 0.0001
Ecliptic XDOT -0.00148467 +/- 0.0000
Ecliptic YDOT 0.00294943 +/- 0.0000
Ecliptic ZDOT -0.00071433 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.66005131 +/- 0.0009
Geocenter to KBO 37.70569672 +/- 0.0011
# Hcoef: 8.42
The following table shows the complete astrometric record for 11UP411. 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 (11UP411) followed by the observatory code and reference code for the source of the astrometry.
2008 10 02.429810 01 27 41.11 +15 50 47.2 23.7V 11UP411 645 C~1qmd 2008 10 02.430639 01 27 41.11 +15 50 47.2 23.1V 11UP411 645 C~1qmd 2008 10 02.433127 01 27 41.09 +15 50 47.2 11UP411 645 C~1qmd 2011 09 05.59747 01 52 39.317 +16 52 28.76 24.2r 11UP411 568 C~1C6O 2011 10 25.35082 01 49 09.224 +16 32 43.71 24.5r 11UP411 568 C~1C6O 2011 10 25.40068 01 49 08.965 +16 32 42.17 24.0r 11UP411 568 C~1C6O 2011 10 26.29551 01 49 04.610 +16 32 14.15 24.3r 11UP411 568 C~1C6O 2011 10 26.30517 01 49 04.564 +16 32 13.80 24.4r 11UP411 568 C~1C6O 2011 10 26.34841 01 49 04.344 +16 32 12.60 24.2r 11UP411 568 C~1C6O 2011 10 26.39151 01 49 04.127 +16 32 11.36 23.9r 11UP411 568 C~1C6O 2011 11 24.27497 01 46 53.620 +16 16 59.75 24.6r 11UP411 568 C~1C6O 2011 11 30.32106 01 46 31.222 +16 14 00.89 11UP411 568 C~1C6O 2012 01 26.30218 01 45 38.157 +15 58 04.27 24.7r 11UP411 568 C~1C6O 2012 01 27.23615 01 45 40.010 +15 58 03.07 24.9r 11UP411 568 C~1C6O 2012 08 17.57288 02 00 59.832 +17 09 56.49 24.7r 11UP411 568 C~1C6O 2012 08 24.53062 02 00 49.954 +17 09 23.65 24.3r 11UP411 568 C~1C6O 2012 10 17.37819 01 57 33.130 +16 52 03.13 23.9r 11UP411 568 C~1C6O 2012 10 20.47322 01 57 17.990 +16 50 32.06 24.0r 11UP411 568 C~1C6O 2013 01 14.34579 01 52 58.984 +16 14 52.01 24.7r 11UP411 568 C~1C6O 2013 02 06.27606 01 53 39.579 +16 14 03.79 24.1r 11UP411 568 C~1C6O
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 -0.03 0.00 -0.11
2 0.0000 0.00 0.03 0.00 -0.11
3 0.0000 -0.27 -0.06 0.11 -0.00
4 2.9245 21543.23 -0.06 -4256.72 -0.04
5 3.0607 18270.53 0.10 -4326.06 0.12
6 3.0608 18266.47 -0.04 -4326.21 0.18
7 3.0633 18197.47 0.08 -4330.73 0.07
8 3.0633 18196.73 0.09 -4330.83 0.02
9 3.0634 18193.32 0.06 -4330.85 0.18
10 3.0636 18189.93 0.07 -4330.93 0.29
11 3.1426 16097.49 0.02 -4530.53 0.00
12 3.1592 15730.56 -0.08 -4585.17 -0.03
13 3.3152 14673.52 0.14 -5214.12 0.03
14 3.3177 14698.26 -0.16 -5224.68 0.14
15 3.8745 28765.16 -0.04 -5715.38 -0.11
16 3.8935 28617.84 -0.01 -5698.83 -0.05
17 4.0409 25556.22 -0.05 -5729.13 -0.27
18 4.0494 25317.25 0.01 -5741.33 -0.13
19 4.2845 21033.22 -0.04 -6486.40 -0.10
20 4.3473 21572.39 -0.03 -6734.25 -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.
11UP411 quality flag:3 Type: 4:1EEE 4:1EEE 4:1EEE axisobj 77.249 77.295 77.204 ecceobj 0.501 0.501 0.500 incobj 13.405 13.405 13.405 qmin 36.302 36.304 36.295 qmax 117.604 117.663 117.649 amean 75.871 75.871 75.871 amin 74.822 74.827 74.837 amax 77.463 77.414 77.419 emean 0.503 0.503 0.503 emin 0.483 0.483 0.483 emax 0.521 0.521 0.521 imean 12.528 12.545 12.536 imin 10.798 10.779 10.780 imax 14.449 14.450 14.449 excite_mean 0.548 0.548 0.548 fracstop 1.000 1.000 1.000 cjmean 3.075 3.075 3.075 libcent 0 75.8 76.3 75.9 libamp 0 21.2 24.0 22.9 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 144.8 148.5 147.0 kozaiamp 19.3 15.4 16.9