Orbital Analysis for matched events on 20210813_015405.016_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.75° Bg 39.56° Vg 58.53km/s
mass 0.04369g, abs. mag -1.2
Path Details
------------
start -2.00° 52.07° 106.80km
end   -2.12° 52.02° 91.45km

Orbit Details
-------------
Semimajor axis 18.62A.U., eccentricity 0.95, inclination 111.23°, Period 80.32Y, LA Sun 140.26°, 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: 2459439.579224727582
Time: 2021-08-13 01:54:05.042253 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK002Z
 Convergence angle = 31.87265 deg
 R.A. =  45.00031  Dec = +57.90330 deg

Best intersection: Stations UK002H and UK002Z with Qconv = 31.87 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3910978.30 +/- 324.08 m
 Y =   -812708.71 +/- 59.89 m
 Z =   5093500.82 +/- 100.41 m
 Vx =    20279.79 +/- 1821.36 m/s
 Vy =    22548.22 +/- 527.10 m/s
 Vz =    51275.59 +/- 893.06 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.624057e+04, -1.283345e+04, -1.210056e+04, +3.207658e+05, -3.665696e+04, -1.546481e+04
-1.283345e+04, +3.655978e+03, +5.590228e+03, -6.936169e+04, +8.293419e+03, +4.930414e+03
-1.210056e+04, +5.590228e+03, +1.084177e+04, -9.021032e+04, +9.683445e+03, +8.061174e+03
+3.207658e+05, -6.936169e+04, -9.021032e+04, +1.940843e+06, -2.221265e+05, -1.449657e+05
-3.665696e+04, +8.293419e+03, +9.683445e+03, -2.221265e+05, +3.007334e+04, +1.719752e+04
-1.546481e+04, +4.930414e+03, +8.061174e+03, -1.449657e+05, +1.719752e+04, +1.934601e+04

Timing offsets (from input data):
    UK002H: -0.000064 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 01:54:05.042253 UTC
  Lon     = +-1.988263 +/- 0.0007 deg
  Lat     = +52.078651 +/- 0.0025 deg
  Lat geo = +51.895038 +/- 0.0025 deg
  Ht      =  108100.48 +/- 183.72 m

  JD dynamic   = 2459439.580025766976 
  LST apparent = 348.2608966175 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.03190 +/- 2.7552 deg
  Dec       = +59.39824 +/- 0.9909 deg
  Azimuth   =  53.38756 +/- 2.4222 deg
  Elevation = +56.77249 +/- 1.1298 deg
  Vavg      =  57.60776 +/- 0.2086 km/s
  Vinit     =  59.57246 +/- 0.4189 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.30669 +/- 2.7552 deg
  Dec       = +59.19006 +/- 0.9909 deg
  Azimuth   =  53.69030 +/- 2.4222 deg
  Elevation = +56.58442 +/- 1.1298 deg
  Vavg      =  57.73646 +/- 0.2086 km/s
  Vinit     =  59.70116 +/- 0.4189 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.17962 +/- 2.7850 deg
  Dec    = +59.24367 +/- 0.9898 deg
  Vg     =  58.52969 +/- 0.4263 km/s
  Vinf   =  59.57246 +/- 0.4189 km/s
  Zc     =  33.33730 +/- 1.1360 deg
  Zg     =  33.64025 +/- 1.1505 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.75020 +/- 2.1924 deg
  Bg     = +39.55823 +/- 0.4270 deg
  Vh     =  41.27296 +/- 0.2192 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  85.45614 +/- 5.8372 deg
  Bh     = +64.57554 +/- 0.2207 deg
  Vh_x   =  -1.40377 +/- 1.8156 km/s
  Vh_y   = -17.66365 +/- 0.3016 km/s
  Vh_z   = -37.27576 +/- 0.1523 km/s
Orbit:
  La Sun = 140.264572 +/- -0.0000 deg
  a      =  18.615678 +/- 29.7234 AU
  e      =   0.948992 +/- 0.0197
  i      = 111.229997 +/- 1.2899 deg
  peri   = 150.565884 +/- 4.3507 deg
  node   = 140.264575 +/- 0.0001 deg
  Pi     = 290.830459 +/- 4.3506 deg
  q      =   0.949551 +/- 0.0174 AU
  f      =  29.430504 +/- 4.3507 deg
  M      =   0.253741 +/- nan deg
  Q      =  36.281805 +/- 59.4353 AU
  n      =   0.012271 +/- 0.0051 deg/day
  T      =  80.319116 +/- 249443806.4211 years
  Last perihelion JD = 2459418.902187 (2021-07-23 09:39:08.951693) +/- 2.4024 days
  Tj     =  -0.152311 +/- 0.0991
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.218741e-04, -1.714432e-05, +7.740839e-04, +5.805452e-10, -1.129403e-05, -1.012062e-05
q   , -1.714432e-05, +1.664683e-04, +2.855551e-02, -1.514907e-08, +7.696397e-04, +2.206856e-04
Tp  , +7.740839e-04, +2.855551e-02, +5.027606e+00, -2.643191e-06, +1.344237e-01, +3.844233e-02
node, +5.805452e-10, -1.514907e-08, -2.643191e-06, +1.412891e-12, -7.089355e-08, -2.055680e-08
peri, -1.129403e-05, +7.696397e-04, +1.344237e-01, -7.089355e-08, +3.603032e-03, +1.031572e-03
i   , -1.012062e-05, +2.206856e-04, +3.844233e-02, -2.055680e-08, +1.031572e-03, +2.991223e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.002166
 a2 = 35.889765

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 1.836e-06 s
  Stddev    = 1.36e-03 s

Begin point on the trajectory:
  Lon =    -1.998056 +/- 0.0006 deg
  Lat =    52.074167 +/- 0.0021 deg
  Ht  = 106802.15 +/- 181.89 m
End point on the trajectory:
  Lon =    -2.115399 +/- 0.0006 deg
  Lat =    52.020929 +/- 0.0029 deg
  Ht  = 91452.97 +/- 200.37 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.002188,  35.860210,   106802.15,    91452.97,          0.006097,     17.46,      8.08,              70.76, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20210813_015402_136_0495360.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   106211.57,    98269.76,          0.031176,    121.53,     15.34,              90.87, 1.0000,    True,   False, {"ff_name": "FF_UK002Z_20210813_015402_187_0507136.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,     UK002H,       0,  0.024895, 2459439.579225026071, 356.86811,  -1.29846,              168.98195,  34.79801,       168.97565,       34.79489,    356.86811,      -1.29846,     356.87372,       -1.30098,  3910449.92,  -813296.20,  5092164.85,      52.074167,       -1.998056,  106802.15,  184035.38,       0.00,             1552.15,   367.72,      0.00,           56582.13,      8.16,     17.62,          21.76,  +2.88,  +1.56
  1,     UK002H,       0,  0.065387, 2459439.579225494992, 356.61939,  -1.85519,              169.35762,  34.27266,       169.36026,       34.27397,    356.61939,      -1.85519,     356.61735,       -1.85414,  3909755.18,  -814068.65,  5090408.27,      52.068267,       -2.011105,  105095.22,  183432.46,    2040.81,             3592.96,    -3.69,  50400.27,           56582.13,     -3.43,     -7.39,           9.16,  +1.69,  +0.37
  2,     UK002H,       0,  0.105943, 2459439.579225964379, 356.33150,  -2.48443,              169.78448,  33.67819,       169.79056,       33.68118,    356.33150,      -2.48443,     356.32660,       -2.48199,  3908971.97,  -814939.47,  5088427.99,      52.061611,       -2.025798,  103171.12,  182778.03,    4341.52,             5893.67,  -118.99,  56729.25,           56582.13,     -7.88,    -17.01,          21.16,  +1.50,  +0.19
  3,     UK002H,       0,  0.146559, 2459439.579226434231, 356.00354,  -3.18068,              170.26074,  33.01956,       170.26178,       33.02007,    356.00354,      -3.18068,     356.00323,       -3.18026,  3908107.21,  -815900.95,  5086241.53,      52.054254,       -2.042009,  101046.97,  182086.81,    6881.77,             8433.92,     1.66,  62543.06,           56582.13,     -1.35,     -2.92,           3.64,  +0.82,  -0.48
  4,     UK002H,       0,  0.187171, 2459439.579226904549, 355.67899,  -3.87523,              170.72521,  32.36037,       170.72420,       32.35988,    355.67899,      -3.87523,     355.68068,       -3.87564,  3907252.23,  -816851.57,  5084079.78,      52.046974,       -2.058044,   98947.11,  181435.90,    9393.30,            10945.45,    93.84,  61842.22,           58237.22,      1.31,      2.84,           3.56,  +0.54,  -0.75
  5,     UK002H,       0,  0.227739, 2459439.579227373935, 355.38674,  -4.52178,              171.13946,  31.74417,       171.14641,       31.74757,    355.38674,      -4.52178,     355.38148,       -4.51894,  3906466.46,  -817725.24,  5082093.03,      52.040278,       -2.072798,   97017.47,  180866.36,   11701.53,            13253.68,   -14.67,  56897.64,           58518.15,     -9.05,    -19.54,          24.55,  +0.50,  -0.79
  6,     UK002H,       0,  0.268335, 2459439.579227843788, 355.07512,  -5.19734,              171.57306,  31.09928,       171.58294,       31.10411,    355.07512,      -5.19734,     355.06736,       -5.19327,  3905647.76,  -818635.52,  5080023.02,      52.033294,       -2.088169,   95007.21,  180302.67,   14106.49,            15658.64,   -28.12,  59241.33,           58695.97,    -12.88,    -27.81,          35.06,  +0.37,  -0.91
  7,     UK002H,       0,  0.308903, 2459439.579228313174, 354.76641,  -5.84260,              171.99377,  30.48271,       171.99712,       30.48434,    354.76641,      -5.84260,     354.76468,       -5.84121,  3904865.60,  -819505.17,  5078045.40,      52.026616,       -2.102865,   93086.90,  179792.59,   16404.11,            17956.26,  -147.23,  56636.29,           58598.46,     -4.36,     -9.43,          11.92,  +0.56,  -0.71
  8,     UK002H,       0,  0.349383, 2459439.579228781629, 354.49398,  -6.39105,              172.35803,  29.95820,       172.34784,       29.95324,    354.49398,      -6.39105,     354.50471,       -6.39529,  3904200.01,  -820245.20,  5076362.53,      52.020929,       -2.115399,   91452.97,  179380.47,   18359.28,            19911.43,  -603.55,  48299.76,           57868.23,     13.32,     28.79,          36.48,  +1.38,  +0.11
  0,     UK002Z,       1,  0.000000, 2459439.579224727582, 319.87715,  -3.26768,              214.38110,  27.90775,       214.33064,       27.89910,    319.87715,      -3.26768,     319.91632,       -3.29080,  3910984.10,  -812702.27,  5093515.48,      52.078700,       -1.988047,  108114.72,  224504.65,       0.00,               17.03,   315.66,      0.00,           57523.59,    -22.24,    176.61,         163.55,  +3.63,  +1.87
  1,     UK002Z,       0,  0.040464, 2459439.579225196037, 319.59577,  -3.77706,              214.48601,  27.33355,       214.45791,       27.32873,    319.59577,      -3.77706,     319.61787,       -3.79001,  3910209.56,  -813563.45,  5091557.11,      52.072126,       -2.002573,  106211.57,  224596.19,    2275.25,             2258.22,   146.31,  56228.97,           57523.59,    -12.42,     98.87,          91.51,  +0.84,  -0.92
  2,     UK002Z,       0,  0.080924, 2459439.579225664027, 319.32492,  -4.29693,              214.57442,  26.75298,       214.58463,       26.75473,    319.32492,      -4.29693,     319.31724,       -4.29220,  3909429.50,  -814430.76,  5089584.81,      52.065500,       -2.017205,  104295.10,  224711.67,    4566.68,             4549.65,    27.44,  56634.51,           57523.59,      4.52,    -36.15,          33.44,  +0.37,  -1.39
  3,     UK002Z,       0,  0.121432, 2459439.579226132948, 318.99739,  -4.82378,              214.71805,  26.14665,       214.71734,       26.14653,    318.99739,      -4.82378,     318.99846,       -4.82412,  3908602.11,  -815350.70,  5087492.84,      52.058465,       -2.032719,  102262.59,  224859.38,    6997.16,             6980.14,    44.76,  60000.02,           57523.59,     -0.32,      2.53,           2.34,  +0.62,  -1.14
  4,     UK002Z,       0,  0.161912, 2459439.579226601403, 318.70287,  -5.34979,              214.82569,  25.55221,       214.84502,       25.55552,    318.70287,      -5.34979,     318.68822,       -5.34073,  3907797.16,  -816245.69,  5085457.59,      52.051615,       -2.047822,  100285.44,  225028.43,    9361.73,             9344.70,    -2.16,  58413.27,           57919.72,      8.64,    -69.16,          63.89,  +0.05,  -1.71
  5,     UK002Z,       0,  0.202436, 2459439.579227070790, 318.31771,  -5.83493,              215.04057,  24.96524,       214.97365,       24.95380,    318.31771,      -5.83493,     318.37191,       -5.86647,  3906976.42,  -817158.24,  5083382.42,      52.044625,       -2.063223,   98269.76,  225226.23,   11772.69,            11755.66,    -5.32,  59494.50,           58258.11,    -30.44,    240.78,         222.26,  +0.55,  -1.21

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.