Orbital Analysis for matched events on 20210810_211728.191_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 56.87° Bg 38.74° Vg 55.82km/s
mass 0.04875g, abs. mag -1.0
Path Details
------------
start -1.72° 53.96° 108.68km
end   -1.87° 53.82° 97.51km

Orbit Details
-------------
Semimajor axis 2.92A.U., eccentricity 0.66, inclination 111.34°, Period 4.98Y, LA Sun 138.16°, last Perihelion 2021-07-23

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: 2459437.387131851632
Time: 2021-08-10 21:17:28.232053 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK003G
 Convergence angle = 12.28799 deg
 R.A. =  39.47456  Dec = +56.86430 deg

Best intersection: Stations UK001L and UK003G with Qconv = 12.29 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    481073.63 +/- 163.69 m
 Y =  -3793498.04 +/- 454.60 m
 Z =   5223823.14 +/- 801.52 m
 Vx =    23968.74 +/- 3399.58 m/s
 Vy =    19503.21 +/- 1952.88 m/s
 Vz =    47794.50 +/- 3518.55 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.460549e+04, -3.028475e+04, -5.322579e+04, +3.848255e+04, -1.277145e+05, -2.330879e+05
-3.028475e+04, +1.098090e+05, +1.869412e+05, -1.184769e+05, +4.083166e+05, +7.001966e+05
-5.322579e+04, +1.869412e+05, +3.310446e+05, -2.154274e+05, +7.027910e+05, +1.251908e+06
+3.848255e+04, -1.184769e+05, -2.154274e+05, +1.787550e+05, -5.734458e+05, -1.035609e+06
-1.277145e+05, +4.083166e+05, +7.027910e+05, -5.734458e+05, +2.080226e+06, +3.583657e+06
-2.330879e+05, +7.001966e+05, +1.251908e+06, -1.035609e+06, +3.583657e+06, +6.378125e+06

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK003G: -0.002437 s

Reference point on the trajectory:
  Time: 2021-08-10 21:17:28.232053 UTC
  Lon     = +-1.707807 +/- 0.0017 deg
  Lat     = +53.975717 +/- 0.0075 deg
  Lat geo = +53.795575 +/- 0.0075 deg
  Ht      =  109583.72 +/- 376.76 m

  JD dynamic   = 2459437.387933056336 
  LST apparent = 277.2274027648 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  39.13503 +/- 3.3886 deg
  Dec       = +57.11571 +/- 1.3540 deg
  Azimuth   =  32.41017 +/- 2.6728 deg
  Elevation = +30.69051 +/- 0.2398 deg
  Vavg      =  55.92158 +/- 3.2592 km/s
  Vinit     =  56.91388 +/- 3.2844 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  38.86384 +/- 3.3886 deg
  Dec       = +56.91575 +/- 1.3540 deg
  Azimuth   =  32.68492 +/- 2.6728 deg
  Elevation = +30.61361 +/- 0.2398 deg
  Vavg      =  56.05064 +/- 3.2592 km/s
  Vinit     =  57.04294 +/- 3.2844 km/s
Radiant (geocentric, J2000):
  R.A.   =  39.41260 +/- 3.2942 deg
  Dec    = +56.50568 +/- 1.4125 deg
  Vg     =  55.82160 +/- 3.3499 km/s
  Vinf   =  56.91388 +/- 3.2844 km/s
  Zc     =  59.46162 +/- 0.2399 deg
  Zg     =  60.09568 +/- 0.2502 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  56.86517 +/- 2.8683 deg
  Bg     = +38.73899 +/- 0.5989 deg
  Vh     =  38.02837 +/- 3.3603 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  72.93150 +/- 6.9427 deg
  Bh     = +66.72124 +/- 2.3713 deg
  Vh_x   =  -4.41123 +/- 0.5058 km/s
  Vh_y   = -14.36704 +/- 3.1451 km/s
  Vh_z   = -34.93259 +/- 2.4637 km/s
Orbit:
  La Sun = 138.160343 +/- 0.0000 deg
  a      =   2.915262 +/- 27.5040 AU
  e      =   0.664271 +/- 0.2711
  i      = 111.337454 +/- 1.5485 deg
  peri   = 156.038441 +/- 21.6762 deg
  node   = 138.158542 +/- 0.0001 deg
  Pi     = 294.196983 +/- 21.6762 deg
  q      =   0.978739 +/- 0.0202 AU
  f      =  23.957371 +/- 21.6762 deg
  M      =   3.698501 +/- nan deg
  Q      =   4.851785 +/- 55.0075 AU
  n      =   0.198010 +/- 0.2153 deg/day
  T      =   4.977566 +/- 377739682.9206 years
  Last perihelion JD = 2459418.709603 (2021-07-23 05:01:49.697387) +/- 35.0825 days
  Tj     =   1.378053 +/- 1.5515
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.710311e-02, +2.072734e-05, +2.238286e+00, -3.025827e-07, +3.628466e-02, +3.855991e-03
q   , +2.072734e-05, +2.637500e-04, +3.587484e-01, -4.368261e-09, +6.558975e-03, +6.080237e-05
Tp  , +2.238286e+00, +3.587484e-01, +6.244931e+02, -2.472931e-05, +1.113438e+01, +3.222339e-01
node, -3.025827e-07, -4.368261e-09, -2.472931e-05, +2.762147e-12, -4.133110e-07, -3.526450e-08
peri, +3.628466e-02, +6.558975e-03, +1.113438e+01, -4.133110e-07, +1.989813e-01, +5.396557e-03
i   , +3.855991e-03, +6.080237e-05, +3.222339e-01, -3.526450e-08, +5.396557e-03, +4.503512e-04

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: UK001L
  Avg. res. = 9.141e-06 s
  Stddev    = 3.02e-03 s

Begin point on the trajectory:
  Lon =    -1.720053 +/- 0.0012 deg
  Lat =    53.964343 +/- 0.0066 deg
  Ht  = 108678.66 +/- 327.85 m
End point on the trajectory:
  Lon =    -1.872912 +/- 0.0017 deg
  Lat =    53.823307 +/- 0.0062 deg
  Ht  = 97514.54 +/- 289.39 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108678.66,    97514.54,          0.022017,     93.51,     16.12,              34.21, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_211723_245_0086784.fits"}
    UK003G,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   107248.55,    99089.62,          0.012660,     67.04,      3.05,              28.67, 1.0000,    True,    True, {"ff_name": "FF_UK003G_20210810_211724_398_0091392.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,     UK001L,       1,  0.000000, 2459437.387131851632, 110.01030,  61.43631,              353.56907,  23.74839,       353.55304,       23.79566,    110.01030,     +61.43631,     110.05502,      +61.48096,   481092.71, -3793482.51,  5223861.20,      53.976008,       -1.707327,  109606.86,  260596.86,       0.00,               45.32,   927.22,      0.00,           49915.78,    -37.76,   -221.92,         178.18,  +4.42,  +2.34
  1,     UK001L,       0,  0.040068, 2459437.387132315431, 110.48122,  61.37168,              353.31514,  23.71767,       353.31169,       23.72781,    110.48122,     +61.37168,     110.49108,      +61.38124,   480326.73, -3794105.79,  5222333.81,      53.964343,       -1.720053,  108678.66,  259103.96,    1818.83,             1773.51,   374.98,  45393.54,           49915.78,     -8.12,    -47.35,          38.24,  +2.65,  +0.58
  2,     UK001L,       0,  0.080164, 2459437.387132779229, 110.97031,  61.27092,              353.04504,  23.65394,       353.04556,       23.65241,    110.97031,     +61.27092,     110.96917,      +61.26949,   479490.52, -3794786.21,  5220666.36,      53.951603,       -1.733928,  107665.77,  257478.93,    3804.43,             3759.11,    78.56,  49521.15,           49915.78,      1.21,      7.05,           5.73,  +2.10,  +0.05
  3,     UK001L,       0,  0.120308, 2459437.387133243959, 111.47128,  61.11214,              352.75750,  23.53537,       352.74659,       23.56700,    111.47128,     +61.11214,     111.50279,      +61.14174,   478561.48, -3795542.16,  5218813.84,      53.937442,       -1.749319,  106540.97,  255679.45,    6010.42,             5965.10,    -0.20,  54951.96,           49915.78,    -24.92,   -145.94,         119.44,  +1.59,  -0.45
  4,     UK001L,       0,  0.160404, 2459437.387133708224, 112.08825,  61.00663,              352.41743,  23.48043,       352.42005,       23.47288,    112.08825,     +61.00663,     112.08142,      +60.99959,   477559.45, -3796357.51,  5216815.75,      53.922161,       -1.765901,  105328.40,  253745.75,    8389.75,             8344.43,    97.11,  59340.84,           52291.35,      5.95,     34.59,          28.53,  +1.15,  -0.87
  5,     UK001L,       0,  0.200532, 2459437.387134172488, 112.59772,  60.86144,              352.12461,  23.37967,       352.12226,       23.38639,    112.59772,     +60.86144,     112.60532,      +60.86769,   476658.36, -3797090.72,  5215018.94,      53.908413,       -1.780824,  104238.51,  252013.58,   10529.41,            10484.08,   -47.07,  53320.77,           53117.11,     -5.25,    -30.62,          25.43,  +1.01,  -1.00
  6,     UK001L,       0,  0.240664, 2459437.387134637218, 113.13264,  60.71220,              351.81605,  23.27890,       351.81037,       23.29506,    113.13264,     +60.71220,     113.15008,      +60.72716,   475726.15, -3797849.25,  5213160.09,      53.894183,       -1.796252,  103111.53,  250228.27,   12742.93,            12697.61,  -117.61,  55156.17,           53630.56,    -12.53,    -73.13,          61.16,  +0.85,  -1.14
  7,     UK001L,       0,  0.280780, 2459437.387135101482, 113.75904,  60.57799,              351.46077,  23.20318,       351.46443,       23.19283,    113.75904,     +60.57799,     113.74956,      +60.56844,   474705.20, -3798679.99,  5211124.27,      53.878590,       -1.813127,  101877.89,  248280.88,   15167.19,            15121.87,    23.49,  60431.16,           54411.22,      8.00,     46.48,          39.18,  +0.75,  -1.22
  8,     UK001L,       0,  0.320904, 2459437.387135565747, 114.32833,  60.43179,              351.13129,  23.11282,       351.13747,       23.09541,    114.32833,     +60.43179,     114.31156,      +60.41581,   473753.92, -3799454.05,  5209227.38,      53.864054,       -1.828856,  100729.02,  246474.19,   17426.01,            17380.69,    -1.31,  56296.03,           54901.16,     13.39,     77.63,          65.92,  +0.76,  -1.20
  9,     UK001L,       0,  0.361032, 2459437.387136030011, 114.96695,  60.27797,              350.76181,  23.02402,       350.77524,       22.98647,    114.96695,     +60.27797,     114.92893,      +60.24364,   472713.65, -3800300.51,  5207153.05,      53.848150,       -1.846035,   99473.34,  244507.04,   19896.14,            19850.82,   184.98,  61556.22,           55513.69,     28.78,    166.24,         142.32,  +1.15,  -0.79
 10,     UK001L,       0,  0.401188, 2459437.387136495207, 115.43857,  60.08967,              350.47102,  22.88708,       350.46867,       22.89359,    115.43857,     +60.08967,     115.44718,      +60.09560,   471846.15, -3801006.38,  5205423.23,      53.834881,       -1.860384,   98426.71,  242874.01,   21956.01,            21910.69,   -40.58,  51296.73,           55655.90,     -4.93,    -28.68,          24.71,  +1.49,  -0.44
 11,     UK001L,       0,  0.441260, 2459437.387136959005, 115.94099,  59.99812,              350.18405,  22.84963,       350.19800,       22.81108,    115.94099,     +59.99812,     115.90151,      +59.96313,   471089.80, -3801621.82,  5203915.05,      53.823307,       -1.872912,   97514.54,  241455.82,   23751.96,            23706.64,  -525.28,  44818.13,           55321.59,     29.22,    168.73,         146.28,  +2.88,  +0.97
  0,     UK003G,       0,  0.097559, 2459437.387132873759,  95.69866,  57.53874,                0.81367,  18.89705,         0.81322,       18.89799,     95.69866,     +57.53874,      95.69980,      +57.53968,   479145.96, -3795066.57,  5219979.31,      53.946352,       -1.739609,  107248.55,  310215.46,       0.00,             4577.25,   -93.33,      0.00,           59872.49,      0.25,     -5.57,           3.70,  +2.57,  +0.11
  1,     UK003G,       0,  0.137623, 2459437.387133337557,  96.06283,  57.43908,                0.60840,  18.79458,         0.60216,       18.80743,     96.06283,     +57.43908,      96.07404,      +57.45200,   478150.25, -3795876.78,  5217993.83,      53.931172,       -1.756090,  106043.26,  308162.64,    2364.32,             6941.57,    -9.20,  59013.57,           59872.49,      3.47,    -76.00,          50.92,  +2.64,  +0.20
  2,     UK003G,       0,  0.177679, 2459437.387133800890,  96.42424,  57.34622,                0.40375,  18.69973,         0.39478,       18.71815,     96.42424,     +57.34622,      96.44041,      +57.36471,   477183.89, -3796663.10,  5216066.87,      53.916432,       -1.772085,  104874.09,  306174.71,    4658.95,             9236.20,     5.68,  57285.54,           59872.49,      4.97,   -108.28,          73.02,  +1.01,  -1.42
  3,     UK003G,       0,  0.217735, 2459437.387134264689,  96.84009,  57.24895,                0.16722,  18.60117,         0.15975,       18.61646,     96.84009,     +57.24895,      96.85395,      +57.26427,   476101.21, -3797544.07,  5213907.96,      53.899909,       -1.789979,  103564.90,  303952.72,    7229.78,            11807.04,   296.77,  64180.95,           59872.49,      4.08,    -89.30,          60.66,  +2.06,  -0.35
  4,     UK003G,       0,  0.257775, 2459437.387134728022,  97.14778,  57.17961,              359.99157,  18.53156,       359.98667,       18.54158,     97.14778,     +57.17961,      97.15739,      +57.18963,   475315.85, -3798183.11,  5212341.94,      53.887917,       -1.803000,  102615.67,  302344.44,    9094.61,            13671.86,  -117.23,  46574.06,           57558.62,      2.65,    -58.21,          39.76,  +1.20,  -1.20
  5,     UK003G,       0,  0.297823, 2459437.387135191821,  97.57463,  57.08322,              359.74705,  18.43578,       359.74649,       18.43693,     97.57463,     +57.08322,      97.57683,      +57.08437,   474234.76, -3799062.78,  5210186.21,      53.871403,       -1.820856,  101309.68,  300135.50,   11661.66,            16238.91,   170.53,  64099.38,           57831.56,      0.30,     -6.62,           4.55,  +1.06,  -1.33
  6,     UK003G,       0,  0.337875, 2459437.387135655154,  97.90516,  56.99233,              359.55687,  18.34615,       359.55362,       18.35278,     97.90516,     +56.99233,      97.91231,      +56.99894,   473379.15, -3799758.99,  5208480.08,      53.858325,       -1.835018,  100276.56,  298391.38,   13693.33,            18270.58,   -77.31,  50725.79,           57167.74,      1.72,    -38.08,          26.35,  +1.64,  -0.73
  7,     UK003G,       0,  0.377911, 2459437.387136118487,  98.31021,  56.91139,              359.32326,  18.26768,       359.32970,       18.25459,     98.31021,     +56.91139,      98.30025,      +56.89839,   472395.65, -3800559.26,  5206518.96,      53.843287,       -1.851265,   99089.62,  296391.21,   16028.63,            20605.89,   -20.61,  58330.11,           56987.96,     -3.32,     74.63,          51.99,  +1.79,  -0.57

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.