Orbital Analysis for matched events on 20210813_013034.879_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.06° Bg 38.88° Vg 57.79km/s
mass 0.00749g, abs. mag -0.3
Path Details
------------
start -0.61° 54.17° 110.86km
end   -0.72° 54.13° 97.35km

Orbit Details
-------------
Semimajor axis 6.24A.U., eccentricity 0.85, inclination 111.97°, Period 15.58Y, LA Sun 140.25°, 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: 2459439.562903697137
Time: 2021-08-13 01:30:34.879433 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK0026
 Convergence angle = 48.98792 deg
 R.A. =  46.42528  Dec = +57.90822 deg

Best intersection: Stations UK000Z and UK0026 with Qconv = 48.99 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3654592.54 +/- 71.63 m
 Y =  -1065122.27 +/- 39.23 m
 Z =   5237941.75 +/- 184.63 m
 Vx =    21401.29 +/- 870.16 m/s
 Vy =    22267.18 +/- 698.93 m/s
 Vz =    50086.82 +/- 1126.79 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.500545e+02, -9.628910e+00, -1.428461e+03, -8.577853e+01, +4.415633e+01, -1.826506e+03
-9.628910e+00, +2.648613e-01, +3.929251e+01, +2.359500e+00, -1.214603e+00, +5.024150e+01
-1.428461e+03, +3.929251e+01, +5.829091e+03, +3.500348e+02, -1.801879e+02, +7.453389e+03
-8.577853e+01, +2.359500e+00, +3.500348e+02, +2.101946e+01, -1.082022e+01, +4.475732e+02
+4.415633e+01, -1.214603e+00, -1.801879e+02, -1.082022e+01, +5.569937e+00, -2.303979e+02
-1.826506e+03, +5.024150e+01, +7.453389e+03, +4.475732e+02, -2.303979e+02, +9.530302e+03

Timing offsets (from input data):
    UK000Z: -0.000462 s
    UK0026: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 01:30:34.879433 UTC
  Lon     = +-0.606031 +/- 0.0008 deg
  Lat     = +54.172148 +/- 0.0014 deg
  Lat geo = +53.992442 +/- 0.0014 deg
  Ht      =  110906.01 +/- 117.33 m

  JD dynamic   = 2459439.563704438042 
  LST apparent = 343.7513628302 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.13596 +/- 0.3937 deg
  Dec       = +58.34135 +/- 0.7025 deg
  Azimuth   =  57.08893 +/- 1.2893 deg
  Elevation = +56.36027 +/- 0.1581 deg
  Vavg      =  56.04234 +/- 0.8297 km/s
  Vinit     =  58.84328 +/- 0.8930 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.37278 +/- 0.3937 deg
  Dec       = +58.13772 +/- 0.7025 deg
  Azimuth   =  57.35215 +/- 1.2893 deg
  Elevation = +56.17150 +/- 0.1581 deg
  Vavg      =  56.17194 +/- 0.8297 km/s
  Vinit     =  58.97289 +/- 0.8930 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.27858 +/- 0.3860 deg
  Dec    = +58.14820 +/- 0.7100 deg
  Vg     =  57.78769 +/- 0.9085 km/s
  Vinf   =  58.84328 +/- 0.8930 km/s
  Zc     =  33.73767 +/- 0.1563 deg
  Zg     =  34.05216 +/- 0.1610 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.06246 +/- 0.5288 deg
  Bg     = +38.87582 +/- 0.6147 deg
  Vh     =  40.11102 +/- 1.1220 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  81.55107 +/- 0.9850 deg
  Bh     = +64.72109 +/- 0.3094 deg
  Vh_x   =  -2.51664 +/- 0.2681 km/s
  Vh_y   = -16.94252 +/- 0.4990 km/s
  Vh_z   = -36.26998 +/- 1.0417 km/s
Orbit:
  La Sun = 140.248900 +/- -0.0000 deg
  a      =   6.237957 +/- 283.9085 AU
  e      =   0.846292 +/- 0.1016
  i      = 111.974370 +/- 0.4199 deg
  peri   = 151.987795 +/- 0.8689 deg
  node   = 140.248705 +/- 0.0000 deg
  Pi     = 292.236500 +/- 0.8689 deg
  q      =   0.958824 +/- 0.0012 AU
  f      =  28.008480 +/- 0.8689 deg
  M      =   1.289284 +/- nan deg
  Q      =  11.517090 +/- 567.8177 AU
  n      =   0.063262 +/- 0.0273 deg/day
  T      =  15.579882 +/- 339934629.2281 years
  Last perihelion JD = 2459419.183529 (2021-07-23 16:24:16.883977) +/- 0.1152 days
  Tj     =   0.397811 +/- 0.5577
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.235376e-05, +2.837262e-06, +1.386143e-03, +5.869498e-11, +2.473081e-05, -8.503142e-07
q   , +2.837262e-06, +1.112597e-07, +5.435586e-05, +2.301650e-12, +9.697877e-07, -3.334400e-08
Tp  , +1.386143e-03, +5.435586e-05, +2.655553e-02, +1.124470e-09, +4.737893e-04, -1.629020e-05
node, +5.869498e-11, +2.301650e-12, +1.124470e-09, +4.761467e-17, +2.006218e-11, -6.897937e-13
peri, +2.473081e-05, +9.697877e-07, +4.737893e-04, +2.006218e-11, +8.453092e-06, -2.906408e-07
i   , -8.503142e-07, -3.334400e-08, -1.629020e-05, -6.897937e-13, -2.906408e-07, +9.993042e-09

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.859960
 a2 = 22.998259

Mean time residuals from time vs. length:
  Station with reference time: UK0026
  Avg. res. = 1.585e-06 s
  Stddev    = 1.26e-03 s

Begin point on the trajectory:
  Lon =    -0.606389 +/- 0.0007 deg
  Lat =    54.172012 +/- 0.0014 deg
  Ht  = 110863.43 +/- 128.36 m
End point on the trajectory:
  Lon =    -0.721313 +/- 0.0004 deg
  Lat =    54.128722 +/- 0.0008 deg
  Ht  = 97354.89 +/- 62.06 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   0.176877,  29.148989,   105359.16,    98076.82,          0.028779,     84.98,     21.23,              23.98, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20210813_013027_799_0466432.fits"}
    UK0026,   False,    -0.023645,    52.984073,    6.00,   1.865439,  20.163016,   110863.43,    97354.89,          0.009748,     13.18,     26.39,              48.54, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210813_013032_450_0477952.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,     UK000Z,       0,  0.104243, 2459439.562904909253,  99.37179,  62.78693,               30.29608,  35.95771,        30.35045,       35.92819,     99.37179,     +62.78693,      99.34298,      +62.73565,  3652168.96, -1067643.91,  5232269.69,      54.154412,       -0.653134,  105359.16,  176477.34,       0.00,             6663.68,   306.14,      0.00,           55671.07,     39.63,    158.37,         190.81,  +4.28,  +3.05
  1,     UK000Z,       0,  0.144395, 2459439.562905373983,  99.93248,  62.67147,               30.15207,  35.70139,        30.15694,       35.69876,     99.93248,     +62.67147,      99.93037,      +62.66688,  3651461.65, -1068379.84,  5230614.32,      54.149227,       -0.666928,  103740.70,  174723.25,    1944.77,             8608.45,  -111.77,  48435.17,           55671.07,      3.50,     14.08,          17.13,  +1.70,  +0.49
  2,     UK000Z,       0,  0.184551, 2459439.562905838713, 100.69092,  62.57570,               29.90473,  35.40089,        29.90773,       35.39927,    100.69092,     +62.57570,     100.68995,      +62.57288,  3650561.50, -1069316.41,  5228507.65,      54.142622,       -0.684443,  101681.25,  172498.28,    4419.74,            11083.42,     0.29,  61633.92,           55671.07,      2.13,      8.56,          10.55,  +1.21,  +0.03
  3,     UK000Z,       0,  0.224671, 2459439.562906302977, 101.39586,  62.51094,               29.65258,  35.14116,        29.68143,       35.12558,    101.39586,     +62.51094,     101.37944,      +62.48383,  3649759.61, -1070150.74,  5226630.94,      54.136732,       -0.700068,   99846.83,  170521.61,    6624.55,            13288.23,  -155.69,  54955.36,           55671.07,     20.38,     81.65,         101.80,  +1.15,  -0.01
  4,     UK000Z,       0,  0.264847, 2459439.562906768173, 102.04081,  62.37131,               29.48219,  34.84275,        29.45938,       34.85502,    102.04081,     +62.37131,     102.05615,      +62.39271,  3648985.79, -1070955.87,  5224819.92,      54.131044,       -0.715156,   98076.82,  168619.46,    8752.18,            15415.86,  -392.15,  52957.73,           55255.27,    -15.84,    -63.95,          80.59,  +2.61,  +1.48
  0,     UK0026,       0,  0.000000, 2459439.562903697137, 207.24322,  71.33176,              343.95087,  37.97490,       343.95977,       37.96807,    207.24322,     +71.33176,     207.21339,      +71.32958,  3654573.93, -1065141.63,  5237898.21,      54.172012,       -0.606389,  110863.43,  177732.76,       0.00,               51.15,  -172.38,      0.00,           60251.05,     27.19,     13.57,          35.26,  +3.68,  +2.43
  1,     UK0026,       0,  0.040284, 2459439.562904163264, 207.64196,  70.71175,              343.40287,  37.51289,       343.40112,       37.51422,    207.64196,     +70.71175,     207.64782,      +70.71216,  3653649.21, -1066103.76,  5235734.03,      54.165250,       -0.624358,  108746.79,  176099.79,    2542.53,             2593.68,    -0.29,  63115.25,           60251.05,     -5.30,     -2.64,           6.93,  +3.06,  +1.83
  2,     UK0026,       0,  0.080528, 2459439.562904629391, 207.94089,  70.18874,              342.95309,  37.11844,       342.93653,       37.13101,    207.94089,     +70.18874,     207.99380,      +70.19258,  3652885.72, -1066898.14,  5233947.18,      54.159662,       -0.639228,  106999.41,  174768.48,    4641.77,             4692.92,  -269.14,  52162.79,           60251.05,    -49.74,    -24.85,          65.62,  +2.24,  +1.03
  3,     UK0026,       0,  0.120828, 2459439.562905095518, 208.40682,  69.49920,              342.33260,  36.61366,       342.32656,       36.61821,    208.40682,     +69.49920,     208.42593,      +69.50055,  3651886.77, -1067937.52,  5231609.26,      54.152344,       -0.658637,  104713.44,  173048.93,    7388.42,             7439.57,   106.12,  68154.88,           60251.05,    -17.99,     -8.98,          23.96,  +1.90,  +0.71
  4,     UK0026,       0,  0.161080, 2459439.562905561645, 208.80342,  68.90869,              341.80036,  36.18355,       341.80984,       36.17643,    208.80342,     +68.90869,     208.77563,      +68.90662,  3651046.53, -1068811.75,  5229642.80,      54.146182,       -0.674995,  102790.92,  171623.84,    9698.67,             9749.82,    47.81,  57394.74,           60201.46,     28.02,     13.97,          37.62,  +0.81,  -0.36
  5,     UK0026,       0,  0.201348, 2459439.562906027772, 209.12826,  68.31302,              341.29101,  35.73758,       341.29842,       35.73205,    209.12826,     +68.31302,     209.10741,      +68.31144,  3650219.20, -1069672.55,  5227706.55,      54.140109,       -0.691109,  100898.17,  170239.81,   11973.43,            12024.58,   -46.93,  56490.52,           59657.19,     21.73,     10.84,          29.42,  +0.65,  -0.51
  6,     UK0026,       0,  0.241596, 2459439.562906493433, 209.42568,  67.76112,              340.82007,  35.32517,       340.82927,       35.31833,    209.42568,     +67.76112,     209.40032,      +67.75921,  3649464.39, -1070457.90,  5225940.01,      54.134563,       -0.705828,   99171.52,  168994.29,   14048.80,            14099.95,  -339.89,  51564.51,           58596.23,     26.82,     13.37,          36.58,  +1.00,  -0.14
  7,     UK0026,       0,  0.281868, 2459439.562906959560, 209.70225,  67.16931,              340.33170,  34.87591,       340.33366,       34.87446,    209.70225,     +67.16931,     209.69796,      +67.16891,  3648670.15, -1071284.28,  5224081.20,      54.128722,       -0.721313,   97354.89,  167701.42,   16232.57,            16283.72,  -525.85,  54225.66,           57789.80,      5.65,      2.82,           7.77,  +2.42,  +1.30

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.