Orbital Analysis for matched events on 20211015_235811.091_UK

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Summary for Event
-----------------
shower ID 2 STA
Lg 31.70° Bg -4.49° Vg 24.65km/s
mass 0.03838g, abs. mag 0.8
best visual mag 1.5
Path Details
------------
start -1.22° 54.66° 85.68km
end   -1.24° 54.70° 81.59km

Orbit Details
-------------
Semimajor axis 1.81A.U., eccentricity 0.76, inclination 4.24°, Period 2.44Y, LA Sun 202.55°, last Perihelion 2019-06-22

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: 2459503.498739488889
Time: 2021-10-15 23:58:11.091840 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000P and UK002X
 Convergence angle = 0.29650 deg
 R.A. = 266.38421  Dec = -19.24135 deg
Intersection 2 - Stations: UK000P and UK004B
 Convergence angle = 89.73551 deg
 R.A. =  33.29568  Dec =  +9.50962 deg
Intersection 3 - Stations: UK002X and UK004B
 Convergence angle = 89.91747 deg
 R.A. =  33.22714  Dec =  +9.73376 deg

Best intersection: Stations UK002X and UK004B with Qconv = 89.92 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3447803.14 +/- 28.60 m
 Y =   1467313.77 +/- 45.79 m
 Z =   5249576.46 +/- 35.07 m
 Vx =    22781.99 +/- 328.03 m/s
 Vy =    13761.46 +/- 370.43 m/s
 Vz =     4753.37 +/- 318.13 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.666220e+02, -1.348594e+02, -1.023925e+02, -1.486449e+02, -4.624464e+03, -6.932278e+01
-1.348594e+02, +2.348282e+03, +1.916899e+02, -1.674662e+02, +1.572937e+04, +3.593229e+02
-1.023925e+02, +1.916899e+02, +1.295196e+03, -5.311603e+02, +9.242441e+02, +9.464865e+03
-1.486449e+02, -1.674662e+02, -5.311603e+02, +6.790332e+02, -8.824432e+02, -4.068822e+03
-4.624464e+03, +1.572937e+04, +9.242441e+02, -8.824432e+02, +1.637421e+05, -1.095010e+04
-6.932278e+01, +3.593229e+02, +9.464865e+03, -4.068822e+03, -1.095010e+04, +8.500631e+04

Timing offsets (from input data):
    UK000P: 0.000103 s
    UK002X: 0.000040 s
    UK004B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-10-15 23:58:11.091840 UTC
  Lon     = +-1.222490 +/- 0.0007 deg
  Lat     = +54.660857 +/- 0.0003 deg
  Lat geo = +54.481487 +/- 0.0003 deg
  Ht      =   85687.50 +/- 33.13 m

  JD dynamic   = 2459503.499540229794 
  LST apparent = 23.0536013858 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  31.13407 +/- 0.6799 deg
  Dec       = +10.12584 +/- 0.6129 deg
  Azimuth   = 168.71391 +/- 0.9196 deg
  Elevation = +45.00502 +/- 0.6317 deg
  Vavg      =  26.60165 +/- 0.2043 km/s
  Vinit     =  27.03685 +/- 0.1914 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  31.71558 +/- 0.6799 deg
  Dec       = +10.11105 +/- 0.6129 deg
  Azimuth   = 167.91308 +/- 0.9196 deg
  Elevation = +44.92219 +/- 0.6317 deg
  Vavg      =  26.64081 +/- 0.2043 km/s
  Vinit     =  27.07602 +/- 0.1914 km/s
Radiant (geocentric, J2000):
  R.A.   =  31.10185 +/- 0.6965 deg
  Dec    =  +7.85042 +/- 0.6448 deg
  Vg     =  24.64532 +/- 0.2093 km/s
  Vinf   =  27.03685 +/- 0.1914 km/s
  Zc     =  44.81909 +/- 0.6318 deg
  Zg     =  47.00543 +/- 0.6601 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  31.69767 +/- 0.6535 deg
  Bg     =  -4.48622 +/- 0.6834 deg
  Vh     =  35.92324 +/- 0.1220 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 336.19400 +/- 0.5259 deg
  Bh     =  -3.07428 +/- 0.4916 deg
  Vh_x   = -32.81950 +/- 0.0269 km/s
  Vh_y   =  14.47923 +/- 0.3488 km/s
  Vh_z   =   1.92658 +/- 0.3051 km/s
Orbit:
  La Sun = 202.551542 +/- -0.0000 deg
  a      =   1.813640 +/- 0.0299 AU
  e      =   0.762491 +/- 0.0022
  i      =   4.244996 +/- 0.7043 deg
  peri   = 108.234915 +/- 1.3625 deg
  node   =  22.544998 +/- 0.0011 deg
  Pi     = 130.779913 +/- 1.3627 deg
  q      =   0.430755 +/- 0.0105 AU
  f      = 251.772353 +/- 1.3627 deg
  M      = 341.451718 +/- 0.4672 deg
  Q      =   3.196524 +/- 0.0496 AU
  n      =   0.403532 +/- 0.0110 deg/day
  T      =   2.442458 +/- 0.0594 years
  Last perihelion JD = 2458657.341116 (2019-06-22 20:11:12.383532) +/- 21.6113 days
  Tj     =   3.631307 +/- 0.0420
Shower association:
  IAU No.  =    2
  IAU code =  STA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.989264e-06, -2.653723e-05, +4.952310e-02, +1.091999e-06, +3.389980e-03, +7.927889e-04
q   , -2.653723e-05, +1.274545e-04, -2.503868e-01, -2.821505e-06, -1.643101e-02, -2.240369e-03
Tp  , +4.952310e-02, -2.503868e-01, +5.065928e+02, +2.751367e-03, +3.245484e+01, +2.591265e+00
node, +1.091999e-06, -2.821505e-06, +2.751367e-03, +1.153516e-06, +3.314959e-04, +7.571901e-04
peri, +3.389980e-03, -1.643101e-02, +3.245484e+01, +3.314959e-04, +2.120351e+00, +2.677651e-01
i   , +7.927889e-04, -2.240369e-03, +2.591265e+00, +7.571901e-04, +2.677651e-01, +5.124744e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.263116
 a2 = 15.640079

Mean time residuals from time vs. length:
  Station with reference time: UK004B
  Avg. res. = 1.604e-06 s
  Stddev    = 1.27e-03 s

Begin point on the trajectory:
  Lon =    -1.222507 +/- 0.0006 deg
  Lat =    54.660906 +/- 0.0003 deg
  Ht  = 85681.92 +/- 19.49 m
End point on the trajectory:
  Lon =    -1.235610 +/- 0.0007 deg
  Lat =    54.696475 +/- 0.0003 deg
  Ht  = 81592.96 +/- 30.14 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
    UK000P,   False,    -3.059440,    54.994170,   18.00,   0.757377,  21.701747,    85525.13,    81802.09,          0.010114,     25.66,      5.98,              43.95, 0.4817,    True,    True, {"ff_name": "FF_UK000P_20211015_235809_961_0553472.fits"}
    UK002X,   False,    -3.059440,    54.994170,   18.00,   2.981549,   0.000000,    85457.02,    81592.96,          0.023305,     58.79,     13.70,              43.95, 0.4817,    True,    True, {"ff_name": "FF_UK002X_20211015_235809_790_0173312.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,   0.000000,   0.000000,    85681.92,    81928.80,          0.022704,     64.24,      2.16,             102.21, 0.9553,    True,    True, {"ff_name": "FF_UK004B_20211015_235805_337_0566528.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,     UK000P,       0,  0.004849, 2459503.498739536386,  78.29946,  18.70653,              106.63875,  33.91582,       106.63125,       33.92591,     78.29946,     +18.70653,      78.29863,      +18.71836,  3447609.66,  1467196.91,  5249536.09,      54.662269,       -1.222993,   85525.13,  151025.74,       0.00,              229.61,   116.60,      0.00,           26472.58,     -7.09,     30.43,          42.68,  +1.94,  +1.04
  1,     UK000P,       0,  0.045049, 2459503.498740001582,  78.56805,  18.72917,              106.37355,  33.78653,       106.36892,       33.79273,     78.56805,     +18.72917,      78.56772,      +18.73646,  3446822.18,  1466721.23,  5249371.79,      54.668013,       -1.225139,   84864.27,  150373.54,     934.56,             1164.16,   -35.72,  23247.66,           26472.58,     -4.35,     18.67,          26.29,  +1.69,  +0.80
  2,     UK000P,       0,  0.085293, 2459503.498740467243,  78.89077,  18.76161,              106.05205,  33.63513,       106.05467,       33.63163,     78.89077,     +18.76161,      78.89139,      +18.75748,  3445885.40,  1466155.36,  5249176.33,      54.674849,       -1.227662,   84078.20,  149603.23,    2046.30,             2275.90,   -12.05,  27624.98,           26472.58,      2.45,    -10.50,          14.87,  +1.55,  +0.68
  3,     UK000P,       0,  0.125557, 2459503.498740933370,  79.22562,  18.76121,              105.74317,  33.45007,       105.73209,       33.46477,     79.22562,     +18.76121,      79.22500,      +18.77854,  3444930.16,  1465578.35,  5248977.02,      54.681821,       -1.230232,   83276.73,  148822.38,    3179.94,             3409.54,    32.98,  28155.25,           26472.58,    -10.24,     43.92,          62.50,  +1.47,  +0.61
  4,     UK000P,       0,  0.165773, 2459503.498741399031,  79.51703,  18.79420,              105.45179,  33.31585,       105.45021,       33.31794,     79.51703,     +18.79420,      79.51756,      +18.79668,  3444099.98,  1465076.88,  5248803.81,      54.687881,       -1.232489,   82580.24,  148146.34,    4165.16,             4394.77,   -69.11,  24498.35,           26284.67,     -1.45,      6.24,           8.92,  +1.50,  +0.65
  5,     UK000P,       0,  0.206029, 2459503.498741864692,  79.84771,  18.80672,              105.13941,  33.14302,       105.13315,       33.15126,     79.84771,     +18.80672,      79.84796,      +18.81646,  3443172.36,  1464516.56,  5248610.27,      54.694654,       -1.234993,   81802.09,  147396.12,    5266.03,             5495.63,   -56.64,  27346.61,           26382.76,     -5.70,     24.45,          35.14,  +4.00,  +3.16
  0,     UK002X,       0,  0.012658, 2459503.498739517760,  78.32553,  18.73508,              106.59455,  33.92474,       106.60406,       33.91194,     78.32553,     +18.73508,      78.32659,      +18.72008,  3447528.51,  1467147.88,  5249519.16,      54.662861,       -1.223190,   85457.02,  150959.61,       0.00,              325.92,     1.81,      0.00,           26738.38,      8.99,    -38.57,          54.12,  +1.92,  +1.03
  1,     UK002X,       0,  0.052718, 2459503.498739981558,  78.63152,  18.75474,              106.29683,  33.77239,       106.30593,       33.76019,     78.63152,     +18.75474,      78.63267,      +18.74042,  3446635.05,  1466608.19,  5249332.74,      54.669379,       -1.225602,   84707.24,  150221.41,    1060.32,             1386.24,   -20.97,  26468.36,           26738.38,      8.54,    -36.65,          51.68,  +2.01,  +1.13
  2,     UK002X,       0,  0.092774, 2459503.498740444891,  78.94604,  18.78589,              105.98397,  33.62440,       105.99995,       33.60310,     78.94604,     +18.78589,      78.94806,      +18.76083,  3445723.88,  1466057.80,  5249142.63,      54.676028,       -1.228060,   83942.68,  149472.75,    2141.67,             2467.59,   -22.61,  26995.86,           26738.38,     14.87,    -63.81,          90.41,  +1.98,  +1.11
  3,     UK002X,       0,  0.132838, 2459503.498740908690,  79.26072,  18.80464,              105.68045,  33.46596,       105.69576,       33.44563,     79.26072,     +18.80464,      79.26279,      +18.78068,  3444823.69,  1465514.04,  5248954.81,      54.682598,       -1.230491,   83187.40,  148737.04,    3209.98,             3535.90,   -37.50,  26665.15,           26738.38,     14.15,    -60.69,          86.42,  +1.78,  +0.92
  4,     UK002X,       0,  0.172910, 2459503.498741372488,  79.59789,  18.81484,              105.36304,  33.28787,       105.37175,       33.27637,     79.59789,     +18.81484,      79.59942,      +18.80124,  3443871.21,  1464938.69,  5248756.08,      54.689551,       -1.233055,   82388.33,  147963.54,    4340.35,             4666.27,     9.44,  28208.35,           27033.72,      7.98,    -34.24,          49.02,  +2.34,  +1.49
  5,     UK002X,       0,  0.212958, 2459503.498741835821,  79.93494,  18.85913,              105.02282,  33.13721,       105.04711,       33.10527,     79.93494,     +18.85913,      79.93811,      +18.82133,  3442923.04,  1464365.95,  5248558.25,      54.696475,       -1.235610,   81592.96,  147198.11,    5465.61,             5791.52,    51.93,  28097.76,           27270.04,     22.09,    -94.75,         136.33,  +3.82,  +2.98
  0,     UK004B,       0,  0.000000, 2459503.498739488889, 250.30042,  62.15705,              336.67498,  31.31555,       336.62020,       31.30801,    250.30042,     +62.15705,     250.37878,      +62.12693,  3447796.49,  1467309.76,  5249575.07,      54.660906,       -1.222507,   85681.92,  161972.29,       0.00,                7.89,    26.00,      0.00,           26913.25,      4.48,   -133.95,         170.68,  +2.48,  +1.43
  1,     UK004B,       0,  0.040308, 2459503.498739955481, 249.85804,  61.84566,              336.70272,  30.94202,       336.68532,       30.93962,    249.85804,     +61.84566,     249.88308,      +61.83615,  3446889.96,  1466762.17,  5249385.93,      54.667519,       -1.224952,   84921.15,  162195.76,    1075.84,             1083.73,    12.04,  26690.48,           26913.25,      1.44,    -42.76,          54.41,  +1.97,  +0.92
  2,     UK004B,       0,  0.080616, 2459503.498740422074, 249.39974,  61.54275,              336.74784,  30.57124,       336.74990,       30.57153,    249.39974,     +61.54275,     249.39713,      +61.54387,  3445981.68,  1466213.52,  5249196.42,      54.674146,       -1.227403,   84158.99,  162426.50,    2153.75,             2161.64,     0.14,  26741.81,           26913.25,     -0.17,      5.09,           6.47,  +1.89,  +0.84
  3,     UK004B,       0,  0.120936, 2459503.498740888666, 248.90650,  61.24517,              336.81778,  30.19617,       336.81540,       30.19584,    248.90650,     +61.24517,     248.91039,      +61.24388,  3445051.98,  1465651.94,  5249002.44,      54.680931,       -1.229910,   83378.93,  162669.66,    3257.08,             3264.97,    13.35,  27364.43,           26913.25,      0.20,     -5.91,           7.49,  +1.99,  +0.93
  4,     UK004B,       0,  0.161244, 2459503.498741355259, 248.47299,  60.93911,              336.85869,  29.82694,       336.87866,       29.82970,    248.47299,     +60.93911,     248.44511,      +60.94986,  3444143.32,  1465103.06,  5248812.85,      54.687565,       -1.232364,   82616.61,  162914.29,    4335.45,             4343.34,     1.92,  26753.10,           26920.63,     -1.68,     49.85,          63.15,  +2.15,  +1.09
  5,     UK004B,       0,  0.201520, 2459503.498741821386, 248.06167,  60.67320,              336.91509,  29.49746,       336.93479,       29.50018,    248.06167,     +60.67320,     248.03435,      +60.68375,  3443323.43,  1464607.80,  5248641.79,      54.693551,       -1.234596,   81928.80,  163141.20,    5308.47,             5316.36,  -114.00,  24158.86,           26528.57,     -1.67,     49.40,          62.49,  +4.12,  +3.06

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.