Orbital Analysis for matched events on 20210810_230221.464_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.31° Bg 46.18° Vg 56.88km/s
mass 0.04711g, abs. mag -1.6
Path Details
------------
start -5.76° 50.21° 109.38km
end   -5.91° 50.07° 92.98km

Orbit Details
-------------
Semimajor axis -10.05A.U., eccentricity 1.10, inclination 102.33°, Period 1000000000.00Y, LA Sun 138.23°, 

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: 2459437.459970657714
Time: 2021-08-10 23:02:21.466235 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0021
 Convergence angle = 8.79233 deg
 R.A. =  39.57930  Dec = +63.45414 deg

Best intersection: Stations UK000H and UK0021 with Qconv = 8.79 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2046467.23 +/- 131.43 m
 Y =  -3621490.33 +/- 201.72 m
 Z =   4962752.86 +/- 95.10 m
 Vx =    19145.23 +/- 643.91 m/s
 Vy =    15280.90 +/- 1008.29 m/s
 Vz =    52517.79 +/- 841.50 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.431137e+04, +2.220173e+04, -1.252539e+04, +5.653933e+04, +8.398901e+04, -2.793756e+04
+2.220173e+04, +3.474618e+04, -1.940921e+04, +8.733737e+04, +1.305399e+05, -4.330124e+04
-1.252539e+04, -1.940921e+04, +1.100602e+04, -4.944938e+04, -7.310244e+04, +2.443954e+04
+5.653933e+04, +8.733737e+04, -4.944938e+04, +2.442210e+05, +3.539577e+05, -1.158823e+05
+8.398901e+04, +1.305399e+05, -7.310244e+04, +3.539577e+05, +5.202563e+05, -1.699226e+05
-2.793756e+04, -4.330124e+04, +2.443954e+04, -1.158823e+05, -1.699226e+05, +5.600575e+04

Timing offsets (from input data):
    UK000H: 0.000739 s
    UK0021: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 23:02:21.466235 UTC
  Lon     = +-5.758462 +/- 0.0029 deg
  Lat     = +50.216847 +/- 0.0004 deg
  Lat geo = +50.030705 +/- 0.0004 deg
  Ht      =  109897.95 +/- 137.80 m

  JD dynamic   = 2459437.460771414917 
  LST apparent = 299.4703480839 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  38.59537 +/- 0.7668 deg
  Dec       = +64.99428 +/- 1.1142 deg
  Azimuth   =  33.46408 +/- 0.8779 deg
  Elevation = +40.80930 +/- 0.9451 deg
  Vavg      =  57.13398 +/- 0.3823 km/s
  Vinit     =  57.94967 +/- 0.3467 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  38.48421 +/- 0.7668 deg
  Dec       = +64.72647 +/- 1.1142 deg
  Azimuth   =  33.79338 +/- 0.8779 deg
  Elevation = +40.70099 +/- 0.9451 deg
  Vavg      =  57.26123 +/- 0.3823 km/s
  Vinit     =  58.07692 +/- 0.3467 km/s
Radiant (geocentric, J2000):
  R.A.   =  39.11962 +/- 0.7351 deg
  Dec    = +64.62843 +/- 1.1244 deg
  Vg     =  56.87756 +/- 0.3530 km/s
  Vinf   =  57.94967 +/- 0.3467 km/s
  Zc     =  49.34606 +/- 0.9435 deg
  Zg     =  49.83755 +/- 0.9482 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.30916 +/- 0.2371 deg
  Bg     = +46.17573 +/- 1.1634 deg
  Vh     =  42.88019 +/- 0.2869 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  92.08948 +/- 2.3192 deg
  Bh     = +73.13604 +/- 1.4278 deg
  Vh_x   =   0.45355 +/- 0.6509 km/s
  Vh_y   = -12.43129 +/- 0.8426 km/s
  Vh_z   = -41.03618 +/- 0.6263 km/s
Orbit:
  La Sun = 138.230241 +/- -0.0000 deg
  a      = -10.053533 +/- 75.2837 AU
  e      =   1.096928 +/- 0.0264
  i      = 102.329363 +/- 1.6593 deg
  peri   = 157.848490 +/- 0.6922 deg
  node   = 138.229545 +/- 0.0001 deg
  Pi     = 296.078035 +/- 0.6923 deg
  q      =   0.974466 +/- 0.0020 AU
  f      =  22.147637 +/- 0.6922 deg
  M      =        nan +/- nan deg
  Q      = -21.081532 +/- 150.5679 AU
  n      =   0.030919 +/- 0.0060 deg/day
  T      = 1000000000.000000 +/- 377739102.9543 years
  Last perihelion JD = NaN 
  Tj     =  -0.785256 +/- 0.1126
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.757720e-04, +2.059406e-05, +7.117110e-03, +3.067505e-08, +1.408305e-04, -4.127794e-04
q   , +2.059406e-05, +1.356130e-06, +4.306185e-04, +1.678958e-09, +8.798820e-06, -2.256975e-05
Tp  , +7.117110e-03, +4.306185e-04, +1.420331e-01, +5.806912e-07, +2.860051e-03, -7.809944e-03
node, +3.067505e-08, +1.678958e-09, +5.806912e-07, +2.530327e-12, +1.148723e-08, -3.405213e-08
peri, +1.408305e-04, +8.798820e-06, +2.860051e-03, +1.148723e-08, +5.791373e-05, -1.544680e-04
i   , -4.127794e-04, -2.256975e-05, -7.809944e-03, -3.405213e-08, -1.544680e-04, +4.582632e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.002751
 a2 = 27.082099

Mean time residuals from time vs. length:
  Station with reference time: UK0021
  Avg. res. = 1.447e-06 s
  Stddev    = 1.20e-03 s

Begin point on the trajectory:
  Lon =    -5.762988 +/- 0.0031 deg
  Lat =    50.212453 +/- 0.0006 deg
  Ht  = 109383.41 +/- 95.30 m
End point on the trajectory:
  Lon =    -5.909345 +/- 0.0042 deg
  Lat =    50.071650 +/- 0.0009 deg
  Ht  = 92977.62 +/- 151.49 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   109383.41,   103327.98,          0.003218,      4.33,     17.19,             110.30, 1.0000,    True,   False, {"ff_name": "FF_UK000H_20210810_230212_155_0248064.fits"}
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.002797,  27.044712,   107997.89,    92977.62,          0.018274,     25.35,     60.08,             101.39, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210810_230217_251_0241408.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,     UK000H,       0,  0.002022, 2459437.459970674012, 235.19923,   7.04001,              257.29380,  19.09859,       257.29272,       19.09921,    235.19923,      +7.04001,     235.20043,       +7.03986,  2046207.11, -3621697.95,  4962039.31,      50.212453,       -5.762988,  109383.41,  313586.62,       0.00,              787.35,   114.87,      0.00,           57332.12,     -6.34,      1.60,           4.30,  +3.14,  +0.66
  1,     UK000H,       0,  0.042338, 2459437.459971140604, 235.15220,   6.66283,              257.08532,  18.77369,       257.08624,       18.77317,    235.15220,      +6.66283,     235.15136,       +6.66296,  2045488.02, -3622271.90,  4960066.76,      50.200301,       -5.775668,  107961.27,  314237.74,    2176.57,             2963.92,   -44.86,  53987.72,           57332.12,      5.40,     -1.36,           3.65,  +1.26,  -1.23
  2,     UK000H,       0,  0.082690, 2459437.459971607663, 235.09604,   6.24344,              256.85770,  18.40973,       256.85722,       18.41001,    235.09604,      +6.24344,     235.09691,       +6.24337,  2044683.89, -3622913.72,  4957860.92,      50.186704,       -5.789827,  106371.43,  314980.89,    4610.56,             5397.91,    50.75,  60318.91,           57332.12,     -2.82,      0.71,           1.91,  +1.27,  -1.22
  3,     UK000H,       0,  0.123018, 2459437.459972074255, 235.05182,   5.85026,              256.63830,  18.07343,       256.64401,       18.07018,    235.05182,      +5.85026,     235.04603,       +5.85106,  2043928.58, -3623516.58,  4955789.02,      50.173926,       -5.803135,  104878.58,  315695.13,    6896.76,             7684.11,    -0.05,  56690.14,           57332.12,     33.79,     -8.51,          22.77,  +0.96,  -1.54
  4,     UK000H,       0,  0.163354, 2459437.459972541314, 234.99583,   5.44496,              256.42165,  17.72006,       256.42436,       17.71852,    234.99583,      +5.44496,     234.99352,       +5.44534,  2043143.82, -3624142.94,  4953636.31,      50.160641,       -5.816955,  103327.98,  316452.67,    9272.12,            10059.47,    37.86,  58889.43,           57678.98,     16.10,     -4.05,          10.82,  +0.76,  -1.74
  0,     UK0021,       1,  0.000000, 2459437.459970657714, 245.23380,  14.54797,              252.49763,  32.20699,       252.49015,       32.21029,    245.23380,     +14.54797,     245.24104,      +14.54660,  2046429.32, -3621520.60,  4962648.85,      50.216206,       -5.759116,  109822.94,  201799.02,       0.00,              114.77,  -440.54,      0.00,           61691.43,    -23.15,      9.77,          25.69,  +3.69,  +2.17
  1,     UK0021,       0,  0.040668, 2459437.459971128497, 245.10490,  13.77262,              252.04468,  31.52229,       252.06576,       31.51300,    245.10490,     +13.77262,     245.08463,      +13.77648,  2045506.54, -3622257.12,  4960117.55,      50.200614,       -5.775342,  107997.89,  202213.35,    2793.10,             2907.87,    -4.14,  68680.62,           61691.43,     65.76,    -27.78,          72.81,  +1.52,  -0.01
  2,     UK0021,       0,  0.081256, 2459437.459971598350, 244.98139,  13.09438,              251.66416,  30.91522,       251.69882,       30.89997,    244.98139,     +13.09438,     244.94804,      +13.10075,  2044693.79, -3622905.82,  4957888.08,      50.186872,       -5.789651,  106391.00,  202610.73,    5253.17,             5367.94,   103.87,  60610.76,           61691.43,    108.85,    -46.01,         120.31,  +1.37,  -0.16
  3,     UK0021,       0,  0.121808, 2459437.459972067736, 244.82535,  12.47739,              251.36171,  30.33547,       251.36494,       30.33405,    244.82535,     +12.47739,     244.82271,      +12.47798,  2043941.95, -3623505.91,  4955825.68,      50.174152,       -5.802901,  104904.99,  203005.00,    7528.88,             7643.65,    29.61,  56118.29,           61691.43,     10.22,     -4.31,          11.28,  +1.20,  -0.34
  4,     UK0021,       0,  0.162340, 2459437.459972536657, 244.70629,  11.86766,              251.03572,  29.78256,       251.04216,       29.77974,    244.70629,     +11.86766,     244.70069,      +11.86884,  2043203.71, -3624095.14,  4953800.61,      50.161655,       -5.815912,  103446.31,  203416.44,    9763.40,             9878.17,   -84.69,  55129.78,           59788.38,     20.47,     -8.64,          22.53,  +0.90,  -0.64
  5,     UK0021,       0,  0.202920, 2459437.459973006509, 244.56301,  11.20999,              250.70191,  29.17610,       250.69637,       29.17853,    244.56301,     +11.20999,     244.56927,      +11.20897,  2042400.51, -3624736.22,  4951597.32,      50.148050,       -5.830052,  101859.74,  203890.24,   12194.57,            12309.34,    -5.12,  59910.60,           59261.37,    -17.73,      7.48,          19.46,  +0.37,  -1.18
  6,     UK0021,       0,  0.243484, 2459437.459973475896, 244.44441,  10.55906,              250.35535,  28.58858,       250.36028,       28.58642,    244.44441,     +10.55906,     244.44060,      +10.55997,  2041606.86, -3625369.67,  4949420.25,      50.134599,       -5.844026,  100292.55,  204385.94,   14596.82,            14711.59,    46.46,  59221.11,           59068.76,     15.88,     -6.70,          17.40,  +0.38,  -1.17
  7,     UK0021,       0,  0.284052, 2459437.459973945282, 244.31500,   9.91082,              250.02457,  27.99561,       250.02823,       27.99401,    244.31500,      +9.91082,     244.31259,       +9.91149,  2040809.94, -3626005.74,  4947234.19,      50.121084,       -5.858055,   98719.39,  204910.90,   17008.99,            17123.76,   107.72,  59459.86,           59021.07,     11.88,     -5.01,          12.98,  +0.06,  -1.50
  8,     UK0021,       0,  0.324592, 2459437.459974414669, 244.15889,   9.30922,              249.75324,  27.42298,       249.72012,       27.43746,    244.15889,      +9.30922,     244.19286,       +9.30308,  2040058.51, -3626605.50,  4945172.92,      50.108333,       -5.871292,   97236.49,  205431.28,   19283.45,            19398.22,    32.90,  56104.06,           58804.51,   -108.26,     45.59,         117.95,  -0.24,  -1.80
  9,     UK0021,       0,  0.365124, 2459437.459974883590, 244.05730,   8.69233,              249.42661,  26.86967,       249.41264,       26.87577,    244.05730,      +8.69233,     244.07261,       +8.68973,  2039297.07, -3627213.25,  4943084.19,      50.095405,       -5.884701,   95734.29,  205982.83,   21588.21,            21702.98,   -11.15,  56862.87,           58588.45,    -45.96,     19.37,          49.94,  -0.68,  -2.25
 10,     UK0021,       0,  0.405620, 2459437.459975352511, 243.93710,   8.13020,              249.15650,  26.34832,       249.13276,       26.35868,    243.93710,      +8.13020,     243.96227,       +8.12578,  2038593.34, -3627774.94,  4941153.76,      50.083449,       -5.897107,   94346.33,  206514.99,   23718.30,            23833.07,  -227.79,  52600.01,           58198.90,    -78.58,     33.10,          85.17,  -0.64,  -2.21
 11,     UK0021,       0,  0.446092, 2459437.459975820966, 243.86668,   7.56967,              248.84616,  25.85700,       248.86056,       25.85073,    243.86668,      +7.56967,     243.85428,       +7.57236,  2037899.18, -3628328.99,  4939249.59,      50.071650,       -5.909345,   92977.62,  207060.27,   25819.42,            25934.19,  -472.00,  51915.47,           57733.05,     47.95,    -20.23,          51.84,  +0.54,  -1.04

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.