Orbital Analysis for matched events on 20210816_024224.071_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 68.44° Bg 39.02° Vg 58.35km/s
mass 0.02073g, abs. mag -0.4
Path Details
------------
start -0.19° 50.94° 109.78km
end   -0.27° 50.89° 95.76km

Orbit Details
-------------
Semimajor axis 14.23A.U., eccentricity 0.93, inclination 111.31°, Period 53.66Y, LA Sun 143.18°, 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: 2459442.612778610550
Time: 2021-08-16 02:42:24.071952 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002B
 Convergence angle = 37.81261 deg
 R.A. =  56.00168  Dec = +59.57194 deg
Intersection 2 - Stations: UK000F and UK002C
 Convergence angle = 23.01751 deg
 R.A. =  55.37498  Dec = +58.99097 deg
Intersection 3 - Stations: UK002B and UK002C
 Convergence angle = 14.79871 deg
 R.A. =  55.68952  Dec = +60.57539 deg

Best intersection: Stations UK000F and UK002B with Qconv = 37.81 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4080409.24 +/- 119.24 m
 Y =    366465.50 +/- 166.86 m
 Z =   5014204.47 +/- 85.60 m
 Vx =    16945.45 +/- 636.39 m/s
 Vy =    24415.59 +/- 847.67 m/s
 Vz =    51429.87 +/- 918.54 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.389728e+04, +1.915017e+04, +9.388439e+03, +6.958524e+04, +8.795972e+04, +4.943360e+03
+1.915017e+04, +2.760789e+04, +1.349425e+04, +9.803191e+04, +1.292063e+05, +6.242645e+03
+9.388439e+03, +1.349425e+04, +7.628925e+03, +4.624304e+04, +5.944677e+04, +3.181988e+03
+6.958524e+04, +9.803191e+04, +4.624304e+04, +3.698478e+05, +4.798019e+05, +2.054651e+04
+8.795972e+04, +1.292063e+05, +5.944677e+04, +4.798019e+05, +6.540858e+05, +2.258501e+04
+4.943360e+03, +6.242645e+03, +3.181988e+03, +2.054651e+04, +2.258501e+04, +4.332634e+03

Timing offsets (from input data):
    UK000F: 0.000195 s
    UK002B: -0.001378 s
    UK002C: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 02:42:24.071952 UTC
  Lon     = +-0.186426 +/- 0.0022 deg
  Lat     = +50.934864 +/- 0.0005 deg
  Lat geo = +50.749619 +/- 0.0005 deg
  Ht      =  109717.73 +/- 147.68 m

  JD dynamic   = 2459442.613579351455 
  LST apparent = 5.1320206140 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  55.23771 +/- 0.2206 deg
  Dec       = +59.97761 +/- 0.8666 deg
  Azimuth   =  52.31885 +/- 1.7792 deg
  Elevation = +60.98479 +/- 0.1080 deg
  Vavg      =  57.04175 +/- 1.3109 km/s
  Vinit     =  59.39950 +/- 0.5449 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  55.60427 +/- 0.2206 deg
  Dec       = +59.78605 +/- 0.8666 deg
  Azimuth   =  52.67905 +/- 1.7792 deg
  Elevation = +60.78526 +/- 0.1080 deg
  Vavg      =  57.15707 +/- 1.3109 km/s
  Vinit     =  59.51482 +/- 0.5449 km/s
Radiant (geocentric, J2000):
  R.A.   =  55.31585 +/- 0.2293 deg
  Dec    = +59.88885 +/- 0.8732 deg
  Vg     =  58.35397 +/- 0.5548 km/s
  Vinf   =  59.39950 +/- 0.5449 km/s
  Zc     =  29.12878 +/- 0.1069 deg
  Zg     =  29.39313 +/- 0.1072 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.44146 +/- 0.4047 deg
  Bg     = +39.02032 +/- 0.8229 deg
  Vh     =  41.10638 +/- 0.0939 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  92.17349 +/- 2.1126 deg
  Bh     = +63.35039 +/- 1.1188 deg
  Vh_x   =   0.69925 +/- 0.6358 km/s
  Vh_y   = -18.42431 +/- 0.7810 km/s
  Vh_z   = -36.73949 +/- 0.3070 km/s
Orbit:
  La Sun = 143.178592 +/- nan deg
  a      =  14.226191 +/- 1.8473 AU
  e      =   0.934685 +/- 0.0080
  i      = 111.307679 +/- 1.5151 deg
  peri   = 146.034456 +/- 0.4583 deg
  node   = 143.178989 +/- 0.0001 deg
  Pi     = 289.213445 +/- 0.4583 deg
  q      =   0.929190 +/- 0.0019 AU
  f      =  33.962169 +/- 0.4583 deg
  M      =   0.432075 +/- 0.0861 deg
  Q      =  27.523193 +/- 3.6934 AU
  n      =   0.018368 +/- 0.0034 deg/day
  T      =  53.657891 +/- 10.6807 years
  Last perihelion JD = 2459419.090833 (2021-07-23 14:10:48.013920) +/- 0.3173 days
  Tj     =  -0.061311 +/- 0.0699
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.012814e-05, +1.135082e-05, +2.297236e-03, -1.012069e-08, +5.305268e-05, +1.592146e-04
q   , +1.135082e-05, +3.873678e-06, +6.218961e-04, -1.788643e-09, +1.595949e-05, +2.833230e-05
Tp  , +2.297236e-03, +6.218961e-04, +1.059617e-01, -3.495480e-07, +2.643234e-03, +5.522734e-03
node, -1.012069e-08, -1.788643e-09, -3.495480e-07, +2.569369e-12, -8.193370e-09, -4.067405e-08
peri, +5.305268e-05, +1.595949e-05, +2.643234e-03, -8.193370e-09, +6.682584e-05, +1.295964e-04
i   , +1.592146e-04, +2.833230e-05, +5.522734e-03, -4.067405e-08, +1.295964e-04, +6.439642e-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: UK002C
  Avg. res. = 1.604e-06 s
  Stddev    = 1.27e-03 s

Begin point on the trajectory:
  Lon =    -0.186061 +/- 0.0021 deg
  Lat =    50.935042 +/- 0.0005 deg
  Ht  = 109777.18 +/- 137.98 m
End point on the trajectory:
  Lon =    -0.273440 +/- 0.0016 deg
  Lat =    50.892905 +/- 0.0005 deg
  Ht  = 95757.92 +/- 101.25 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   107899.03,    97880.71,          0.017339,     26.37,     43.99,              56.94, 0.7025,    True,    True, {"ff_name": "FF_UK000F_20210816_024221_070_0593152.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   108495.20,    98371.23,          0.013522,      4.14,     31.11,              18.11, 0.0966,    True,    True, {"ff_name": "FF_UK002B_20210816_024221_262_0600576.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   109777.18,    95757.92,          0.009122,      3.58,     25.33,              40.70, 0.4253,    True,    True, {"ff_name": "FF_UK002C_20210816_024214_422_0594432.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,     UK000F,       0,  0.038025, 2459442.612779054325,  31.80303,   5.90086,              143.59181,  38.61327,       143.55364,       38.59211,     31.80303,      +5.90086,      31.83890,       +5.89218,  4079815.92,   365610.62,  5012403.72,      50.929412,       -0.197754,  107899.03,  170647.90,       0.00,             2079.80,   400.36,      0.00,           56493.24,     93.43,     56.00,         131.66,  +3.64,  +2.48
  1,     UK000F,       0,  0.078453, 2459442.612779522315,  31.70749,   5.34007,              143.96680,  38.12635,       143.97463,       38.13068,     31.70749,      +5.34007,      31.70047,       +5.34185,  4079245.05,   364788.10,  5010671.14,      50.924164,       -0.208671,  106149.32,  169558.92,    2001.06,             4080.86,     0.02,  49496.92,           56493.24,    -19.12,    -11.44,          27.11,  +1.39,  +0.24
  2,     UK000F,       0,  0.118933, 2459442.612779990770,  31.52624,   4.68957,              144.47841,  37.58544,       144.46779,       37.57960,     31.52624,      +4.68957,      31.53672,       +4.68714,  4078575.32,   363823.13,  5008638.47,      50.918001,       -0.221454,  104096.72,  168303.73,    4348.71,             6428.50,   -56.83,  57995.27,           56493.24,     25.81,     15.46,          36.87,  +0.89,  -0.24
  3,     UK000F,       0,  0.159461, 2459442.612780459691,  31.36044,   3.98165,              144.99048,  36.98337,       144.99075,       36.98351,     31.36044,      +3.98165,      31.36086,       +3.98171,  4077864.65,   362799.17,  5006481.57,      50.911456,       -0.235013,  101918.88,  166998.05,    6839.85,             8919.64,    26.97,  61467.03,           56493.24,     -0.64,     -0.39,           0.93,  +0.54,  -0.57
  4,     UK000F,       0,  0.199973, 2459442.612780928612,  31.18927,   3.29303,              145.49266,  36.39922,       145.49343,       36.39965,     31.18927,      +3.29303,      31.18937,       +3.29321,  4077181.52,   361814.89,  5004408.26,      50.905159,       -0.248059,   99825.63,  165768.48,    9234.45,            11314.24,    15.17,  59108.44,           57564.52,     -1.87,     -1.12,           2.71,  +0.40,  -0.70
  5,     UK000F,       0,  0.240449, 2459442.612781397067,  31.00975,   2.64842,              145.97847,  35.85729,       145.96062,       35.84757,     31.00975,      +2.64842,      31.02772,       +2.64430,  4076546.74,   360900.29,  5002481.70,      50.899302,       -0.260197,   97880.71,  164648.67,   11459.54,            13539.34,  -163.99,  54973.19,           57500.27,     42.98,     25.76,          62.78,  +0.86,  -0.22
  0,     UK002B,       0,  0.030973, 2459442.612779184710,  59.52598,  42.24129,               80.66927,  51.76769,        80.68815,       51.78180,     59.52598,     +42.24129,      59.50163,      +42.23906,  4080010.41,   365890.86,  5012994.02,      50.931200,       -0.194140,  108495.20,  137357.54,       0.00,             1398.02,   137.49,      0.00,           58114.31,    -43.52,      5.83,          65.93,  +3.24,  +2.55
  1,     UK002B,       0,  0.071105, 2459442.612779648975,  59.56859,  41.92761,               81.06677,  51.57118,        81.08182,       51.58236,     59.56859,     +41.92761,      59.54952,      +41.92585,  4079315.25,   364889.25,  5010884.19,      50.924809,       -0.207395,  106364.47,  135033.93,    2436.77,             3834.79,   190.44,  60718.98,           58114.31,    -34.05,      4.55,          52.47,  +2.35,  +1.70
  2,     UK002B,       0,  0.111233, 2459442.612780113705,  59.60213,  41.62045,               81.45778,  51.38233,        81.46324,       51.38636,     59.60213,     +41.62045,      59.59567,      +41.61981,  4078658.06,   363942.35,  5008889.60,      50.918763,       -0.219940,  104350.31,  132840.72,    4740.44,             6138.46,   110.52,  57408.01,           58114.31,    -12.13,      1.61,          18.99,  +1.51,  +0.89
  3,     UK002B,       0,  0.151373, 2459442.612780577969,  59.65949,  41.31044,               81.83332,  51.17552,        81.84753,       51.18595,     59.65949,     +41.31044,      59.64206,      +41.30880,  4078011.63,   363010.94,  5006927.66,      50.912810,       -0.232286,  102369.28,  130687.13,    7006.41,             8404.43,    -7.80,  56451.72,           58114.31,    -31.03,      4.13,          49.41,  +1.49,  +0.91
  4,     UK002B,       0,  0.191489, 2459442.612781042233,  59.66575,  40.98413,               82.26079,  50.99007,        82.24260,       50.97676,     59.66575,     +40.98413,      59.68972,      +40.98619,  4077362.90,   362076.23,  5004958.75,      50.906831,       -0.244681,  100381.39,  128529.98,    9280.42,            10678.44,  -116.66,  56685.84,           57638.91,     39.04,     -5.13,          63.19,  +1.09,  +0.54
  5,     UK002B,       0,  0.231645, 2459442.612781507429,  59.73155,  40.64811,               82.65721,  50.76025,        82.65204,       50.75649,     59.73155,     +40.64811,      59.73912,      +40.64869,  4076706.84,   361130.96,  5002967.60,      50.900780,       -0.257218,   98371.23,  126352.85,   11580.12,            12978.14,  -202.21,  57269.17,           57450.19,     10.90,     -1.44,          17.94,  +1.32,  +0.81
  0,     UK002C,       0,  0.000000, 2459442.612778610550,  51.65580,  19.85434,              111.65219,  41.08992,       111.67095,       41.10216,     51.65580,     +19.85434,      51.63594,      +19.85524,  4080428.63,   366493.44,  5014263.33,      50.935042,       -0.186061,  109777.18,  164975.34,       0.00,               67.98,   647.22,      0.00,           54714.52,    -53.32,     -7.51,          67.32,  +3.82,  +2.73
  1,     UK002C,       0,  0.040280, 2459442.612779076677,  51.60787,  19.36511,              112.09757,  40.73203,       112.09794,       40.73227,     51.60787,     +19.36511,      51.60765,      +19.36513,  4079809.22,   365600.97,  5012383.39,      50.929351,       -0.197888,  107878.50,  163314.84,    2171.26,             2103.28,   289.90,  53904.19,           54714.52,     -1.03,     -0.15,           1.32,  +1.91,  +0.84
  2,     UK002C,       0,  0.080556, 2459442.612779542804,  51.57550,  18.89587,              112.50716,  40.37948,       112.50270,       40.37660,     51.57550,     +18.89587,      51.58053,      +18.89565,  4079227.34,   364762.58,  5010617.38,      50.924001,       -0.209012,  106095.03,  161765.60,    4210.93,             4142.94,   -62.81,  50642.27,           54714.52,     12.45,      1.76,          16.03,  +1.29,  +0.25
  3,     UK002C,       0,  0.120896, 2459442.612780009862,  51.54132,  18.31782,              113.00045,  39.94009,       112.99463,       39.93635,     51.54132,     +18.31782,      51.54796,      +18.31754,  4078526.01,   363752.08,  5008488.82,      50.917547,       -0.222390,  103945.61,  159914.77,    6669.34,             6601.35,    -0.58,  60942.20,           54714.52,     16.10,      2.28,          20.97,  +0.87,  -0.15
  4,     UK002C,       0,  0.161232, 2459442.612780476455,  51.51190,  17.76027,              113.46700,  39.51243,       113.46319,       39.50999,     51.51190,     +17.76027,      51.51658,      +17.76009,  4077864.64,   362799.16,  5006481.56,      50.911456,       -0.235020,  101918.87,  158184.24,    8987.64,             8919.65,   -78.22,  57474.72,           55754.75,     10.45,      1.48,          13.76,  +0.74,  -0.26
  5,     UK002C,       0,  0.201628, 2459442.612780943979,  51.48320,  17.10052,              114.00588,  39.00065,       114.00954,       39.00299,     51.48320,     +17.10052,      51.48019,      +17.10069,  4077100.67,   361698.41,  5004162.89,      50.904413,       -0.249589,   99577.92,  156205.63,   11665.61,            11597.63,   200.26,  66293.11,           57560.70,     -9.94,     -1.41,          13.26,  +0.65,  -0.32
  6,     UK002C,       0,  0.241932, 2459442.612781410571,  51.46561,  16.60544,              114.40137,  38.61284,       114.41506,       38.62154,     51.46561,     +16.60544,      51.45225,      +16.60610,  4076539.75,   360890.20,  5002460.46,      50.899238,       -0.260334,   97859.27,  154764.16,   13631.85,            13563.87,  -227.54,  48785.19,           57265.05,    -36.87,     -5.21,          49.62,  +0.84,  -0.11
  7,     UK002C,       0,  0.282292, 2459442.612781877629,  51.41019,  15.98883,              114.92123,  38.14705,       114.91467,       38.14289,     51.41019,     +15.98883,      51.41825,      +15.98852,  4075853.85,   359901.94,  5000378.75,      50.892905,       -0.273440,   95757.92,  153019.45,   16036.15,            15968.16,  -220.61,  59571.18,           57334.24,     17.51,      2.49,          23.85,  +3.30,  +2.38

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.