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: 99RZ214
# Created Thu May 24 01:37:01 2012
# Orbit generated from Bernstein formalism
# Fitting 13 observations of 13
# Arc: 4.21y
# First observation: 1999/09/06
# Last observation: 2003/11/21
Preliminary a, adot, b, bdot, g, gdot:
-0.000087 0.027968 -0.000023 -0.009433 0.025006 0.000000
# WARNING -- MRQMIN stopped after 19 iterations
# Chi-squared of fit: 12.68 DOF: 20 RMS: 0.17
# Min/Max residuals: -0.37 0.27
# Exact a, adot, b, bdot, g, gdot:
1.822673E-05 2.882416E-02 -7.127907E-06 -9.776755E-03 2.558322E-02 7.913570E-03
# Covariance matrix:
2.7893E-13 1.3810E-13 1.1588E-14 -4.5705E-14 3.3353E-13 1.2232E-12
1.3810E-13 1.5083E-12 9.8620E-14 -5.5486E-13 1.0345E-12 1.4089E-11
1.1588E-14 9.8620E-14 1.6141E-13 -8.4080E-14 6.8331E-14 9.6066E-13
-4.5705E-14 -5.5486E-13 -8.4080E-14 2.7187E-13 -3.4533E-13 -5.5137E-12
3.3353E-13 1.0345E-12 6.8331E-14 -3.4533E-13 1.1422E-12 8.8945E-12
1.2232E-12 1.4089E-11 9.6066E-13 -5.5137E-12 8.8945E-12 1.3966E-10
# lat0 lon0 xBary yBary zBary JD0
9.118536 10.354483 0.457178 0.140945 -0.879583 2451427.943383
# Heliocentric elements and errors
Epoch: 2451420.5000 = 1999/08/30
Mean Anomaly: 9.07440 +/- 0.011
Argument of Peri: 114.91054 +/- 0.042
Long of Asc Node: 214.57526 +/- 0.001
Inclination: 20.44287 +/- 0.000
Eccentricity: 0.57426292 +/- 0.0004
Semi-Major Axis: 86.36205741 +/- 0.0549
Time of Perihelion: 2444031.2820 +/- 5.7
Perihelion: 36.76753015 +/- 0.0389
Aphelion: 135.95658466 +/- 0.0919
Period (y) 802.5880 +/- 0.77
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 38.93170250 +/- 0.0016
Ecliptic Y 6.64978182 +/- 0.0003
Ecliptic Z 6.19432699 +/- 0.0003
Ecliptic XDOT 0.00042718 +/- 0.0000
Ecliptic YDOT 0.00322287 +/- 0.0000
Ecliptic ZDOT -0.00089879 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.97832844 +/- 0.0015
Geocenter to KBO 39.08811730 +/- 0.0016
# Hcoef: 7.72
The following table shows the complete astrometric record for 99RZ214. 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 (99RZ214) followed by the observatory code and reference code for the source of the astrometry.
1999 09 06.44264 00 23 27.75 +12 28 25.5 23.4R 99RZ214 568 Ca8546 1999 09 06.48988 00 23 27.58 +12 28 24.0 23.2R 99RZ214 568 Ca8546 1999 09 06.53045 00 23 27.40 +12 28 23.2 23.1R 99RZ214 568 Ca8546 1999 09 09.52779 00 23 15.05 +12 27 05.4 23.8R 99RZ214 568 Ca8546 1999 09 09.53939 00 23 15.00 +12 27 05.1 24.1R 99RZ214 568 Ca8546 1999 10 09.45885 00 21 02.58 +12 11 00.3 23.7R 99RZ214 568 Ca8546 1999 10 09.50226 00 21 02.36 +12 10 58.9 23.5R 99RZ214 568 Ca8546 1999 11 10.35318 00 18 59.93 +11 51 28.4 23.7R 99RZ214 568 Ca8546 1999 11 10.39921 00 18 59.82 +11 51 27.1 23.6R 99RZ214 568 Ca8546 2000 12 27.22947 00 25 08.531 +11 40 35.16 23.1R 99RZ214 568 Cl2529 2000 12 28.23874 00 25 09.610 +11 40 22.20 23.2R 99RZ214 568 Cl2529 2003 11 21.13688 00 46 04.66 +12 18 01.6 23.0R 99RZ214 695 Cl2529 2003 11 21.18662 00 46 04.50 +12 17 59.9 99RZ214 695 Cl2529
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 -0.08 0.00 0.22 2 0.0001 -2.88 0.14 -0.38 -0.22 3 0.0002 -5.62 0.07 -0.05 0.06 4 0.0084 -202.52 0.00 1.18 0.03 5 0.0085 -203.31 -0.01 1.20 0.04 6 0.0904 -2368.12 0.06 -102.37 -0.04 7 0.0905 -2371.64 -0.20 -102.35 0.27 8 0.1777 -4488.08 -0.30 -448.25 -0.37 9 0.1778 -4490.08 0.25 -448.78 -0.27 10 1.3081 206.55 0.18 -3222.29 0.18 11 1.3109 215.91 -0.08 -3240.50 0.20 12 4.2072 18109.00 0.16 -8373.23 -0.02 13 4.2074 18106.16 -0.18 -8373.91 -0.07
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.
99RZ214 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 86.172 86.336 86.010 ecceobj 0.573 0.574 0.572 incobj 20.442 20.442 20.442 qmin 36.464 36.678 36.581 qmax 133.374 134.225 133.538 amean 84.534 85.062 84.645 amin 84.202 84.721 84.371 amax 85.112 85.612 85.105 emean 0.560 0.559 0.560 emin 0.552 0.553 0.552 emax 0.570 0.570 0.570 imean 21.648 22.096 21.690 imin 20.666 21.006 20.821 imax 22.394 22.670 22.504 excite_mean 0.671 0.674 0.671 fracstop 1.000 1.000 1.000 cjmean 2.936 2.935 2.936 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 215.1 246.4 224.3 kozaiamp 180.0 119.6 180.0