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: 15FZ399
# Created Sun Feb 23 02:10:19 2025
# Orbit generated from Bernstein formalism
# Fitting 16 observations of 16
# Arc: 10.93d
# First observation: 2015/03/18
# Last observation: 2015/03/29
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.040788 -0.000000 -0.001158 0.025511 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: 4.65 DOF: 27 RMS: 0.10
# Min/Max residuals: -0.36 0.20
# Exact a, adot, b, bdot, g, gdot:
1.523966E-05 2.142493E-02 -9.363504E-07 -1.167190E-03 2.243801E-02 6.650552E-03
# Covariance matrix:
5.0612E-11 7.1263E-08 -6.8551E-14 3.3953E-11 1.1285E-08 -1.0309E-07
7.1263E-08 1.0074E-04 -9.6998E-11 4.8052E-08 1.5950E-05 -1.4748E-04
-6.8551E-14 -9.6998E-11 1.8003E-13 -7.5333E-12 -1.5353E-11 1.5017E-10
3.3953E-11 4.8052E-08 -7.5333E-12 6.5936E-10 7.6053E-09 -7.5195E-08
1.1285E-08 1.5950E-05 -1.5353E-11 7.6053E-09 2.5254E-06 -2.3271E-05
-1.0309E-07 -1.4748E-04 1.5017E-10 -7.5195E-08 -2.3271E-05 3.5875E-04
# lat0 lon0 xBary yBary zBary JD0
0.438433 178.763030 0.024235 0.007717 -0.991830 2457099.989744
# Heliocentric elements and errors
Epoch: 2457090.5000 = 2015/03/09
Mean Anomaly: 44.17930 +/- 57.667
Argument of Peri: 92.55666 +/- 146.261
Long of Asc Node: 6.58544 +/- 3.629
Inclination: 3.13568 +/- 1.443
Eccentricity: 0.33420237 +/- 0.7601
Semi-Major Axis: 54.39145846 +/- 28.1837
Time of Perihelion: 2439109.6246 +/- 18856.0
Perihelion: 36.21370397 +/- 45.4026
Aphelion: 72.56921295 +/- 55.8860
Period (y) 401.1477 +/- 311.79
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -45.54979443 +/- 3.1556
Ecliptic Y 1.00746441 +/- 0.0684
Ecliptic Z 0.34100503 +/- 0.0242
Ecliptic XDOT -0.00087222 +/- 0.0023
Ecliptic YDOT -0.00260186 +/- 0.0011
Ecliptic ZDOT -0.00013612 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.56221067 +/- 3.1547
Geocenter to KBO 44.56723945 +/- 3.1564
# Hcoef: 7.48
The following table shows the complete astrometric record for 15FZ399. 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 (15FZ399) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.488966 11 56 09.470 +00 53 39.38 23.7r 15FZ399 568 C~2TuJ 2015 03 18.512134 11 56 09.374 +00 53 39.95 23.7r 15FZ399 568 C~2TuJ 2015 03 18.518557 11 56 09.343 +00 53 40.13 23.6r 15FZ399 568 C~2TuJ 2015 03 18.547005 11 56 09.226 +00 53 40.88 23.7r 15FZ399 568 C~2TuJ 2015 03 18.575207 11 56 09.105 +00 53 41.64 23.7r 15FZ399 568 C~2TuJ 2015 03 20.437180 11 56 01.356 +00 54 30.76 23.6i 15FZ399 568 C~2TuJ 2015 03 20.471724 11 56 01.211 +00 54 31.65 23.5i 15FZ399 568 C~2TuJ 2015 03 20.505203 11 56 01.069 +00 54 32.53 23.6i 15FZ399 568 C~2TuJ 2015 03 20.551940 11 56 00.871 +00 54 33.77 23.5i 15FZ399 568 C~2TuJ 2015 03 25.46627 11 55 40.43 +00 56 43.2 25.1g 15FZ399 T09 C~8eRZ 2015 03 25.48926 11 55 40.31 +00 56 43.7 25.2g 15FZ399 T09 C~8eRZ 2015 03 25.52385 11 55 40.19 +00 56 44.3 25.3g 15FZ399 T09 C~8eRZ 2015 03 29.38774 11 55 24.28 +00 58 24.9 23.6y 15FZ399 T09 C~8eRZ 2015 03 29.41554 11 55 24.15 +00 58 25.8 23.9y 15FZ399 T09 C~8eRZ 2015 03 29.41824 11 55 24.14 +00 58 25.8 23.2y 15FZ399 T09 C~8eRZ 2015 03 29.42099 11 55 24.13 +00 58 25.8 23.6y 15FZ399 T09 C~8eRZ
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 -0.03 0.00 0.02
2 0.0001 -1.55 0.02 -0.05 -0.00
3 0.0001 -2.05 -0.04 -0.07 -0.01
4 0.0002 -3.95 0.01 -0.08 0.01
5 0.0002 -5.92 -0.02 -0.10 0.01
6 0.0053 -132.09 0.03 -1.26 0.01
7 0.0054 -134.44 0.06 -1.31 -0.00
8 0.0055 -136.74 0.06 -1.35 -0.00
9 0.0056 -139.96 0.05 -1.39 0.00
10 0.0191 -472.72 -0.09 -4.57 0.17
11 0.0192 -474.57 -0.36 -4.82 -0.06
12 0.0193 -476.46 0.11 -4.99 -0.18
13 0.0298 -735.41 0.20 -7.58 -0.01
14 0.0299 -737.56 -0.06 -7.53 0.07
15 0.0299 -737.69 -0.02 -7.59 0.02
16 0.0299 -737.83 0.03 -7.65 -0.04
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.
15FZ399 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