Orbital Analysis for matched events on 20211103_030439.567_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 137.20° Bg 40.61° Vg 60.83km/s
mass 0.00514g, abs. mag 1.3
best visual mag 1.9
Path Details
------------
start -0.41° 52.24° 107.05km
end   -0.55° 52.19° 94.37km

Orbit Details
-------------
Semimajor axis -16.49A.U., eccentricity 1.06, inclination 111.81°, Period nanY, LA Sun 220.61°, 

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: 2459521.628235735931
Time: 2021-11-03 03:04:39.567584 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK003G
 Convergence angle = 61.62951 deg
 R.A. = 158.27714  Dec = +53.16671 deg

Best intersection: Stations UK002F and UK003G with Qconv = 61.63 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    114505.97 +/- 368.93 m
 Y =   3977673.51 +/- 185.64 m
 Z =   5103653.92 +/- 555.70 m
 Vx =   -34360.57 +/- 605.15 m/s
 Vy =    13345.19 +/- 637.75 m/s
 Vz =    49642.86 +/- 1145.76 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK003G: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 03:04:39.567584 UTC
  Lon     = +-0.412817 +/- 0.0054 deg
  Lat     = +52.239831 +/- 0.0019 deg
  Lat geo = +52.056441 +/- 0.0019 deg
  Ht      =  106792.45 +/- 542.02 m

  JD dynamic   = 2459521.629036476836 
  LST apparent = 88.3510720033 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 158.77449 +/- 0.5496 deg
  Dec       = +53.40515 +/- 0.1445 deg
  Azimuth   =  59.28365 +/- 0.3771 deg
  Elevation = +49.20512 +/- 0.2651 deg
  Vavg      =  61.76977 +/- 0.5841 km/s
  Vinit     =  61.83168 +/- 1.3111 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 158.92451 +/- 0.5496 deg
  Dec       = +53.20219 +/- 0.1445 deg
  Azimuth   =  59.49257 +/- 0.3771 deg
  Elevation = +49.03038 +/- 0.2651 deg
  Vavg      =  61.93323 +/- 0.5841 km/s
  Vinit     =  61.99513 +/- 1.3111 km/s
Radiant (geocentric, J2000):
  R.A.   = 158.95377 +/- 0.5661 deg
  Dec    = +53.35482 +/- 0.1444 deg
  Vg     =  60.82743 +/- 1.3310 km/s
  Vinf   =  61.83168 +/- 1.3111 km/s
  Zc     =  40.88881 +/- 0.2660 deg
  Zg     =  41.23854 +/- 0.2772 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 137.20180 +/- 0.3556 deg
  Bg     = +40.60891 +/- 0.2489 deg
  Vh     =  42.92042 +/- 1.1457 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 147.67346 +/- 1.3358 deg
  Bh     = +67.28792 +/- 0.8428 deg
  Vh_x   =  14.00324 +/- 0.6566 km/s
  Vh_y   =  -8.86156 +/- 0.9309 km/s
  Vh_z   = -39.59223 +/- 0.7990 km/s
Orbit:
  La Sun = 220.614738 +/- -0.0000 deg
  a      = -16.488179 +/- 3.3961 AU
  e      =   1.059421 +/- 0.1149
  i      = 111.808644 +/- 0.9423 deg
  peri   = 167.359826 +/- 0.9923 deg
  node   = 220.616717 +/- 0.0000 deg
  Pi     =  27.976542 +/- 0.9923 deg
  q      =   0.979743 +/- 0.0015 AU
  f      =  12.641116 +/- 0.9923 deg
  M      =        nan +/- nan deg
  Q      = -33.956101 +/- 6.7911 AU
  n      =   0.014721 +/- 0.0906 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -0.778280 +/- 0.6380
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

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: UK002F
  Avg. res. = 1.339e-05 s
  Stddev    = 3.66e-03 s

Begin point on the trajectory:
  Lon =    -0.410057 +/- 0.0027 deg
  Lat =    52.240837 +/- 0.0007 deg
  Ht  = 107050.80 +/- 295.56 m
End point on the trajectory:
  Lon =    -0.546889 +/- 0.0019 deg
  Lat =    52.191228 +/- 0.0005 deg
  Ht  = 94369.99 +/- 228.02 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   107050.80,    94369.99,          0.030002,     37.52,     52.18,               6.34, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20211103_030433_475_0866048.fits"}
    UK003G,   False,    -1.802002,    51.351948,  130.00,  99.444817,   0.000000,   106534.68,    96882.26,          0.008185,     10.33,     22.05,              15.69, 1.0000,    True,    True, {"ff_name": "FF_UK003G_20211103_030439_591_0885504.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,     UK002F,       0,  0.000000, 2459521.628235735931, 149.02741,  56.97786,               56.81466,  55.06604,        56.71575,       55.05594,    149.02741,     +56.97786,     149.07794,      +57.02835,   114316.34,  3977747.16,  5103927.89,      52.240837,       -0.410057,  107050.80,  129976.32,       0.00,              341.24,  1174.58,      0.00,           59397.51,   -106.51,    -75.44,         207.13,  +4.31,  +3.74
  1,     UK002F,       0,  0.039928, 2459521.628236197866, 148.92164,  57.09308,               56.65545,  55.15711,        56.67797,       55.15957,    148.92164,     +57.09308,     148.90992,      +57.08164,   115415.11,  3977320.41,  5102340.43,      52.235003,       -0.426216,  105553.98,  128006.92,    1977.23,             1635.99,     0.52,  49519.94,           59397.51,     23.71,     17.17,          47.17,  +2.49,  +1.95
  2,     UK002F,       0,  0.079816, 2459521.628236659802, 148.69116,  57.13843,               56.64863,  55.29016,        56.63150,       55.28832,    148.69116,     +57.13843,     148.70017,      +57.14713,   116742.75,  3976804.77,  5100422.29,      52.227947,       -0.445710,  103745.71,  125629.01,    4366.33,             4025.09,   -76.73,  59895.09,           59397.51,    -17.66,    -12.71,          35.73,  +2.29,  +1.79
  3,     UK002F,       0,  0.119692, 2459521.628237121273, 148.44766,  57.22260,               56.57963,  55.44169,        56.57642,       55.44135,    148.44766,     +57.22260,     148.44967,      +57.22423,   118263.53,  3976214.12,  5098225.13,      52.219857,       -0.468021,  101674.84,  122906.83,    7102.96,             6761.72,   194.30,  68628.52,           59397.51,     -3.22,     -2.32,           6.66,  +2.33,  +1.88
  4,     UK002F,       0,  0.159600, 2459521.628237583209, 148.27078,  57.27980,               56.53511,  55.55028,        56.53568,       55.55034,    148.27078,     +57.27980,     148.27102,      +57.27951,   119295.72,  3975813.23,  5096733.86,      52.214360,       -0.483221,  100269.54,  121057.99,    8960.38,             8619.14,  -415.86,  46542.61,           57765.20,      0.56,      0.40,           1.18,  +2.45,  +2.04
  5,     UK002F,       0,  0.199444, 2459521.628238044214, 147.94938,  57.35586,               56.49935,  55.73869,        56.46854,       55.73539,    147.94938,     +57.35586,     147.96554,      +57.37143,   121001.87,  3975150.59,  5094268.87,      52.205265,       -0.508243,   97947.17,  118006.55,   12030.59,            11689.36,   190.74,  77055.85,           60050.87,    -29.51,    -21.24,          63.56,  +1.85,  +1.49
  6,     UK002F,       0,  0.239340, 2459521.628238506150, 147.77348,  57.48466,               56.33050,  55.86736,        56.41560,       55.87699,    147.77348,     +57.48466,     147.73108,      +57.44188,   122241.20,  3974669.25,  5092478.34,      52.198651,       -0.526469,   96260.60,  115789.36,   14260.75,            13919.52,   -45.94,  55899.31,           60422.80,     79.37,     58.21,         175.34,  +2.20,  +1.88
  7,     UK002F,       0,  0.279200, 2459521.628238967620, 147.48266,  57.55000,               56.30037,  56.03581,        56.35399,       56.04181,    147.48266,     +57.55000,     147.45682,      +57.52307,   123630.73,  3974129.57,  5090470.80,      52.191228,       -0.546889,   94369.99,  113305.01,   16761.21,            16419.97,   -10.10,  62730.98,           60769.98,     48.79,     35.62,         109.97,  +5.11,  +4.84
  0,     UK003G,       0,  0.026644, 2459521.628236104734, 184.97316,  56.20025,               43.54731,  36.91140,        43.56082,       36.90270,    184.97316,     +56.20025,     184.97296,      +56.18638,   114695.18,  3977600.02,  5103380.55,      52.238826,       -0.415704,  106534.68,  174699.77,       0.00,              340.49,  -473.62,      0.00,           66887.23,     38.29,    -17.94,          49.92,  +3.89,  +2.68
  1,     UK003G,       0,  0.066824, 2459521.628236569930, 185.39932,  56.18813,               43.37078,  36.72063,        43.37215,       36.71975,    185.39932,     +56.18813,     185.39945,      +56.18673,   116196.84,  3977016.80,  5101211.01,      52.230849,       -0.437730,  104489.20,  172087.84,    2702.23,             3042.72,  -255.79,  67253.10,           66887.23,      3.81,     -1.78,           5.04,  +2.39,  +1.21
  2,     UK003G,       0,  0.107008, 2459521.628237034660, 185.85787,  56.18842,               43.16737,  36.52453,        43.17038,       36.52259,    185.85787,     +56.18842,     185.85809,      +56.18532,   117762.60,  3976408.68,  5098948.86,      52.222523,       -0.460695,  102356.91,  169367.93,    5519.80,             5860.30,    77.14,  70116.80,           66887.23,      8.30,     -3.89,          11.16,  +2.26,  +1.12
  3,     UK003G,       0,  0.147176, 2459521.628237499855, 186.27753,  56.19542,               42.97430,  36.35003,        42.98643,       36.34224,    186.27753,     +56.19542,     186.27744,      +56.18293,   119151.31,  3975869.32,  5096942.51,      52.215129,       -0.481087,  100466.15,  166957.73,    8018.78,             8359.27,    92.46,  62213.02,           66887.23,     32.96,    -15.46,          44.98,  +2.10,  +0.99
  4,     UK003G,       0,  0.187352, 2459521.628237964585, 186.68925,  56.17491,               42.81033,  36.16179,        42.80605,       36.16453,    186.68925,     +56.17491,     186.69018,      +56.17932,   120480.11,  3975353.23,  5095022.70,      52.208047,       -0.500612,   98657.32,  164653.89,   10409.95,            10750.45,    -0.52,  59517.53,           65053.70,    -11.48,      5.38,          15.89,  +2.16,  +1.08
  5,     UK003G,       0,  0.227520, 2459521.628238429781, 187.10544,  56.16962,               42.62938,  35.98202,        42.62478,       35.98496,    187.10544,     +56.16962,     187.10661,      +56.17436,   121784.36,  3974846.68,  5093138.37,      52.201089,       -0.519784,   96882.26,  162395.14,   12756.94,            13097.44,  -137.18,  58429.39,           63583.69,    -12.18,      5.70,          17.08,  +2.80,  +1.75

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.