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: 15NB45
# Created Sun Oct 19 01:11:03 2025
# Orbit generated from Bernstein formalism
# Fitting 19 observations of 19
# Arc: 0.84y
# First observation: 2014/09/18
# Last observation: 2015/07/22
Preliminary a, adot, b, bdot, g, gdot:
-0.000023 0.030883 -0.000002 0.005266 0.024826 0.000000
# Chi-squared of fit: 6.94 DOF: 32 RMS: 0.11
# Min/Max residuals: -0.25 0.16
# Exact a, adot, b, bdot, g, gdot:
1.953002E-05 2.983819E-02 2.882612E-06 5.254465E-03 2.537765E-02 -1.307201E-02
# Covariance matrix:
3.7166E-13 2.7805E-11 1.3862E-15 3.2989E-12 1.0083E-11 8.0131E-10
2.7805E-11 6.8871E-09 -3.6695E-13 7.4401E-10 1.9310E-09 1.8380E-07
1.3862E-15 -3.6695E-13 1.8606E-13 -2.5301E-13 -1.3508E-14 -7.6545E-12
3.2989E-12 7.4401E-10 -2.5301E-13 8.1864E-11 2.1702E-10 2.0058E-08
1.0083E-11 1.9310E-09 -1.3508E-14 2.1702E-10 6.1047E-10 5.3189E-08
8.0131E-10 1.8380E-07 -7.6545E-12 2.0058E-08 5.3189E-08 4.9451E-06
# lat0 lon0 xBary yBary zBary JD0
8.749600 -22.733841 -0.306440 0.146077 -0.948501 2456918.738888
# Heliocentric elements and errors
Epoch: 2456910.5000 = 2014/09/10
Mean Anomaly: 355.01333 +/- 2.432
Argument of Peri: 94.77534 +/- 4.923
Long of Asc Node: 297.09526 +/- 0.032
Inclination: 12.99453 +/- 0.008
Eccentricity: 0.77252673 +/- 0.0849
Semi-Major Axis: 146.14579745 +/- 47.4214
Time of Perihelion: 2465849.4473 +/- 271.7
Perihelion: 33.24426199 +/- 16.4371
Aphelion: 259.04733292 +/- 84.9657
Period (y) 1766.8013 +/- 859.94
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 36.92190024 +/- 0.0350
Ecliptic Y -15.13693892 +/- 0.0147
Ecliptic Z 5.99425689 +/- 0.0058
Ecliptic XDOT -0.00012578 +/- 0.0002
Ecliptic YDOT 0.00353643 +/- 0.0001
Ecliptic ZDOT 0.00034587 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.35201052 +/- 0.0325
Geocenter to KBO 39.40475504 +/- 0.0384
# Hcoef: 9.08
The following table shows the complete astrometric record for 15NB45. 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 (15NB45) followed by the observatory code and reference code for the source of the astrometry.
2014 09 18.23811 22 22 56.13 -00 42 31.2 25.4g 15NB45 T09 C~90Hg 2014 09 18.26617 22 22 56.03 -00 42 31.8 25.8g 15NB45 T09 C~90Hg 2014 09 18.27693 22 22 55.97 -00 42 32.2 25.7g 15NB45 T09 C~90Hg 2014 09 18.27906 22 22 55.97 -00 42 32.2 25.9g 15NB45 T09 C~90Hg 2014 09 22.32087 22 22 39.35 -00 44 18.7 25.3r 15NB45 T09 C~90Hg 2014 09 22.32302 22 22 39.34 -00 44 18.7 25.1r 15NB45 T09 C~90Hg 2014 09 22.35060 22 22 39.23 -00 44 19.3 24.7i 15NB45 T09 C~90Hg 2014 09 22.37236 22 22 39.14 -00 44 20.2 24.5i 15NB45 T09 C~90Hg 2015 07 15.44102 22 33 26.85 +00 32 20.5 25.6r 15NB45 T09 C~8ncf 2015 07 15.46513 22 33 26.77 +00 32 20.4 25.1r 15NB45 T09 C~8ncf 2015 07 15.46726 22 33 26.77 +00 32 20.4 24.9r 15NB45 T09 C~8ncf 2015 07 15.50197 22 33 26.67 +00 32 20.4 25.1r 15NB45 T09 C~8ncf 2015 07 21.45179 22 33 07.84 +00 31 47.1 25.5i 15NB45 T09 C~8ncf 2015 07 21.48446 22 33 07.73 +00 31 46.8 24.9i 15NB45 T09 C~8ncf 2015 07 21.50079 22 33 07.69 +00 31 46.8 24.7i 15NB45 T09 C~8ncf 2015 07 21.54156 22 33 07.54 +00 31 46.4 24.7i 15NB45 T09 C~8ncf 2015 07 22.41440 22 33 04.60 +00 31 40.1 24.3z 15NB45 T09 C~8ncf 2015 07 22.43553 22 33 04.53 +00 31 39.7 24.6z 15NB45 T09 C~8ncf 2015 07 22.45169 22 33 04.46 +00 31 39.4 25.0z 15NB45 T09 C~8ncf
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 -0.19 0.00 0.08
2 0.0001 -1.62 0.13 -0.01 0.10
3 0.0001 -2.60 -0.11 -0.05 0.07
4 0.0001 -2.60 0.03 -0.05 0.07
5 0.0112 -273.57 0.02 -7.66 -0.10
6 0.0112 -273.71 0.02 -7.61 -0.04
7 0.0113 -275.46 0.12 -7.56 0.05
8 0.0113 -277.05 -0.01 -7.90 -0.25
9 0.8219 10457.90 0.03 706.72 0.05
10 0.8220 10456.75 -0.07 707.06 0.08
11 0.8220 10456.75 0.03 707.06 0.06
12 0.8221 10455.35 0.16 707.62 0.15
13 0.8384 10179.71 -0.11 780.35 0.01
14 0.8385 10178.06 -0.10 780.68 -0.06
15 0.8385 10177.50 0.16 780.90 -0.04
16 0.8386 10175.26 -0.01 781.35 -0.08
17 0.8410 10131.82 0.08 791.68 0.14
18 0.8411 10130.69 0.04 791.70 -0.10
19 0.8411 10129.60 -0.21 791.80 -0.19
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.
15NB45 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