Orbital Analysis for matched events on 20210813_224549.252_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.22° Bg 38.33° Vg 57.56km/s
mass 0.09017g, abs. mag -1.6
Path Details
------------
start 2.68° 53.16° 106.89km
end   2.56° 53.06° 96.22km

Orbit Details
-------------
Semimajor axis 6.71A.U., eccentricity 0.86, inclination 111.39°, Period 17.37Y, LA Sun 141.10°, 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: 2459440.448486720212
Time: 2021-08-13 22:45:49.252626 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 38.62745 deg
 R.A. =  54.16570  Dec = +59.49864 deg

Best intersection: Stations UK002F and UK002K with Qconv = 38.63 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2330095.23 +/- 113.61 m
 Y =  -3123234.20 +/- 40.90 m
 Z =   5166744.51 +/- 49.21 m
 Vx =    17705.54 +/- 879.85 m/s
 Vy =    24043.18 +/- 555.23 m/s
 Vz =    50450.54 +/- 1132.13 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.038603e+04, +3.400279e+03, +3.661497e+03, +5.265190e+04, +2.629968e+04, +3.366188e+04
+3.400279e+03, +1.725336e+03, +1.471975e+03, +1.827173e+04, +1.100719e+04, +1.078697e+04
+3.661497e+03, +1.471975e+03, +2.574325e+03, +1.504178e+04, +5.018357e+03, +6.643923e+03
+5.265190e+04, +1.827173e+04, +1.504178e+04, +5.502297e+05, +3.062372e+05, +4.707883e+05
+2.629968e+04, +1.100719e+04, +5.018357e+03, +3.062372e+05, +2.026689e+05, +3.065952e+05
+3.366188e+04, +1.078697e+04, +6.643923e+03, +4.707883e+05, +3.065952e+05, +5.393939e+05

Timing offsets (from input data):
    UK002F: 0.000316 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 22:45:49.252626 UTC
  Lon     = ++2.684715 +/- 0.0016 deg
  Lat     = +53.158913 +/- 0.0003 deg
  Lat geo = +52.977121 +/- 0.0003 deg
  Ht      =  106888.32 +/- 58.76 m

  JD dynamic   = 2459440.449287461117 
  LST apparent = 306.7248539124 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.63184 +/- 0.8539 deg
  Dec       = +59.38095 +/- 0.4112 deg
  Azimuth   =  37.52353 +/- 0.7270 deg
  Elevation = +36.86303 +/- 0.1161 deg
  Vavg      =  56.32227 +/- 0.6086 km/s
  Vinit     =  58.62438 +/- 1.0715 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  53.47470 +/- 0.8539 deg
  Dec       = +59.15273 +/- 0.4112 deg
  Azimuth   =  37.79780 +/- 0.7270 deg
  Elevation = +36.76148 +/- 0.1161 deg
  Vavg      =  56.46127 +/- 0.6086 km/s
  Vinit     =  58.76337 +/- 1.0715 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.92496 +/- 0.8811 deg
  Dec    = +58.94367 +/- 0.3986 deg
  Vg     =  57.56416 +/- 1.0925 km/s
  Vinf   =  58.62438 +/- 1.0715 km/s
  Zc     =  53.28123 +/- 0.1163 deg
  Zg     =  53.80578 +/- 0.1249 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.21830 +/- 0.6866 deg
  Bg     = +38.32594 +/- 0.2666 deg
  Vh     =  40.23826 +/- 0.7779 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  92.25263 +/- 2.9719 deg
  Bh     = +62.51854 +/- 0.5015 deg
  Vh_x   =   0.72984 +/- 0.8235 km/s
  Vh_y   = -18.55406 +/- 0.7345 km/s
  Vh_z   = -35.69778 +/- 0.5598 km/s
Orbit:
  La Sun = 141.099340 +/- 0.0000 deg
  a      =   6.707133 +/- 1.3621 AU
  e      =   0.863987 +/- 0.0584
  i      = 111.387568 +/- 1.3125 deg
  peri   = 141.747187 +/- 3.3894 deg
  node   = 141.098191 +/- 0.0001 deg
  Pi     = 282.845378 +/- 3.3893 deg
  q      =   0.912257 +/- 0.0131 AU
  f      =  38.248810 +/- 3.3895 deg
  M      =   1.509348 +/- 1.8494 deg
  Q      =  12.502010 +/- 2.7133 AU
  n      =   0.056741 +/- 0.0503 deg/day
  T      =  17.370250 +/- 4.5065 years
  Last perihelion JD = 2459413.848727 (2021-07-18 08:22:10.053350) +/- 2.5059 days
  Tj     =   0.359026 +/- 0.3874
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.176935e-03, +5.906776e-04, +1.251517e-01, -7.676354e-08, +2.848336e-03, +1.049132e-03
q   , +5.906776e-04, +1.380458e-04, +2.653095e-02, -1.744349e-08, +6.277904e-04, +2.389790e-04
Tp  , +1.251517e-01, +2.653095e-02, +5.309107e+00, -3.393091e-06, +1.235902e-01, +4.644474e-02
node, -7.676354e-08, -1.744349e-08, -3.393091e-06, +2.345361e-12, -7.989920e-08, -3.210554e-08
peri, +2.848336e-03, +6.277904e-04, +1.235902e-01, -7.989920e-08, +2.896030e-03, +1.094076e-03
i   , +1.049132e-03, +2.389790e-04, +4.644474e-02, -3.210554e-08, +1.094076e-03, +4.395246e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.041198
 a2 = 30.568795

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 6.606e-06 s
  Stddev    = 2.57e-03 s

Begin point on the trajectory:
  Lon =     2.684713 +/- 0.0016 deg
  Lat =    53.158911 +/- 0.0002 deg
  Ht  = 106888.19 +/- 48.64 m
End point on the trajectory:
  Lon =     2.555795 +/- 0.0018 deg
  Lat =    53.058771 +/- 0.0003 deg
  Ht  = 96215.13 +/- 49.32 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,   0.065791,  29.389326,   106431.78,    96792.68,          0.013969,     34.47,     68.81,              28.65, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_224547_748_0193536.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.005702,  36.669021,   106888.19,    96215.13,          0.010677,     39.78,     18.08,              55.34, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_224542_386_0228352.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,  0.019153, 2459440.448486830108,  44.79846,  31.72384,               60.82274,  17.69529,        60.81690,       17.68892,     44.79846,     +31.72384,      44.80826,      +31.72244,  2329865.38, -3123546.32,  5166089.58,      53.154645,       +2.679222,  106431.78,  325603.71,       0.00,              761.05,   -66.41,      0.00,           59644.32,     42.96,     21.54,          30.45,  +3.01,  +0.45
  1,     UK002F,       0,  0.059265, 2459440.448487294372,  44.77453,  31.52377,               60.97225,  17.55337,        60.97521,       17.55660,     44.77453,     +31.52377,      44.76974,      +31.52448,  2329139.33, -3124532.26,  5164020.76,      53.141157,       +2.661831,  104990.01,  323479.12,    2404.01,             3165.05,   -13.94,  59932.35,           59644.32,    -21.63,    -10.83,          15.42,  +2.36,  -0.19
  2,     UK002F,       0,  0.099357, 2459440.448487758171,  44.71167,  31.32377,               61.14854,  17.43250,        61.13756,       17.42056,     44.71167,     +31.32377,      44.73034,      +31.32115,  2328403.50, -3125531.48,  5161924.08,      53.127479,       +2.644212,  103529.40,  321330.15,    4840.38,             5601.43,    72.07,  60769.67,           59644.32,     79.60,     39.93,          57.17,  +1.78,  -0.75
  3,     UK002F,       0,  0.139469, 2459440.448488222435,  44.68475,  31.12601,               61.29831,  17.29392,        61.29396,       17.28919,     44.68475,     +31.12601,      44.69250,      +31.12497,  2327702.60, -3126483.27,  5159926.91,      53.114442,       +2.627424,  102138.63,  319286.61,    7161.13,             7922.18,    41.27,  57856.69,           59644.32,     31.35,     15.71,          22.66,  +1.69,  -0.83
  4,     UK002F,       0,  0.179565, 2459440.448488686699,  44.64824,  30.94246,               61.44519,  17.17150,        61.44019,       17.16607,     44.64824,     +30.94246,      44.65723,      +30.94128,  2327054.07, -3127363.93,  5158078.98,      53.102372,       +2.611881,  100852.26,  317398.53,    9308.45,            10069.50,  -162.01,  53554.48,           58285.30,     35.82,     17.95,          26.04,  +1.43,  -1.08
  5,     UK002F,       0,  0.219705, 2459440.448489151429,  44.63957,  30.70847,               61.60591,  16.99485,        61.62220,       17.01248,     44.63957,     +30.70847,      44.61340,      +30.71230,  2326257.21, -3128446.03,  5155808.38,      53.087531,       +2.592824,   99272.27,  315085.44,   11946.93,            12707.98,   123.29,  65731.89,           58961.79,   -115.76,    -57.86,          84.72,  +1.52,  -0.97
  6,     UK002F,       0,  0.259777, 2459440.448489615228,  44.56697,  30.53638,               61.77016,  16.90087,        61.76312,       16.89324,     44.56697,     +30.53638,      44.57962,      +30.53472,  2325646.38, -3129275.50,  5154067.87,      53.076149,       +2.578179,   98061.58,  313313.64,   13969.43,            14730.48,  -203.41,  50471.66,           58294.47,     49.72,     24.92,          36.62,  +1.84,  -0.64
  7,     UK002F,       0,  0.299869, 2459440.448490079027,  44.51795,  30.34985,               61.92743,  16.78288,        61.91243,       16.76664,     44.51795,     +30.34985,      44.54390,      +30.34632,  2325005.97, -3130145.14,  5152243.08,      53.064209,       +2.562836,   96792.68,  311459.87,   16089.87,            16850.92,  -433.34,  52889.38,           57566.14,    105.30,     52.84,          78.02,  +3.37,  +0.90
  0,     UK002K,       0,  0.000000, 2459440.448486720212,   9.75308,  14.83326,              100.44302,  26.01976,       100.42900,       25.99527,      9.75308,     +14.83326,       9.77873,      +14.82137,  2330095.16, -3123234.30,  5166744.32,      53.158911,       +2.684713,  106888.19,  235892.30,       0.00,                0.23,   295.59,      0.00,           55316.73,     46.89,    103.21,          99.13,  +3.22,  +1.36
  1,     UK002K,       0,  0.040252, 2459440.448487185873,   9.58384,  14.43461,              100.85568,  25.80078,       100.85461,       25.79892,      9.58384,     +14.43461,       9.58592,      +14.43371,  2329444.50, -3124117.85,  5164890.34,      53.146827,       +2.669109,  105595.96,  234649.86,    2154.36,             2154.59,    90.20,  53521.86,           55316.73,      3.55,      7.81,           7.54,  +1.88,  +0.03
  2,     UK002K,       0,  0.080500, 2459440.448487652000,   9.37758,  14.01898,              101.31041,  25.58909,       101.30921,       25.58701,      9.37758,     +14.01898,       9.38006,      +14.01798,  2328754.60, -3125054.70,  5162924.52,      53.134006,       +2.652577,  104226.26,  233347.66,    4438.68,             4438.90,    15.00,  56756.01,           55316.73,      3.96,      8.70,           8.45,  +1.81,  -0.03
  3,     UK002K,       0,  0.120740, 2459440.448488117661,   9.16693,  13.61425,              101.76062,  25.38786,       101.75451,       25.37738,      9.16693,     +13.61425,       9.17840,      +13.60917,  2328083.84, -3125965.56,  5161013.22,      53.121534,       +2.636502,  102895.04,  232095.96,    6659.64,             6659.86,  -123.08,  55192.79,           55316.73,     19.86,     43.68,          42.64,  +1.09,  -0.74
  4,     UK002K,       0,  0.160992, 2459440.448488583323,   8.97289,  13.20112,              102.20104,  25.16942,       102.19905,       25.16604,      8.97289,     +13.20112,       8.97707,      +13.19948,  2327419.01, -3126868.36,  5159118.85,      53.109164,       +2.620570,  101576.07,  230869.74,    8860.92,             8861.15,  -281.54,  54687.69,           55226.50,      6.38,     14.02,          13.76,  +1.32,  -0.50
  5,     UK002K,       0,  0.201308, 2459440.448489049915,   8.71549,  12.67060,              102.77207,  24.89252,       102.77098,       24.89066,      8.71549,     +12.67060,       8.71824,      +12.66970,  2326570.19, -3128021.01,  5156700.21,      53.093361,       +2.600279,   99892.77,  229328.20,   11671.43,            11671.65,   165.46,  69711.84,           57273.76,      3.49,      7.67,           7.57,  +1.16,  -0.64
  6,     UK002K,       0,  0.241556, 2459440.448489516042,   8.52887,  12.26186,              103.20067,  24.67149,       103.20548,       24.67956,      8.52887,     +12.26186,       8.52134,      +12.26578,  2325930.60, -3128889.54,  5154877.76,      53.081446,       +2.584951,   98624.88,  228180.28,   13789.15,            13789.37,   -76.33,  52616.78,           57505.48,    -15.15,    -33.29,          33.06,  +0.90,  -0.89
  7,     UK002K,       0,  0.281812, 2459440.448489981703,   8.31094,  11.82782,              103.67174,  24.44735,       103.67331,       24.44995,      8.31094,     +11.82782,       8.30933,      +11.82909,  2325246.56, -3129818.43,  5152928.62,      53.068695,       +2.568572,   97269.35,  226968.82,   16054.07,            16054.30,  -171.39,  56263.01,           57498.48,     -4.87,    -10.71,          10.69,  +1.03,  -0.75
  8,     UK002K,       0,  0.322012, 2459440.448490447365,   8.14386,  11.48517,              104.03848,  24.26688,       104.03970,       24.26891,      8.14386,     +11.48517,       8.14304,      +11.48616,  2324714.41, -3130541.06,  5151412.31,      53.058771,       +2.555795,   96215.13,  226035.45,   17816.05,            17816.28,  -766.11,  43830.32,           56585.48,     -3.77,     -8.29,           8.32,  +3.93,  +2.16

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.