Orbital Analysis for matched events on 20210810_033139.759_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 54.51° Bg 38.52° Vg 60.75km/s
mass 0.09432g, abs. mag -1.5
Path Details
------------
start -4.86° 49.59° 110.60km
end   -4.96° 49.56° 87.48km

Orbit Details
-------------
Semimajor axis -31.06A.U., eccentricity 1.03, inclination 115.17°, Period 1000000000.00Y, LA Sun 137.45°, 

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: 2459436.646987959277
Time: 2021-08-10 03:31:39.840872 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK0024
 Convergence angle = 3.78348 deg
 R.A. =  45.71368  Dec = +57.42301 deg

Best intersection: Stations UK0021 and UK0024 with Qconv = 3.78 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4185813.51 +/- 844.44 m
 Y =    507441.11 +/- 351.54 m
 Z =   4921975.32 +/- 53.55 m
 Vx =    27958.18 +/- 2807.89 m/s
 Vy =    20804.99 +/- 1628.20 m/s
 Vz =    50985.04 +/- 884.00 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.950764e+05, -7.905646e+04, +1.191541e+04, +7.247866e+05, -3.234917e+05, +3.710331e+04
-7.905646e+04, +3.205340e+04, -4.765923e+03, -2.947723e+05, +1.316365e+05, -1.495344e+04
+1.191541e+04, -4.765923e+03, +9.906273e+02, +3.990017e+04, -1.750903e+04, +2.613105e+03
+7.247866e+05, -2.947723e+05, +3.990017e+04, +2.765542e+06, -1.239316e+06, +1.320868e+05
-3.234917e+05, +1.316365e+05, -1.750903e+04, -1.239316e+06, +5.557038e+05, -5.855868e+04
+3.710331e+04, -1.495344e+04, +2.613105e+03, +1.320868e+05, -5.855868e+04, +7.514632e+03

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK0024: -0.001062 s

Reference point on the trajectory:
  Time: 2021-08-10 03:31:39.840872 UTC
  Lon     = +-4.841909 +/- 0.0061 deg
  Lat     = +49.601324 +/- 0.0051 deg
  Lat geo = +49.414656 +/- 0.0051 deg
  Ht      =  115247.58 +/- 553.34 m

  JD dynamic   = 2459436.647789639886 
  LST apparent = 6.9121683715 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  36.65466 +/- 4.9766 deg
  Dec       = +55.64624 +/- 0.7516 deg
  Azimuth   =  59.95534 +/- 1.6482 deg
  Elevation = +71.13100 +/- 2.6706 deg
  Vavg      =  60.47486 +/- 0.2968 km/s
  Vinit     =  61.75745 +/- 0.5428 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  37.09165 +/- 4.9766 deg
  Dec       = +55.52879 +/- 0.7516 deg
  Azimuth   =  60.39114 +/- 1.6482 deg
  Elevation = +70.89716 +/- 2.6706 deg
  Vavg      =  60.56164 +/- 0.2968 km/s
  Vinit     =  61.84423 +/- 0.5428 km/s
Radiant (geocentric, J2000):
  R.A.   =  36.54885 +/- 5.0212 deg
  Dec    = +55.56777 +/- 0.7500 deg
  Vg     =  60.75345 +/- 0.5522 km/s
  Vinf   =  61.75745 +/- 0.5428 km/s
  Zc     =  18.96312 +/- 2.6749 deg
  Zg     =  19.11996 +/- 2.7024 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  54.50772 +/- 3.5376 deg
  Bg     = +38.52192 +/- 0.2479 deg
  Vh     =  42.17595 +/- 0.1819 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  64.79725 +/- 8.0219 deg
  Bh     = +63.78911 +/- 1.3258 deg
  Vh_x   =  -7.93228 +/- 2.6908 km/s
  Vh_y   = -16.85485 +/- 1.1109 km/s
  Vh_z   = -37.83919 +/- 0.5273 km/s
Orbit:
  La Sun = 137.450159 +/- -0.0000 deg
  a      = -31.056687 +/- 286.9904 AU
  e      =   1.032084 +/- 0.0163
  i      = 115.169118 +/- 1.0475 deg
  peri   = 165.105634 +/- 7.7843 deg
  node   = 137.450402 +/- 0.0001 deg
  Pi     = 302.556036 +/- 7.7842 deg
  q      =   0.996427 +/- 0.0370 AU
  f      =  14.890853 +/- 7.7843 deg
  M      =        nan +/- nan deg
  Q      = -63.109802 +/- 573.9792 AU
  n      =   0.005695 +/- 0.0036 deg/day
  T      = 1000000000.000000 +/- 304537408.3648 years
  Last perihelion JD = NaN 
  Tj     =  -0.698128 +/- 0.1059
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.516011e-05, +1.063744e-04, +1.166038e-02, -3.109430e-09, +3.581134e-04, +4.784331e-05
q   , +1.063744e-04, +6.492052e-04, +7.115084e-02, -1.872162e-08, +2.188641e-03, +2.879674e-04
Tp  , +1.166038e-02, +7.115084e-02, +7.797909e+00, -2.051842e-06, +2.398680e-01, +3.156050e-02
node, -3.109430e-09, -1.872162e-08, -2.051842e-06, +5.401158e-13, -6.311276e-08, -8.307898e-09
peri, +3.581134e-04, +2.188641e-03, +2.398680e-01, -6.311276e-08, +7.378513e-03, +9.707707e-04
i   , +4.784331e-05, +2.879674e-04, +3.156050e-02, -8.307898e-09, +9.707707e-04, +1.277896e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 46.813434

Mean time residuals from time vs. length:
  Station with reference time: UK0021
  Avg. res. = 1.372e-06 s
  Stddev    = 1.17e-03 s

Begin point on the trajectory:
  Lon =    -4.860595 +/- 0.0047 deg
  Lat =    49.594297 +/- 0.0039 deg
  Ht  = 110602.31 +/- 408.39 m
End point on the trajectory:
  Lon =    -4.955651 +/- 0.0047 deg
  Lat =    49.559116 +/- 0.0037 deg
  Ht  = 87478.00 +/- 299.38 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,   0.000000,  47.429585,   110602.31,    87478.00,          0.008903,     29.27,      0.74,              76.24, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210810_033132_542_0641536.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.026471,  19.138626,   107245.80,    88616.59,          0.015867,     62.45,      2.61,              82.91, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210810_033137_541_0644608.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,       1,  0.000000, 2459436.646987959277, 337.89453,   2.96504,              218.50688,  35.87370,       218.50515,       35.87351,    337.89453,      +2.96504,     337.89575,       +2.96431,  4185807.67,   507436.77,  4921964.68,      49.601306,       -4.841619,  115235.39,  193394.01,       0.00,               12.89,    47.83,      0.00,           62427.60,      0.12,      4.77,           5.09,  +4.01,  +2.58
  1,     UK0021,       1,  0.040560, 2459436.646988428663, 337.56855,   2.40398,              218.60194,  35.22962,       218.61266,       35.23077,    337.56855,      +2.40398,     337.56112,       +2.40850,  4184762.64,   506659.11,  4920058.95,      49.598003,       -4.850572,  113051.09,  192639.15,    2308.38,             2321.27,  -148.67,  56912.81,           62427.60,     -0.76,    -29.70,          31.81,  +3.60,  +2.18
  2,     UK0021,       0,  0.081196, 2459436.646988898981, 337.19264,   1.77457,              218.71858,  34.50290,       218.73173,       34.50431,    337.19264,      +1.77457,     337.18358,       +1.78016,  4183591.04,   505787.27,  4917922.39,      49.594297,       -4.860595,  110602.31,  191821.70,    4896.37,             4909.26,   -70.26,  63687.01,           62427.60,     -0.94,    -36.57,          39.33,  +2.01,  +0.60
  3,     UK0021,       0,  0.121864, 2459436.646989369765, 336.79556,   1.11534,              218.84262,  33.74028,       218.85438,       33.74154,    336.79556,      +1.11534,     336.78760,       +1.12038,  4182371.40,   504879.68,  4915698.24,      49.590436,       -4.871029,  108053.24,  191004.12,    7590.44,             7603.33,   112.26,  66245.59,           62427.60,     -0.84,    -32.84,          35.48,  +1.17,  -0.24
  4,     UK0021,       0,  0.162460, 2459436.646989839617, 336.42914,   0.53043,              218.96648,  33.05788,       218.96287,       33.05750,    336.42914,      +0.53043,     336.43244,       +0.52888,  4181286.69,   504072.50,  4913720.14,      49.586998,       -4.880332,  105786.24,  190306.83,    9986.49,             9999.38,     1.20,  59021.73,           62170.88,      0.26,     10.12,          10.97,  +0.28,  -1.12
  5,     UK0021,       0,  0.203084, 2459436.646990309935, 336.05796,  -0.08658,              219.07850,  32.34403,       219.07419,       32.34356,    336.05796,      -0.08658,     336.06197,       -0.08846,  4180162.90,   503236.23,  4911670.78,      49.583433,       -4.889970,  103437.65,  189613.50,   12468.86,            12481.74,   -25.27,  61105.91,           61945.38,      0.31,     12.14,          13.21,  +0.03,  -1.36
  6,     UK0021,       0,  0.243716, 2459436.646990780253, 335.67221,  -0.70641,              219.20311,  31.62165,       219.18523,       31.61974,    335.67221,      -0.70641,     335.68641,       -0.71426,  4179031.82,   502394.54,  4909608.12,      49.579842,       -4.899674,  101073.92,  188946.09,   14967.32,            14980.21,   -36.13,  61490.00,           61816.04,      1.26,     50.59,          55.24,  -0.07,  -1.45
  7,     UK0021,       0,  0.284396, 2459436.646991251037, 335.28592,  -1.38685,              219.29790,  30.84345,       219.30213,       30.84390,    335.28592,      -1.38685,     335.28396,       -1.38498,  4177828.11,   501498.80,  4907413.01,      49.576016,       -4.909997,   98558.50,  188269.31,   17626.22,            17639.11,   110.48,  65361.50,           62058.05,     -0.30,    -12.01,          13.16,  -0.06,  -1.43
  8,     UK0021,       0,  0.325032, 2459436.646991721354, 334.90160,  -2.01449,              219.41337,  30.11434,       219.41058,       30.11404,    334.90160,      -2.01449,     334.90505,       -2.01574,  4176703.64,   500662.04,  4905362.41,      49.572439,       -4.919658,   96208.76,  187669.42,   20110.09,            20122.97,    84.76,  61124.64,           62108.70,      0.20,      7.97,           8.76,  -0.12,  -1.49
  9,     UK0021,       0,  0.365648, 2459436.646992191207, 334.53298,  -2.62433,              219.51858,  29.40779,       219.51418,       29.40732,    334.53298,      -2.62433,     334.53782,       -2.62630,  4175621.66,   499856.88,  4903389.29,      49.568993,       -4.928965,   93947.87,  187121.83,   22500.11,            22512.99,   -33.56,  58844.31,           61956.48,      0.31,     12.59,          13.88,  -0.21,  -1.57
 10,     UK0021,       0,  0.406292, 2459436.646992661525, 334.16310,  -3.26727,              219.60794,  28.67043,       219.62038,       28.67176,    334.16310,      -3.26727,     334.15535,       -3.26164,  4174502.08,   499023.75,  4901347.60,      49.565425,       -4.938594,   91608.51,  186585.61,   24973.17,            24986.06,   -70.56,  60846.92,           61823.01,     -0.90,    -35.77,          39.56,  -0.19,  -1.54
 11,     UK0021,       0,  0.446944, 2459436.646993132308, 333.77795,  -3.91322,              219.70989,  27.92413,       219.72650,       27.92590,    333.77795,      -3.91322,     333.76709,       -3.90564,  4173373.30,   498183.77,  4899289.14,      49.561823,       -4.948308,   89250.00,  186076.73,   27466.56,            27479.45,   -87.74,  61334.98,           61727.22,     -1.21,    -48.00,          53.23,  -0.06,  -1.41
 12,     UK0021,       0,  0.487432, 2459436.646993600763, 333.47504,  -4.39411,              219.80103,  27.36199,       219.80647,       27.36257,    333.47504,      -4.39411,     333.47289,       -4.39161,  4172525.21,   497552.67,  4897742.55,      49.559116,       -4.955651,   87478.00,  185717.20,   29339.92,            29352.80,  -714.82,  46269.46,           61161.73,     -0.39,    -15.78,          17.53,  +0.72,  -0.62
  0,     UK0024,       1,  0.094885, 2459436.646989160683, 330.51810,  -2.02903,              224.46339,  27.87197,       224.45421,       27.87118,    330.51810,      -2.02903,     330.52547,       -2.03333,  4183077.10,   505404.82,  4916985.16,      49.592671,       -4.865014,  109528.16,  227458.55,       0.00,             6044.50,   219.57,      0.00,           59384.73,     -1.35,     32.33,          29.35,  +4.54,  +2.76
  1,     UK0024,       0,  0.135381, 2459436.646989629604, 330.18165,  -2.52418,              224.55619,  27.27915,       224.52149,       27.27618,    330.18165,      -2.52418,     330.20861,       -2.54051,  4181985.07,   504592.19,  4914993.71,      49.589212,       -4.874375,  107245.80,  226998.42,    2412.22,             8456.72,   130.86,  59566.89,           59384.73,     -5.17,    122.64,         111.54,  +1.76,  -0.02
  2,     UK0024,       0,  0.175861, 2459436.646990098059, 329.88763,  -3.05399,              224.58798,  26.67406,       224.58881,       26.67413,    329.88763,      -3.05399,     329.88777,       -3.05360,  4180884.50,   503773.20,  4912986.69,      49.585723,       -4.883813,  104945.70,  226559.73,    4843.29,            10887.79,    61.99,  60056.06,           59384.73,      0.12,     -2.95,           2.68,  +0.59,  -1.19
  3,     UK0024,       0,  0.216337, 2459436.646990566514, 329.57170,  -3.55213,              224.65660,  26.08767,       224.65380,       26.08744,    329.57170,      -3.55213,     329.57478,       -3.55346,  4179816.08,   502978.15,  4911038.32,      49.582332,       -4.892985,  102712.86,  226158.32,    7203.33,            13247.83,   -77.66,  58307.21,           59384.73,     -0.41,      9.94,           9.07,  +0.27,  -1.50
  4,     UK0024,       0,  0.256849, 2459436.646991035435, 329.24252,  -4.09298,              224.71618,  25.45718,       224.72267,       25.45774,    329.24252,      -4.09298,     329.23862,       -4.08988,  4178673.36,   502127.80,  4908954.43,      49.578703,       -4.902789,  100324.83,  225755.06,    9727.51,            15772.02,   -55.40,  62307.02,           59884.24,      0.96,    -23.17,          21.18,  +0.18,  -1.59
  5,     UK0024,       0,  0.297373, 2459436.646991504356, 328.89977,  -4.64776,              224.78113,  24.80826,       224.79277,       24.80925,    328.89977,      -4.64776,     328.89201,       -4.64216,  4177500.66,   501255.13,  4906815.87,      49.574975,       -4.912852,   97874.23,  225369.73,   12317.92,            18362.43,    32.35,  63922.86,           60604.40,      1.73,    -41.68,          38.18,  +0.11,  -1.65
  6,     UK0024,       0,  0.337877, 2459436.646991973277, 328.57441,  -5.18001,              224.83885,  24.18727,       224.85924,       24.18902,    328.57441,      -5.18001,     328.55994,       -5.17014,  4176382.78,   500423.27,  4904777.28,      49.571417,       -4.922458,   95538.28,  225029.99,   14787.23,            20831.73,     0.24,  60964.49,           60900.07,      3.04,    -73.29,          67.23,  +0.05,  -1.71
  7,     UK0024,       0,  0.378369, 2459436.646992441732, 328.24393,  -5.68438,              224.91399,  23.58902,       224.92293,       23.58979,    328.24393,      -5.68438,     328.23853,       -5.68003,  4175305.95,   499621.94,  4902813.55,      49.567987,       -4.931722,   93288.17,  224728.23,   17165.87,            23210.38,  -121.80,  58743.55,           60843.54,      1.34,    -32.24,          29.62,  -0.03,  -1.79
  8,     UK0024,       0,  0.418897, 2459436.646992910653, 327.90553,  -6.25325,              224.96400,  22.92964,       224.99195,       22.93203,    327.90553,      -6.25325,     327.88526,       -6.23957,  4174127.01,   498744.64,  4900663.62,      49.564228,       -4.941855,   90824.82,  224425.65,   19770.05,            25814.55,   -20.53,  64256.21,           61044.85,      4.19,   -101.16,          93.06,  -0.09,  -1.85
  9,     UK0024,       0,  0.459381, 2459436.646993379574, 327.57196,  -6.74653,              225.04482,  22.34007,       225.05366,       22.34082,    327.57196,      -6.74653,     327.56691,       -6.74218,  4173070.14,   497958.18,  4898736.30,      49.560856,       -4.950961,   88616.59,  224180.63,   22104.59,            28149.09,  -186.18,  57665.79,           60963.08,      1.34,    -32.08,          29.54,  +0.19,  -1.56

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.