Orbital Analysis for matched events on 20210810_011633.085_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.99° Bg 39.22° Vg 58.47km/s
mass 0.08789g, abs. mag -1.3
Path Details
------------
start -2.40° 53.44° 108.85km
end   -2.54° 53.37° 93.62km

Orbit Details
-------------
Semimajor axis 17.47A.U., eccentricity 0.95, inclination 111.33°, Period 73.02Y, LA Sun 137.36°, last Perihelion 2021-07-18

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: 2459436.553160713986
Time: 2021-08-10 01:16:33.126485 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 55.56213 deg
 R.A. =  45.78941  Dec = +58.49431 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 55.56 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3524588.81 +/- 13.07 m
 Y =  -1606029.96 +/- 24.24 m
 Z =   5189647.64 +/- 17.68 m
 Vx =    21590.45 +/- 52.28 m/s
 Vy =    22164.44 +/- 98.10 m/s
 Vz =    50832.11 +/- 67.14 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.861390e+02, +1.275601e+02, +4.177479e+01, +4.466977e+02, +2.577457e+02, -4.669032e+02
+1.275601e+02, +6.293411e+02, -2.135336e+02, +2.060763e+02, +1.521357e+03, -1.247680e+03
+4.177479e+01, -2.135336e+02, +3.355657e+02, -1.600327e+02, -1.251019e+03, +9.300809e+02
+4.466977e+02, +2.060763e+02, -1.600327e+02, +1.812661e+03, +9.161919e+02, -1.747245e+03
+2.577457e+02, +1.521357e+03, -1.251019e+03, +9.161919e+02, +7.653818e+03, -5.619238e+03
-4.669032e+02, -1.247680e+03, +9.300809e+02, -1.747245e+03, -5.619238e+03, +4.847080e+03

Timing offsets (from input data):
    UK001L: 0.000019 s
    UK001Z: 0.000000 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:16:33.126485 UTC
  Lon     = +-2.380691 +/- 0.0004 deg
  Lat     = +53.445629 +/- 0.0001 deg
  Lat geo = +53.264495 +/- 0.0001 deg
  Ht      =  111255.28 +/- 19.26 m

  JD dynamic   = 2459436.553961927071 
  LST apparent = 335.5029304840 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.75158 +/- 0.1090 deg
  Dec       = +58.67068 +/- 0.0930 deg
  Azimuth   =  53.08735 +/- 0.1188 deg
  Elevation = +52.26208 +/- 0.0812 deg
  Vavg      =  58.74328 +/- 0.0255 km/s
  Vinit     =  59.50894 +/- 0.0195 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.92682 +/- 0.1090 deg
  Dec       = +58.45245 +/- 0.0930 deg
  Azimuth   =  53.35255 +/- 0.1188 deg
  Elevation = +52.09024 +/- 0.0812 deg
  Vavg      =  58.88200 +/- 0.0255 km/s
  Vinit     =  59.64767 +/- 0.0195 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.94395 +/- 0.1090 deg
  Dec    = +58.44770 +/- 0.0941 deg
  Vg     =  58.46547 +/- 0.0199 km/s
  Vinf   =  59.50894 +/- 0.0195 km/s
  Zc     =  37.84694 +/- 0.0809 deg
  Zg     =  38.19442 +/- 0.0819 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.98772 +/- 0.0538 deg
  Bg     = +39.21824 +/- 0.1020 deg
  Vh     =  41.22415 +/- 0.0620 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  85.04857 +/- 0.1262 deg
  Bh     = +63.73306 +/- 0.1212 deg
  Vh_x   =  -1.57465 +/- 0.0403 km/s
  Vh_y   = -18.17582 +/- 0.0528 km/s
  Vh_z   = -36.96742 +/- 0.0928 km/s
Orbit:
  La Sun = 137.360141 +/- nan deg
  a      =  17.469779 +/- 1.2758 AU
  e      =   0.946338 +/- 0.0053
  i      = 111.332547 +/- 0.1139 deg
  peri   = 147.693114 +/- 0.2280 deg
  node   = 137.359798 +/- 0.0000 deg
  Pi     = 285.052912 +/- 0.2280 deg
  q      =   0.937455 +/- 0.0009 AU
  f      =  32.303031 +/- 0.2280 deg
  M      =   0.303489 +/- 0.0528 deg
  Q      =  34.002104 +/- 2.5511 AU
  n      =   0.013498 +/- 0.0022 deg/day
  T      =  73.018307 +/- 7.4171 years
  Last perihelion JD = 2459414.070166 (2021-07-18 13:41:02.352352) +/- 0.1688 days
  Tj     =  -0.132897 +/- 0.0285
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.112590e-05, +3.605590e-06, +8.584057e-04, +8.317982e-10, +1.868828e-05, -1.149411e-05
q   , +3.605590e-06, +8.162493e-07, +1.522572e-04, +1.025720e-10, +3.680624e-06, -1.416824e-06
Tp  , +8.584057e-04, +1.522572e-04, +3.067348e-02, +2.376310e-08, +7.162716e-04, -3.282939e-04
node, +8.317982e-10, +1.025720e-10, +2.376310e-08, +2.252994e-14, +5.230593e-10, -3.112982e-10
peri, +1.868828e-05, +3.680624e-06, +7.162716e-04, +5.230593e-10, +1.698519e-05, -7.225718e-06
i   , -1.149411e-05, -1.416824e-06, -3.282939e-04, -3.112982e-10, -7.225718e-06, +4.301241e-06

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: UK002Z
  Avg. res. = 4.412e-06 s
  Stddev    = 2.10e-03 s

Begin point on the trajectory:
  Lon =    -2.402716 +/- 0.0003 deg
  Lat =    53.435748 +/- 0.0001 deg
  Ht  = 108849.74 +/- 13.44 m
End point on the trajectory:
  Lon =    -2.543728 +/- 0.0003 deg
  Lat =    53.372892 +/- 0.0001 deg
  Ht  = 93624.27 +/- 12.25 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108493.07,    93641.97,          0.007534,     13.46,     24.76,              58.02, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_011629_555_0429568.fits"}
    UK001Z,    True,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   106960.81,    91873.04,          0.126840,       nan,       nan,              45.84, 0.0000,    True,    True, {"ff_name": "FF_UK001Z_20210810_011629_920_0442624.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,  15.317611,   0.000000,   108849.74,    93624.27,          0.005478,      7.62,     14.74,              83.77, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210810_011633_827_0439808.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,     UK001L,       0,  0.043234, 2459436.553161214106, 201.98181,  61.43188,              337.10358,  28.92868,       337.11422,       28.91957,    201.98181,     +61.43188,     201.95560,      +61.42868,  3523321.43, -1607331.03,  5186663.74,      53.434281,       -2.405993,  108493.07,  218370.83,       0.00,             3493.24,   416.14,      0.00,           57209.00,     43.60,     23.69,          46.87,  +2.96,  +1.26
  1,     UK001L,       0,  0.083526, 2459436.553161680698, 202.18941,  61.00815,              336.76215,  28.61250,       336.76620,       28.60904,    202.18941,     +61.00815,     202.17983,      +61.00694,  3522622.42, -1608048.62,  5185018.02,      53.428016,       -2.420114,  106969.89,  217374.10,    1926.64,             5419.89,   -54.95,  47817.05,           57209.00,     16.54,      8.99,          17.86,  +1.17,  -0.52
  2,     UK001L,       0,  0.123922, 2459436.553162148222, 202.45770,  60.43246,              336.30428,  28.18075,       336.29795,       28.18614,    202.45770,     +60.43246,     202.47348,      +60.43431,  3521683.26, -1609012.75,  5182806.87,      53.419592,       -2.439033,  104923.73,  216053.49,    4515.22,             8008.46,   129.71,  64080.02,           57209.00,    -25.69,    -13.97,          27.92,  +1.15,  -0.52
  3,     UK001L,       0,  0.164266, 2459436.553162614815, 202.73106,  59.91538,              335.87666,  27.80223,       335.87701,       27.80194,    202.73106,     +59.91538,     202.73092,      +59.91528,  3520842.93, -1609875.43,  5180828.41,      53.412047,       -2.455982,  103093.20,  214891.94,    6831.40,            10324.64,    45.05,  57410.67,           57209.00,      1.40,      0.76,           1.53,  +0.75,  -0.91
  4,     UK001L,       0,  0.204622, 2459436.553163081873, 202.97164,  59.39167,              335.46065,  27.41090,       335.45666,       27.41428,    202.97164,     +59.39167,     202.98185,      +59.39280,  3520006.82, -1610733.76,  5178859.90,      53.404533,       -2.472851,  101272.17,  213755.01,    9135.92,            12629.16,   -51.97,  57104.87,           57437.39,    -16.05,     -8.73,          17.63,  +0.54,  -1.11
  5,     UK001L,       0,  0.245006, 2459436.553163549397, 203.22488,  58.82758,              335.01497,  26.98903,       335.00742,       26.99539,    203.22488,     +58.82758,     203.24333,      +58.82968,  3519116.06, -1611648.20,  5176762.71,      53.396521,       -2.490815,   99332.43,  212564.42,   11591.09,            15084.34,    -0.00,  60795.66,           57982.79,    -30.18,    -16.41,          33.34,  +0.46,  -1.18
  6,     UK001L,       0,  0.285414, 2459436.553164017387, 203.51732,  58.21842,              334.52346,  26.53981,       334.52400,       26.53936,    203.51732,     +58.21842,     203.51728,      +58.21827,  3518160.65, -1612629.01,  5174513.32,      53.387919,       -2.510075,   97252.29,  211311.50,   14224.45,            17717.69,   228.71,  65169.14,           58948.55,      2.15,      1.17,           2.39,  +0.52,  -1.10
  7,     UK001L,       0,  0.325742, 2459436.553164483979, 203.73749,  57.73151,              334.13692,  26.17820,       334.14101,       26.17478,    203.73749,     +57.73151,     203.72969,      +57.73040,  3517407.52, -1613402.17,  5172740.15,      53.381132,       -2.525296,   95612.79,  210342.85,   16300.28,            19793.53,   -95.33,  51473.82,           58728.34,     16.18,      8.79,          18.05,  +0.45,  -1.16
  8,     UK001L,       0,  0.366138, 2459436.553164951503, 203.99754,  57.14023,              333.67076,  25.73828,       333.67972,       25.73080,    203.99754,     +57.14023,     203.97928,      +57.13784,  3516502.03, -1614331.73,  5170608.29,      53.372966,       -2.543566,   93641.97,  209198.81,   18796.04,            22289.29,    -3.49,  61782.36,           58829.35,     35.30,     19.17,          39.60,  +0.41,  -1.19
  9,     UK001L,       1,  0.406426, 2459436.553165417630, 203.97596,  56.77281,              333.47681,  25.41497,       333.41034,       25.47028,    203.97596,     +56.77281,     204.12317,      +56.79035,  3515977.14, -1614870.57,  5169372.51,      53.368228,       -2.554229,   92499.64,  208548.43,   20242.77,            23736.02,  -954.26,  35909.66,           57633.18,   -260.82,   -142.27,         293.85,  +4.38,  +2.78
  0,     UK001Z,       1,  0.083559, 2459436.553161681164, 142.22285,  57.59288,                7.16316,  18.97169,         7.06894,       19.03898,    142.22285,     +57.59288,     142.36947,      +57.67246,  3522618.25, -1608052.90,  5185008.20,      53.427979,       -2.420197,  106960.81,  307633.79,       0.00,             5431.37,   -45.47,      0.00,           61624.72,   -274.82,   -532.74,         401.93,  +3.84,  +1.40
  1,     UK001Z,       1,  0.123759, 2459436.553162146360, 142.64492,  57.36424,                6.96077,  18.71270,         6.86196,       18.78320,    142.64492,     +57.36424,     142.79895,      +57.44722,  3521759.38, -1608934.61,  5182986.08,      53.420275,       -2.437513,  105089.56,  306004.40,    2367.29,             7798.66,   -70.44,  58887.73,           61624.72,   -286.81,   -556.08,         421.75,  +3.19,  +0.76
  2,     UK001Z,       1,  0.163963, 2459436.553162611555, 143.07705,  57.12358,                6.75186,  18.44184,         6.64710,       18.51651,    143.07705,     +57.12358,     143.24060,      +57.21106,  3520874.32, -1609843.20,  5180902.32,      53.412329,       -2.455354,  103161.58,  304335.60,    4806.74,            10238.12,   -23.48,  60676.98,           61624.72,   -302.56,   -586.78,         447.45,  +2.33,  -0.09
  3,     UK001Z,       1,  0.204183, 2459436.553163077217, 143.55701,  56.86588,                6.51530,  18.15146,         6.41292,       18.22438,    143.55701,     +56.86588,     143.71712,      +56.95083,  3519916.73, -1610826.24,  5178647.80,      53.403723,       -2.474649,  101075.99,  302542.04,    7446.10,            12877.47,   222.42,  65622.92,           61624.72,   -294.25,   -570.48,         437.63,  +2.17,  -0.23
  4,     UK001Z,       1,  0.244367, 2459436.553163542412, 143.93673,  56.64980,                6.32747,  17.91039,         6.22180,       17.98559,    143.93673,     +56.64980,     144.10217,      +56.73703,  3519142.93, -1611620.62,  5176825.97,      53.396763,       -2.490276,   99390.94,  301101.64,    9578.90,            15010.28,   -36.08,  53076.02,           60284.31,   -302.42,   -586.35,         451.95,  +2.15,  -0.24
  5,     UK001Z,       1,  0.284583, 2459436.553164007608, 144.42662,  56.39180,                6.07936,  17.62096,         5.98510,       17.68800,    144.42662,     +56.39180,     144.57454,      +56.46913,  3518189.73, -1612599.16,  5174581.78,      53.388181,       -2.509491,   97315.59,  299339.05,   12206.17,            17637.54,   197.97,  65328.89,           60622.10,   -268.62,   -520.34,         403.51,  +1.98,  -0.40
  6,     UK001Z,       1,  0.324783, 2459436.553164473269, 144.76399,  56.14918,                5.91454,  17.35782,         5.79199,       17.44485,    144.76399,     +56.14918,     144.95605,      +56.24915,  3517419.70, -1613389.66,  5172768.84,      53.381242,       -2.525049,   95639.32,  297924.31,   14328.57,            19759.94,   -71.89,  52795.96,           59904.32,   -347.21,   -673.77,         524.77,  +1.89,  -0.48
  7,     UK001Z,       1,  0.364975, 2459436.553164938465, 145.22819,  55.91522,                5.67269,  17.09581,         5.57245,       17.16700,    145.22819,     +55.91522,     145.38575,      +55.99655,  3516549.38, -1614283.12,  5170719.77,      53.373393,       -2.542615,   93745.02,  296335.73,   16727.41,            22158.78,   -64.83,  59684.46,           59586.93,   -283.13,   -548.52,         429.66,  +1.91,  -0.45
  8,     UK001Z,       1,  0.405203, 2459436.553165403660, 145.60308,  55.63667,                5.48535,  16.79593,         5.35377,       16.88920,    145.60308,     +55.63667,     145.80946,      +55.74274,  3515689.16, -1615166.20,  5168694.50,      53.365628,       -2.559983,   91873.04,  294776.44,   19098.38,            24529.75,   -87.78,  58938.45,           59395.54,   -369.26,   -716.78,         564.20,  +4.93,  +2.58
  0,     UK002Z,       1,  0.000000, 2459436.553160713986, 275.61173,  28.54464,              266.38828,  39.07134,       266.38197,       39.07302,    275.61173,     +28.54464,     275.61713,      +28.54257,  3524595.18, -1606023.42,  5189662.64,      53.445686,       -2.380394,  111269.16,  174252.25,       0.00,               17.55,  -486.77,      0.00,           62089.47,    -13.99,      7.23,          18.64,  +6.10,  +4.89
  1,     UK002Z,       0,  0.040800, 2459436.553161186166, 275.16986,  27.61981,              265.96228,  38.12454,       265.97051,       38.12236,    275.16986,     +27.61981,     275.16295,      +27.62253,  3523485.10, -1607163.01,  5187049.08,      53.435748,       -2.402716,  108849.74,  173939.73,    3059.68,             3042.13,   109.85,  74992.20,           62089.47,     18.43,     -9.53,          24.60,  +2.09,  +0.89
  2,     UK002Z,       0,  0.081408, 2459436.553161656018, 274.83017,  26.92310,              265.65920,  37.40401,       265.66659,       37.40205,    274.83017,     +26.92310,     274.82414,      +26.92554,  3522648.20, -1608022.16,  5185078.72,      53.428248,       -2.419590,  107026.07,  173741.65,    5366.38,             5348.82,     0.00,  56803.93,           62089.47,     16.66,     -8.62,          22.27,  +1.02,  -0.18
  3,     UK002Z,       0,  0.122008, 2459436.553162126336, 274.49976,  26.23151,              265.36249,  36.69019,       265.37129,       36.68786,    274.49976,     +26.23151,     274.49265,      +26.23442,  3521821.05, -1608871.30,  5183131.29,      53.420828,       -2.436274,  105223.92,  173576.02,    7646.22,             7628.67,  -136.22,  56153.80,           62089.47,     19.99,    -10.34,          26.74,  +0.92,  -0.28
  4,     UK002Z,       0,  0.162696, 2459436.553162597120, 274.11645,  25.44780,              265.04502,  35.87305,       265.04154,       35.87397,    274.11645,     +25.44780,     274.12016,      +25.44665,  3520880.82, -1609836.53,  5180917.63,      53.412387,       -2.455219,  103175.74,  173422.90,   10237.75,            10220.19,    34.01,  63692.64,           61640.80,     -7.97,      4.12,          10.68,  +0.59,  -0.61
  5,     UK002Z,       0,  0.203340, 2459436.553163067438, 273.76844,  24.69897,              264.73701,  35.10026,       264.73490,       35.10081,    273.76844,     +24.69897,     273.77112,      +24.69827,  3519990.06, -1610750.97,  5178820.44,      53.404382,       -2.473180,  101235.68,  173314.07,   12692.91,            12675.36,    70.49,  60406.57,           61336.34,     -4.86,      2.51,           6.51,  +0.38,  -0.81
  6,     UK002Z,       0,  0.243956, 2459436.553163537756, 273.43561,  23.98777,              264.45561,  34.36251,       264.44854,       34.36437,    273.43561,     +23.98777,     273.44282,      +23.98542,  3519143.42, -1611620.12,  5176827.13,      53.396767,       -2.490264,   99392.00,  173243.41,   15026.48,            15008.93,   -12.96,  57454.39,           60812.12,    -16.45,      8.50,          22.05,  +0.37,  -0.82
  7,     UK002Z,       0,  0.284632, 2459436.553164008539, 273.08437,  23.19504,              264.13534,  33.54920,       264.13733,       33.54868,    273.08437,     +23.19504,     273.08382,      +23.19570,  3518206.89, -1612581.54,  5174622.18,      53.388336,       -2.509148,   97352.95,  173201.04,   17607.80,            17590.25,   147.78,  63460.55,           60814.42,      4.66,     -2.41,           6.24,  +0.35,  -0.84
  8,     UK002Z,       0,  0.325252, 2459436.553164478391, 272.76164,  22.47276,              263.85460,  32.80426,       263.85839,       32.80326,    272.76164,     +22.47276,     272.75966,      +22.47403,  3517352.25, -1613458.91,  5172610.03,      53.380634,       -2.526399,   95492.50,  173196.88,   19963.41,            19945.86,    86.14,  57991.47,           60627.45,      8.96,     -4.63,          12.01,  +0.29,  -0.90
  9,     UK002Z,       0,  0.365876, 2459436.553164948709, 272.42789,  21.75176,              263.59212,  32.05168,       263.58295,       32.05410,    272.42789,     +21.75176,     272.43753,      +21.74868,  3516493.89, -1614340.08,  5170589.14,      53.372892,       -2.543728,   93624.27,  173225.05,   22329.26,            22311.71,    34.50,  58237.79,           60402.01,    -21.86,     11.29,          29.30,  +0.33,  -0.86

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.