Orbital Analysis for matched events on 20210816_224525.563_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 71.10° Bg 36.45° Vg 58.90km/s
mass 0.03386g, abs. mag -0.3
Path Details
------------
start -3.51° 51.09° 109.69km
end   -3.64° 50.96° 99.16km

Orbit Details
-------------
Semimajor axis 9.77A.U., eccentricity 0.91, inclination 114.40°, Period 30.52Y, LA Sun 143.98°, last Perihelion 2021-07-20

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: 2459443.448212537915
Time: 2021-08-16 22:45:25.563276 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0024
 Convergence angle = 18.52236 deg
 R.A. =  60.13393  Dec = +58.74778 deg
Intersection 2 - Stations: UK000H and UK003E
 Convergence angle = 13.85342 deg
 R.A. =  60.02837  Dec = +57.76085 deg
Intersection 3 - Stations: UK0024 and UK003E
 Convergence angle = 4.67690 deg
 R.A. =  58.53096  Dec = +61.54010 deg

Best intersection: Stations UK000H and UK0024 with Qconv = 18.52 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2247211.88 +/- 34.64 m
 Y =  -3409408.09 +/- 77.97 m
 Z =   5025051.67 +/- 70.57 m
 Vx =    15528.11 +/- 205.60 m/s
 Vy =    27240.98 +/- 483.25 m/s
 Vz =    51082.28 +/- 369.48 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.266302e+03, +2.610720e+03, -2.248765e+03, +5.676327e+03, +1.145860e+04, -6.894983e+03
+2.610720e+03, +6.311871e+03, -5.358678e+03, +1.391110e+04, +3.166247e+04, -1.780371e+04
-2.248765e+03, -5.358678e+03, +5.090528e+03, -1.236988e+04, -2.849493e+04, +1.620042e+04
+5.676327e+03, +1.391110e+04, -1.236988e+04, +4.077288e+04, +9.222944e+04, -4.990903e+04
+1.145860e+04, +3.166247e+04, -2.849493e+04, +9.222944e+04, +2.281481e+05, -1.207905e+05
-6.894983e+03, -1.780371e+04, +1.620042e+04, -4.990903e+04, -1.207905e+05, +6.772143e+04

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK0024: 0.000095 s
    UK003E: 0.000386 s

Reference point on the trajectory:
  Time: 2021-08-16 22:45:25.563276 UTC
  Lon     = +-3.508408 +/- 0.0010 deg
  Lat     = +51.087543 +/- 0.0001 deg
  Lat geo = +50.902505 +/- 0.0001 deg
  Ht      =  109680.82 +/- 83.79 m

  JD dynamic   = 2459443.449013278820 
  LST apparent = 303.3897085600 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  60.31566 +/- 0.1519 deg
  Dec       = +58.45709 +/- 0.5408 deg
  Azimuth   =  32.94818 +/- 0.3541 deg
  Elevation = +30.95320 +/- 0.4532 deg
  Vavg      =  57.51860 +/- 0.0303 km/s
  Vinit     =  59.93824 +/- 0.0774 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  60.07135 +/- 0.1519 deg
  Dec       = +58.24107 +/- 0.5408 deg
  Azimuth   =  33.22583 +/- 0.3541 deg
  Elevation = +30.87347 +/- 0.4532 deg
  Vavg      =  57.65807 +/- 0.0303 km/s
  Vinit     =  60.07770 +/- 0.0774 km/s
Radiant (geocentric, J2000):
  R.A.   =  60.57196 +/- 0.1470 deg
  Dec    = +57.96738 +/- 0.5455 deg
  Vg     =  58.90225 +/- 0.0788 km/s
  Vinf   =  59.93824 +/- 0.0774 km/s
  Zc     =  59.20213 +/- 0.4526 deg
  Zg     =  59.76963 +/- 0.4567 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  71.09736 +/- 0.1094 deg
  Bg     = +36.44521 +/- 0.5440 deg
  Vh     =  40.76180 +/- 0.1962 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  94.58446 +/- 0.5833 deg
  Bh     = +59.14082 +/- 0.6976 deg
  Vh_x   =   1.67114 +/- 0.1988 km/s
  Vh_y   = -20.84105 +/- 0.3320 km/s
  Vh_z   = -34.99118 +/- 0.4225 km/s
Orbit:
  La Sun = 143.981528 +/- 0.0000 deg
  a      =   9.765644 +/- 1.0982 AU
  e      =   0.908457 +/- 0.0155
  i      = 114.401408 +/- 0.7899 deg
  peri   = 138.943274 +/- 0.7537 deg
  node   = 143.979996 +/- 0.0001 deg
  Pi     = 282.923270 +/- 0.7537 deg
  q      =   0.893980 +/- 0.0031 AU
  f      =  41.052651 +/- 0.7536 deg
  M      =   0.896236 +/- 0.3016 deg
  Q      =  18.637308 +/- 2.1936 AU
  n      =   0.032296 +/- 0.0096 deg/day
  T      =  30.517712 +/- 4.7000 years
  Last perihelion JD = 2459415.698597 (2021-07-20 04:45:58.762854) +/- 0.5479 days
  Tj     =   0.059832 +/- 0.0825
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.447364e-04, +4.536277e-05, +8.447352e-03, +1.647348e-08, +1.992956e-04, -2.066175e-04
q   , +4.536277e-05, +9.611991e-06, +1.680858e-03, +3.244269e-09, +4.070506e-05, -4.069248e-05
Tp  , +8.447352e-03, +1.680858e-03, +3.025975e-01, +5.871548e-07, +7.239259e-03, -7.363918e-03
node, +1.647348e-08, +3.244269e-09, +5.871548e-07, +1.218184e-12, +1.401688e-08, -1.526913e-08
peri, +1.992956e-04, +4.070506e-05, +7.239259e-03, +1.401688e-08, +1.740722e-04, -1.758008e-04
i   , -2.066175e-04, -4.069248e-05, -7.363918e-03, -1.526913e-08, -1.758008e-04, +1.914084e-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: UK000H
  Avg. res. = 2.261e-06 s
  Stddev    = 1.50e-03 s

Begin point on the trajectory:
  Lon =    -3.508343 +/- 0.0010 deg
  Lat =    51.087607 +/- 0.0001 deg
  Ht  = 109685.95 +/- 81.35 m
End point on the trajectory:
  Lon =    -3.643897 +/- 0.0014 deg
  Lat =    50.956887 +/- 0.0003 deg
  Ht  = 99159.88 +/- 69.12 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,   109685.95,   100003.09,          0.008700,      0.58,     25.21,              83.81, 0.9884,    True,    True, {"ff_name": "FF_UK000H_20210816_224520_871_0243968.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000112,  43.442951,   104017.51,    99289.04,          0.011208,      7.37,     20.97,              62.45, 0.7861,   False,    True, {"ff_name": "FF_UK0024_20210816_224523_677_0238848.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   108797.29,    99159.88,          0.013087,      9.65,     36.87,              97.05, 0.9849,    True,    True, {"ff_name": "FF_UK003E_20210816_224515_803_0242944.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,  0.000000, 2459443.448212537915, 236.02164,  37.54764,              282.58210,  40.63290,       282.56876,       40.64645,    236.02164,     +37.54764,     236.04295,      +37.54831,  2247214.46, -3409403.56,  5025060.17,      51.087607,       -3.508343,  109685.95,  166473.56,       0.00,                9.97,   590.45,      0.00,           55781.27,    -49.12,      1.12,          60.88,  +2.86,  +1.75
  1,     UK000H,       0,  0.040632, 2459443.448213008232, 236.06769,  36.82422,              281.81570,  40.20367,       281.81023,       40.20916,    236.06769,     +36.82422,     236.07647,      +36.82449,  2246668.58, -3410361.20,  5023264.41,      51.074204,       -3.522301,  108602.40,  166272.82,    2107.08,             2097.11,   242.18,  51857.65,           55781.27,    -20.02,      0.46,          24.84,  +1.30,  +0.20
  2,     UK000H,       0,  0.081288, 2459443.448213478550, 236.11958,  36.06981,              281.02359,  39.75372,       281.02944,       39.74791,    236.11958,     +36.06981,     236.11084,      +36.06953,  2246100.46, -3411357.85,  5021395.48,      51.060249,       -3.536818,  107475.23,  166091.80,    4300.02,             4290.05,    -1.72,  53938.98,           55781.27,     21.28,     -0.49,          26.44,  +0.65,  -0.45
  3,     UK000H,       0,  0.122052, 2459443.448213950731, 236.14556,  35.19585,              280.14143,  39.20541,       280.13881,       39.20798,    236.14556,     +35.19585,     236.15008,      +35.19598,  2245444.26, -3412509.02,  5019236.81,      51.044121,       -3.553554,  106173.97,  165917.36,    6832.94,             6822.97,    87.87,  62136.10,           55781.27,     -9.48,      0.22,          11.79,  +0.71,  -0.39
  4,     UK000H,       0,  0.162756, 2459443.448214421514, 236.17652,  34.39260,              279.33754,  38.70039,       279.33219,       38.70558,    236.17652,     +34.39260,     236.18526,      +34.39286,  2244842.19, -3413565.23,  5017256.21,      51.029317,       -3.568920,  104980.68,  165792.06,    9156.91,             9146.94,   -27.88,  57094.40,           56619.15,    -19.27,      0.44,          23.98,  +0.76,  -0.34
  5,     UK000H,       0,  0.203536, 2459443.448214893695, 236.22304,  33.50288,              278.45126,  38.14275,       278.45141,       38.14261,    236.22304,     +33.50288,     236.22367,      +33.50288,  2244175.77, -3414734.34,  5015063.89,      51.012921,       -3.585905,  103660.53,  165690.49,   11729.30,            11719.33,   100.23,  63079.74,           57783.39,      0.53,     -0.01,           0.65,  +0.67,  -0.43
  6,     UK000H,       0,  0.244216, 2459443.448215364479, 236.26453,  32.72805,              277.68922,  37.65288,       277.69556,       37.64686,    236.26453,     +32.72805,     236.25624,      +32.72776,  2243596.11, -3415751.24,  5013157.00,      50.998653,       -3.600697,  102512.85,  165635.91,   13966.78,            13956.81,  -100.58,  55002.01,           57900.87,     22.66,     -0.52,          28.22,  +0.69,  -0.41
  7,     UK000H,       0,  0.284976, 2459443.448215836193, 236.30503,  31.86092,              276.85197,  37.09573,       276.86161,       37.08668,    236.30503,     +31.86092,     236.29224,      +31.86049,  2242947.67, -3416888.80,  5011023.85,      50.982683,       -3.617219,  101229.66,  165609.73,   16469.75,            16459.78,   -40.70,  61407.35,           58242.40,     34.33,     -0.79,          42.76,  +0.50,  -0.60
  8,     UK000H,       0,  0.325708, 2459443.448216307908, 236.31761,  31.03064,              276.08033,  36.54084,       276.07546,       36.54538,    236.31761,     +31.03064,     236.32596,      +31.03086,  2242327.51, -3417976.75,  5008983.73,      50.967401,       -3.633024,  100003.09,  165620.65,   18863.56,            18853.59,   -88.29,  58769.76,           58436.90,    -17.33,      0.39,          21.59,  +0.54,  -0.56
  9,     UK000H,       1,  0.366280, 2459443.448216777295, 236.30555,  30.38362,              275.50257,  36.09137,       275.47139,       36.12019,    236.30555,     +30.38362,     236.35142,      +30.38501,  2241844.91, -3418823.37,  5007396.15,      50.955504,       -3.645357,   99049.00,  165655.26,   20726.37,            20716.40,  -657.29,  45913.72,           57855.43,   -110.64,      2.48,         137.79,  +2.02,  +0.92
  0,     UK0024,       0,  0.195703, 2459443.448214801960, 263.58748,  52.47703,              289.59101,  65.24892,       289.57150,       65.26603,    263.58748,     +52.47703,     263.61862,      +52.47278,  2244356.01, -3414418.14,  5015656.83,      51.017357,       -3.581325,  104017.51,  114241.88,       0.00,            11023.59,  -126.02,      0.00,           59777.48,    -35.66,     12.53,          68.24,  +1.37,  +1.08
  1,     UK0024,       0,  0.236351, 2459443.448215272278, 263.14613,  51.26840,              286.97341,  64.69313,       286.95798,       64.70559,    263.14613,     +51.26840,     263.16911,      +51.26533,  2243671.39, -3415619.17,  5013404.66,      51.000506,       -3.598765,  102661.88,  113260.29,    2642.62,            13666.21,    80.23,  65012.32,           59777.48,    -26.29,      9.24,          50.75,  +1.52,  +1.25
  2,     UK0024,       0,  0.276955, 2459443.448215742130, 262.76519,  50.14540,              284.63838,  64.14275,       284.63377,       64.14623,    262.76519,     +50.14540,     262.77249,      +50.14454,  2243047.05, -3416714.45,  5011350.78,      50.985131,       -3.614679,  101426.29,  112412.47,    5052.57,            16076.16,    56.44,  59352.52,           59777.48,     -7.45,      2.62,          14.50,  +1.13,  +0.88
  3,     UK0024,       0,  0.317531, 2459443.448216211982, 262.42286,  49.08738,              282.52618,  63.59205,       282.53314,       63.58707,    262.42286,     +49.08738,     262.41543,      +49.08860,  2242467.87, -3417730.51,  5009445.47,      50.970861,       -3.629451,  100280.64,  111667.31,    7288.20,            18311.80,  -139.98,  55097.39,           59777.48,     10.77,     -3.79,          21.10,  +0.91,  +0.67
  4,     UK0024,       0,  0.358051, 2459443.448216680903, 262.10587,  48.16272,              280.76536,  63.06826,       280.75999,       63.07194,    262.10587,     +48.16272,     262.11384,      +48.16181,  2241966.35, -3418610.33,  5007795.65,      50.958498,       -3.642261,   99289.04,  111055.25,    9224.05,            20247.64,  -632.83,  47775.13,           56900.32,     -8.07,      2.84,          15.89,  +2.04,  +1.81
  0,     UK003E,       0,  0.030885, 2459443.448212890886, 251.52202,  23.24832,              256.34730,  40.46622,       256.35349,       40.46287,    251.52202,     +23.24832,     251.51588,      +23.24891,  2246766.78, -3410188.92,  5023587.46,      51.076615,       -3.519779,  108797.29,  165574.47,       0.00,             1718.06,   447.37,      0.00,           58017.18,     16.16,     -4.23,          20.81,  +2.35,  +1.26
  1,     UK003E,       0,  0.071345, 2459443.448213359341, 251.45800,  22.62329,              255.86661,  39.95692,       255.88107,       39.94912,    251.45800,     +22.62329,     251.44369,      +22.62467,  2246292.86, -3411020.32,  5022028.41,      51.064975,       -3.531916,  107856.90,  165840.26,    1829.33,             3547.39,  -148.40,  45213.34,           58017.18,     37.95,     -9.93,          48.79,  +1.30,  +0.20
  2,     UK003E,       0,  0.112025, 2459443.448213830125, 251.36235,  21.70819,              255.17836,  39.20601,       255.20070,       39.19401,    251.36235,     +21.70819,     251.34027,      +21.71033,  2245595.42, -3412243.85,  5019734.06,      51.047837,       -3.549695,  106473.65,  166263.35,    4521.46,             6239.52,   105.44,  66178.07,           58017.18,     59.12,    -15.47,          75.82,  +0.81,  -0.29
  3,     UK003E,       0,  0.152649, 2459443.448214299977, 251.26836,  20.88651,              254.58119,  38.52289,       254.60181,       38.51187,    251.26836,     +20.88651,     251.24820,      +20.88848,  2244965.46, -3413348.99,  5017661.70,      51.032348,       -3.565765,  105224.93,  166682.94,    6953.09,             8671.15,   102.15,  59857.13,           58017.18,     54.97,    -14.39,          70.32,  +0.89,  -0.22
  4,     UK003E,       0,  0.193269, 2459443.448214770295, 251.16872,  20.07891,              254.01284,  37.84366,       254.02369,       37.83788,    251.16872,     +20.07891,     251.15857,      +20.07994,  2244342.51, -3414441.82,  5015612.43,      51.017024,       -3.581654,  103990.78,  167131.88,    9357.63,            11075.69,    71.99,  59195.94,           58708.96,     29.17,     -7.63,          37.21,  +0.92,  -0.20
  5,     UK003E,       0,  0.233813, 2459443.448215239681, 251.08091,  19.37653,              253.52884,  37.24959,       253.52966,       37.24916,    251.08091,     +19.37653,     251.08107,      +19.37661,  2243797.93, -3415397.18,  5013820.93,      51.003621,       -3.595561,  102912.37,  167552.87,   11459.72,            13177.78,  -256.05,  51847.18,           57927.78,      2.21,     -0.58,           2.81,  +0.90,  -0.22
  6,     UK003E,       0,  0.274497, 2459443.448215710465, 251.00272,  18.47877,              252.89106,  36.50718,       252.91079,       36.49676,    251.00272,     +18.47877,     250.98396,      +18.48066,  2243099.88, -3416621.76,  5011524.59,      50.986432,       -3.613336,  101530.83,  168127.07,   14154.16,            15872.22,    -0.14,  66228.47,           58539.89,     53.87,    -14.09,          68.31,  +1.31,  +0.18
  7,     UK003E,       0,  0.315133, 2459443.448216180783, 250.90043,  17.66727,              252.35471,  35.81401,       252.35986,       35.81129,    250.90043,     +17.66727,     250.89654,      +17.66776,  2242462.35, -3417740.19,  5009427.33,      50.970725,       -3.629579,  100269.74,  168688.32,   16615.02,            18333.08,    25.07,  60558.62,           58963.18,     14.21,     -3.71,          17.95,  +1.06,  -0.08
  8,     UK003E,       0,  0.355697, 2459443.448216650169, 250.81619,  16.95670,              251.88854,  35.20788,       251.88584,       35.20930,    250.81619,     +16.95670,     250.82041,      +16.95644,  2241901.00, -3418724.97,  5007580.66,      50.956887,       -3.643897,   99159.88,  169211.80,   18781.84,            20499.90,  -239.44,  53417.29,           58791.34,     -7.50,      1.96,           9.45,  +3.86,  +2.72

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.