Orbital Analysis for matched events on 20211103_015724.948_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 121.75° Bg 26.75° Vg 63.51km/s
mass 0.00447g, abs. mag 1.2
best visual mag 1.8
Path Details
------------
start -1.13° 52.48° 107.75km
end   -1.26° 52.46° 96.07km

Orbit Details
-------------
Semimajor axis 4.21A.U., eccentricity 0.78, inclination 132.30°, Period 8.63Y, LA Sun 220.57°, last Perihelion 2013-04-08

Full details below
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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459521.581538761500
Time: 2021-11-03 01:57:24.948994 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003U and UK003X
 Convergence angle = 24.09198 deg
 R.A. = 132.68712  Dec = +45.80167 deg

Best intersection: Stations UK003U and UK003X with Qconv = 24.09 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1303161.43 +/- 250.18 m
 Y =   3737595.77 +/- 91.27 m
 Z =   5121009.28 +/- 330.72 m
 Vx =   -30249.79 +/- 286.08 m/s
 Vy =    33327.05 +/- 1519.28 m/s
 Vz =    46168.32 +/- 1366.19 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.924507e+04, -6.808154e+03, -2.609382e+04, +3.478880e+04, -5.541947e+03, -3.807394e+04
-6.808154e+03, +4.669954e+03, +1.137402e+04, -1.013902e+03, +1.991598e+03, +8.011786e+03
-2.609382e+04, +1.137402e+04, +3.878130e+04, -2.908782e+04, +8.119857e+03, +4.660484e+04
+3.478880e+04, -1.013902e+03, -2.908782e+04, +4.177609e+05, -4.743788e+04, -4.442826e+05
-5.541947e+03, +1.991598e+03, +8.119857e+03, -4.743788e+04, +1.942836e+04, +7.728587e+04
-3.807394e+04, +8.011786e+03, +4.660484e+04, -4.442826e+05, +7.728587e+04, +5.862743e+05

Timing offsets (from input data):
    UK003U: -0.005175 s
    UK003X: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 01:57:24.948994 UTC
  Lon     = +-1.128727 +/- 0.0038 deg
  Lat     = +52.480877 +/- 0.0018 deg
  Lat geo = +52.297913 +/- 0.0018 deg
  Ht      =  107674.38 +/- 261.91 m

  JD dynamic   = 2459521.582339502405 
  LST apparent = 70.7782256943 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 132.22892 +/- 1.0211 deg
  Dec       = +45.72895 +/- 0.3888 deg
  Azimuth   =  74.37519 +/- 1.0739 deg
  Elevation = +50.45357 +/- 0.4219 deg
  Vavg      =  62.19204 +/- 0.5860 km/s
  Vinit     =  64.47679 +/- 1.4838 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 132.40355 +/- 1.0211 deg
  Dec       = +45.56793 +/- 0.3888 deg
  Azimuth   =  74.48296 +/- 1.0739 deg
  Elevation = +50.26357 +/- 0.4219 deg
  Vavg      =  62.36943 +/- 0.5860 km/s
  Vinit     =  64.65417 +/- 1.4838 km/s
Radiant (geocentric, J2000):
  R.A.   = 132.23078 +/- 1.0119 deg
  Dec    = +45.64344 +/- 0.3966 deg
  Vg     =  63.51449 +/- 1.5059 km/s
  Vinf   =  64.47679 +/- 1.4838 km/s
  Zc     =  39.59603 +/- 0.4248 deg
  Zg     =  39.90617 +/- 0.4160 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 121.74982 +/- 0.6371 deg
  Bg     = +26.75076 +/- 0.5745 deg
  Vh     =  39.71774 +/- 1.5455 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 111.22866 +/- 1.6432 deg
  Bh     = +46.03764 +/- 0.3315 deg
  Vh_x   =   9.98339 +/- 1.0777 km/s
  Vh_y   = -25.70056 +/- 0.6000 km/s
  Vh_z   = -28.58867 +/- 1.2519 km/s
Orbit:
  La Sun = 220.567963 +/- -0.0000 deg
  a      =   4.207788 +/- 17.2963 AU
  e      =   0.778466 +/- 0.1295
  i      = 132.301897 +/- 0.2152 deg
  peri   = 210.468168 +/- 5.0598 deg
  node   = 220.569984 +/- 0.0000 deg
  Pi     =  71.038152 +/- 5.0598 deg
  q      =   0.932167 +/- 0.0144 AU
  f      = 329.532953 +/- 5.0598 deg
  M      = 357.515346 +/- nan deg
  Q      =   7.483409 +/- 34.6005 AU
  n      =   0.114189 +/- 0.0784 deg/day
  T      =   8.631403 +/- nan years
  Last perihelion JD = 2456390.666588 (2013-04-08 03:59:53.245809) +/- 4882.9121 days
  Tj     =   0.477089 +/- 0.7665
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.275445e-03, +6.153700e-04, -2.398093e+02, +2.040250e-07, -2.184824e-01, +7.748232e-03
q   , +6.153700e-04, +8.148705e-05, -2.684312e+01, +3.442435e-08, -2.792688e-02, +1.308210e-03
Tp  , -2.398093e+02, -2.684312e+01, +1.519251e+07, -8.087713e-03, +9.464502e+03, -3.066361e+02
node, +2.040250e-07, +3.442435e-08, -8.087713e-03, +3.118644e-11, -1.114280e-05, +1.184362e-06
peri, -2.184824e-01, -2.792688e-02, +9.464502e+03, -1.114280e-05, +9.672436e+00, -4.234316e-01
i   , +7.748232e-03, +1.308210e-03, -3.066361e+02, +1.184362e-06, -4.234316e-01, +4.497944e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK003X
  Avg. res. = 1.505e-06 s
  Stddev    = 1.23e-03 s

Begin point on the trajectory:
  Lon =    -1.127805 +/- 0.0032 deg
  Lat =    52.481035 +/- 0.0017 deg
  Ht  = 107754.43 +/- 209.08 m
End point on the trajectory:
  Lon =    -1.263561 +/- 0.0023 deg
  Lat =    52.457939 +/- 0.0014 deg
  Ht  = 96069.10 +/- 157.63 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK003U,   False,    -1.740490,    53.069201,  240.00,   0.000000,   0.000000,   106461.25,    96900.59,          0.018128,      1.68,     40.66,              43.07, 1.0000,    True,    True, {"ff_name": "FF_UK003U_20211103_015719_553_0790272.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.000000,   0.000000,   107754.43,    96069.10,          0.020529,     24.59,     51.77,              22.36, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20211103_015724_733_0782336.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK003U,       0,  0.031418, 2459521.581539169420,  89.60392,  19.76818,              148.25464,  53.47242,       148.23027,       53.44391,     89.60392,     +19.76818,      89.62876,      +19.74621,  1303899.55,  3736782.56,  5119882.74,      52.478492,       -1.142840,  106461.25,  131643.14,       0.00,             1573.29,    62.88,      0.00,           62462.05,     73.44,     -3.02,         115.16,  +2.41,  +1.81
  1,     UK003U,       0,  0.071762, 2459521.581539636478,  89.01485,  19.15823,              149.46775,  53.07956,       149.45633,       53.06665,     89.01485,     +19.15823,      89.02645,      +19.14823,  1305167.77,  3735385.33,  5117947.13,      52.474387,       -1.167013,  104377.23,  129691.75,    2703.19,             4276.48,   164.82,  67003.53,           62462.05,     33.06,     -1.37,          52.63,  +3.22,  +2.66
  2,     UK003U,       0,  0.112062, 2459521.581540102605,  88.51729,  18.62889,              150.48665,  52.72723,       150.49227,       52.73341,     88.51729,     +18.62889,      88.51233,      +18.63370,  1306226.49,  3734218.91,  5116331.28,      52.470955,       -1.187229,  102637.82,  128083.30,    4959.82,             6533.11,  -176.97,  55995.73,           62462.05,    -15.75,      0.66,          25.39,  +1.79,  +1.25
  3,     UK003U,       0,  0.152398, 2459521.581540569663,  87.88321,  18.00753,              151.74087,  52.31966,       151.73530,       52.31371,     87.88321,     +18.00753,      87.88915,      +18.00287,  1307485.54,  3732831.78,  5114409.67,      52.466866,       -1.211248,  100569.67,  126197.28,    7643.46,             9216.75,   -94.05,  66532.29,           62462.05,     15.08,     -0.62,          24.66,  +1.82,  +1.31
  4,     UK003U,       0,  0.192794, 2459521.581541037187,  87.21080,  17.28455,              153.08125,  51.81529,       153.09512,       51.82964,     87.21080,     +17.28455,      87.19873,      +17.29587,  1308849.13,  3731329.47,  5112328.51,      52.462429,       -1.237260,   98330.30,  124188.36,   10549.93,            12123.22,   207.81,  71949.31,           64554.55,    -36.21,      1.51,          60.19,  +2.04,  +1.57
  5,     UK003U,       0,  0.233018, 2459521.581541502848,  86.73156,  16.84407,              153.98929,  51.52076,       153.97338,       51.50462,     86.73156,     +16.84407,      86.74714,      +16.83128,  1309719.86,  3730370.17,  5110999.58,      52.459592,       -1.253937,   96900.59,  122923.37,   12405.86,            13979.15,  -529.78,  46139.90,           62528.77,     40.59,     -1.67,          68.16,  +3.60,  +3.15
  0,     UK003X,       0,  0.000000, 2459521.581538761500, 163.05865,  58.59360,               43.18252,  40.53086,        43.20427,       40.50573,    163.05865,     +58.59360,     163.07946,      +58.56555,  1303112.73,  3737649.43,  5121083.61,      52.481035,       -1.127805,  107754.43,  163851.68,       0.00,              103.80,   619.12,      0.00,           60556.52,     77.63,    -37.04,         108.28,  +4.00,  +2.93
  1,     UK003X,       0,  0.040200, 2459521.581539226696, 163.64267,  58.67264,               42.86543,  40.32986,        42.86005,       40.33602,    163.64267,     +58.67264,     163.63784,      +58.67956,  1304185.64,  3736467.37,  5119446.09,      52.477566,       -1.148275,  105991.09,  161736.09,    2286.89,             2183.09,   106.44,  56887.91,           60556.52,    -18.85,      8.96,          26.62,  +3.14,  +2.10
  2,     UK003X,       0,  0.080412, 2459521.581539692357, 164.29080,  58.76796,               42.50564,  40.11338,        42.47781,       40.14500,    164.29080,     +58.76796,     164.26602,      +58.80378,  1305352.28,  3735182.06,  5117665.54,      52.473789,       -1.170526,  104074.08,  159441.82,    4773.55,             4669.74,     0.35,  61838.54,           60556.52,    -95.85,     45.41,         137.21,  +2.63,  +1.62
  3,     UK003X,       0,  0.120588, 2459521.581540157087, 164.92300,  58.93010,               42.08236,  39.94548,        42.08273,       39.94506,    164.92300,     +58.93010,     164.92383,      +58.92962,  1306530.65,  3733883.81,  5115867.06,      52.469967,       -1.193009,  102138.16,  157130.70,    7285.22,             7181.42,   -78.39,  62516.81,           60556.52,      1.25,     -0.59,           1.82,  +2.18,  +1.20
  4,     UK003X,       0,  0.160828, 2459521.581540622748, 165.68224,  59.04528,               41.65848,  39.69993,        41.64184,       39.71860,    165.68224,     +59.04528,     165.66870,      +59.06671,  1307814.91,  3732468.90,  5113906.98,      52.465795,       -1.217508,  100028.72,  154619.80,   10022.59,             9918.79,    64.44,  68026.20,           62290.72,    -55.19,     26.21,          81.50,  +2.27,  +1.32
  5,     UK003X,       0,  0.201032, 2459521.581541088410, 166.38599,  59.18882,               41.22794,  39.49736,        41.22424,       39.50149,    166.38599,     +59.18882,     166.38376,      +59.19358,  1309000.67,  3731162.51,  5112097.22,      52.461936,       -1.240151,   98081.46,  152308.18,   12550.03,            12446.22,    -0.35,  62865.15,           62868.03,    -12.03,      5.73,          18.05,  +2.44,  +1.53
  6,     UK003X,       0,  0.241260, 2459521.581541554071, 167.15068,  59.32444,               40.78202,  39.26843,        40.78210,       39.26834,    167.15068,     +59.32444,     167.15176,      +59.32434,  1310226.33,  3729812.17,  5110226.58,      52.457939,       -1.263561,   96069.10,  149926.55,   15162.49,            15058.69,    18.34,  64941.38,           63296.46,      0.26,     -0.12,           0.39,  +3.34,  +2.46

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.