Orbital Analysis for matched events on 20210813_010932.898_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.95° Bg 37.71° Vg 59.00km/s
mass 0.04630g, abs. mag -1.2
Path Details
------------
start 1.84° 51.63° 107.46km
end   1.72° 51.57° 94.40km

Orbit Details
-------------
Semimajor axis 9.93A.U., eccentricity 0.90, inclination 114.09°, Period 31.30Y, LA Sun 140.23°, 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: 2459439.548297436908
Time: 2021-08-13 01:09:32.900158 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK002N
 Convergence angle = 56.84988 deg
 R.A. =  48.09801  Dec = +57.17761 deg
Intersection 2 - Stations: UK002K and UK0032
 Convergence angle = 0.53333 deg
 R.A. = 119.88734  Dec = +70.42895 deg
Intersection 3 - Stations: UK002N and UK0032
 Convergence angle = 57.30289 deg
 R.A. =  47.88580  Dec = +57.49278 deg

Best intersection: Stations UK002N and UK0032 with Qconv = 57.30 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3812979.67 +/- 62.76 m
 Y =  -1318510.01 +/- 58.05 m
 Z =   5061413.28 +/- 72.18 m
 Vx =    21551.58 +/- 398.89 m/s
 Vy =    24009.30 +/- 334.55 m/s
 Vz =    50628.56 +/- 481.80 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.831763e+02, +8.631886e+01, +6.117879e+02, -4.488327e+03, -7.219348e+03, -3.679308e+03
+8.631886e+01, +1.690045e+02, +7.178364e+02, -5.424636e+03, -7.680816e+03, -6.741099e+03
+6.117879e+02, +7.178364e+02, +3.226207e+03, -2.428267e+04, -3.500701e+04, -2.880325e+04
-4.488327e+03, -5.424636e+03, -2.428267e+04, +1.828189e+05, +2.632338e+05, +2.175700e+05
-7.219348e+03, -7.680816e+03, -3.500701e+04, +2.632338e+05, +3.811181e+05, +3.086625e+05
-3.679308e+03, -6.741099e+03, -2.880325e+04, +2.175700e+05, +3.086625e+05, +2.690475e+05

Timing offsets (from input data):
    UK002K: -0.000011 s
    UK002N: -0.000875 s
    UK0032: -0.000077 s

Reference point on the trajectory:
  Time: 2021-08-13 01:09:32.900158 UTC
  Lon     = ++1.840110 +/- 0.0010 deg
  Lat     = +51.625571 +/- 0.0003 deg
  Lat geo = +51.441243 +/- 0.0003 deg
  Ht      =  107569.03 +/- 77.02 m

  JD dynamic   = 2459439.549098196439 
  LST apparent = 340.9248609482 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.08776 +/- 0.3162 deg
  Dec       = +57.49252 +/- 0.3141 deg
  Azimuth   =  53.98707 +/- 0.5276 deg
  Elevation = +52.24370 +/- 0.1518 deg
  Vavg      =  59.39605 +/- 0.2489 km/s
  Vinit     =  60.03472 +/- 0.3607 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.28885 +/- 0.3162 deg
  Dec       = +57.27466 +/- 0.3141 deg
  Azimuth   =  54.25496 +/- 0.5276 deg
  Elevation = +52.06427 +/- 0.1518 deg
  Vavg      =  59.54231 +/- 0.2489 km/s
  Vinit     =  60.18098 +/- 0.3607 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.26335 +/- 0.3200 deg
  Dec    = +57.29099 +/- 0.3153 deg
  Vg     =  59.00006 +/- 0.3668 km/s
  Vinf   =  60.03472 +/- 0.3607 km/s
  Zc     =  37.86493 +/- 0.1516 deg
  Zg     =  38.20658 +/- 0.1525 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.95500 +/- 0.2900 deg
  Bg     = +37.70644 +/- 0.2771 deg
  Vh     =  40.76496 +/- 0.2836 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  81.94324 +/- 0.9136 deg
  Bh     = +62.27815 +/- 0.4263 deg
  Vh_x   =  -2.65775 +/- 0.3548 km/s
  Vh_y   = -18.77586 +/- 0.3151 km/s
  Vh_z   = -36.08581 +/- 0.2301 km/s
Orbit:
  La Sun = 140.234875 +/- nan deg
  a      =   9.932263 +/- 419.5224 AU
  e      =   0.904405 +/- 0.0251
  i      = 114.087396 +/- 0.5599 deg
  peri   = 150.167296 +/- 0.7237 deg
  node   = 140.234490 +/- 0.0000 deg
  Pi     = 290.401786 +/- 0.7237 deg
  q      =   0.949474 +/- 0.0025 AU
  f      =  29.828945 +/- 0.7238 deg
  M      =   0.667544 +/- nan deg
  Q      =  18.915053 +/- 839.0445 AU
  n      =   0.031487 +/- 0.0078 deg/day
  T      =  31.302065 +/- 399995134.3873 years
  Last perihelion JD = 2459418.348484 (2021-07-22 20:21:49.019789) +/- 0.6903 days
  Tj     =   0.042838 +/- 0.1459
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.892939e-03, +9.420595e-05, +4.569127e-02, -6.606839e-08, +7.980380e-04, +9.069570e-04
q   , +9.420595e-05, +3.157501e-06, +1.500667e-03, -2.066578e-09, +2.635232e-05, +2.838239e-05
Tp  , +4.569127e-02, +1.500667e-03, +7.234681e-01, -1.031411e-06, +1.265619e-02, +1.416065e-02
node, -6.606839e-08, -2.066578e-09, -1.031411e-06, +1.589114e-12, -1.788039e-08, -2.180202e-08
peri, +7.980380e-04, +2.635232e-05, +1.265619e-02, -1.788039e-08, +2.216280e-04, +2.455081e-04
i   , +9.069570e-04, +2.838239e-05, +1.416065e-02, -2.180202e-08, +2.455081e-04, +2.991171e-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: UK002N
  Avg. res. = 5.445e-06 s
  Stddev    = 2.33e-03 s

Begin point on the trajectory:
  Lon =     1.839175 +/- 0.0010 deg
  Lat =    51.625148 +/- 0.0002 deg
  Ht  = 107463.91 +/- 53.74 m
End point on the trajectory:
  Lon =     1.721539 +/- 0.0007 deg
  Lat =    51.572359 +/- 0.0004 deg
  Ht  = 94396.97 +/- 24.16 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   105190.89,    94396.97,          0.016203,     64.77,     46.34,              72.44, 0.9089,    True,    True, {"ff_name": "FF_UK002K_20210813_010925_581_0440320.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   107463.91,    95708.22,          0.011948,      2.65,     42.81,              27.29, 0.2102,    True,    True, {"ff_name": "FF_UK002N_20210813_010922_932_0452864.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   106813.23,    97295.47,          0.007092,     22.64,     15.87,              65.15, 0.8234,    True,    True, {"ff_name": "FF_UK0032_20210813_010932_050_0446464.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,     UK002K,       1,  0.000134, 2459439.548297571018,  12.56242,  -9.21179,              143.90536,  21.00114,       143.88679,       20.98666,     12.56242,      -9.21179,      12.58409,       -9.21917,  3812772.05, -1318741.31,  5060925.55,      51.623730,       +1.836000,  107111.78,  283849.94,       0.00,              578.35,   418.22,      0.00,           54413.11,     65.11,     91.01,          81.31,  +5.24,  +2.97
  1,     UK002K,       0,  0.040354, 2459439.548298036680,  12.40517,  -9.65592,              144.22859,  20.64053,       144.21047,       20.62643,     12.40517,      -9.65592,      12.42651,       -9.66313,  3811899.75, -1319713.08,  5058876.36,      51.615993,       +1.818738,  105190.89,  283132.32,    2429.90,             3008.25,   433.52,  60415.18,           54413.11,     63.39,     88.60,          79.37,  +1.53,  -0.73
  2,     UK002K,       0,  0.080530, 2459439.548298501410,  12.28155, -10.00476,              144.48123,  20.35676,       144.46396,       20.34334,     12.28155,     -10.00476,      12.30210,      -10.01165,  3811218.03, -1320472.55,  5057274.86,      51.609941,       +1.805207,  103689.88,  282583.50,    4328.94,             4907.29,   -79.40,  47268.02,           54413.11,     60.34,     84.34,          75.69,  +1.66,  -0.60
  3,     UK002K,       0,  0.120746, 2459439.548298967071,  12.13841, -10.43750,              144.78299,  20.00055,       144.77450,       19.99396,     12.13841,     -10.43750,      12.14890,      -10.44090,  3810381.75, -1321404.19,  5055310.30,      51.602511,       +1.788643,  101848.86,  281927.72,    6658.49,             7236.84,  -164.20,  57926.04,           54413.11,     29.65,     41.43,          37.28,  +1.13,  -1.12
  4,     UK002K,       0,  0.160978, 2459439.548299432732,  11.96146, -10.91292,              145.13178,  19.61509,       145.11816,       19.60454,     11.96146,     -10.91292,      11.97815,      -10.91838,  3809455.76, -1322435.79,  5053134.97,      51.594277,       +1.770316,   99810.68,  281223.07,    9237.97,             9816.32,    -0.04,  64115.04,           56468.30,     47.43,     66.29,          59.79,  +1.16,  -1.09
  5,     UK002K,       0,  0.201238, 2459439.548299898393,  11.78580, -11.43415,              145.49379,  19.18523,       145.48885,       19.18141,     11.78580,     -11.43415,      11.79249,      -11.43613,  3808456.56, -1323548.93,  5050787.68,      51.585382,       +1.750548,   97611.80,  280487.93,   12021.35,            12599.70,   366.35,  69135.23,           58867.29,     17.16,     23.98,          21.69,  +1.11,  -1.13
  6,     UK002K,       0,  0.241430, 2459439.548300363589,  11.64049, -11.83129,              145.77910,  18.86085,       145.77281,       18.85599,     11.64049,     -11.83129,      11.64895,      -11.83382,  3807692.52, -1324400.10,  5048992.81,      51.578575,       +1.735388,   95930.68,  279941.84,   14149.69,            14728.04,    81.77,  52954.36,           59090.28,     21.85,     30.54,          27.67,  +1.11,  -1.13
  7,     UK002K,       0,  0.281598, 2459439.548300828785,  11.49570, -12.19113,              146.04907,  18.57074,       146.03208,       18.55764,     11.49570,     -12.19113,      11.51697,      -12.19798,  3806995.38, -1325176.74,  5047355.10,      51.572359,       +1.721539,   94396.97,  279456.34,   16091.67,            16670.02,  -387.73,  48346.22,           58289.04,     58.92,     82.37,          74.75,  +1.67,  -0.56
  0,     UK002N,       0,  0.000000, 2459439.548297455534,  58.57868,  30.80303,               76.28067,  29.38839,        76.27844,       29.38713,     58.57868,     +30.80303,      58.58131,      +30.80352,  3812931.94, -1318563.18,  5061301.15,      51.625148,       +1.839175,  107463.91,  213452.65,       0.00,              132.96,   -19.10,      0.00,           59539.72,      8.58,     -0.53,           8.31,  +2.16,  +0.51
  1,     UK002N,       0,  0.040288, 2459439.548297921661,  58.64603,  30.47611,               76.49855,  29.11617,        76.48491,       29.10850,     58.64603,     +30.47611,      58.66228,      +30.47909,  3811981.62, -1319621.88,  5059068.68,      51.616719,       +1.820384,  105371.16,  211101.49,    2647.24,             2780.20,   209.46,  65707.81,           59539.72,     52.11,     -3.21,          51.01,  +1.57,  -0.05
  2,     UK002N,       0,  0.080540, 2459439.548298387788,  58.73911,  30.19395,               76.66092,  28.85946,        76.66619,       28.86243,     58.73911,     +30.19395,      58.73324,      +30.19279,  3811159.73, -1320537.49,  5057137.92,      51.609423,       +1.804106,  103561.54,  209072.55,    4936.71,             5069.67,    82.41,  56878.40,           59539.72,    -20.00,      1.24,          19.77,  +0.99,  -0.61
  3,     UK002N,       0,  0.120796, 2459439.548298853450,  58.82648,  29.90469,               76.83175,  28.60072,        76.85027,       28.61111,     58.82648,     +29.90469,      58.80522,      +29.90065,  3810337.26, -1321453.76,  5055205.79,      51.602116,       +1.787812,  101750.93,  207047.74,    7227.81,             7360.77,   -43.24,  56913.33,           59539.72,    -69.59,      4.34,          69.46,  +0.70,  -0.88
  4,     UK002N,       0,  0.161072, 2459439.548299319576,  58.87997,  29.59159,               77.04420,  28.34516,        77.04398,       28.34504,     58.87997,     +29.59159,      58.88090,      +29.59164,  3809484.72, -1322403.52,  5053203.02,      51.594534,       +1.770925,   99874.43,  204955.33,    9602.67,             9735.63,   -86.35,  58964.56,           59073.31,      0.81,     -0.05,           0.82,  +0.91,  -0.65
  5,     UK002N,       0,  0.201368, 2459439.548299786169,  58.97434,  29.25872,               77.24217,  28.05001,        77.25301,       28.05608,     58.97434,     +29.25872,      58.96248,      +29.25637,  3808579.37, -1323412.12,  5051076.17,      51.586476,       +1.752997,   97882.02,  202740.86,   12124.65,            12257.62,    16.48,  62586.57,           59442.35,    -40.00,      2.49,          40.77,  +0.37,  -1.16
  6,     UK002N,       0,  0.241700, 2459439.548300252762,  59.03388,  28.87851,               77.50058,  27.74161,        77.48511,       27.73295,     59.03388,     +28.87851,      59.05300,      +28.88186,  3807591.40, -1324512.75,  5048755.26,      51.577673,       +1.733444,   95708.22,  200333.72,   14876.76,            15009.72,   347.27,  68236.28,           60517.91,     56.54,     -3.48,          58.33,  +0.63,  -0.88
  0,     UK0032,       0,  0.013390, 2459439.548297722358,  14.45314,  -2.26350,              139.35754,  27.31401,       139.36544,       27.32037,     14.45314,      -2.26350,      14.44428,       -2.26041,  3812636.48, -1318892.33,  5060607.08,      51.622528,       +1.833289,  106813.23,  225941.80,       0.00,              955.99,     0.09,      0.00,           61025.95,    -21.45,    -30.57,          34.10,  +2.65,  +0.88
  1,     UK0032,       0,  0.053522, 2459439.548298186623,  14.25869,  -2.78520,              139.78747,  26.90972,       139.78655,       26.90898,     14.25869,      -2.78520,      14.26000,       -2.78557,  3811776.22, -1319850.70,  5058586.16,      51.614897,       +1.816262,  104918.88,  224954.30,    2396.38,             3352.37,   -12.84,  59712.45,           61025.95,      2.49,      3.55,           3.98,  +1.83,  +0.07
  2,     UK0032,       0,  0.093670, 2459439.548298651353,  14.05782,  -3.34630,              140.23775,  26.47015,       140.23389,       26.46706,     14.05782,      -3.34630,      14.06264,       -3.34782,  3810863.33, -1320867.70,  5056441.61,      51.606791,       +1.798200,  102909.00,  223930.20,    4939.36,             5895.34,   119.86,  63340.03,           61025.95,     10.40,     14.84,          16.69,  +1.28,  -0.47
  3,     UK0032,       0,  0.133822, 2459439.548299116082,  13.88198,  -3.88071,              140.64735,  26.04417,       140.65311,       26.04877,     13.88198,      -3.88071,      13.87602,       -3.87845,  3810009.25, -1321819.18,  5054435.22,      51.599200,       +1.781285,  101028.91,  222993.77,    7318.51,             8274.49,    88.50,  59253.61,           61025.95,    -15.47,    -22.06,          24.92,  +1.04,  -0.70
  4,     UK0032,       0,  0.173966, 2459439.548299580812,  13.65552,  -4.47330,              141.13001,  25.58223,       141.12180,       25.57570,     13.65552,      -4.47330,      13.66564,       -4.47654,  3809054.89, -1322882.37,  5052193.26,      51.590709,       +1.762400,   98928.46,  221973.77,    9977.00,            10932.99,   336.96,  66224.05,           61965.43,     21.97,     31.34,          35.57,  +1.04,  -0.69
  5,     UK0032,       0,  0.214102, 2459439.548300045077,  13.50531,  -4.94753,              141.48169,  25.19965,       141.48719,       25.20402,     13.50531,      -4.94753,      13.49997,       -4.94536,  3808312.81, -1323709.07,  5050449.98,      51.584102,       +1.747674,   97295.47,  221198.17,   12044.15,            13000.14,    -5.44,  51503.64,           60739.65,    -14.67,    -20.92,          23.83,  +1.25,  -0.47

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.