Orbital Analysis for matched events on 20210810_213112.664_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.26° Bg 45.35° Vg 56.92km/s
mass 0.01723g, abs. mag 0.2
Path Details
------------
start -5.08° 50.22° 111.05km
end   -5.22° 50.03° 95.71km

Orbit Details
-------------
Semimajor axis -15.36A.U., eccentricity 1.06, inclination 103.30°, Period 1000000000.00Y, LA Sun 138.17°, 

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: 2459437.396674356423
Time: 2021-08-10 21:31:12.664395 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK0024
 Convergence angle = 4.00264 deg
 R.A. =  40.37344  Dec = +61.75302 deg

Best intersection: Stations UK0021 and UK0024 with Qconv = 4.00 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    528767.13 +/- 527.15 m
 Y =  -4126543.69 +/- 678.38 m
 Z =   4963766.35 +/- 283.10 m
 Vx =    19342.38 +/- 1797.73 m/s
 Vy =    15921.79 +/- 2205.86 m/s
 Vz =    52301.92 +/- 2381.93 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.451053e+05, +1.878924e+05, -7.402347e+04, +3.238288e+05, +4.185374e+05, -1.327278e+05
+1.878924e+05, +2.441227e+05, -9.636041e+04, +4.091717e+05, +5.333899e+05, -1.707397e+05
-7.402347e+04, -9.636041e+04, +3.982467e+04, -1.466559e+05, -1.927578e+05, +6.635120e+04
+3.238288e+05, +4.091717e+05, -1.466559e+05, +1.492885e+06, +1.822679e+06, -4.143294e+05
+4.185374e+05, +5.333899e+05, -1.927578e+05, +1.822679e+06, +2.253552e+06, -5.219250e+05
-1.327278e+05, -1.707397e+05, +6.635120e+04, -4.143294e+05, -5.219250e+05, +1.462349e+05

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK0024: 0.000022 s

Reference point on the trajectory:
  Time: 2021-08-10 21:31:12.664395 UTC
  Lon     = +-5.077773 +/- 0.0084 deg
  Lat     = +50.218711 +/- 0.0025 deg
  Lat geo = +50.032604 +/- 0.0025 deg
  Ht      =  111041.77 +/- 603.49 m

  JD dynamic   = 2459437.397475097328 
  LST apparent = 277.3019765706 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  39.45969 +/- 0.9320 deg
  Dec       = +64.40563 +/- 2.6860 deg
  Azimuth   =  25.88218 +/- 1.4215 deg
  Elevation = +33.09034 +/- 2.4221 deg
  Vavg      =  58.18293 +/- 1.0469 km/s
  Vinit     =  57.99243 +/- 1.0982 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  39.09415 +/- 0.9320 deg
  Dec       = +64.17676 +/- 2.6860 deg
  Azimuth   =  26.20317 +/- 1.4215 deg
  Elevation = +33.01863 +/- 2.4221 deg
  Vavg      =  58.29457 +/- 1.0469 km/s
  Vinit     =  58.10407 +/- 1.0982 km/s
Radiant (geocentric, J2000):
  R.A.   =  39.88178 +/- 0.8740 deg
  Dec    = +63.86859 +/- 2.6990 deg
  Vg     =  56.92133 +/- 1.1174 km/s
  Vinf   =  57.99243 +/- 1.0982 km/s
  Zc     =  57.07714 +/- 2.4199 deg
  Zg     =  57.65800 +/- 2.4266 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.25621 +/- 0.8482 deg
  Bg     = +45.34771 +/- 2.6591 deg
  Vh     =  42.52304 +/- 0.3691 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  90.65051 +/- 5.1507 deg
  Bh     = +72.22842 +/- 3.5816 deg
  Vh_x   =   0.14736 +/- 1.8850 km/s
  Vh_y   = -12.97817 +/- 1.9207 km/s
  Vh_z   = -40.49388 +/- 1.3852 km/s
Orbit:
  La Sun = 138.169500 +/- nan deg
  a      = -15.361963 +/- 537.4392 AU
  e      =   1.063262 +/- 0.0337
  i      = 103.299317 +/- 4.2197 deg
  peri   = 156.928899 +/- 0.4175 deg
  node   = 138.168207 +/- 0.0003 deg
  Pi     = 295.097106 +/- 0.4176 deg
  q      =   0.971831 +/- 0.0011 AU
  f      =  23.067133 +/- 0.4174 deg
  M      =        nan +/- nan deg
  Q      = -31.695757 +/- 1074.8784 AU
  n      =   0.016369 +/- 0.0056 deg/day
  T      = 1000000000.000000 +/- 446943826.1794 years
  Last perihelion JD = NaN 
  Tj     =  -0.624353 +/- 0.1178
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.280985e-04, +6.119976e-06, +4.995501e-03, +4.936727e-08, +7.848337e-05, -6.174562e-04
q   , +6.119976e-06, +1.334777e-06, +3.013048e-04, -1.136331e-09, +7.208175e-06, +1.445767e-05
Tp  , +4.995501e-03, +3.013048e-04, +1.006815e-01, +2.362283e-07, +2.037838e-03, -2.909631e-03
node, +4.936727e-08, -1.136331e-09, +2.362283e-07, +1.492812e-11, +6.632037e-11, -1.844636e-07
peri, +7.848337e-05, +7.208175e-06, +2.037838e-03, +6.632037e-11, +4.409001e-05, +3.683511e-07
i   , -6.174562e-04, +1.445767e-05, -2.909631e-03, -1.844636e-07, +3.683511e-07, +2.281013e-03

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: UK0021
  Avg. res. = 1.998e-06 s
  Stddev    = 1.41e-03 s

Begin point on the trajectory:
  Lon =    -5.077653 +/- 0.0084 deg
  Lat =    50.218870 +/- 0.0025 deg
  Ht  = 111054.77 +/- 604.05 m
End point on the trajectory:
  Lon =    -5.221480 +/- 0.0078 deg
  Lat =    50.030571 +/- 0.0033 deg
  Ht  = 95705.38 +/- 377.45 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   3.322084,   0.000000,   111054.77,    96776.63,          0.015051,      6.80,     43.79,             101.88, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210810_213111_545_0105216.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   108382.46,    95705.38,          0.019950,      6.07,     71.34,             109.41, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210810_213107_781_0108032.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,     UK0021,       0,  0.000000, 2459437.396674356423, 233.01064,  18.15511,              245.22463,  41.32666,       245.21946,       41.32903,    233.01064,     +18.15511,     233.01541,      +18.15465,   528775.07, -4126537.15,  4963787.82,      50.218870,       -5.077653,  111054.77,  166325.89,       0.00,               23.81,  -291.23,      0.00,           60902.97,    -13.05,      2.03,          16.38,  +3.10,  +2.00
  1,     UK0021,       0,  0.040732, 2459437.396674827673, 232.91754,  17.25896,              244.60383,  40.55785,       244.60527,       40.55719,    232.91754,     +17.25896,     232.91637,      +17.25909,   527896.46, -4127260.39,  4961412.05,      50.201320,       -5.091089,  109616.92,  166665.63,    2634.26,             2610.45,   -66.73,  64672.96,           60902.97,      3.68,     -0.57,           4.61,  +1.73,  +0.62
  2,     UK0021,       0,  0.081420, 2459437.396675298922, 232.82400,  16.42110,              244.04357,  39.83198,       244.04350,       39.83201,    232.82400,     +16.42110,     232.82440,      +16.42109,   527070.98, -4127939.89,  4959179.93,      50.184823,       -5.103720,  108266.69,  167022.68,    5109.23,             5085.42,    48.64,  60828.07,           60902.97,     -0.17,      0.03,           0.21,  +1.14,  +0.03
  3,     UK0021,       0,  0.122060, 2459437.396675769240, 232.74235,  15.63666,              243.52450,  39.15298,       243.52876,       39.15105,    232.74235,     +15.63666,     232.73890,      +15.63705,   526295.35, -4128578.35,  4957082.64,      50.169314,       -5.115595,  106998.59,  167391.42,    7434.72,             7410.91,    17.32,  57221.61,           60902.97,     11.05,     -1.72,          13.78,  +0.94,  -0.18
  4,     UK0021,       0,  0.162704, 2459437.396676239558, 232.62416,  14.87356,              243.06854,  38.46807,       243.03517,       38.48317,    232.62416,     +14.87356,     232.65590,      +14.87055,   525533.67, -4129205.33,  4955023.04,      50.154078,       -5.127256,  105753.85,  167784.37,    9718.40,             9694.59,   -56.05,  56187.38,           59590.49,    -87.32,     13.55,         108.63,  +0.64,  -0.48
  5,     UK0021,       0,  0.203384, 2459437.396676710341, 232.54896,  14.03924,              242.52684,  37.74715,       242.50882,       37.75527,    232.54896,     +14.03924,     232.56663,      +14.03760,   524701.70, -4129890.18,  4952773.39,      50.137427,       -5.139974,  104394.87,  168247.33,   12212.82,            12189.01,    79.24,  61318.08,           59461.97,    -47.58,      7.39,          59.03,  +0.45,  -0.68
  6,     UK0021,       0,  0.243996, 2459437.396677180659, 232.45379,  13.30398,              242.08747,  37.09340,       242.05212,       37.10929,    232.45379,     +13.30398,     232.48790,      +13.30077,   523961.85, -4130499.19,  4950772.83,      50.122613,       -5.151300,  103186.91,  168689.96,   14431.04,            14407.23,   -57.73,  54619.78,           58898.07,    -94.15,     14.60,         116.50,  +0.42,  -0.72
  7,     UK0021,       0,  0.284664, 2459437.396677650977, 232.39274,  12.48438,              241.56240,  36.38752,       241.55438,       36.39112,    232.39274,     +12.48438,     232.40147,      +12.48364,   523136.62, -4131178.48,  4948541.40,      50.106082,       -5.163911,  101840.17,  169215.78,   16905.25,            16881.44,    58.05,  60839.34,           58824.76,    -21.58,      3.35,          26.62,  +0.34,  -0.80
  8,     UK0021,       0,  0.325312, 2459437.396678121760, 232.32213,  11.69846,              241.08019,  35.70165,       241.08507,       35.69947,    232.32213,     +11.69846,     232.31888,      +11.69891,   522339.12, -4131834.94,  4946384.97,      50.090098,       -5.176100,  100539.31,  169757.06,   19296.30,            19272.49,    91.82,  58823.26,           58790.44,     13.27,     -2.06,          16.31,  +0.24,  -0.91
  9,     UK0021,       0,  0.365952, 2459437.396678592078, 232.22718,  10.92960,              240.64245,  35.01436,       240.63235,       35.01886,    232.22718,     +10.92960,     232.23825,      +10.92867,   521551.28, -4132483.46,  4944254.63,      50.074300,       -5.188140,   99254.78,  170323.27,   21658.42,            21634.61,    97.13,  58123.16,           58736.58,    -27.65,      4.29,          33.89,  +0.35,  -0.81
 10,     UK0021,       0,  0.406580, 2459437.396679062396, 232.15660,  10.16728,              240.19285,  34.34410,       240.19218,       34.34440,    232.15660,     +10.16728,     232.15893,      +10.16722,   520767.11, -4133128.95,  4942134.24,      50.058569,       -5.200122,   97976.84,  170917.55,   24009.52,            23985.71,    92.11,  57868.82,           58667.79,     -1.84,      0.29,           2.25,  +0.48,  -0.68
 11,     UK0021,       0,  0.447164, 2459437.396679531783, 232.10043,   9.45499,              239.76987,  33.72156,       239.78795,       33.71354,    232.10043,      +9.45499,     232.08510,       +9.45666,   520030.32, -4133735.44,  4940141.97,      50.043781,       -5.211387,   96776.63,  171504.02,   26218.55,            26194.74,   -52.43,  54431.06,           58465.47,     50.41,     -7.85,          61.36,  +0.68,  -0.49
  0,     UK0024,       0,  0.078835, 2459437.396675384138, 228.23259,   9.70646,              244.11164,  31.36830,       244.09803,       31.37535,    228.23259,      +9.70646,     228.24672,       +9.70553,   527141.77, -4127881.61,  4959371.37,      50.186238,       -5.102682,  108382.46,  203552.38,       0.00,             4873.16,   -13.71,      0.00,           57793.27,    -48.12,      4.11,          48.94,  +4.18,  +2.64
  1,     UK0024,       0,  0.119223, 2459437.396675851196, 228.16193,   9.06515,              243.74807,  30.80333,       243.71109,       30.82245,    228.16193,      +9.06515,     228.19993,       +9.06263,   526346.99, -4128535.84,  4957222.27,      50.170347,       -5.114845,  107083.00,  204214.87,    2382.92,             7256.08,    27.01,  59000.73,           57793.27,   -131.66,     11.18,         133.46,  +4.08,  +2.53
  2,     UK0024,       0,  0.159595, 2459437.396676318720, 228.10885,   8.43797,              243.38180,  30.25874,       243.33764,       30.28153,    228.10885,      +8.43797,     228.15437,       +8.43495,   525565.95, -4129178.76,  4955110.32,      50.154724,       -5.126797,  105806.59,  204891.07,    4724.65,             9597.81,    27.46,  58003.72,           57793.27,   -158.32,     13.42,         159.95,  +2.94,  +1.38
  3,     UK0024,       0,  0.199919, 2459437.396676785313, 228.10302,   7.83086,              242.98846,  29.75615,       242.98189,       29.75953,    228.10302,      +7.83086,     228.11057,       +7.83041,   524808.72, -4129802.08,  4953062.77,      50.139569,       -5.138387,  104569.64,  205570.36,    6994.98,            11868.14,   -40.69,  56302.25,           57793.27,    -23.70,      2.03,          23.87,  +2.35,  +0.79
  4,     UK0024,       0,  0.240295, 2459437.396677252837, 228.06077,   7.17279,              242.60027,  29.18993,       242.59886,       29.19066,    228.06077,      +7.17279,     228.06326,       +7.17269,   523979.03, -4130485.04,  4950819.29,      50.122957,       -5.151067,  103214.96,  206340.01,    9482.56,            14355.72,   105.38,  61610.26,           58414.95,     -5.15,      0.44,           5.16,  +1.96,  +0.39
  5,     UK0024,       0,  0.280635, 2459437.396677719429, 228.01070,   6.58701,              242.27008,  28.67797,       242.26119,       28.68253,    228.01070,      +6.58701,     228.02099,       +6.58640,   523234.13, -4131098.21,  4948805.09,      50.108036,       -5.162465,  101999.28,  207055.03,   11715.90,            16589.06,    -0.69,  55363.08,           58156.84,    -32.53,      2.78,          32.52,  +1.78,  +0.20
  6,     UK0024,       0,  0.320983, 2459437.396678186487, 227.98238,   5.96747,              241.90146,  28.14929,       241.90842,       28.14572,    227.98238,      +5.96747,     227.97664,       +5.96795,   522442.66, -4131749.71,  4946664.95,      50.092174,       -5.174563,  100708.17,  207837.89,   14088.89,            18962.05,    32.42,  58813.05,           58134.92,     25.68,     -2.20,          25.58,  +1.62,  +0.03
  7,     UK0024,       0,  0.361347, 2459437.396678653546, 227.93679,   5.33410,              241.54394,  27.59852,       241.55072,       27.59505,    227.93679,      +5.33410,     227.93139,       +5.33457,   521625.75, -4132422.16,  4944456.01,      50.075794,       -5.187040,   99376.18,  208670.95,   16538.17,            21411.33,   140.89,  60679.68,           58337.89,     25.17,     -2.15,          24.97,  +1.31,  -0.29
  8,     UK0024,       0,  0.401671, 2459437.396679120604, 227.89017,   4.77302,              241.23610,  27.10638,       241.23684,       27.10601,    227.89017,      +4.77302,     227.89113,       +4.77307,   520896.02, -4133022.84,  4942482.81,      50.061155,       -5.198201,   98186.87,  209437.58,   18726.05,            23599.21,    -9.71,  54257.65,           58160.82,      2.76,     -0.24,           2.72,  +1.77,  +0.16
  9,     UK0024,       0,  0.442015, 2459437.396679587197, 227.84872,   4.16766,              240.89884,  26.57948,       240.90139,       26.57819,    227.84872,      +4.16766,     227.84799,       +4.16784,   520103.30, -4133675.37,  4940339.30,      50.045246,       -5.210308,   96895.49,  210292.32,   21102.78,            25975.95,    27.38,  58911.65,           58111.61,      9.57,     -0.82,           9.42,  +2.11,  +0.50
 10,     UK0024,       0,  0.482315, 2459437.396680053789, 227.83109,   3.61253,              240.57344,  26.10679,       240.59739,       26.09460,    227.83109,      +3.61253,     227.80843,       +3.61420,   519372.43, -4134276.99,  4938363.03,      50.030571,       -5.221480,   95705.38,  211101.80,   23294.07,            28167.23,  -118.43,  54374.43,           57915.13,     90.75,     -7.78,          88.99,  +4.82,  +3.20

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.