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: 10VZ98 # Created Thu May 24 01:37:54 2012 # Orbit generated from Bernstein formalism # Fitting 26 observations of 26 # Arc: 0.98y # First observation: 2010/11/11 # Last observation: 2011/11/04 Preliminary a, adot, b, bdot, g, gdot: -0.000062 0.035776 0.000002 0.000241 0.026671 0.000000 # Chi-squared of fit: 36.63 DOF: 46 RMS: 0.21 # Min/Max residuals: -0.44 0.58 # Exact a, adot, b, bdot, g, gdot: 2.101401E-05 3.515985E-02 9.367178E-07 2.413121E-04 2.713138E-02 -8.943557E-03 # Covariance matrix: 2.9757E-13 2.8417E-12 -1.1376E-14 3.1022E-14 1.2999E-12 8.5042E-11 2.8417E-12 1.6146E-10 -5.3111E-13 1.5468E-12 6.3074E-11 4.3751E-09 -1.1376E-14 -5.3111E-13 2.2975E-13 -2.5316E-13 -2.1822E-13 -1.4553E-11 3.1022E-14 1.5468E-12 -2.5316E-13 3.7258E-13 6.1732E-13 4.2155E-11 1.2999E-12 6.3074E-11 -2.1822E-13 6.1732E-13 2.5474E-11 1.7228E-09 8.5042E-11 4.3751E-09 -1.4553E-11 4.2155E-11 1.7228E-09 1.1894E-07 # lat0 lon0 xBary yBary zBary JD0 -4.602938 32.816194 -0.268852 -0.076286 -0.947843 2455511.547976 # Heliocentric elements and errors Epoch: 2455510.5000 = 2010/11/10 Mean Anomaly: 356.46656 +/- 0.172 Argument of Peri: 308.51208 +/- 1.060 Long of Asc Node: 117.39918 +/- 0.018 Inclination: 4.51000 +/- 0.000 Eccentricity: 0.73585782 +/- 0.0086 Semi-Major Axis: 133.51918367 +/- 3.6910 Time of Perihelion: 2461041.5751 +/- 142.5 Perihelion: 35.26804854 +/- 1.5029 Aphelion: 231.77031880 +/- 6.5083 Period (y) 1542.8500 +/- 63.98 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.53303276 +/- 0.0057 Ecliptic Y 20.65135689 +/- 0.0037 Ecliptic Z -2.95783681 +/- 0.0005 Ecliptic XDOT -0.00267749 +/- 0.0000 Ecliptic YDOT 0.00250165 +/- 0.0000 Ecliptic ZDOT 0.00009670 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.80951594 +/- 0.0052 Geocenter to KBO 36.85769059 +/- 0.0069 # Hcoef: 4.96
The following table shows the complete astrometric record for 10VZ98. 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 (10VZ98) followed by the observatory code and reference code for the source of the astrometry.
2010 11 11.04721 02 08 48.162 +08 07 12.75 20.3R 10VZ98 809 C~0POR 2010 11 11.17265 02 08 47.572 +08 07 09.98 20.4R 10VZ98 809 C~0POR 2010 11 12.02549 02 08 43.575 +08 06 50.90 20.3R 10VZ98 809 C~0POR 2010 11 12.14525 02 08 43.008 +08 06 48.49 20.2R 10VZ98 809 C~0POR 2010 11 12.26550 02 08 42.441 +08 06 45.61 20.3R 10VZ98 809 C~0POR 2011 01 02.15511 02 06 00.11 +07 57 00.9 20.4R 10VZ98 688 C~0RWJ 2011 01 02.28511 02 05 59.92 +07 57 01.0 10VZ98 688 C~0RWJ 2011 08 30.04366 02 21 23.57 +09 17 11.2 20.6R 10VZ98 461 C~0Xbs 2011 08 30.09016 02 21 23.50 +09 17 10.0 20.7R 10VZ98 461 C~0Xbs 2011 08 31.08509 02 21 21.78 +09 16 55.0 20.2R 10VZ98 461 C~0Xbs 2011 10 20.13213 02 18 21.20 +08 58 06.2 20.4R 10VZ98 304 C~0ZUc 2011 10 20.21968 02 18 20.77 +08 58 04.0 10VZ98 304 C~0ZUc 2011 10 20.32847 02 18 20.25 +08 58 01.2 10VZ98 304 C~0ZUc 2011 10 21.19606 02 18 16.04 +08 57 38.5 10VZ98 304 C~0ZUc 2011 10 21.29950 02 18 15.53 +08 57 36.0 10VZ98 304 C~0ZUc 2011 10 21.32542 02 18 15.40 +08 57 35.3 10VZ98 304 C~0ZUc 2011 10 22.09619 02 18 11.66 +08 57 15.4 10VZ98 304 C~0ZUc 2011 10 22.26014 02 18 10.85 +08 57 11.2 10VZ98 304 C~0ZUc 2011 10 22.34616 02 18 10.42 +08 57 09.0 10VZ98 304 C~0ZUc 2011 10 24.16308 02 18 01.55 +08 56 22.2 10VZ98 304 C~0ZUc 2011 10 24.24117 02 18 01.14 +08 56 20.2 10VZ98 304 C~0ZUc 2011 10 24.32229 02 18 00.73 +08 56 17.8 10VZ98 304 C~0ZUc 2011 10 31.12767 02 17 27.106 +08 53 25.78 20.6R 10VZ98 807 C~0evG 2011 10 31.17838 02 17 26.846 +08 53 24.67 20.2R 10VZ98 807 C~0evG 2011 11 04.14112 02 17 07.321 +08 51 46.98 20.3R 10VZ98 807 C~0evG 2011 11 04.19381 02 17 07.061 +08 51 45.56 20.3R 10VZ98 807 C~0evG
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 -0.11 0.00 -0.16 2 0.0003 -9.18 0.06 0.35 -0.17 3 0.0027 -71.49 -0.03 2.44 -0.07 4 0.0030 -80.23 0.10 3.01 0.15 5 0.0033 -89.13 0.10 3.14 -0.05 6 0.1427 -2555.93 0.24 269.16 0.07 7 0.1430 -2558.55 -0.35 270.21 0.15 8 0.7994 11972.87 -0.13 218.48 0.58 9 0.7996 11971.49 -0.14 217.68 0.05 10 0.8023 11942.41 0.07 211.91 0.30 11 0.9393 9037.60 -0.01 31.27 -0.14 12 0.9396 9030.85 0.03 31.31 -0.08 13 0.9399 9022.63 0.26 31.22 -0.14 14 0.9422 8956.13 0.03 30.51 -0.32 15 0.9425 8948.16 0.11 30.66 -0.16 16 0.9426 8946.11 0.08 30.64 -0.18 17 0.9447 8887.12 0.02 30.26 -0.14 18 0.9451 8874.38 0.08 30.29 -0.13 19 0.9454 8867.62 0.04 30.33 -0.08 20 0.9504 8727.86 0.21 29.82 -0.14 21 0.9506 8721.45 -0.06 29.95 -0.04 22 0.9508 8714.91 -0.24 29.70 -0.30 23 0.9694 8186.91 -0.43 33.00 0.36 24 0.9696 8182.90 -0.44 33.23 0.53 25 0.9804 7877.05 0.24 37.33 0.14 26 0.9806 7872.94 0.25 37.27 -0.02
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.
10VZ98 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 134.149 134.146 134.152 ecceobj 0.737 0.737 0.737 incobj 4.509 4.509 4.509 qmin 34.132 34.035 34.036 qmax 251.159 274.602 252.641 amean 130.568 142.965 133.650 amin 119.386 127.000 126.687 amax 143.257 155.014 143.982 emean 0.729 0.752 0.736 emin 0.700 0.719 0.719 emax 0.753 0.771 0.755 imean 3.254 3.222 2.981 imin 2.818 2.784 2.693 imax 3.664 3.632 3.452 excite_mean 0.731 0.754 0.737 fracstop 1.000 1.000 1.000 cjmean 3.076 3.076 3.076 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 162.5 157.6 145.9 kozaiamp 180.0 180.0 180.0