Orbital Analysis for matched events on 20210810_215447.184_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.48° Bg 37.94° Vg 61.02km/s
mass 0.00640g, abs. mag 1.1
Path Details
------------
start -2.27° 52.08° 110.99km
end   -2.40° 51.96° 101.45km

Orbit Details
-------------
Semimajor axis -11.54A.U., eccentricity 1.08, inclination 114.93°, Period 1000000000.00Y, LA Sun 138.19°, 

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: 2459437.413046111818
Time: 2021-08-10 21:54:47.224053 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 15.27469 deg
 R.A. =  45.64221  Dec = +57.28121 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 15.27 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1103175.81 +/- 91.31 m
 Y =  -3840156.55 +/- 121.55 m
 Z =   5097525.34 +/- 418.53 m
 Vx =    23115.84 +/- 1176.09 m/s
 Vy =    23851.78 +/- 1007.44 m/s
 Vz =    52370.74 +/- 1935.58 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.872108e+03, +3.395746e+03, +1.170920e+04, +6.078590e+03, +1.222996e+04, +5.205456e+04
+3.395746e+03, +4.425514e+03, +1.502858e+04, +8.502798e+03, +1.765490e+04, +6.971578e+04
+1.170920e+04, +1.502858e+04, +5.412906e+04, +3.131951e+04, +6.219860e+04, +2.453823e+05
+6.078590e+03, +8.502798e+03, +3.131951e+04, +2.940916e+04, +5.177647e+04, +1.745058e+05
+1.222996e+04, +1.765490e+04, +6.219860e+04, +5.177647e+04, +9.990613e+04, +3.477624e+05
+5.205456e+04, +6.971578e+04, +2.453823e+05, +1.745058e+05, +3.477624e+05, +1.297424e+06

Timing offsets (from input data):
    UK000S: 0.004288 s
    UK001Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 21:54:47.224053 UTC
  Lon     = +-2.261921 +/- 0.0017 deg
  Lat     = +52.093911 +/- 0.0029 deg
  Lat geo = +51.910429 +/- 0.0029 deg
  Ht      =  111855.77 +/- 274.18 m

  JD dynamic   = 2459437.413847315591 
  LST apparent = 286.0279641782 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.89770 +/- 0.2541 deg
  Dec       = +57.61582 +/- 0.5874 deg
  Azimuth   =  32.49107 +/- 0.5344 deg
  Elevation = +30.16086 +/- 0.3866 deg
  Vavg      =  59.10266 +/- 1.4398 km/s
  Vinit     =  62.01567 +/- 1.8810 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.64929 +/- 0.2541 deg
  Dec       = +57.41888 +/- 0.5874 deg
  Azimuth   =  32.75290 +/- 0.5344 deg
  Elevation = +30.08811 +/- 0.3866 deg
  Vavg      =  59.23851 +/- 1.4398 km/s
  Vinit     =  62.15153 +/- 1.8810 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.09938 +/- 0.2171 deg
  Dec    = +57.10821 +/- 0.6214 deg
  Vg     =  61.01525 +/- 1.9146 km/s
  Vinf   =  62.01567 +/- 1.8810 km/s
  Zc     =  59.99395 +/- 0.3857 deg
  Zg     =  60.53185 +/- 0.4276 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.48148 +/- 0.4063 deg
  Bg     = +37.93587 +/- 0.5441 deg
  Vh     =  42.74758 +/- 1.9879 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.89482 +/- 0.3307 deg
  Bh     = +61.34449 +/- 0.4884 deg
  Vh_x   =  -3.59672 +/- 0.2998 km/s
  Vh_y   = -20.18127 +/- 1.1994 km/s
  Vh_z   = -37.51181 +/- 1.5979 km/s
Orbit:
  La Sun = 138.185211 +/- -0.0000 deg
  a      = -11.537219 +/- 12.6899 AU
  e      =   1.082487 +/- 0.1693
  i      = 114.933214 +/- 0.5089 deg
  peri   = 151.938473 +/- 3.3319 deg
  node   = 138.183268 +/- 0.0000 deg
  Pi     = 290.121741 +/- 3.3319 deg
  q      =   0.951673 +/- 0.0066 AU
  f      =  28.057266 +/- 3.3319 deg
  M      =        nan +/- nan deg
  Q      = -24.026111 +/- 25.3839 AU
  n      =   0.025151 +/- 0.0842 deg/day
  T      = 1000000000.000000 +/- 489897942.3339 years
  Last perihelion JD = NaN 
  Tj     =  -0.971376 +/- 0.9715
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.611114e-03, +4.214571e-04, +2.183195e-01, -4.680925e-08, +3.844040e-03, +5.795778e-04
q   , +4.214571e-04, +1.883958e-05, +9.694092e-03, -1.976219e-09, +1.710723e-04, +2.447323e-05
Tp  , +2.183195e-01, +9.694092e-03, +5.017626e+00, -1.020108e-06, +8.843742e-02, +1.263317e-02
node, -4.680925e-08, -1.976219e-09, -1.020108e-06, +2.679637e-13, -1.791822e-08, -3.316158e-09
peri, +3.844040e-03, +1.710723e-04, +8.843742e-02, -1.791822e-08, +1.559239e-03, +2.219041e-04
i   , +5.795778e-04, +2.447323e-05, +1.263317e-02, -3.316158e-09, +2.219041e-04, +4.103896e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 4.256186
 a2 = 14.178359

Mean time residuals from time vs. length:
  Station with reference time: UK001Z
  Avg. res. = 4.398e-06 s
  Stddev    = 2.10e-03 s

Begin point on the trajectory:
  Lon =    -2.273461 +/- 0.0014 deg
  Lat =    52.082746 +/- 0.0024 deg
  Ht  = 110985.23 +/- 230.61 m
End point on the trajectory:
  Lon =    -2.401353 +/- 0.0014 deg
  Lat =    51.959871 +/- 0.0028 deg
  Ht  = 101447.61 +/- 262.97 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   1.045737,  19.600476,   109752.01,   102709.91,          0.011046,     22.53,     24.89,              39.87, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_215447_058_0148480.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   2.795934,  15.180397,   110985.23,   101447.61,          0.005767,      7.60,     15.15,              14.28, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210810_215441_562_0143360.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,     UK000S,       0,  0.076467, 2459437.413046947215, 149.72802,  72.98636,              345.39665,  37.37493,       345.39597,       37.38746,    149.72802,     +72.98636,     149.75317,      +72.99658,  1101614.37, -3841767.70,  5093987.78,      52.066916,       -2.289947,  109752.01,  178169.87,       0.00,             4189.07,   331.98,      0.00,           58129.71,    -28.92,    -26.18,          45.17,  +2.27,  +1.02
  1,     UK000S,       0,  0.116427, 2459437.413047409616, 151.03078,  72.71359,              344.80421,  37.35864,       344.80379,       37.36557,    151.03078,     +72.71359,     151.04518,      +72.71915,  1100773.40, -3842635.45,  5092082.49,      52.052367,       -2.305130,  108619.77,  176440.78,    2256.18,             6445.25,   110.01,  56461.00,           58129.71,    -15.83,    -14.33,          24.96,  +2.60,  +1.37
  2,     UK000S,       0,  0.156395, 2459437.413047872018, 152.33595,  72.40018,              344.17560,  37.31994,       344.17426,       37.33906,    152.33595,     +72.40018,     152.37550,      +72.41528,  1099896.22, -3843540.55,  5090095.17,      52.037184,       -2.320955,  107439.39,  174650.11,    4609.49,             8798.56,   -15.32,  58879.81,           58129.71,    -43.25,    -39.17,          68.91,  +2.28,  +1.07
  3,     UK000S,       0,  0.196331, 2459437.413048334420, 153.69526,  72.10127,              343.53321,  37.31416,       343.53364,       37.30863,    153.69526,     +72.10127,     153.68468,      +72.09697,  1099020.96, -3844443.68,  5088112.19,      52.022027,       -2.336740,  106262.21,  172876.93,    6957.67,            11146.74,  -143.80,  58798.64,           58129.71,     12.40,     11.21,          19.94,  +1.82,  +0.63
  4,     UK000S,       0,  0.236303, 2459437.413048797287, 155.09272,  71.71308,              342.80510,  37.25572,       342.80386,       37.26978,    155.09272,     +71.71308,     155.12287,      +71.72379,  1098043.60, -3845452.15,  5085897.92,      52.005092,       -2.354342,  104948.46,  170913.17,    9579.74,            13768.81,    -0.62,  65597.53,           59715.75,    -31.15,    -28.21,          50.71,  +2.62,  +1.46
  5,     UK000S,       0,  0.276243, 2459437.413049259223, 156.28936,  71.40993,              342.19625,  37.24036,       342.19686,       37.23392,    156.28936,     +71.40993,     156.27705,      +71.40511,  1097247.71, -3846273.38,  5084094.77,      51.991295,       -2.368702,  103879.20,  169327.83,   11714.97,            15904.04,  -342.30,  53460.93,           59275.70,     14.15,     12.80,          23.25,  +2.64,  +1.50
  6,     UK000S,       0,  0.316199, 2459437.413049721625, 157.52506,  71.04430,              341.52045,  37.19371,       341.52080,       37.19035,    157.52506,     +71.04430,     157.51930,      +71.04183,  1096376.93, -3847171.89,  5082121.94,      51.976193,       -2.384392,  102709.91,  167607.18,   14051.12,            18240.19,  -484.04,  58468.19,           59032.00,      7.32,      6.62,          12.15,  +5.32,  +4.20
  0,     UK001Z,       1,  0.000000, 2459437.413046111818,  53.20343,  70.56982,               19.21677,  37.06935,        19.17664,       37.02213,     53.20343,     +70.56982,      53.36714,      +70.55287,  1103166.42, -3840166.24,  5097504.07,      52.093748,       -2.261921,  111843.11,  182881.48,       0.00,               25.19,   910.27,      0.00,           55771.47,    163.18,     80.86,         205.40,  +6.55,  +5.24
  1,     UK001Z,       0,  0.039988, 2459437.413046574686,  53.47811,  70.67516,               19.04514,  37.09492,        19.04287,       37.09222,     53.47811,     +70.67516,      53.48766,      +70.67417,  1102529.87, -3840823.06,  5096061.90,      52.082746,       -2.273461,  110985.23,  181217.00,    1707.77,             1732.96,   138.17,  42707.15,           55771.47,      9.21,      4.61,          11.73,  +2.87,  +1.58
  2,     UK001Z,       0,  0.079920, 2459437.413047036622,  53.65794,  70.84246,               18.85642,  37.18910,        18.85694,       37.18972,     53.65794,     +70.84246,      53.65609,      +70.84269,  1101658.50, -3841722.17,  5094087.76,      52.067679,       -2.289192,  109811.44,  178941.16,    4045.49,             4070.68,    -0.53,  58542.33,           55771.47,     -2.10,     -1.05,           2.71,  +2.46,  +1.20
  3,     UK001Z,       0,  0.119832, 2459437.413047498558,  53.83413,  71.03656,               18.64831,  37.30548,        18.64434,       37.30073,     53.83413,     +71.03656,      53.85131,      +71.03480,  1100688.95, -3842722.59,  5091891.16,      52.050906,       -2.306670,  108506.10,  176411.27,    6646.62,             6671.81,   125.43,  65171.75,           55771.47,     15.70,      7.86,          20.53,  +2.35,  +1.12
  4,     UK001Z,       0,  0.159764, 2459437.413047960959,  54.04147,  71.20382,               18.45159,  37.39504,        18.45479,       37.39888,     54.04147,     +71.20382,      54.02856,      +71.20526,  1099852.38, -3843585.79,  5089995.85,      52.036425,       -2.321769,  107380.41,  174229.78,    8890.98,             8916.17,  -106.62,  56204.56,           56890.08,    -12.53,     -6.28,          16.59,  +2.83,  +1.62
  5,     UK001Z,       0,  0.199668, 2459437.413048422895,  54.23412,  71.41339,               18.22698,  37.52131,        18.22413,       37.51787,     54.23412,     +71.41339,      54.24721,      +71.41209,  1098861.07, -3844608.66,  5087749.96,      52.019257,       -2.339625,  106047.24,  171647.59,   11550.49,            11575.68,    78.22,  66647.69,           58602.51,     11.03,      5.53,          14.82,  +2.28,  +1.11
  6,     UK001Z,       0,  0.239592, 2459437.413048884831,  54.47950,  71.60228,               18.00242,  37.62159,        18.00805,       37.62842,     54.47950,     +71.60228,      54.45600,      +71.60490,  1097963.28, -3845535.03,  5085715.94,      52.003700,       -2.355806,  104840.53,  169310.93,   13959.11,            13984.30,    10.93,  60330.14,           59399.45,    -21.56,    -10.83,          29.39,  +2.61,  +1.47
  7,     UK001Z,       0,  0.279512, 2459437.413049346767,  54.61350,  71.76595,               17.83284,  37.72429,        17.82873,       37.71930,     54.61350,     +71.76595,      54.63268,      +71.76403,  1097242.28, -3846278.98,  5084082.47,      51.991201,       -2.368830,  103871.90,  167435.42,   15893.41,            15918.61,  -530.44,  48454.49,           58819.72,     15.56,      7.80,          21.44,  +2.43,  +1.31
  8,     UK001Z,       0,  0.319420, 2459437.413049808703,  54.89604,  71.99268,               17.56837,  37.84854,        17.56983,       37.85032,     54.89604,     +71.99268,      54.89090,      +71.99337,  1096224.28, -3847329.40,  5081776.09,      51.973544,       -2.387145,  102505.00,  164791.01,   18624.54,            18649.73,  -274.23,  68435.64,           59189.88,     -5.44,     -2.73,           7.62,  +3.96,  +2.88
  9,     UK001Z,       0,  0.359328, 2459437.413050270639,  55.06906,  72.17988,               17.36912,  37.96327,        17.36189,       37.95441,     55.06906,     +72.17988,      55.10305,      +72.17641,  1095436.36, -3848142.40,  5079991.02,      51.959871,       -2.401353,  101447.61,  162745.75,   20738.37,            20763.56,  -635.32,  52967.54,           59039.11,     26.74,     13.40,          37.91,  +4.56,  +3.50

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.