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: 19EX7
# Created Wed Jul 17 01:11:38 2024
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 33.01d
# First observation: 2019/03/03
# Last observation: 2019/04/05
Preliminary a, adot, b, bdot, g, gdot:
-0.000001 0.016351 0.000001 -0.003072 0.024409 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 7.64 DOF: 19 RMS: 0.14
# Min/Max residuals: -0.24 0.31
# Exact a, adot, b, bdot, g, gdot:
9.519837E-06 1.648924E-02 -1.468202E-06 -3.073157E-03 2.443348E-02 1.767754E-02
# Covariance matrix:
6.9564E-11 1.0768E-07 -8.2278E-13 -8.5668E-10 1.7271E-08 -5.0266E-08
1.0768E-07 1.6756E-04 -1.2803E-09 -1.3330E-06 2.6875E-05 -7.8369E-05
-8.2278E-13 -1.2803E-09 3.7224E-13 6.0907E-12 -2.0536E-10 5.8872E-10
-8.5668E-10 -1.3330E-06 6.0907E-12 1.0679E-08 -2.1383E-07 6.0829E-07
1.7271E-08 2.6875E-05 -2.0536E-10 -2.1383E-07 4.3108E-06 -1.2457E-05
-5.0266E-08 -7.8369E-05 5.8872E-10 6.0829E-07 -1.2457E-05 9.5354E-05
# lat0 lon0 xBary yBary zBary JD0
4.328047 -176.157086 0.369576 0.069737 -0.921004 2458546.072211
# Heliocentric elements and errors
Epoch: 2458540.5000 = 2019/02/26
Mean Anomaly: 44.83132 +/- 38.085
Argument of Peri: 24.46684 +/- 29.490
Long of Asc Node: 25.43600 +/- 14.721
Inclination: 11.13317 +/- 6.912
Eccentricity: 0.71887846 +/- 0.4141
Semi-Major Axis: 44.09639301 +/- 22.2100
Time of Perihelion: 2445221.1787 +/- 5173.7
Perihelion: 12.39644576 +/- 19.2994
Aphelion: 75.79634027 +/- 42.3191
Period (y) 292.8281 +/- 221.23
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -41.66403845 +/- 3.4601
Ecliptic Y -2.43626627 +/- 0.2321
Ecliptic Z 3.08861704 +/- 0.2625
Ecliptic XDOT -0.00186467 +/- 0.0013
Ecliptic YDOT -0.00197903 +/- 0.0012
Ecliptic ZDOT -0.00019410 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 41.84933750 +/- 3.4449
Geocenter to KBO 40.92745066 +/- 3.4778
# Hcoef: 8.47
The following table shows the complete astrometric record for 19EX7. 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 (19EX7) followed by the observatory code and reference code for the source of the astrometry.
2019 03 03.57141 12 20 58.84 +02 26 41.1 24.1z 19EX7 T09 C~85K8 2019 03 03.57408 12 20 58.82 +02 26 41.6 23.8z 19EX7 T09 C~85K9 2019 03 03.62777 12 20 58.57 +02 26 43.0 23.5z 19EX7 T09 C~85K9 2019 03 03.64387 12 20 58.50 +02 26 43.3 24.3z 19EX7 T09 C~85K9 2019 04 04.45230 12 18 29.35 +02 42 15.1 25.5g 19EX7 T09 C~85K9 2019 04 04.46143 12 18 29.31 +02 42 15.4 25.4g 19EX7 T09 C~85K9 2019 04 04.48459 12 18 29.20 +02 42 16.3 25.2g 19EX7 T09 C~85K9 2019 04 04.49722 12 18 29.12 +02 42 16.6 24.9g 19EX7 T09 C~85K9 2019 04 05.52450 12 18 24.28 +02 42 44.9 25.0r 19EX7 T09 C~85K9 2019 04 05.52660 12 18 24.29 +02 42 44.5 25.5r 19EX7 T09 C~85K9 2019 04 05.54754 12 18 24.17 +02 42 45.2 24.8r 19EX7 T09 C~85K9 2019 04 05.57896 12 18 24.02 +02 42 46.2 24.5r 19EX7 T09 C~85K9
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 0.24 0.00 -0.11
2 0.0000 -0.47 -0.04 0.34 0.23
3 0.0002 -4.47 -0.14 0.14 0.01
4 0.0002 -5.55 -0.05 -0.01 -0.14
5 0.0873 -2426.90 0.06 -32.14 -0.12
6 0.0873 -2427.57 0.10 -32.10 -0.06
7 0.0874 -2429.44 0.01 -31.93 0.19
8 0.0874 -2430.66 -0.24 -32.13 0.03
9 0.0902 -2508.47 -0.15 -34.92 0.18
10 0.0902 -2508.17 0.31 -35.23 -0.12
11 0.0903 -2510.10 -0.02 -35.30 -0.12
12 0.0904 -2512.56 -0.08 -35.28 0.01
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.