Orbital Analysis for matched events on 20210813_234144.921_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 300.53° Bg 35.52° Vg 15.67km/s
mass 0.07016g, abs. mag 0.7
Path Details
------------
start -0.23° 51.84° 84.68km
end   -0.20° 51.87° 79.11km

Orbit Details
-------------
Semimajor axis 2.40A.U., eccentricity 0.64, inclination 15.04°, Period 3.72Y, LA Sun 141.14°, last Perihelion 2017-12-30

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: 2459440.487325484864
Time: 2021-08-13 23:41:44.921892 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0002 and UK000C
 Convergence angle = 35.90858 deg
 R.A. = 298.36355  Dec = +18.32571 deg
Intersection 2 - Stations: UK0002 and UK002C
 Convergence angle = 64.18238 deg
 R.A. = 297.84872  Dec = +19.79959 deg
Intersection 3 - Stations: UK0002 and UK002F
 Convergence angle = 78.59618 deg
 R.A. = 298.00467  Dec = +19.35605 deg
Intersection 4 - Stations: UK000C and UK002C
 Convergence angle = 28.29723 deg
 R.A. = 299.32531  Dec = +21.13165 deg
Intersection 5 - Stations: UK000C and UK002F
 Convergence angle = 42.69631 deg
 R.A. = 298.87095  Dec = +19.81897 deg
Intersection 6 - Stations: UK002C and UK002F
 Convergence angle = 14.42054 deg
 R.A. = 296.45750  Dec = +18.51250 deg

Best intersection: Stations UK0002 and UK002F with Qconv = 78.60 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2965429.21 +/- 17.54 m
 Y =  -2686372.07 +/- 26.34 m
 Z =   5058435.72 +/- 46.52 m
 Vx =     8284.81 +/- 105.03 m/s
 Vy =   -16240.47 +/- 48.28 m/s
 Vz =     6070.17 +/- 254.19 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.295827e+02, -1.316679e+02, +1.469729e+02, +1.384027e+03, +2.540042e+02, +4.575174e+02
-1.316679e+02, +7.307448e+02, +5.198873e+02, +4.101266e+01, +9.332679e+02, +3.306883e+03
+1.469729e+02, +5.198873e+02, +2.282381e+03, +2.429642e+03, +2.411194e+03, +1.201715e+04
+1.384027e+03, +4.101266e+01, +2.429642e+03, +9.327523e+03, +4.089527e+03, +1.360533e+04
+2.540042e+02, +9.332679e+02, +2.411194e+03, +4.089527e+03, +4.543479e+03, +1.414205e+04
+4.575174e+02, +3.306883e+03, +1.201715e+04, +1.360533e+04, +1.414205e+04, +6.865403e+04

Timing offsets (from input data):
    UK0002: 0.000136 s
    UK000C: 0.000000 s
    UK002C: 0.000250 s
    UK002F: -0.000366 s

Reference point on the trajectory:
  Time: 2021-08-13 23:41:44.921892 UTC
  Lon     = +-0.233697 +/- 0.0003 deg
  Lat     = +51.840151 +/- 0.0003 deg
  Lat geo = +51.655496 +/- 0.0003 deg
  Ht      =   84657.60 +/- 36.57 m

  JD dynamic   = 2459440.488126225770 
  LST apparent = 317.8266780524 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 297.02765 +/- 0.3273 deg
  Dec       = +18.41509 +/- 0.7317 deg
  Azimuth   = 213.85473 +/- 0.3994 deg
  Elevation = +52.78808 +/- 0.7583 deg
  Vavg      =  19.09566 +/- 0.0400 km/s
  Vinit     =  19.21556 +/- 0.0733 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 297.88969 +/- 0.3273 deg
  Dec       = +18.51123 +/- 0.7317 deg
  Azimuth   = 212.64328 +/- 0.3994 deg
  Elevation = +53.16990 +/- 0.7583 deg
  Vavg      =  18.99933 +/- 0.0400 km/s
  Vinit     =  19.11923 +/- 0.0733 km/s
Radiant (geocentric, J2000):
  R.A.   = 295.30637 +/- 0.3600 deg
  Dec    = +14.72928 +/- 0.8391 deg
  Vg     =  15.67283 +/- 0.0895 km/s
  Vinf   =  19.21556 +/- 0.0733 km/s
  Zc     =  37.05870 +/- 0.7581 deg
  Zg     =  40.95722 +/- 0.8706 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 300.52764 +/- 0.5981 deg
  Bg     = +35.52368 +/- 0.7708 deg
  Vh     =  37.17368 +/- 0.0830 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 251.02017 +/- 0.1157 deg
  Bh     = +14.18064 +/- 0.3761 deg
  Vh_x   =  11.72178 +/- 0.0969 km/s
  Vh_y   =  34.08149 +/- 0.1205 km/s
  Vh_z   =  -9.10680 +/- 0.2179 km/s
Orbit:
  La Sun = 141.136642 +/- -0.0000 deg
  a      =   2.400816 +/- 0.0389 AU
  e      =   0.637599 +/- 0.0055
  i      =  15.038725 +/- 0.4009 deg
  peri   = 230.382903 +/- 0.4525 deg
  node   = 141.150698 +/- 0.0003 deg
  Pi     =  11.533601 +/- 0.4523 deg
  q      =   0.870059 +/- 0.0019 AU
  f      = 309.603128 +/- 0.4523 deg
  M      = 350.454867 +/- 0.3239 deg
  Q      =   3.931574 +/- 0.0765 AU
  n      =   0.264951 +/- 0.0067 deg/day
  T      =   3.719967 +/- 0.0898 years
  Last perihelion JD = 2458117.772540 (2017-12-30 06:32:27.447494) +/- 33.0860 days
  Tj     =   3.178340 +/- 0.0321
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.254712e-05, +6.512675e-06, -1.935001e-01, +2.945123e-08, -3.638582e-05, -3.460952e-05
q   , +6.512675e-06, +3.745149e-06, -4.500230e-02, +5.301523e-09, -1.527116e-05, -6.118342e-06
Tp  , -1.935001e-01, -4.500230e-02, +1.166977e+03, -1.723218e-04, +2.368637e-01, +2.021866e-01
node, +2.945123e-08, +5.301523e-09, -1.723218e-04, +3.801971e-11, -3.104482e-08, -4.443933e-08
peri, -3.638582e-05, -1.527116e-05, +2.368637e-01, -3.104482e-08, +6.682337e-05, +3.611790e-05
i   , -3.460952e-05, -6.118342e-06, +2.021866e-01, -4.443933e-08, +3.611790e-05, +5.198981e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.695959
 a2 = 9.684767

Mean time residuals from time vs. length:
  Station with reference time: UK000C
  Avg. res. = 3.268e-06 s
  Stddev    = 1.81e-03 s

Begin point on the trajectory:
  Lon =    -0.233855 +/- 0.0002 deg
  Lat =    51.840006 +/- 0.0003 deg
  Ht  = 84683.55 +/- 37.08 m
End point on the trajectory:
  Lon =    -0.201542 +/- 0.0004 deg
  Lat =    51.871217 +/- 0.0003 deg
  Ht  = 79108.36 +/- 36.71 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
    UK0002,   False,     0.265820,    50.757180,   60.00,   0.000000,   0.000000,    83468.82,    79888.43,          0.016393,     38.78,     19.34,              81.67, 0.9790,    True,    True, {"ff_name": "FF_UK0002_20210813_234146_239_0330240.fits"}
    UK000C,   False,    -0.727590,    51.263100,   57.00,   4.387335,   5.870164,    84683.55,    79108.36,          0.018927,     36.26,      4.97,              76.08, 0.9421,    True,    True, {"ff_name": "FF_UK000C_20210813_234142_225_0320512.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,  18.000416,   0.000000,    82981.78,    80447.41,          0.012235,     26.17,     17.93,              86.42, 0.9961,    True,    True, {"ff_name": "FF_UK002C_20210813_234144_507_0317184.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    82995.53,    80005.42,          0.017392,     22.64,     24.77,              64.52, 0.8149,    True,    True, {"ff_name": "FF_UK002F_20210813_234136_654_0268800.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,     UK0002,       0,  0.075299, 2459440.487326403614, 176.82986,  68.65876,              344.36957,  32.76551,       344.36865,       32.76510,    176.82986,     +68.65876,     176.83113,      +68.65803,  2964785.62, -2685110.45,  5057964.17,      51.846802,       -0.226825,   83468.82,  151791.56,       0.00,             1492.73,    27.63,      0.00,           19233.63,      1.04,      2.08,           3.16,  +3.30,  +2.39
  1,     UK0002,       0,  0.115423, 2459440.487326868344, 176.28346,  68.51913,              344.50221,  32.54915,       344.49894,       32.54770,    176.28346,     +68.51913,     176.28839,      +68.51657,  2964504.02, -2684558.45,  5057757.85,      51.849713,       -0.223840,   82948.70,  151716.85,     653.12,             2145.85,   -90.25,  16277.51,           19233.63,      3.67,      7.38,          11.21,  +2.23,  +1.32
  2,     UK0002,       0,  0.155583, 2459440.487327333074, 175.59620,  68.33053,              344.66625,  32.26586,       344.66793,       32.26660,    175.59620,     +68.33053,     175.59392,      +68.33185,  2964140.34, -2683845.53,  5057491.38,      51.853472,       -0.219933,   82276.99,  151623.64,    1496.65,             2989.38,   -18.43,  21004.15,           19233.63,     -1.90,     -3.81,           5.80,  +1.57,  +0.67
  3,     UK0002,       0,  0.195751, 2459440.487327797804, 174.98954,  68.13324,              344.79895,  31.98853,       344.82643,       32.00068,    174.98954,     +68.13324,     174.94843,      +68.15449,  2963796.99, -2683172.47,  5057239.81,      51.857022,       -0.216254,   81642.86,  151540.00,    2293.00,             3785.73,     6.08,  19825.51,           19233.63,    -31.02,    -62.21,          94.62,  +1.62,  +0.72
  4,     UK0002,       0,  0.235899, 2459440.487328262534, 174.37280,  67.95557,              344.95018,  31.72731,       344.98031,       31.74061,    174.37280,     +67.95557,     174.32749,      +67.97874,  2963461.82, -2682515.46,  5056994.24,      51.860488,       -0.212664,   81023.86,  151462.36,    3070.37,             4563.10,    11.98,  19362.70,           19377.65,    -34.06,    -68.29,         103.93,  +2.09,  +1.19
  5,     UK0002,       0,  0.276035, 2459440.487328727264, 173.72031,  67.79301,              345.12742,  31.47427,       345.13499,       31.47761,    173.72031,     +67.79301,     173.70944,      +67.79880,  2963123.45, -2681852.14,  5056746.31,      51.863987,       -0.209037,   80398.94,  151387.91,    3855.20,             5347.93,    25.58,  19554.23,           19444.00,     -8.57,    -17.19,          26.16,  +2.21,  +1.31
  6,     UK0002,       0,  0.316163, 2459440.487329191528, 173.23941,  67.63603,              345.24217,  31.25449,       345.25991,       31.26231,    173.23941,     +67.63603,     173.21293,      +67.64954,  2962847.02, -2681310.27,  5056543.78,      51.866847,       -0.206104,   79888.43,  151330.51,    4496.34,             5989.07,  -104.37,  15977.38,           19096.51,    -20.11,    -40.33,          61.42,  +3.27,  +2.37
  0,     UK000C,       0,  0.000000, 2459440.487325484864,  44.24411,  72.03980,               27.86930,  48.80005,        27.88835,       48.80081,     44.24411,     +72.03980,      44.22849,      +72.02814,  2965443.26, -2686399.60,  5058446.01,      51.840006,       -0.233855,   84683.55,  111913.50,       0.00,               32.58,    14.40,      0.00,           19985.54,      3.36,    -24.32,          45.25,  +3.93,  +3.69
  1,     UK000C,       0,  0.040344, 2459440.487325951923,  45.45543,  71.88732,               27.90227,  48.39579,        27.91727,       48.39638,     45.45543,     +71.88732,      45.44261,      +71.87814,  2965092.64, -2685712.30,  5058189.12,      51.843629,       -0.230099,   84035.91,  111738.70,     813.21,              780.63,   -12.78,  20156.86,           19985.54,      2.66,    -19.28,          35.93,  +2.10,  +1.86
  2,     UK000C,       0,  0.080680, 2459440.487326418515,  46.58488,  71.71242,               27.96591,  48.00434,        27.94471,       48.00350,     46.58488,     +71.71242,      46.60334,      +71.72539,  2964753.01, -2685046.54,  5057940.28,      51.847139,       -0.226466,   83408.60,  111574.59,    1600.93,             1568.35,    -0.14,  19529.05,           19985.54,     -3.80,     27.42,          51.18,  +1.10,  +0.86
  3,     UK000C,       0,  0.121028, 2459440.487326885574,  47.79729,  71.55526,               27.97703,  47.59134,        27.97340,       47.59119,     47.79729,     +71.55526,      47.80069,      +71.55748,  2964397.74, -2684350.10,  5057679.97,      51.850811,       -0.222655,   82752.40,  111408.73,    2424.95,             2392.37,    48.57,  20422.67,           19985.54,     -0.65,      4.72,           8.83,  +0.99,  +0.76
  4,     UK000C,       0,  0.161312, 2459440.487327351701,  48.76354,  71.41836,               27.99158,  47.25552,        27.99499,       47.25566,     48.76354,     +71.41836,      48.76058,      +71.41628,  2964109.05, -2683784.19,  5057468.45,      51.853796,       -0.219590,   82219.20,  111277.51,    3094.53,             3061.95,   -55.93,  16621.54,           19342.21,      0.62,     -4.46,           8.35,  +1.10,  +0.87
  5,     UK000C,       0,  0.201636, 2459440.487327818759,  49.84545,  71.25004,               28.01692,  46.87091,        28.02048,       46.87105,     49.84545,     +71.25004,      49.84240,      +71.24787,  2963779.22, -2683137.64,  5057226.79,      51.857206,       -0.216062,   81610.03,  111132.81,    3859.52,             3826.94,   -65.79,  18971.19,           19105.26,      0.65,     -4.69,           8.79,  +0.99,  +0.76
  6,     UK000C,       0,  0.241996, 2459440.487328285817,  51.04073,  71.07282,               28.01931,  46.44622,        28.04889,       46.44741,     51.04073,     +71.07282,      51.01146,      +71.05484,  2963417.06, -2682427.72,  5056961.44,      51.860951,       -0.212171,   80941.19,  110980.09,    4699.50,             4666.92,    -1.35,  20812.02,           19203.63,      5.39,    -39.19,          73.51,  +1.14,  +0.91
  7,     UK000C,       0,  0.282336, 2459440.487328752410,  52.10351,  70.87278,               28.06442,  46.04736,        28.07485,       46.04778,     52.10351,     +70.87278,      52.09342,      +70.86645,  2963076.24, -2681759.60,  5056711.73,      51.864476,       -0.208517,   80311.76,  110841.70,    5490.00,             5457.42,    14.00,  19596.03,           19277.32,      1.92,    -13.91,          26.13,  +0.99,  +0.77
  8,     UK000C,       0,  0.322636, 2459440.487329219002,  53.05156,  70.70630,               28.07849,  45.69391,        28.09660,       45.69464,     53.05156,     +70.70630,      53.03318,      +70.69535,  2962775.55, -2681170.17,  5056491.41,      51.867586,       -0.205312,   79756.45,  110723.63,    6187.41,             6154.83,   -62.98,  17305.49,           19180.35,      3.34,    -24.26,          45.62,  +2.03,  +1.81
  9,     UK000C,       0,  0.362984, 2459440.487329686061,  54.18804,  70.53079,               28.05238,  45.27834,        28.12296,       45.28119,     54.18804,     +70.53079,      54.11172,      +70.48827,  2962424.60, -2680482.21,  5056234.28,      51.871217,       -0.201542,   79108.36,  110591.82,    7001.39,             6968.81,   -24.31,  20174.03,           19185.21,     13.01,    -95.14,         179.10,  +3.34,  +3.12
  0,     UK002C,       0,  0.117228, 2459440.487326639704,  43.00622,  42.07386,               62.51117,  33.34227,        62.52757,       33.33794,     43.00622,     +42.07386,      42.99830,      +42.06075,  2964521.93, -2684593.56,  5057770.97,      51.849527,       -0.223958,   82981.78,  148586.27,       0.00,             2104.31,  -166.47,      0.00,           20114.57,     21.04,    -30.74,          51.71,  +4.81,  +3.95
  1,     UK002C,       0,  0.157524, 2459440.487327106297,  43.49221,  41.88596,               62.39045,  32.94780,        62.37847,       32.95097,     43.49221,     +41.88596,      43.49824,      +41.89555,  2964065.54, -2683698.90,  5057436.57,      51.854245,       -0.219013,   82138.85,  148562.43,    1058.55,             3162.87,   117.77,  26269.42,           20114.57,    -15.44,     22.53,          37.93,  +3.74,  +2.88
  2,     UK002C,       0,  0.197712, 2459440.487327571027,  43.83119,  41.77907,               62.28351,  32.68868,        62.27773,       32.69021,     43.83119,     +41.77907,      43.83439,      +41.78370,  2963757.33, -2683094.73,  5057210.75,      51.857432,       -0.215727,   81569.62,  148547.75,    1773.39,             3877.71,    60.38,  17787.43,           20114.57,     -7.47,     10.90,          18.35,  +1.77,  +0.91
  3,     UK002C,       0,  0.237904, 2459440.487328036223,  44.14450,  41.65901,               62.20248,  32.43483,        62.18164,       32.44033,     44.14450,     +41.65901,      44.15541,      +41.67573,  2963462.02, -2682515.84,  5056994.38,      51.860486,       -0.212585,   81024.22,  148536.49,    2458.33,             4562.65,   -27.00,  17041.64,           20114.57,    -27.01,     39.41,          66.35,  +1.32,  +0.46
  4,     UK002C,       0,  0.278084, 2459440.487328501418,  44.49773,  41.56770,               62.07159,  32.17823,        62.08072,       32.17582,     44.49773,     +41.56770,      44.49381,      +41.56038,  2963149.70, -2681903.60,  5056765.55,      51.863716,       -0.209250,   80447.41,  148528.49,    3182.73,             5287.04,   -74.68,  18028.86,           19313.05,     11.85,    -17.31,          29.13,  +2.04,  +1.18
  0,     UK002F,       0,  0.106509, 2459440.487326197792,  11.47230,  34.19410,               92.45727,  47.48155,        92.44941,       47.48519,     11.47230,     +34.19410,      11.47314,      +34.20048,  2964529.37, -2684608.14,  5057776.42,      51.849451,       -0.223882,   82995.53,  111887.41,       0.00,             2087.06,    22.25,      0.00,           19152.79,     -9.27,      8.48,          23.17,  +2.83,  +2.59
  1,     UK002F,       0,  0.146769, 2459440.487326663919,  11.86253,  34.16234,               92.17464,  47.21971,        92.17691,       47.21866,     11.86253,     +34.16234,      11.86224,      +34.16050,  2964230.37, -2684022.02,  5057557.35,      51.852541,       -0.220701,   82443.28,  111612.27,     693.49,             2780.55,   -57.89,  17225.21,           19152.79,      2.67,     -2.44,           6.69,  +1.61,  +1.37
  2,     UK002F,       0,  0.187069, 2459440.487327130046,  12.30331,  34.11415,               91.87027,  46.91566,        91.87126,       46.91521,     12.30331,     +34.11415,      12.30335,      +34.11334,  2963893.22, -2683361.11,  5057310.32,      51.856027,       -0.217091,   81820.58,  111307.33,    1475.48,             3562.54,   -50.28,  19404.20,           19152.79,      1.17,     -1.07,           2.95,  +1.88,  +1.65
  3,     UK002F,       0,  0.227389, 2459440.487327596638,  12.77864,  34.06943,               91.53565,  46.59256,        91.54637,       46.58765,     12.77864,     +34.06943,      12.77748,      +34.06067,  2963532.65, -2682654.29,  5057046.13,      51.859755,       -0.213218,   81154.66,  110986.87,    2311.78,             4398.84,    11.24,  20741.56,           19152.79,     12.65,    -11.58,          31.87,  +2.04,  +1.81
  4,     UK002F,       0,  0.267717, 2459440.487328063697,  13.24963,  33.98831,               91.24530,  46.24777,        91.22385,       46.25760,     13.24963,     +33.98831,      13.25327,      +34.00592,  2963172.41, -2681948.13,  5056782.19,      51.863481,       -0.209347,   80489.37,  110672.01,    3147.30,             5234.36,    71.84,  20718.21,           19633.45,    -25.37,     23.20,          64.07,  +2.24,  +2.02
  5,     UK002F,       0,  0.307957, 2459440.487328529358,  13.59226,  33.92885,               91.03520,  45.99659,        90.99062,       46.01697,     13.59226,     +33.92885,      13.59960,      +33.96550,  2962910.37, -2681434.45,  5056590.19,      51.866191,       -0.206576,   80005.42,  110444.15,    3755.08,             5842.14,   -93.61,  15103.84,           19124.65,    -52.74,     48.21,         133.45,  +2.30,  +2.08

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.