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: 15NZ45
# Created Wed May 21 01:10:33 2025
# Orbit generated from Bernstein formalism
# Fitting 13 observations of 13
# Arc: 7.07d
# First observation: 2015/07/15
# Last observation: 2015/07/22
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.013423 0.000000 -0.008441 0.018049 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 3.96 DOF: 21 RMS: 0.10
# Min/Max residuals: -0.27 0.14
# Exact a, adot, b, bdot, g, gdot:
1.035803E-05 1.204343E-02 -6.900100E-06 -8.210989E-03 1.772376E-02 4.626169E-04
# Covariance matrix:
6.7078E-12 7.5388E-09 -1.1520E-12 -1.2092E-09 1.6670E-09 -6.4138E-09
7.5388E-09 8.9362E-06 -1.3622E-09 -1.4296E-06 1.9710E-06 -6.3131E-06
-1.1520E-12 -1.3622E-09 5.2379E-13 1.9911E-10 -3.0046E-10 1.1529E-09
-1.2092E-09 -1.4296E-06 1.9911E-10 2.3050E-07 -3.1536E-07 1.1133E-06
1.6670E-09 1.9710E-06 -3.0046E-10 -3.1536E-07 4.3476E-07 -1.6452E-06
-6.4138E-09 -6.3131E-06 1.1529E-09 1.1133E-06 -1.6452E-06 -9.3808E-04
# lat0 lon0 xBary yBary zBary JD0
9.903223 -21.120848 0.735149 0.121099 -0.693092 2457218.944659
# Heliocentric elements and errors
Epoch: 2457210.5000 = 2015/07/07
Mean Anomaly: 137.09353 +/- 108.183
Argument of Peri: 23.29805 +/- 23.298
Long of Asc Node: 172.14550 +/- 2.442
Inclination: 35.44383 +/- 4.689
Eccentricity: 0.03376726 +/- 0.0338
Semi-Major Axis: 55.70965165 +/- 9.0804
Time of Perihelion: 2399373.1290 +/- 9999999.9
Perihelion: 53.82848909 +/- 8.9731
Aphelion: 57.59081420 +/- 9.5736
Period (y) 415.8186 +/- 101.66
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 52.23519127 +/- 1.9288
Ecliptic Y -20.96681386 +/- 0.7452
Ecliptic Z 9.70328894 +/- 0.3610
Ecliptic XDOT 0.00093724 +/- 0.0009
Ecliptic YDOT 0.00162516 +/- 0.0016
Ecliptic ZDOT -0.00123713 +/- -0.0012
# Distances at JD0 (AU)
Heliocenter to KBO 57.11634011 +/- 1.7861
Geocenter to KBO 56.42142965 +/- 2.0990
# Hcoef: 7.34
The following table shows the complete astrometric record for 15NZ45. 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 (15NZ45) followed by the observatory code and reference code for the source of the astrometry.
2015 07 15.44387 22 27 09.01 +00 57 03.1 24.9r 15NZ45 T09 C~8r6s 2015 07 15.48467 22 27 08.90 +00 57 02.8 25.1r 15NZ45 T09 C~8r6s 2015 07 15.48681 22 27 08.90 +00 57 02.8 24.8r 15NZ45 T09 C~8r6s 2015 07 15.50847 22 27 08.85 +00 57 02.4 25.0r 15NZ45 T09 C~8r6s 2015 07 20.42844 22 26 56.98 +00 56 05.7 24.8i 15NZ45 T09 C~8r6s 2015 07 20.45033 22 26 56.92 +00 56 05.3 24.4i 15NZ45 T09 C~8r6s 2015 07 20.46939 22 26 56.87 +00 56 05.3 24.6i 15NZ45 T09 C~8r6s 2015 07 20.56035 22 26 56.64 +00 56 04.2 24.8i 15NZ45 T09 C~8r6s 2015 07 22.41783 22 26 51.87 +00 55 40.1 24.9z 15NZ45 T09 C~8r6s 2015 07 22.47331 22 26 51.74 +00 55 39.3 24.8z 15NZ45 T09 C~8r6s 2015 07 22.47600 22 26 51.74 +00 55 39.5 24.6z 15NZ45 T09 C~8r6s 2015 07 22.50032 22 26 51.67 +00 55 39.1 24.3z 15NZ45 T09 C~8r6s 2015 07 22.51655 22 26 51.63 +00 55 39.0 24.9z 15NZ45 T09 C~8r6s
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 -0.09
2 0.0001 -1.64 -0.07 0.33 0.11
3 0.0001 -1.64 0.01 0.33 0.10
4 0.0002 -2.49 -0.03 0.24 -0.06
5 0.0136 -188.84 0.03 13.66 -0.09
6 0.0137 -189.83 -0.07 13.62 -0.19
7 0.0138 -190.52 0.00 13.90 0.04
8 0.0140 -194.13 0.08 14.16 0.05
9 0.0191 -269.51 -0.27 18.33 0.04
10 0.0192 -271.62 -0.05 18.31 -0.11
11 0.0193 -271.54 0.14 18.49 0.07
12 0.0193 -272.67 0.03 18.51 0.03
13 0.0194 -273.26 0.12 18.64 0.12
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.
15NZ45 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0