Orbital Analysis for matched events on 20210813_013624.930_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.05° Bg 37.42° Vg 58.38km/s
mass 0.02607g, abs. mag -0.4
Path Details
------------
start -2.12° 53.98° 110.57km
end   -2.26° 53.93° 95.51km

Orbit Details
-------------
Semimajor axis 6.20A.U., eccentricity 0.85, inclination 114.03°, Period 15.46Y, LA Sun 140.25°, last Perihelion 2021-07-21

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: 2459439.566955216229
Time: 2021-08-13 01:36:24.930682 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK002Z
 Convergence angle = 29.67728 deg
 R.A. =  48.56146  Dec = +57.62908 deg

Best intersection: Stations UK000Y and UK002Z with Qconv = 29.68 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3670305.65 +/- 30.78 m
 Y =  -1073124.83 +/- 54.41 m
 Z =   5225049.05 +/- 144.52 m
 Vx =    21330.14 +/- 378.26 m/s
 Vy =    24050.75 +/- 701.84 m/s
 Vz =    49984.76 +/- 709.66 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.166134e+03, +1.443709e+02, +1.686521e+03, +5.936820e+02, -3.640711e+03, -3.503969e+03
+1.443709e+02, +2.229817e+03, -5.021053e+03, -9.259211e+01, +1.069171e+04, -2.216833e+04
+1.686521e+03, -5.021053e+03, +1.906227e+04, -4.930363e+02, -4.385963e+04, +5.960439e+04
+5.936820e+02, -9.259211e+01, -4.930363e+02, +7.032064e+03, +8.617060e+03, -2.491949e+03
-3.640711e+03, +1.069171e+04, -4.385963e+04, +8.617060e+03, +1.433943e+05, -1.741932e+05
-3.503969e+03, -2.216833e+04, +5.960439e+04, -2.491949e+03, -1.741932e+05, +3.326195e+05

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK002Z: 0.000790 s

Reference point on the trajectory:
  Time: 2021-08-13 01:36:24.930682 UTC
  Lon     = +-2.117811 +/- 0.0008 deg
  Lat     = +53.981448 +/- 0.0007 deg
  Lat geo = +53.801347 +/- 0.0007 deg
  Ht      =  110626.50 +/- 127.34 m

  JD dynamic   = 2459439.567755957134 
  LST apparent = 343.7021234020 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.43080 +/- 0.4201 deg
  Dec       = +57.25367 +/- 0.5669 deg
  Azimuth   =  57.81850 +/- 0.8082 deg
  Elevation = +54.69387 +/- 0.3995 deg
  Vavg      =  57.07759 +/- 0.3529 km/s
  Vinit     =  59.42971 +/- 0.4753 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.64132 +/- 0.4201 deg
  Dec       = +57.04950 +/- 0.5669 deg
  Azimuth   =  58.06455 +/- 0.8082 deg
  Elevation = +54.50836 +/- 0.3995 deg
  Vavg      =  57.21448 +/- 0.3529 km/s
  Vinit     =  59.56660 +/- 0.4753 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.56503 +/- 0.4237 deg
  Dec    = +57.04747 +/- 0.5743 deg
  Vg     =  58.38468 +/- 0.4837 km/s
  Vinf   =  59.42971 +/- 0.4753 km/s
  Zc     =  35.40234 +/- 0.3975 deg
  Zg     =  35.72675 +/- 0.4055 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.04724 +/- 0.1364 deg
  Bg     = +37.42235 +/- 0.6074 deg
  Vh     =  40.10149 +/- 0.6893 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.44484 +/- 0.2792 deg
  Bh     = +62.22127 +/- 0.5489 deg
  Vh_x   =  -2.45732 +/- 0.0894 km/s
  Vh_y   = -18.52738 +/- 0.1754 km/s
  Vh_z   = -35.47996 +/- 0.7742 km/s
Orbit:
  La Sun = 140.252790 +/- nan deg
  a      =   6.204588 +/- 32.5678 AU
  e      =   0.847671 +/- 0.0608
  i      = 114.026494 +/- 0.5063 deg
  peri   = 148.594857 +/- 1.4634 deg
  node   = 140.252451 +/- 0.0000 deg
  Pi     = 288.847307 +/- 1.4635 deg
  q      =   0.945137 +/- 0.0041 AU
  f      =  31.401365 +/- 1.4634 deg
  M      =   1.439617 +/- nan deg
  Q      =  11.464039 +/- 65.1356 AU
  n      =   0.063773 +/- 0.0205 deg/day
  T      =  15.455036 +/- 399999933.8300 years
  Last perihelion JD = 2459416.993557 (2021-07-21 11:50:43.300062) +/- 1.1044 days
  Tj     =   0.367068 +/- 0.3331
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.403226e-03, +1.838514e-04, +5.585160e-02, +2.454724e-08, +1.133397e-03, -3.435894e-04
q   , +1.838514e-04, +1.664813e-05, +4.678835e-03, +2.368417e-09, +9.770464e-05, -3.311294e-05
Tp  , +5.585160e-02, +4.678835e-03, +1.362315e+00, +6.455996e-07, +2.807558e-02, -9.030342e-03
node, +2.454724e-08, +2.368417e-09, +6.455996e-07, +4.088257e-13, +1.363062e-08, -5.713334e-09
peri, +1.133397e-03, +9.770464e-05, +2.807558e-02, +1.363062e-08, +5.814344e-04, -1.906256e-04
i   , -3.435894e-04, -3.311294e-05, -9.030342e-03, -5.713334e-09, -1.906256e-04, +7.984481e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.177022
 a2 = 25.556717

Mean time residuals from time vs. length:
  Station with reference time: UK000Y
  Avg. res. = 2.582e-06 s
  Stddev    = 1.61e-03 s

Begin point on the trajectory:
  Lon =    -2.118330 +/- 0.0007 deg
  Lat =    53.981256 +/- 0.0007 deg
  Ht  = 110568.75 +/- 131.71 m
End point on the trajectory:
  Lon =    -2.255150 +/- 0.0008 deg
  Lat =    53.930872 +/- 0.0006 deg
  Ht  = 95509.59 +/- 111.03 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
    UK000Y,   False,    -1.740490,    53.069201,  230.00,   0.296382,  23.674583,   110568.75,    95509.59,          0.035759,     28.02,     84.59,              43.25, 1.0000,    True,    True, {"ff_name": "FF_UK000Y_20210813_013622_054_0475392.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000255,  47.522796,   107534.56,    96189.76,          0.012342,      7.73,     34.43,              71.85, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_013616_415_0480512.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,     UK000Y,       0,  0.000000, 2459439.566955216229, 220.23667,  78.54121,              346.30863,  45.80337,       346.28555,       45.82401,    220.23667,     +78.54121,     220.36760,      +78.54408,  3670280.25, -1073153.47,  5224989.53,      53.981256,       -2.118330,  110568.75,  152631.77,       0.00,               70.76,   106.71,      0.00,           58526.18,    -66.17,    -21.90,          94.19,  +3.37,  +2.45
  1,     UK000Y,       0,  0.040340, 2459439.566955683287, 220.71089,  77.93135,              345.58806,  45.44653,       345.59040,       45.44446,    220.71089,     +77.93135,     220.69852,      +77.93108,  3669447.47, -1074092.47,  5223037.99,      53.974945,       -2.135506,  108675.32,  150976.53,    2320.29,             2391.06,    29.61,  57518.40,           58526.18,      6.59,      2.18,           9.49,  +2.14,  +1.25
  2,     UK000Y,       0,  0.080696, 2459439.566956150346, 221.04829,  77.32220,              344.89806,  45.07184,       344.90827,       45.06290,    221.04829,     +77.32220,     220.99657,      +77.32108,  3668637.00, -1075006.32,  5221138.75,      53.968798,       -2.152232,  106832.87,  149382.85,    4578.42,             4649.18,  -110.61,  55955.09,           58526.18,     28.43,      9.38,          41.33,  +1.39,  +0.52
  3,     UK000Y,       0,  0.121136, 2459439.566956618335, 221.17188,  76.61486,              344.16141,  44.59413,       344.13373,       44.61807,    221.17188,     +76.61486,     221.30575,      +76.61777,  3667723.32, -1076036.54,  5218997.64,      53.961861,       -2.171072,  104756.10,  147606.93,    7124.10,             7194.87,    31.74,  62949.75,           58526.18,    -75.84,    -25.09,         111.62,  +0.78,  -0.07
  4,     UK000Y,       0,  0.161524, 2459439.566957085859, 221.54942,  75.93738,              343.40222,  44.17861,       343.39655,       44.18347,    221.54942,     +75.93738,     221.57606,      +75.93794,  3666861.08, -1077008.75,  5216977.08,      53.955308,       -2.188866,  102796.55,  145952.20,    9526.46,             9597.22,    33.85,  59481.98,           59074.65,    -15.32,     -5.06,          22.80,  +0.36,  -0.46
  5,     UK000Y,       0,  0.201944, 2459439.566957553383, 221.71809,  75.24740,              342.68587,  43.71835,       342.66157,       43.73893,    221.71809,     +75.24740,     221.82481,      +75.24970,  3666007.91, -1077970.74,  5214977.78,      53.948817,       -2.206479,  100857.90,  144335.77,   11903.53,            11974.30,     8.77,  58809.32,           59193.34,    -64.71,    -21.39,          97.40,  +0.37,  -0.43
  6,     UK000Y,       0,  0.242332, 2459439.566958020907, 221.89856,  74.60524,              342.01954,  43.29291,       341.98642,       43.32069,    221.89856,     +74.60524,     222.03767,      +74.60824,  3665230.13, -1078847.72,  5213155.15,      53.942894,       -2.222555,   99090.78,  142881.07,   14070.56,            14141.33,  -224.44,  53655.30,           58642.37,    -87.08,    -28.81,         132.41,  +0.27,  -0.50
  7,     UK000Y,       0,  0.282796, 2459439.566958489362, 221.99555,  73.85837,              341.28237,  42.77505,       341.21538,       42.83062,    221.99555,     +73.85837,     222.26278,      +73.86418,  3664346.91, -1079843.59,  5211085.41,      53.936162,       -2.240794,   97084.38,  141251.14,   16531.39,            16602.15,  -168.38,  60815.19,           58594.22,   -173.58,    -57.57,         267.05,  +0.82,  +0.07
  8,     UK000Y,       0,  0.323136, 2459439.566958956420, 222.27094,  73.26365,              340.64662,  42.39998,       340.60521,       42.43407,    222.27094,     +73.26365,     222.43085,      +73.26709,  3663653.60, -1080625.33,  5209460.72,      53.930872,       -2.255150,   95509.59,  139989.40,   18463.08,            18533.84,  -634.09,  47885.12,           57858.92,   -106.20,    -35.14,         164.83,  +3.19,  +2.46
  0,     UK002Z,       0,  0.064402, 2459439.566955951042, 266.26506,  43.95659,              293.24807,  39.68815,       293.23649,       39.69311,    266.26506,     +43.95659,     266.27863,      +43.95307,  3668945.68, -1074658.27,  5221862.10,      53.971140,       -2.145854,  107534.56,  166351.19,       0.00,             3789.15,    -2.31,      0.00,           58980.79,    -28.90,      6.48,          36.73,  +2.82,  +1.71
  1,     UK002Z,       0,  0.105074, 2459439.566956421360, 265.89531,  43.20551,              292.74162,  38.99356,       292.73687,       38.99560,    265.89531,     +43.20551,     265.90119,      +43.20408,  3668087.45, -1075625.96,  5219850.94,      53.964627,       -2.163559,  105583.73,  165714.58,    2391.17,             6180.32,   -28.26,  58791.63,           58980.79,    -11.91,      2.67,          15.19,  +1.40,  +0.30
  2,     UK002Z,       0,  0.145766, 2459439.566956892610, 265.51618,  42.43112,              292.23551,  38.27195,       292.23155,       38.27364,    265.51618,     +42.43112,     265.52130,      +42.42992,  3667208.47, -1076617.05,  5217791.16,      53.957949,       -2.181694,  103586.01,  165095.90,    4840.17,             8629.32,     2.42,  60183.79,           58980.79,     -9.96,      2.23,          12.75,  +0.75,  -0.34
  3,     UK002Z,       0,  0.186434, 2459439.566957363393, 265.14906,  41.68715,              291.76713,  37.57105,       291.75439,       37.57646,    265.14906,     +41.68715,     265.16430,      +41.68333,  3666368.24, -1077564.45,  5215822.16,      53.951559,       -2.199042,  101676.63,  164536.90,    7181.22,            10970.37,   -73.42,  57564.86,           58980.79,    -32.09,      7.20,          41.23,  +0.53,  -0.55
  4,     UK002Z,       0,  0.227142, 2459439.566957834177, 264.77705,  40.89566,              291.27356,  36.82942,       291.25855,       36.83578,    264.77705,     +40.89566,     264.79499,      +40.89119,  3665483.92, -1078561.56,  5213749.86,      53.944827,       -2.217297,   99667.36,  163982.33,    9645.09,            13434.24,   -28.81,  60525.52,           59188.51,    -37.98,      8.51,          48.95,  +0.44,  -0.63
  5,     UK002Z,       0,  0.267822, 2459439.566958305426, 264.44100,  40.12416,              290.79084,  36.11540,       290.78758,       36.11678,    264.44100,     +40.12416,     264.44579,      +40.12319,  3664633.37, -1079520.60,  5211756.69,      53.938346,       -2.234866,   97735.09,  163482.68,   12014.88,            15804.03,   -76.62,  58254.46,           59114.41,     -8.28,      1.86,          10.70,  +0.55,  -0.52
  6,     UK002Z,       0,  0.308366, 2459439.566958774347, 264.19947,  39.49645,              290.38790,  35.54819,       290.41478,       35.53685,    264.19947,     +39.49645,     264.17053,      +39.50439,  3663953.06, -1080287.68,  5210162.48,      53.933157,       -2.248956,   96189.76,  163108.50,   13910.34,            17699.49,  -590.68,  46750.59,           57768.17,     68.43,    -15.39,          88.69,  +2.98,  +1.92

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.