Orbital Analysis for matched events on 20210813_233016.373_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.88° Bg 38.44° Vg 59.79km/s
mass 0.10420g, abs. mag -1.8
Path Details
------------
start 2.20° 53.55° 110.92km
end   1.98° 53.42° 91.64km

Orbit Details
-------------
Semimajor axis 181.53A.U., eccentricity 0.99, inclination 113.64°, Period 2445.79Y, LA Sun 141.13°, last Perihelion 2021-07-25

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: 2459440.479356177151
Time: 2021-08-13 23:30:16.414060 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 70.65671 deg
 R.A. =  49.09649  Dec = +58.44985 deg

Best intersection: Stations UK002F and UK002K with Qconv = 70.66 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2844316.27 +/- 90.83 m
 Y =  -2614795.32 +/- 53.36 m
 Z =   5199194.43 +/- 68.79 m
 Vx =    20867.78 +/- 239.60 m/s
 Vy =    23891.99 +/- 107.88 m/s
 Vz =    51875.44 +/- 232.90 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.233938e+04, +6.398327e+03, +8.106344e+03, +3.023791e+04, +9.375838e+03, +5.182967e+03
+6.398327e+03, +3.622575e+03, +4.520678e+03, +1.554244e+04, +5.150520e+03, +2.752186e+03
+8.106344e+03, +4.520678e+03, +5.757483e+03, +1.946421e+04, +5.958838e+03, +2.962620e+03
+3.023791e+04, +1.554244e+04, +1.946421e+04, +7.845337e+04, +2.481896e+04, +1.445100e+04
+9.375838e+03, +5.150520e+03, +5.958838e+03, +2.481896e+04, +1.016846e+04, +6.774533e+03
+5.182967e+03, +2.752186e+03, +2.962620e+03, +1.445100e+04, +6.774533e+03, +4.983747e+03

Timing offsets (from input data):
    UK002F: -0.000315 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:30:16.414060 UTC
  Lon     = ++2.223767 +/- 0.0015 deg
  Lat     = +53.564360 +/- 0.0002 deg
  Lat geo = +53.383507 +/- 0.0002 deg
  Ht      =  113190.89 +/- 72.33 m

  JD dynamic   = 2459440.480157385115 
  LST apparent = 317.4075054828 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.86533 +/- 0.2223 deg
  Dec       = +58.55400 +/- 0.1504 deg
  Azimuth   =  45.22921 +/- 0.2550 deg
  Elevation = +42.72521 +/- 0.0310 deg
  Vavg      =  59.82973 +/- 0.1993 km/s
  Vinit     =  60.80586 +/- 0.1760 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.85250 +/- 0.2223 deg
  Dec       = +58.32813 +/- 0.1504 deg
  Azimuth   =  45.48258 +/- 0.2550 deg
  Elevation = +42.59737 +/- 0.0310 deg
  Vavg      =  59.97714 +/- 0.1993 km/s
  Vinit     =  60.95327 +/- 0.1760 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.09711 +/- 0.2266 deg
  Dec    = +58.22420 +/- 0.1492 deg
  Vg     =  59.78533 +/- 0.1790 km/s
  Vinf   =  60.80586 +/- 0.1760 km/s
  Zc     =  47.40229 +/- 0.0311 deg
  Zg     =  47.82801 +/- 0.0307 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.88310 +/- 0.2041 deg
  Bg     = +38.43781 +/- 0.1044 deg
  Vh     =  41.79121 +/- 0.0962 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.75445 +/- 0.6610 deg
  Bh     = +62.79073 +/- 0.1618 deg
  Vh_x   =  -2.41003 +/- 0.2325 km/s
  Vh_y   = -18.95610 +/- 0.1273 km/s
  Vh_z   = -37.16670 +/- 0.0358 km/s
Orbit:
  La Sun = 141.128988 +/- 0.0000 deg
  a      = 181.528719 +/- 497.0497 AU
  e      =   0.994741 +/- 0.0086
  i      = 113.642738 +/- 0.2910 deg
  peri   = 152.183461 +/- 0.4806 deg
  node   = 141.127958 +/- 0.0000 deg
  Pi     = 293.311419 +/- 0.4806 deg
  q      =   0.954694 +/- 0.0018 AU
  f      =  27.812540 +/- 0.4806 deg
  M      =   0.007817 +/- nan deg
  Q      = 362.102744 +/- 994.0996 AU
  n      =   0.000403 +/- 0.0009 deg/day
  T      = 2445.787104 +/- 489891972.7260 years
  Last perihelion JD = 2459421.081397 (2021-07-25 13:57:12.724598) +/- 0.3652 days
  Tj     =  -0.456513 +/- 0.0536
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.435949e-05, +1.428830e-05, +2.768566e-03, -3.098019e-09, +6.742792e-05, +4.100074e-05
q   , +1.428830e-05, +5.178863e-06, +9.153833e-04, -9.548566e-10, +2.335234e-05, +1.263006e-05
Tp  , +2.768566e-03, +9.153833e-04, +1.641692e-01, -1.733470e-07, +4.156912e-03, +2.293109e-03
node, -3.098019e-09, -9.548566e-10, -1.733470e-07, +1.858737e-13, -4.362588e-09, -2.458931e-09
peri, +6.742792e-05, +2.335234e-05, +4.156912e-03, -4.362588e-09, +1.056617e-04, +5.770739e-05
i   , +4.100074e-05, +1.263006e-05, +2.293109e-03, -2.458931e-09, +5.770739e-05, +3.252935e-05

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: UK002K
  Avg. res. = 7.029e-06 s
  Stddev    = 2.65e-03 s

Begin point on the trajectory:
  Lon =     2.197865 +/- 0.0011 deg
  Lat =    53.549055 +/- 0.0000 deg
  Ht  = 110918.97 +/- 47.93 m
End point on the trajectory:
  Lon =     1.975699 +/- 0.0009 deg
  Lat =    53.418297 +/- 0.0001 deg
  Ht  = 91643.70 +/- 37.74 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,  10.566610,   5.117273,   107909.82,    93044.85,          0.011450,     17.65,     59.49,              21.94, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_233006_645_0253184.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   110918.97,    91643.70,          0.008156,     22.31,     15.99,              35.94, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_233017_084_0295168.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,  0.114302, 2459440.479357375298,  64.66947,  38.33203,               50.62173,  18.42604,        50.64145,       18.43134,     64.66947,     +38.33203,      64.64644,      +38.32486,  2841643.86, -2617855.02,  5192551.06,      53.528749,       +2.163279,  107909.82,  318753.90,       0.00,             7787.03,     0.35,      0.00,           61455.03,   -103.66,     30.85,          69.99,  +2.29,  -0.23
  1,     UK002F,       0,  0.154430, 2459440.479357839562,  64.72916,  38.18422,               50.67719,  18.28018,        50.68491,       18.28226,     64.72916,     +38.18422,      64.72031,      +38.18141,  2840877.47, -2618732.49,  5190645.87,      53.518520,       +2.145841,  106396.21,  316685.60,    2233.17,            10020.20,  -206.49,  55651.17,           61455.03,    -40.40,     12.00,          27.45,  +2.16,  -0.34
  2,     UK002F,       0,  0.194586, 2459440.479358304292,  64.81558,  38.00655,               50.73381,  18.09771,        50.73848,       18.09897,     64.81558,     +38.00655,      64.81047,      +38.00486,  2839949.37, -2619795.08,  5188338.72,      53.506123,       +2.124760,  104563.80,  314185.84,    4937.50,            12724.53,    56.12,  67345.63,           61455.03,    -24.26,      7.20,          16.61,  +1.50,  -0.99
  3,     UK002F,       0,  0.234726, 2459440.479358769022,  64.87973,  37.84363,               50.79533,  17.93745,        50.78618,       17.93499,     64.87973,     +37.84363,      64.89090,      +37.84694,  2839131.12, -2620731.92,  5186304.62,      53.495185,       +2.106154,  102948.75,  311983.83,    7321.78,            15108.81,    -0.35,  59399.01,           61455.03,     47.26,    -14.01,          32.59,  +1.72,  -0.75
  4,     UK002F,       0,  0.274882, 2459440.479359233752,  64.95933,  37.66288,               50.85762,  17.75547,        50.83980,       17.75066,     64.95933,     +37.66288,      64.98076,      +37.66932,  2838225.31, -2621769.00,  5184052.86,      53.483066,       +2.085575,  101161.41,  309550.35,    9961.19,            17748.22,   197.33,  65728.87,           62300.87,     91.39,    -27.05,          63.51,  +1.55,  -0.90
  5,     UK002F,       0,  0.315022, 2459440.479359698482,  65.06176,  37.51659,               50.88253,  17.58986,        50.88604,       17.59081,     65.06176,     +37.51659,      65.05852,      +37.51532,  2837450.74, -2622655.82,  5182127.35,      53.472695,       +2.067954,   99633.48,  307471.00,   12218.17,            20005.20,    13.57,  56227.82,           61675.03,    -17.90,      5.32,          12.53,  +2.91,  +0.47
  6,     UK002F,       0,  0.355158, 2459440.479360163212,  65.13606,  37.36484,               50.92921,  17.43326,        50.93133,       17.43384,     65.13606,     +37.36484,      65.13460,      +37.36408,  2836700.17, -2623515.17,  5180261.49,      53.462638,       +2.050874,   98153.27,  305458.27,   14405.24,            22192.28,  -239.86,  54491.52,           60682.05,    -10.76,      3.20,           7.58,  +1.43,  -0.99
  7,     UK002F,       0,  0.395306, 2459440.479360627476,  65.19645,  37.18293,               51.00386,  17.25912,        50.98339,       17.25360,     65.19645,     +37.18293,      65.22140,      +37.19029,  2835850.81, -2624487.61,  5178150.07,      53.451250,       +2.031568,   96478.73,  303184.82,   16880.14,            24667.18,  -206.19,  61644.43,           60348.48,    103.10,    -30.53,          73.15,  +1.33,  -1.08
  8,     UK002F,       0,  0.435470, 2459440.479361092672,  65.30721,  37.01172,               51.03781,  17.06921,        51.03663,       17.06890,     65.30721,     +37.01172,      65.30992,      +37.01214,  2834993.49, -2625469.19,  5176018.83,      53.439745,       +2.012083,   94788.99,  300893.41,   19378.28,            27165.31,  -150.27,  62198.29,           60316.19,      5.88,     -1.75,           4.21,  +1.25,  -1.14
  9,     UK002F,       0,  0.475634, 2459440.479361557402,  65.39441,  36.82325,               51.09787,  16.87665,        51.09239,       16.87518,     65.39441,     +36.82325,      65.40226,      +36.82522,  2834108.29, -2626482.66,  5173818.32,      53.427857,       +1.991971,   93044.85,  298531.40,   21957.61,            29744.64,   -13.14,  64220.01,           60512.80,     27.21,     -8.08,          19.61,  +1.32,  -1.05
  0,     UK002K,       1,  0.000000, 2459440.479356177151,  25.69601,  26.51858,               87.98098,  32.21760,        87.97567,       32.20913,     25.69601,     +26.51858,      25.70561,      +26.51523,  2844305.42, -2614807.74,  5199167.47,      53.564216,       +2.223691,  113169.44,  207792.33,       0.00,               31.61,  -804.82,      0.00,           67153.89,     20.26,     28.25,          34.51,  +5.07,  +3.48
  1,     UK002K,       0,  0.040352, 2459440.479356644209,  25.48264,  26.01087,               88.54713,  31.96400,        88.54151,       31.95510,     25.48264,     +26.01087,      25.49290,      +26.00736,  2843166.90, -2616111.26,  5196337.21,      53.549055,       +2.197865,  110918.97,  205104.67,    3317.49,             3349.10,    59.03,  82213.81,           67153.89,     21.05,     29.36,          36.33,  +2.77,  +1.21
  2,     UK002K,       0,  0.080616, 2459440.479357109871,  25.35502,  25.64289,               88.93474,  31.76339,        88.94135,       31.77377,     25.35502,     +25.64289,      25.34265,      +25.64698,  2842376.25, -2617016.49,  5194371.72,      53.538517,       +2.179879,  109356.65,  203246.39,    5621.33,             5652.94,   -85.41,  57218.44,           67153.89,    -24.41,    -34.00,          42.48,  +2.00,  +0.46
  3,     UK002K,       0,  0.120900, 2459440.479357576463,  25.17030,  25.22655,               89.40417,  31.55966,        89.40492,       31.56081,     25.17030,     +25.22655,      25.16900,      +25.22701,  2841473.46, -2618050.12,  5192127.47,      53.526475,       +2.159367,  107573.26,  201137.30,    8251.94,             8283.55,    95.69,  65301.52,           67153.89,     -2.70,     -3.76,           4.75,  +1.31,  -0.21
  4,     UK002K,       0,  0.161172, 2459440.479358042590,  25.01714,  24.83409,               89.82874,  31.35442,        89.83347,       31.36174,     25.01714,     +24.83409,      25.00873,      +24.83697,  2840651.75, -2618990.92,  5190084.76,      53.515506,       +2.140682,  105950.51,  199227.69,   10646.30,            10677.91,    41.28,  59454.79,           65098.52,    -16.96,    -23.64,          30.12,  +1.22,  -0.28
  5,     UK002K,       0,  0.201432, 2459440.479358508252,  24.84478,  24.44894,               90.26200,  31.16543,        90.25951,       31.16161,     24.84478,     +24.44894,      24.84970,      +24.44744,  2839846.76, -2619912.56,  5188083.63,      53.504752,       +2.122374,  104361.24,  197367.14,   12991.93,            13023.54,   -61.14,  58261.88,           63535.08,      8.77,     12.24,          15.73,  +1.15,  -0.33
  6,     UK002K,       0,  0.241740, 2459440.479358974844,  24.67607,  24.00769,               90.73384,  30.93100,        90.73632,       30.93477,     24.67607,     +24.00769,      24.67220,      +24.00917,  2838959.46, -2620928.45,  5185877.89,      53.492889,       +2.102211,  102609.98,  195329.57,   15577.40,            15609.01,    73.37,  64142.87,           63041.58,     -8.60,    -11.99,          15.58,  +0.88,  -0.57
  7,     UK002K,       0,  0.281992, 2459440.479359440971,  24.50874,  23.63133,               91.15411,  30.74428,        91.14894,       30.73645,     24.50874,     +23.63133,      24.51871,      +23.62825,  2838202.94, -2621794.61,  5183997.24,      53.482767,       +2.084996,  101117.26,  193601.35,   17781.80,            17813.41,  -169.79,  54765.01,           62146.84,     17.71,     24.72,          32.39,  +1.03,  -0.40
  8,     UK002K,       0,  0.322316, 2459440.479359907564,  24.33442,  23.16578,               91.64600,  30.49300,        91.64668,       30.49402,     24.33442,     +23.16578,      24.33414,      +23.16618,  2837303.79, -2622824.07,  5181762.04,      53.470727,       +2.064567,   99343.64,  191562.00,   20401.80,            20433.41,    -1.73,  64973.67,           61917.84,     -2.28,     -3.18,           4.21,  +0.63,  -0.78
  9,     UK002K,       0,  0.362608, 2459440.479360373691,  24.15534,  22.73804,               92.11191,  30.27251,        92.10802,       30.26670,     24.15534,     +22.73804,      24.16327,      +22.73576,  2836483.21, -2623763.57,  5179722.14,      53.459730,       +2.045909,   97725.48,  189712.60,   22792.86,            22824.47,   -60.65,  59343.38,           61660.81,     12.94,     18.06,          24.15,  +0.77,  -0.62
 10,     UK002K,       0,  0.402892, 2459440.479360839818,  23.98709,  22.31868,               92.56140,  30.05119,        92.55615,       30.04341,     23.98709,     +22.31868,      23.99751,      +22.31562,  2835697.57, -2624663.07,  5177769.11,      53.449194,       +2.028039,   96176.65,  187953.11,   25082.11,            25113.72,  -220.90,  56827.83,           61300.94,     17.22,     24.04,          32.45,  +0.64,  -0.73
 11,     UK002K,       0,  0.443212, 2459440.479361306876,  23.81360,  21.85253,               93.04837,  29.79622,        93.04779,       29.79536,     23.81360,     +21.85253,      23.81604,      +21.85219,  2834848.14, -2625635.60,  5175657.50,      53.437793,       +2.008731,   94502.55,  186064.66,   27557.23,            27588.84,  -197.48,  61386.87,           61096.62,      1.90,      2.65,           3.62,  +0.69,  -0.66
 12,     UK002K,       0,  0.483552, 2459440.479361773469,  23.61386,  21.35129,               93.58100,  29.52881,        93.57793,       29.52432,     23.61386,     +21.35129,      23.62073,      +21.34953,  2833946.38, -2626668.05,  5173415.81,      53.425681,       +1.988245,   92725.88,  184075.87,   30184.84,            30216.45,   -22.78,  65136.54,           61106.53,      9.79,     13.66,          18.83,  +0.61,  -0.71
 13,     UK002K,       0,  0.523756, 2459440.479362239130,  23.48126,  21.04390,               93.91508,  29.37024,        93.90526,       29.35596,     23.48126,     +21.04390,      23.49982,      +21.03831,  2833397.01, -2627297.03,  5172050.14,      53.418297,       +1.975699,   91643.70,  182868.45,   31785.61,            31817.22,  -866.64,  39816.25,           60505.78,     30.93,     43.20,          59.93,  +1.93,  +0.62

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.