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 Thu Sep 4 01:10:47 2025 # Orbit generated from Bernstein formalism # Fitting 25 observations of 25 # Arc: 0.84y # First observation: 2014/09/18 # Last observation: 2015/07/22 Preliminary a, adot, b, bdot, g, gdot: -0.000007 0.010694 -0.000000 -0.007893 0.017183 0.000000 # Chi-squared of fit: 9.16 DOF: 44 RMS: 0.11 # Min/Max residuals: -0.29 0.29 # Exact a, adot, b, bdot, g, gdot: 1.027971E-05 1.039576E-02 -7.364322E-06 -7.865923E-03 1.737043E-02 -6.647192E-03 # Covariance matrix: 2.5655E-13 7.3319E-12 2.8268E-14 -3.6603E-12 5.1974E-12 5.3472E-10 7.3319E-12 9.6790E-10 2.5737E-12 -3.8334E-10 3.7240E-10 5.5128E-08 2.8268E-14 2.5737E-12 1.3163E-13 -1.2470E-12 1.2497E-12 1.5876E-10 -3.6603E-12 -3.8334E-10 -1.2470E-12 1.5869E-10 -1.6910E-10 -2.2850E-08 5.1974E-12 3.7240E-10 1.2497E-12 -1.6910E-10 2.1511E-10 2.4577E-08 5.3472E-10 5.5128E-08 1.5876E-10 -2.2850E-08 2.4577E-08 3.2982E-06 # lat0 lon0 xBary yBary zBary JD0 10.319999 -22.651528 -0.305203 0.172087 -0.944528 2456918.747608 # Heliocentric elements and errors Epoch: 2456910.5000 = 2014/09/10 Mean Anomaly: 301.95716 +/- 13.554 Argument of Peri: 274.79013 +/- 5.262 Long of Asc Node: 170.71132 +/- 0.016 Inclination: 38.39617 +/- 0.033 Eccentricity: 0.45282210 +/- 0.1090 Semi-Major Axis: 61.51048785 +/- 7.6310 Time of Perihelion: 2485320.3116 +/- 4008.0 Perihelion: 33.65717971 +/- 7.8982 Aphelion: 89.36379599 +/- 12.9559 Period (y) 482.4274 +/- 89.77 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 53.27045629 +/- 0.0441 Ecliptic Y -21.89885325 +/- 0.0184 Ecliptic Z 10.31286704 +/- 0.0087 Ecliptic XDOT -0.00011993 +/- 0.0003 Ecliptic YDOT 0.00181904 +/- 0.0001 Ecliptic ZDOT -0.00140731 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 58.51202025 +/- 0.0408 Geocenter to KBO 57.56910179 +/- 0.0486 # Hcoef: 7.22
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.
2014 09 18.24683 22 20 55.93 +00 46 55.0 25.6g 15NZ45 T09 C~90Hg 2014 09 18.27261 22 20 55.87 +00 46 54.3 25.5g 15NZ45 T09 C~90Hg 2014 09 18.28547 22 20 55.83 +00 46 54.0 25.4g 15NZ45 T09 C~90Hg 2014 09 18.33749 22 20 55.66 +00 46 52.6 24.7y 15NZ45 T09 C~90Hg 2014 09 18.35377 22 20 55.60 +00 46 52.3 24.3y 15NZ45 T09 C~90Hg 2014 09 18.37024 22 20 55.55 +00 46 52.0 23.8y 15NZ45 T09 C~90Hg 2014 09 22.24066 22 20 43.97 +00 45 08.5 24.3r 15NZ45 T09 C~90Hg 2014 09 22.24493 22 20 43.96 +00 45 08.3 24.8r 15NZ45 T09 C~90Hg 2014 09 22.25348 22 20 43.94 +00 45 08.2 24.6r 15NZ45 T09 C~90Hg 2014 09 22.31871 22 20 43.73 +00 45 06.5 24.6r 15NZ45 T09 C~90Hg 2014 09 22.35604 22 20 43.64 +00 45 05.5 24.9i 15NZ45 T09 C~90Hg 2014 09 22.37509 22 20 43.58 +00 45 04.8 25.1i 15NZ45 T09 C~90Hg 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 -0.17 0.00 0.04
2 0.0001 -1.09 0.10 -0.32 -0.08
3 0.0001 -1.76 0.12 -0.38 -0.04
4 0.0002 -4.65 -0.01 -0.75 -0.01
5 0.0003 -5.60 -0.09 -0.69 0.17
6 0.0003 -6.40 -0.03 -0.70 0.29
7 0.0109 -205.96 -0.06 -33.20 -0.03
8 0.0109 -206.17 -0.06 -33.34 -0.13
9 0.0110 -206.49 0.07 -33.32 -0.04
10 0.0111 -210.04 -0.12 -33.74 0.08
11 0.0113 -211.66 0.18 -34.18 -0.04
12 0.0113 -212.76 0.07 -34.50 -0.21
13 0.8219 5429.72 0.08 -1487.94 -0.09
14 0.8220 5428.07 -0.07 -1487.62 0.10
15 0.8220 5428.07 0.01 -1487.62 0.10
16 0.8221 5427.22 -0.03 -1487.72 -0.07
17 0.8355 5240.68 0.07 -1475.15 -0.08
18 0.8356 5239.69 -0.03 -1475.19 -0.18
19 0.8357 5239.00 0.04 -1474.92 0.05
20 0.8359 5235.38 0.12 -1474.67 0.06
21 0.8410 5159.94 -0.29 -1470.85 0.04
22 0.8411 5157.83 -0.08 -1470.88 -0.11
23 0.8411 5157.90 0.10 -1470.69 0.07
24 0.8412 5156.78 -0.00 -1470.68 0.02
25 0.8413 5156.18 0.09 -1470.55 0.11
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