Orbital Analysis for matched events on 20210813_235655.909_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 66.24° Bg 39.19° Vg 58.70km/s
mass 0.13995g, abs. mag -2.3
Path Details
------------
start -3.87° 53.52° 103.34km
end   -4.02° 53.43° 90.45km

Orbit Details
-------------
Semimajor axis 28.06A.U., eccentricity 0.97, inclination 111.38°, Period 148.61Y, LA Sun 141.15°, last Perihelion 2021-07-22

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: 2459440.497869320214
Time: 2021-08-13 23:56:55.909266 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0002 and UK001Z
 Convergence angle = 17.65969 deg
 R.A. =  50.39911  Dec = +59.21449 deg

Best intersection: Stations UK0002 and UK001Z with Qconv = 17.66 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2869285.64 +/- 594.63 m
 Y =  -2584203.71 +/- 220.65 m
 Z =   5188546.13 +/- 953.54 m
 Vx =    18578.07 +/- 5668.73 m/s
 Vy =    23536.54 +/- 2132.63 m/s
 Vz =    51670.03 +/- 5129.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.903096e+04, -3.091221e+04, -1.248841e+05, +1.406563e+05, -4.235508e+04, -1.993143e+05
-3.091221e+04, +1.287404e+04, +4.279467e+04, -9.197588e+04, +3.198696e+04, +1.116329e+05
-1.248841e+05, +4.279467e+04, +1.801470e+05, -1.973217e+05, +4.935043e+04, +2.792762e+05
+1.406563e+05, -9.197588e+04, -1.973217e+05, +2.687922e+06, -7.585931e+05, -3.006395e+06
-4.235508e+04, +3.198696e+04, +4.935043e+04, -7.585931e+05, +2.548720e+05, +8.327375e+05
-1.993143e+05, +1.116329e+05, +2.792762e+05, -3.006395e+06, +8.327375e+05, +3.409286e+06

Timing offsets (from input data):
    UK0002: -0.010380 s
    UK001Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:56:55.909266 UTC
  Lon     = +-3.874127 +/- 0.0037 deg
  Lat     = +53.523527 +/- 0.0091 deg
  Lat geo = +53.342321 +/- 0.0092 deg
  Ht      =  103355.14 +/- 424.65 m

  JD dynamic   = 2459440.498670061119 
  LST apparent = 317.9924212136 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.71495 +/- 6.9471 deg
  Dec       = +59.87249 +/- 3.1454 deg
  Azimuth   =  42.82645 +/- 6.0381 deg
  Elevation = +42.53983 +/- 0.7625 deg
  Vavg      =  59.12240 +/- 2.6343 km/s
  Vinit     =  59.74031 +/- 4.0896 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  51.68034 +/- 6.9471 deg
  Dec       = +59.63995 +/- 3.1454 deg
  Azimuth   =  43.09411 +/- 6.0381 deg
  Elevation = +42.41569 +/- 0.7625 deg
  Vavg      =  59.26393 +/- 2.6343 km/s
  Vinit     =  59.88185 +/- 4.0896 km/s
Radiant (geocentric, J2000):
  R.A.   =  51.98420 +/- 6.8804 deg
  Dec    = +59.53455 +/- 3.1747 deg
  Vg     =  58.69967 +/- 4.1530 km/s
  Vinf   =  59.74031 +/- 4.0896 km/s
  Zc     =  47.59319 +/- 0.7727 deg
  Zg     =  48.03719 +/- 0.7350 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  66.23985 +/- 5.3033 deg
  Bg     = +39.19322 +/- 2.0942 deg
  Vh     =  41.47022 +/- 5.4222 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.58991 +/- 9.4759 deg
  Bh     = +63.44329 +/- 1.2037 deg
  Vh_x   =  -0.13270 +/- 3.5079 km/s
  Vh_y   = -18.54017 +/- 3.1228 km/s
  Vh_z   = -37.09479 +/- 4.3804 km/s
Orbit:
  La Sun = 141.146768 +/- -0.0000 deg
  a      =  28.056414 +/- 16.2920 AU
  e      =   0.966729 +/- 0.5184
  i      = 111.378636 +/- 1.8057 deg
  peri   = 147.154002 +/- 2.2505 deg
  node   = 141.145924 +/- 0.0001 deg
  Pi     = 288.299926 +/- 2.2504 deg
  q      =   0.933462 +/- 0.0233 AU
  f      =  32.842074 +/- 2.2505 deg
  M      =   0.150224 +/- nan deg
  Q      =  55.179366 +/- 32.5804 AU
  n      =   0.006632 +/- 0.6112 deg/day
  T      = 148.610290 +/- 498887637.2471 years
  Last perihelion JD = 2459417.847846 (2021-07-22 08:20:53.882168) +/- 0.5518 days
  Tj     =  -0.247523 +/- 2.9917
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.312630e-02, -2.186255e-03, -4.899786e-02, +2.021935e-07, -5.532290e-03, -2.697870e-03
q   , -2.186255e-03, +2.136046e-04, +5.794703e-03, -1.859268e-08, +5.529421e-04, +2.483043e-04
Tp  , -4.899786e-02, +5.794703e-03, +3.282452e-01, -3.269231e-07, +1.729394e-02, +4.401306e-03
node, +2.021935e-07, -1.859268e-08, -3.269231e-07, +1.867610e-12, -4.583574e-08, -2.491292e-08
peri, -5.532290e-03, +5.529421e-04, +1.729394e-02, -4.583574e-08, +1.463125e-03, +6.125667e-04
i   , -2.697870e-03, +2.483043e-04, +4.401306e-03, -2.491292e-08, +6.125667e-04, +3.323388e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 89.478797

Mean time residuals from time vs. length:
  Station with reference time: UK001Z
  Avg. res. = 1.494e-05 s
  Stddev    = 3.86e-03 s

Begin point on the trajectory:
  Lon =    -3.874256 +/- 0.0037 deg
  Lat =    53.523445 +/- 0.0090 deg
  Ht  = 103343.46 +/- 411.44 m
End point on the trajectory:
  Lon =    -4.017466 +/- 0.0043 deg
  Lat =    53.431954 +/- 0.0094 deg
  Ht  = 90449.39 +/- 372.67 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
    UK0002,   False,     0.265820,    50.757180,   60.00,   0.000000,   0.000000,   102709.72,    93134.36,          0.039595,    156.10,    254.69,              76.87, 1.0000,    True,    True, {"ff_name": "FF_UK0002_20210813_235651_313_0352768.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00, 100.457280,   0.000000,   103343.46,    90449.39,          0.015851,     65.97,     57.10,              50.79, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210813_235652_071_0336384.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,     UK0002,       0,  0.002922, 2459440.497869489715, 197.61528,  38.66562,              318.91586,  11.76954,       318.88691,       11.80206,    197.61528,     +38.66562,     197.66824,      +38.67804,  2868988.77, -2584579.83,  5187720.45,      53.518965,       -3.881283,  102709.72,  433861.23,       0.00,              954.65,   383.04,      0.00,           56539.32,   -278.47,   -170.67,         155.27,  +1.37,  -1.82
  1,     UK0002,       0,  0.043094, 2459440.497869954910, 197.76180,  38.42011,              318.68326,  11.62284,       318.68026,       11.62620,    197.76180,     +38.42011,     197.76749,      +38.42139,  2868345.26, -2585395.08,  5185930.71,      53.509072,       -3.896829,  101310.98,  433426.94,    2069.28,             3023.92,    52.43,  51510.41,           56539.32,    -28.83,    -17.64,          16.08,  +2.23,  -0.95
  2,     UK0002,       0,  0.083338, 2459440.497870420571, 197.82013,  38.10575,              318.47271,  11.38127,       318.43835,       11.41977,    197.82013,     +38.10575,     197.88283,      +38.12036,  2867592.01, -2586349.38,  5183835.73,      53.497484,       -3.914997,   99674.13,  432929.37,    4491.46,             5446.11,    70.43,  60187.52,           56539.32,   -329.49,   -201.99,         184.13,  +1.05,  -2.13
  3,     UK0002,       0,  0.123542, 2459440.497870885767, 197.94592,  37.82593,              318.23500,  11.19743,       318.21048,       11.22489,    197.94592,     +37.82593,     197.99079,      +37.83632,  2866883.19, -2587247.38,  5181864.34,      53.486572,       -3.932102,   98134.27,  432473.52,    6770.76,             7725.41,   -52.08,  56693.30,           56539.32,   -234.95,   -143.94,         131.41,  +1.20,  -1.98
  4,     UK0002,       0,  0.163694, 2459440.497871350497, 198.08892,  37.61102,              318.02059,  11.07609,       318.02757,       11.06828,    198.08892,     +37.61102,     198.07708,      +37.60808,  2866315.27, -2587966.88,  5180284.82,      53.477824,       -3.945840,   96900.79,  432118.19,    8596.99,             9551.64,  -624.54,  45482.98,           54468.28,     66.82,     40.86,          37.39,  +3.31,  +0.13
  5,     UK0002,       0,  0.204030, 2459440.497871817555, 198.17384,  37.17578,              317.72576,  10.74416,       317.69311,       10.78065,    198.17384,     +37.17578,     198.23324,      +37.18948,  2865274.87, -2589284.96,  5177391.20,      53.461784,       -3.970868,   94641.88,  431480.20,   11942.56,            12897.20,   311.34,  82942.36,           57958.09,   -311.94,   -191.19,         174.90,  +0.78,  -2.39
  6,     UK0002,       0,  0.244238, 2459440.497872282751, 198.27398,  36.89444,              317.50408,  10.54903,       317.46930,       10.58787,    198.27398,     +36.89444,     198.33714,      +36.90899,  2864580.31, -2590164.89,  5175459.48,      53.451067,       -3.987630,   93134.36,  431070.86,   14175.99,            15130.64,   142.74,  55547.02,           58944.57,   -331.90,   -203.44,         186.27,  +1.02,  -2.15
  0,     UK001Z,       0,  0.000000, 2459440.497869320214, 158.86757,  55.26748,              348.24266,  17.43615,       348.24748,       17.43047,    158.86757,     +55.26748,     158.85746,      +55.26298,  2869280.27, -2584210.52,  5188531.19,      53.523445,       -3.874256,  103343.46,  320616.63,       0.00,               17.27,  -379.76,      0.00,           61993.65,     26.75,     30.94,          26.32,  +3.19,  +0.66
  1,     UK001Z,       0,  0.040116, 2459440.497869784478, 159.27803,  54.97077,              347.93246,  17.20069,       347.93893,       17.19309,    159.27803,     +54.97077,     159.26468,      +54.96478,  2868443.71, -2585270.36,  5186204.51,      53.510586,       -3.894415,  101524.94,  318940.63,    2690.08,             2707.35,   -86.22,  67057.56,           61993.65,     35.67,     41.25,          35.27,  +1.54,  -0.98
  2,     UK001Z,       0,  0.080224, 2459440.497870248742, 159.66124,  54.69548,              347.64109,  16.98406,       347.65187,       16.97139,    159.66124,     +54.69548,     159.63911,      +54.68557,  2867671.74, -2586248.36,  5184057.49,      53.498711,       -3.913030,   99847.37,  317406.70,    5172.44,             5189.72,     0.07,  61891.95,           61993.65,     59.20,     68.43,          58.80,  +1.43,  -1.08
  3,     UK001Z,       0,  0.120312, 2459440.497870712541, 160.03526,  54.44801,              347.35995,  16.79463,       347.38535,       16.76483,    160.03526,     +54.44801,     159.98300,      +54.42483,  2866960.39, -2587149.57,  5182079.05,      53.487761,       -3.930195,   98301.96,  316004.15,    7459.89,             7477.17,  -107.35,  57060.72,           61993.65,    138.85,    160.34,         138.45,  +1.15,  -1.35
  4,     UK001Z,       0,  0.160452, 2459440.497871177271, 160.35641,  54.13478,              347.09181,  16.53528,       347.09130,       16.53588,    160.35641,     +54.13478,     160.35814,      +54.13524,  2866180.52, -2588137.60,  5179910.03,      53.475747,       -3.948998,   96608.18,  314478.28,    9967.69,             9984.96,     2.47,  62476.23,           61593.71,     -2.77,     -3.20,           2.78,  +1.08,  -1.41
  5,     UK001Z,       0,  0.200568, 2459440.497871641535, 160.71534,  53.84552,              346.80529,  16.30579,       346.80196,       16.30969,    160.71534,     +53.84552,     160.72304,      +53.84852,  2865418.75, -2589102.68,  5177791.37,      53.464003,       -3.967366,   94954.21,  313000.20,   12417.27,            12434.54,    55.51,  61062.35,           61403.57,    -18.00,    -20.82,          18.14,  +1.01,  -1.47
  6,     UK001Z,       0,  0.240680, 2459440.497872105800, 161.08167,  53.55647,              346.51237,  16.07895,       346.51062,       16.08100,    161.08167,     +53.55647,     161.08629,      +53.55803,  2864657.12, -2590067.58,  5175673.11,      53.452252,       -3.985731,   93301.06,  311534.74,   14866.37,            14883.64,   108.31,  61056.55,           61298.49,     -9.44,    -10.92,           9.56,  +0.91,  -1.56
  7,     UK001Z,       0,  0.280776, 2459440.497872570064, 161.42943,  53.29153,              346.23489,  15.87409,       346.24013,       15.86798,    161.42943,     +53.29153,     161.41987,      +53.28689,  2863955.23, -2590956.81,  5173720.99,      53.441416,       -4.002668,   91777.98,  310195.50,   17123.39,            17140.66,   -30.02,  56290.43,           60837.57,     28.04,     32.42,          28.50,  +0.96,  -1.50
  8,     UK001Z,       0,  0.320884, 2459440.497873034328, 161.68667,  53.03796,              346.01332,  15.66765,       346.00243,       15.68031,    161.68667,     +53.03796,     161.71023,      +53.04755,  2863342.82, -2591732.67,  5172017.72,      53.431954,       -4.017466,   90449.39,  309036.12,   19092.69,            19109.96,  -456.79,  49099.93,           59840.05,    -57.99,    -67.11,          59.20,  +1.76,  -0.69

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.