Orbital Analysis for matched events on 20210813_004254.375_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 54.70° Bg 36.81° Vg 52.98km/s
mass 0.26546g, abs. mag -2.4
Path Details
------------
start 1.24° 55.41° 107.20km
end   1.08° 55.37° 91.57km

Orbit Details
-------------
Semimajor axis 1.56A.U., eccentricity 0.36, inclination 112.10°, Period 1.95Y, LA Sun 140.22°, last Perihelion 2021-07-27

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: 2459439.529796013143
Time: 2021-08-13 00:42:54.456002 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK003B
 Convergence angle = 10.88257 deg
 R.A. =  37.92588  Dec = +54.46677 deg

Best intersection: Stations UK0026 and UK003B with Qconv = 10.88 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3308763.78 +/- 302.77 m
 Y =  -1636331.82 +/- 466.14 m
 Z =   5319527.06 +/- 710.92 m
 Vx =    24947.65 +/- 2620.76 m/s
 Vy =    19326.03 +/- 1444.59 m/s
 Vz =    43981.62 +/- 2176.12 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.531537e+04, -1.415156e+05, -2.165440e+05, +2.773879e+05, -4.189343e+05, -6.509263e+05
-1.415156e+05, +2.244406e+05, +3.363249e+05, -4.244450e+05, +6.577217e+05, +1.001301e+06
-2.165440e+05, +3.363249e+05, +5.225273e+05, -6.538590e+05, +9.772619e+05, +1.542908e+06
+2.773879e+05, -4.244450e+05, -6.538590e+05, +9.300009e+05, -1.409317e+06, -2.163017e+06
-4.189343e+05, +6.577217e+05, +9.772619e+05, -1.409317e+06, +2.217763e+06, +3.282171e+06
-6.509263e+05, +1.001301e+06, +1.542908e+06, -2.163017e+06, +3.282171e+06, +5.047479e+06

Timing offsets (from input data):
    UK0026: 0.000000 s
    UK002F: 0.000000 s
    UK003B: -0.000181 s

Reference point on the trajectory:
  Time: 2021-08-13 00:42:54.456002 UTC
  Lon     = ++1.279211 +/- 0.0045 deg
  Lat     = +55.419790 +/- 0.0070 deg
  Lat geo = +55.242829 +/- 0.0070 deg
  Ht      =  111063.18 +/- 324.34 m

  JD dynamic   = 2459439.530597685371 
  LST apparent = 333.6855433718 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  37.76363 +/- 3.1391 deg
  Dec       = +54.33990 +/- 1.1129 deg
  Azimuth   =  64.39108 +/- 3.0432 deg
  Elevation = +54.44808 +/- 1.0590 deg
  Vavg      =  53.31181 +/- 1.8457 km/s
  Vinit     =  54.13191 +/- 1.9489 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  37.97564 +/- 3.1391 deg
  Dec       = +54.13207 +/- 1.1129 deg
  Azimuth   =  64.60124 +/- 3.0432 deg
  Elevation = +54.23942 +/- 1.0590 deg
  Vavg      =  53.45343 +/- 1.8457 km/s
  Vinit     =  54.27353 +/- 1.9489 km/s
Radiant (geocentric, J2000):
  R.A.   =  37.97783 +/- 3.1193 deg
  Dec    = +54.05630 +/- 1.1237 deg
  Vg     =  52.98248 +/- 1.9883 km/s
  Vinf   =  54.13191 +/- 1.9489 km/s
  Zc     =  35.62872 +/- 1.0668 deg
  Zg     =  36.02386 +/- 1.0526 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  54.69738 +/- 2.5866 deg
  Bg     = +36.80733 +/- 0.4262 deg
  Vh     =  34.39262 +/- 2.0579 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  63.32941 +/- 6.4993 deg
  Bh     = +67.36532 +/- 1.6272 deg
  Vh_x   =  -5.94118 +/- 0.9003 km/s
  Vh_y   = -11.82784 +/- 2.2221 km/s
  Vh_z   = -31.74362 +/- 1.4853 km/s
Orbit:
  La Sun = 140.217111 +/- 0.0000 deg
  a      =   1.561172 +/- 1.4626 AU
  e      =   0.360366 +/- 0.1740
  i      = 112.101961 +/- 0.8352 deg
  peri   = 160.980618 +/- 4.6590 deg
  node   = 140.216635 +/- 0.0001 deg
  Pi     = 301.197253 +/- 4.6590 deg
  q      =   0.998578 +/- 0.0135 AU
  f      =  19.015531 +/- 4.6590 deg
  M      =   8.421955 +/- 2.1590 deg
  Q      =   2.123767 +/- 2.9369 AU
  n      =   0.505275 +/- 0.1659 deg/day
  T      =   1.950639 +/- 4.3201 years
  Last perihelion JD = 2459422.862535 (2021-07-27 08:42:03.054443) +/- 3.0073 days
  Tj     =   2.949102 +/- 0.9207
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.122666e-02, -2.405635e-03, -4.267636e-01, -1.725154e-07, -1.324930e-02, +2.377380e-03
q   , -2.405635e-03, +1.891475e-04, +3.461472e-02, +1.407293e-08, +1.057629e-03, -1.939584e-04
Tp  , -4.267636e-01, +3.461472e-02, +9.500691e+00, +2.727596e-06, +2.495432e-01, -3.772616e-02
node, -1.725154e-07, +1.407293e-08, +2.727596e-06, +1.157843e-12, +8.097129e-08, -1.595836e-08
peri, -1.324930e-02, +1.057629e-03, +2.495432e-01, +8.097129e-08, +6.906422e-03, -1.118363e-03
i   , +2.377380e-03, -1.939584e-04, -3.772616e-02, -1.595836e-08, -1.118363e-03, +2.199617e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.999979
 a2 = 9.897543

Mean time residuals from time vs. length:
  Station with reference time: UK0026
  Avg. res. = 1.967e-06 s
  Stddev    = 1.40e-03 s

Begin point on the trajectory:
  Lon =     1.240508 +/- 0.0034 deg
  Lat =    55.409230 +/- 0.0052 deg
  Ht  = 107195.90 +/- 235.27 m
End point on the trajectory:
  Lon =     1.082288 +/- 0.0025 deg
  Lat =    55.366289 +/- 0.0038 deg
  Ht  = 91574.49 +/- 141.78 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
    UK0026,   False,    -0.023645,    52.984073,    6.00,   1.463220,  10.609298,   107195.90,    91574.49,          0.016734,     87.00,      6.95,              45.14, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210813_004253_293_0406528.fits"}
    UK002F,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   107768.69,    93860.54,          0.130669,       nan,       nan,              47.08, 0.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_004248_375_0374784.fits"}
    UK003B,   False,    -1.072290,    52.276980,  129.00,   4.229372,   8.117511,   105938.19,    91941.52,          0.015527,    102.28,     27.80,              45.67, 1.0000,    True,    True, {"ff_name": "FF_UK003B_20210813_004247_293_0404736.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,     UK0026,       1,  0.000000, 2459439.529796013143, 124.38466,  54.43700,               16.87950,  19.89944,        16.88438,       19.89621,    124.38466,     +54.43700,     124.37881,      +54.43255,  3308742.66, -1636348.19,  5319489.81,      55.419688,       +1.279174,  111025.88,  307304.72,       0.00,               45.84,  -174.30,      0.00,           55337.23,     -2.40,     29.97,          20.18,  +6.52,  +4.08
  1,     UK0026,       0,  0.080452, 2459439.529796944465, 125.29474,  54.05963,               16.45859,  19.38176,        16.48406,       19.36492,    125.29474,     +54.05963,     125.26425,      +54.03653,  3306572.82, -1638029.08,  5315664.48,      55.409230,       +1.240508,  107195.90,  304112.31,    4708.15,             4753.99,   178.83,  58521.27,           55337.23,    -12.34,    155.25,         105.63,  +2.38,  -0.04
  2,     UK0026,       0,  0.120656, 2459439.529797409661, 125.64594,  53.87703,               16.30489,  19.14729,        16.31545,       19.14033,    125.64594,     +53.87703,     125.63364,      +53.86749,  3305669.91, -1638728.53,  5314072.70,      55.404871,       +1.224383,  105602.49,  302795.15,    6667.30,             6713.14,   -38.35,  48730.07,           55337.23,     -5.11,     64.06,          43.78,  +1.66,  -0.75
  3,     UK0026,       0,  0.160896, 2459439.529797875322, 126.04940,  53.65834,               16.12889,  18.86980,        16.11856,       18.87662,    126.04940,     +53.65834,     126.06266,      +53.66763,  3304620.58, -1639541.41,  5312222.77,      55.399799,       +1.205664,  103750.91,  301273.72,    8944.16,             8990.00,    60.25,  56582.16,           55337.23,      5.02,    -62.47,          42.91,  +1.30,  -1.09
  4,     UK0026,       0,  0.201116, 2459439.529798340984, 126.45258,  53.46205,               15.94416,  18.61431,        15.93020,       18.62351,    126.45258,     +53.46205,     126.47047,      +53.47456,  3303624.00, -1640313.43,  5310465.83,      55.394978,       +1.187873,  101992.65,  299837.56,   11106.57,            11152.41,    45.47,  53764.52,           54988.14,      6.75,    -84.03,          57.99,  +1.22,  -1.16
  5,     UK0026,       0,  0.241312, 2459439.529798806179, 126.87120,  53.30014,               15.73807,  18.38988,        15.75069,       18.38156,    126.87120,     +53.30014,     126.85675,      +53.28887,  3302680.81, -1641044.08,  5308803.04,      55.390409,       +1.171021,  100328.80,  298486.35,   13153.11,            13198.95,   -83.88,  50913.98,           54395.93,     -6.03,     75.68,          52.46,  +0.95,  -1.42
  6,     UK0026,       0,  0.281540, 2459439.529799271841, 127.29354,  53.09693,               15.53960,  18.12572,        15.55450,       18.11591,    127.29354,     +53.09693,     127.27640,      +53.08368,  3301655.74, -1641838.16,  5306995.89,      55.385439,       +1.152716,   98520.74,  297027.18,   15377.33,            15423.17,   -37.27,  55290.35,           54229.57,     -7.08,     89.02,          62.01,  +0.83,  -1.53
  7,     UK0026,       0,  0.321764, 2459439.529799737036, 127.68511,  52.88837,               15.35917,  17.86191,        15.36480,       17.85820,    127.68511,     +52.88837,     127.67952,      +52.88339,  3300671.52, -1642600.61,  5305260.74,      55.380662,       +1.135128,   96784.95,  295635.10,   17512.92,            17558.76,   -79.09,  53092.42,           54069.96,     -2.67,     33.50,          23.44,  +0.78,  -1.57
  8,     UK0026,       0,  0.361996, 2459439.529800202698, 128.05469,  52.66846,               15.19323,  17.59106,        15.17676,       17.60188,    128.05469,     +52.66846,     128.07656,      +52.68299,  3299702.35, -1643351.39,  5303552.14,      55.375954,       +1.117801,   95075.93,  294273.05,   19615.84,            19661.68,  -154.00,  52269.89,           53882.35,      7.83,    -97.60,          68.63,  +0.81,  -1.53
  9,     UK0026,       0,  0.402240, 2459439.529800668824, 128.51794,  52.45259,               14.96629,  17.30993,        14.96452,       17.31109,    128.51794,     +52.45259,     128.52182,      +52.45415,  3298614.45, -1644194.14,  5301634.23,      55.370662,       +1.098366,   93157.83,  292755.04,   21976.38,            22022.22,    28.05,  58655.59,           54019.43,      0.84,    -10.48,           7.41,  +0.79,  -1.54
 10,     UK0026,       0,  0.442456, 2459439.529801134020, 128.86484,  52.24592,               14.80649,  17.05634,        14.78778,       17.06861,    128.86484,     +52.24592,     128.88993,      +52.26230,  3297716.33, -1644889.88,  5300050.88,      55.366289,       +1.082288,   91574.49,  291509.86,   23925.14,            23970.99,  -200.15,  48457.51,           53863.04,      8.83,   -110.04,          78.11,  +1.17,  -1.15
  0,     UK002F,       1,  0.070023, 2459439.529796823394, 118.63858,  46.32799,               22.27372,  12.08829,        22.24048,       12.10671,    118.63858,     +46.32799,     118.67414,      +46.35633,  3306897.37, -1637777.67,  5316236.65,      55.410796,       +1.246286,  107768.69,  444072.20,       0.00,             4049.79,    39.18,      0.00,           55035.89,     79.31,   -278.52,         134.51,  +3.14,  -0.10
  1,     UK002F,       1,  0.110175, 2459439.529797288124, 118.84470,  46.15520,               22.19621,  11.87752,        22.12805,       11.91524,    118.84470,     +46.15520,     118.91755,      +46.21316,  3305863.46, -1638578.59,  5314413.92,      55.405805,       +1.227848,  105944.05,  442609.60,    2243.38,             6293.17,   109.06,  55872.26,           55035.89,    162.59,   -569.13,         275.83,  +1.08,  -2.15
  2,     UK002F,       1,  0.150331, 2459439.529797752853, 119.09158,  45.98255,               22.09052,  11.65742,        22.00483,       11.70480,    119.09158,     +45.98255,     119.18335,      +46.05522,  3304735.37, -1639452.49,  5312425.13,      55.400354,       +1.207738,  103953.46,  441021.69,    4691.15,             8740.94,   383.10,  60956.48,           55035.89,    204.05,   -713.15,         346.92,  +0.99,  -2.23
  3,     UK002F,       1,  0.190447, 2459439.529798217583, 119.27918,  45.85030,               22.00987,  11.48925,        21.91057,       11.54413,    119.27918,     +45.85030,     119.38571,      +45.93435,  3303879.46, -1640115.53,  5310916.22,      55.396214,       +1.192436,  102443.35,  439821.21,    6548.31,            10598.09,    68.70,  46294.60,           55035.89,    236.15,   -824.40,         402.17,  +0.31,  -2.91
  4,     UK002F,       1,  0.230583, 2459439.529798681848, 119.49068,  45.69821,               21.91922,  11.29691,        21.80339,       11.36088,    119.49068,     +45.69821,     119.61513,      +45.79603,  3302909.21, -1640867.15,  5309205.69,      55.391516,       +1.175107,  100731.69,  438466.50,    8653.59,            12703.38,     1.35,  52453.83,           53843.33,    275.06,   -958.88,         469.27,  +0.52,  -2.69
  5,     UK002F,       1,  0.270723, 2459439.529799146578, 119.74951,  45.53904,               21.79824,  11.08708,        21.68138,       11.15161,    119.74951,     +45.53904,     119.87538,      +45.63749,  3301808.84, -1641719.56,  5307265.80,      55.386182,       +1.155470,   98790.79,  436937.95,   11041.18,            15090.96,   216.08,  59481.48,           54307.97,    276.65,   -964.49,         473.67,  +0.13,  -3.07
  6,     UK002F,       1,  0.310855, 2459439.529799610842, 119.91568,  45.38794,               21.73626,  10.90622,        21.58634,       10.98890,    119.91568,     +45.38794,     120.07714,      +45.51394,  3300958.57, -1642378.24,  5305766.80,      55.382056,       +1.140254,   97291.18,  435761.19,   12886.13,            16935.91,  -111.39,  45971.95,           53580.93,    354.98,  -1233.93,         607.76,  +0.19,  -3.01
  7,     UK002F,       1,  0.350987, 2459439.529800075572, 120.18115,  45.24065,               21.60507,  10.70637,        21.46650,       10.78281,    120.18115,     +45.24065,     120.33084,      +45.35686,  3299888.56, -1643207.13,  5303880.42,      55.376859,       +1.121144,   95404.29,  434288.07,   15207.85,            19257.64,    37.91,  57852.25,           53633.87,    326.80,  -1137.37,         562.05,  +0.33,  -2.86
  8,     UK002F,       1,  0.391123, 2459439.529800539836, 120.35350,  45.08354,               21.53946,  10.51851,        21.36772,       10.61313,    120.35350,     +45.08354,     120.53899,      +45.22723,  3299013.04, -1643885.37,  5302336.92,      55.372601,       +1.105472,   93860.54,  433087.54,   17107.57,            21157.36,  -235.01,  47332.05,           53238.46,    405.09,  -1405.70,         696.73,  +1.47,  -1.71
  0,     UK003B,       1,  0.070363, 2459439.529796828981, 117.59282,  47.61523,               22.69478,  13.96144,        22.70377,       13.95638,    117.59282,     +47.61523,     117.58362,      +47.60744,  3306937.05, -1637746.93,  5316306.61,      55.410987,       +1.246985,  107838.73,  398687.14,       0.00,             3963.68,   -65.35,      0.00,           54322.13,    -18.41,     67.73,          36.31,  +4.23,  +1.23
  1,     UK003B,       0,  0.110575, 2459439.529797294643, 117.87806,  47.45430,               22.56668,  13.74345,        22.57312,       13.73984,    117.87806,     +47.45430,     117.87171,      +47.44873,  3305860.15, -1638581.17,  5314408.07,      55.405789,       +1.227787,  105938.19,  397122.17,    2336.69,             6300.37,    94.59,  58109.29,           54322.13,    -13.14,     48.32,          26.01,  +1.85,  -1.14
  2,     UK003B,       0,  0.150751, 2459439.529797759373, 118.13928,  47.33031,               22.44007,  13.56595,        22.46108,       13.55414,    118.13928,     +47.33031,     118.11763,      +47.31219,  3304943.51, -1639291.25,  5312792.08,      55.401361,       +1.211416,  104320.70,  395795.53,    4325.63,             8289.31,   -91.28,  49505.59,           54322.13,    -42.69,    157.27,          84.92,  +1.36,  -1.63
  3,     UK003B,       0,  0.190963, 2459439.529798225034, 118.40871,  47.16001,               22.32352,  13.34322,        22.33158,       13.33870,    118.40871,     +47.16001,     118.40094,      +47.15308,  3303888.08, -1640108.85,  5310931.41,      55.396256,       +1.192585,  102458.55,  394275.61,    6615.71,            10579.39,    22.05,  56950.32,           54322.13,    -16.34,     60.11,          32.59,  +0.68,  -2.30
  4,     UK003B,       0,  0.231163, 2459439.529798690230, 118.68223,  47.01391,               22.19471,  13.14245,        22.20896,       13.13444,    118.68223,     +47.01391,     118.66803,      +47.00167,  3302895.16, -1640878.03,  5309180.93,      55.391448,       +1.174855,  100706.92,  392852.35,    8770.17,            12733.85,     0.41,  53593.47,           54278.79,    -28.79,    106.02,          57.68,  +0.14,  -2.83
  5,     UK003B,       0,  0.271363, 2459439.529799155425, 118.95493,  46.85980,               22.06820,  12.93453,        22.08393,       12.92571,    118.95493,     +46.85980,     118.93930,      +46.84634,  3301888.11, -1641658.15,  5307405.55,      55.386567,       +1.156870,   98930.59,  391415.79,   10955.29,            14918.97,     9.42,  54356.13,           54277.46,    -31.65,    116.59,          63.66,  +0.24,  -2.72
  6,     UK003B,       0,  0.311571, 2459439.529799620621, 119.21250,  46.69463,               21.95446,  12.71983,        21.95923,       12.71715,    119.21250,     +46.69463,     119.20871,      +46.69055,  3300889.54, -1642431.71,  5305645.12,      55.381721,       +1.139029,   97169.45,  389998.22,   13122.00,            17085.68,    -0.40,  53887.63,           54235.20,     -9.58,     35.26,          19.33,  -0.04,  -3.00
  7,     UK003B,       0,  0.351759, 2459439.529800085817, 119.45166,  46.54609,               21.84627,  12.52515,        21.84494,       12.52589,    119.45166,     +46.54609,     119.45455,      +46.54722,  3299980.27, -1643136.09,  5304042.11,      55.377304,       +1.122764,   95566.00,  388713.10,   15094.95,            19058.63,  -202.90,  49093.05,           53789.23,      2.66,     -9.78,           5.38,  -0.00,  -2.95
  8,     UK003B,       0,  0.391983, 2459439.529800551478, 119.70907,  46.36212,               21.73695,  12.29300,        21.71395,       12.30589,    119.70907,     +46.36212,     119.73534,      +46.38167,  3298942.09, -1643940.33,  5302211.84,      55.372256,       +1.104212,   93735.46,  387253.53,   17347.63,            21311.30,  -127.63,  56003.20,           53728.78,     46.02,   -168.93,          93.26,  +0.06,  -2.88
  9,     UK003B,       0,  0.432191, 2459439.529801016673, 119.99547,  46.20669,               21.59756,  12.08141,        21.58478,       12.08858,    119.99547,     +46.20669,     120.01098,      +46.21753,  3297924.53, -1644728.60,  5300417.92,      55.367303,       +1.086019,   91941.52,  385830.33,   19555.56,            23519.24,   -96.24,  54912.76,           53762.60,     25.47,    -93.60,          51.86,  +0.55,  -2.38

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.