Orbital Analysis for matched events on 20210813_011451.135_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.52° Bg 40.10° Vg 61.39km/s
mass 0.02388g, abs. mag -0.5
Path Details
------------
start 1.17° 54.39° 110.66km
end   1.06° 54.34° 98.20km

Orbit Details
-------------
Semimajor axis -4.46A.U., eccentricity 1.21, inclination 112.17°, Period 1000000000.00Y, LA Sun 140.24°, 

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: 2459439.551980734803
Time: 2021-08-13 01:14:51.140878 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK0026
 Convergence angle = 49.73013 deg
 R.A. =  46.24302  Dec = +59.39064 deg

Best intersection: Stations UK000Z and UK0026 with Qconv = 49.73 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3592679.55 +/- 93.28 m
 Y =  -1196597.64 +/- 146.10 m
 Z =   5251875.02 +/- 230.26 m
 Vx =    20458.34 +/- 1748.92 m/s
 Vy =    23374.63 +/- 1034.12 m/s
 Vz =    54102.68 +/- 1834.70 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.232427e+04, +3.071956e+03, +2.086285e+03, +1.289662e+05, -2.629373e+05, -5.827319e+05
+3.071956e+03, +2.229670e+02, +1.514256e+02, +9.360553e+03, -1.908437e+04, -4.229552e+04
+2.086285e+03, +1.514256e+02, +1.028390e+02, +6.357116e+03, -1.296093e+04, -2.872453e+04
+1.289662e+05, +9.360553e+03, +6.357116e+03, +3.929728e+05, -8.011958e+05, -1.775642e+06
-2.629373e+05, -1.908437e+04, -1.296093e+04, -8.011958e+05, +1.633484e+06, +3.620191e+06
-5.827319e+05, -4.229552e+04, -2.872453e+04, -1.775642e+06, +3.620191e+06, +8.023210e+06

Timing offsets (from input data):
    UK000Z: 0.000000 s
    UK0026: -0.000892 s

Reference point on the trajectory:
  Time: 2021-08-13 01:14:51.140878 UTC
  Lon     = ++1.164479 +/- 0.0019 deg
  Lat     = +54.386868 +/- 0.0019 deg
  Lat geo = +54.207602 +/- 0.0019 deg
  Ht      =  110585.50 +/- 139.54 m

  JD dynamic   = 2459439.552781538107 
  LST apparent = 341.5788630121 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.80638 +/- 1.9546 deg
  Dec       = +60.13766 +/- 0.6924 deg
  Azimuth   =  52.81348 +/- 1.7364 deg
  Elevation = +54.81081 +/- 0.7234 deg
  Vavg      =  61.25048 +/- 1.6619 km/s
  Vinit     =  62.38603 +/- 1.6669 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.00193 +/- 1.9546 deg
  Dec       = +59.93514 +/- 0.6924 deg
  Azimuth   =  53.07785 +/- 1.7364 deg
  Elevation = +54.64574 +/- 0.7234 deg
  Vavg      =  61.37773 +/- 1.6619 km/s
  Vinit     =  62.51329 +/- 1.6669 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.91926 +/- 1.9480 deg
  Dec    = +59.95255 +/- 0.6971 deg
  Vg     =  61.39132 +/- 1.6963 km/s
  Vinf   =  62.38603 +/- 1.6669 km/s
  Zc     =  35.29779 +/- 0.7274 deg
  Zg     =  35.59078 +/- 0.7245 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.52450 +/- 1.5092 deg
  Bg     = +40.09582 +/- 0.3793 deg
  Vh     =  44.16078 +/- 1.7213 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  85.23146 +/- 3.0517 deg
  Bh     = +63.55705 +/- 1.0319 deg
  Vh_x   =  -1.63477 +/- 0.9078 km/s
  Vh_y   = -19.59701 +/- 1.4397 km/s
  Vh_z   = -39.54060 +/- 1.2714 km/s
Orbit:
  La Sun = 140.238412 +/- 0.0000 deg
  a      =  -4.456351 +/- 434.8925 AU
  e      =   1.213843 +/- 0.1545
  i      = 112.167431 +/- 0.8420 deg
  peri   = 153.062344 +/- 2.1965 deg
  node   = 140.238145 +/- 0.0001 deg
  Pi     = 293.300489 +/- 2.1965 deg
  q      =   0.952961 +/- 0.0089 AU
  f      =  26.933899 +/- 2.1965 deg
  M      =        nan +/- nan deg
  Q      =  -9.865663 +/- 869.7890 AU
  n      =   0.104770 +/- 0.0675 deg/day
  T      = 1000000000.000000 +/- 339934603.7728 years
  Last perihelion JD = NaN 
  Tj     =  -1.648300 +/- 0.8632
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.001488e-02, -1.822998e-03, +4.373657e-01, -2.414219e-07, +1.518088e-03, +3.447343e-03
q   , -1.822998e-03, +5.537496e-05, -1.328532e-02, +7.333377e-09, -4.611309e-05, -1.047157e-04
Tp  , +4.373657e-01, -1.328532e-02, +3.187356e+00, -1.759392e-06, +1.106325e-02, +2.512293e-02
node, -2.414219e-07, +7.333377e-09, -1.759392e-06, +9.711684e-13, -6.106815e-09, -1.386763e-08
peri, +1.518088e-03, -4.611309e-05, +1.106325e-02, -6.106815e-09, +3.840034e-05, +8.720121e-05
i   , +3.447343e-03, -1.047157e-04, +2.512293e-02, -1.386763e-08, +8.720121e-05, +1.980204e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.959730
 a2 = 14.176603

Mean time residuals from time vs. length:
  Station with reference time: UK000Z
  Avg. res. = 4.383e-06 s
  Stddev    = 2.09e-03 s

Begin point on the trajectory:
  Lon =     1.165090 +/- 0.0020 deg
  Lat =    54.387139 +/- 0.0021 deg
  Ht  = 110657.44 +/- 161.13 m
End point on the trajectory:
  Lon =     1.058034 +/- 0.0016 deg
  Lat =    54.340085 +/- 0.0021 deg
  Ht  = 98196.26 +/- 161.36 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,   0.005795,  49.278250,   110373.88,   100618.15,          0.033865,    124.37,     95.03,              30.32, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20210813_011444_551_0442880.fits"}
    UK0026,   False,    -0.023645,    52.984073,    6.00,  21.511625,   7.157954,   110657.44,    98196.26,          0.013283,     45.17,     11.57,              30.37, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210813_011449_667_0454400.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,  0.000000, 2459439.551980734803,  85.67095,  41.25738,               51.49820,  23.27180,        51.42300,       23.27031,     85.67095,     +41.25738,      85.74391,      +41.29942,  3592594.63, -1196694.66,  5251650.45,      54.386072,       +1.162702,  110373.88,  267050.76,       0.00,              258.95,   439.00,      0.00,           60464.92,    195.74,   -255.71,         248.73,  +3.20,  +1.07
  1,     UK000Z,       0,  0.040140, 2459439.551981199533,  85.89109,  41.15142,               51.42951,  23.08559,        51.42542,       23.08552,     85.89109,     +41.15142,      85.89523,      +41.15371,  3592019.59, -1197351.67,  5250129.74,      54.380676,       +1.150352,  108940.86,  265516.11,    1753.54,             2012.49,  -311.64,  43685.50,           60464.92,     10.58,    -13.89,          13.56,  +4.22,  +2.10
  2,     UK000Z,       0,  0.080400, 2459439.551981665194,  86.11800,  40.90115,               51.45334,  22.78317,        51.43030,       22.78274,     86.11800,     +40.90115,      86.14071,      +40.91402,  3591093.10, -1198410.24,  5247679.60,      54.371975,       +1.130551,  106632.34,  263054.34,    4578.81,             4837.76,     1.97,  70175.60,           60464.92,     59.16,    -77.58,          76.50,  +1.69,  -0.41
  3,     UK000Z,       0,  0.120636, 2459439.551982130855,  86.34732,  40.67896,               51.45527,  22.50120,        51.43469,       22.50082,     86.34732,     +40.67896,      86.36782,      +40.69045,  3590245.51, -1199378.64,  5245438.14,      54.364006,       +1.112417,  104520.77,  260808.10,    7163.45,             7422.40,    76.44,  64236.99,           60464.92,     52.49,    -68.86,          68.48,  +1.30,  -0.78
  4,     UK000Z,       0,  0.160864, 2459439.551982596517,  86.62844,  40.48217,               51.40549,  22.21451,        51.43911,       22.21508,     86.62844,     +40.48217,      86.59646,      +40.46341,  3589401.06, -1200343.47,  5243204.97,      54.356060,       +1.094345,  102417.34,  258576.53,    9738.52,             9997.47,   141.85,  64012.05,           61875.37,    -84.99,    111.89,         112.08,  +1.05,  -1.01
  5,     UK000Z,       0,  0.201080, 2459439.551983062178,  86.81172,  40.27649,               51.42372,  21.96649,        51.44271,       21.96682,     86.81172,     +40.27649,      86.79410,      +40.26590,  3588678.66, -1201168.85,  5241294.54,      54.349255,       +1.078857,  100618.15,  256671.47,   11941.44,            12200.39,  -164.14,  54777.22,           61264.32,    -47.76,     62.83,          63.42,  +1.60,  -0.45
  6,     UK000Z,       1,  0.241260, 2459439.551983527374,  86.95830,  40.09928,               51.44600,  21.75789,        51.44547,       21.75788,     86.95830,     +40.09928,      86.95983,      +40.09958,  3588078.48, -1201854.58,  5239707.35,      54.343598,       +1.065959,   99123.54,  255091.07,   13771.64,            14030.59,  -840.62,  45549.90,           59364.35,      1.34,     -1.76,           1.79,  +5.63,  +3.60
  0,     UK0026,       0,  0.004473, 2459439.551980797201, 108.77892,  61.23275,               26.20730,  31.33246,        26.22093,       31.32527,    108.77892,     +61.23275,     108.76703,      +61.22032,  3592708.42, -1196564.66,  5251951.35,      54.387139,       +1.165090,  110657.44,  208143.21,       0.00,               88.02,   -10.96,      0.00,           64413.00,     12.33,     48.16,          49.27,  +4.33,  +2.74
  1,     UK0026,       0,  0.044761, 2459439.551981263794, 109.41928,  61.06257,               26.01466,  31.02056,        26.00251,       31.02696,    109.41928,     +61.06257,     109.43030,      +61.07361,  3591837.08, -1197560.20,  5249647.08,      54.378963,       +1.146462,  108486.07,  205804.32,    2657.07,             2569.04,   -43.35,  65951.82,           64413.00,    -10.85,    -42.53,          43.99,  +2.96,  +1.39
  2,     UK0026,       0,  0.085029, 2459439.551981729921, 110.03969,  60.91884,               25.81104,  30.73660,        25.79668,       30.74414,    110.03969,     +60.91884,     110.05306,      +60.93185,  3591029.70, -1198482.68,  5247511.93,      54.371379,       +1.129184,  106474.37,  203643.88,    5119.12,             5031.10,   -93.46,  61141.66,           64413.00,    -12.72,    -49.82,          52.08,  +1.83,  +0.29
  3,     UK0026,       0,  0.125325, 2459439.551982196048, 110.73565,  60.75847,               25.57822,  30.41951,        25.56685,       30.42548,    110.73565,     +60.75847,     110.74667,      +60.76873,  3590141.26, -1199497.76,  5245162.44,      54.363026,       +1.110184,  104261.07,  201275.12,    7828.33,             7740.31,   101.85,  67232.75,           64413.00,     -9.98,    -39.06,          41.31,  +1.58,  +0.06
  4,     UK0026,       0,  0.165589, 2459439.551982662175, 111.36573,  60.61293,               25.36417,  30.13285,        25.35892,       30.13561,    111.36573,     +60.61293,     111.37135,      +60.61766,  3589351.57, -1200400.02,  5243074.08,      54.355594,       +1.093272,  102294.06,  199176.56,   10236.43,            10148.40,    -1.97,  59807.69,           63665.40,     -4.58,    -17.89,          19.12,  +1.61,  +0.11
  5,     UK0026,       0,  0.205829, 2459439.551983127836, 111.95206,  60.49348,               25.15244,  29.88038,        25.17006,       29.87113,    111.95206,     +60.49348,     111.93618,      +60.47764,  3588645.82, -1201206.37,  5241207.71,      54.348946,       +1.078137,  100536.38,  197306.73,   12388.54,            12300.52,  -360.27,  53481.91,           61998.49,     15.30,     59.57,          64.30,  +1.82,  +0.34
  6,     UK0026,       0,  0.246165, 2459439.551983594894, 112.70853,  60.29530,               24.90141,  29.51791,        24.91568,       29.51043,    112.70853,     +60.29530,     112.69576,      +60.28253,  3587706.07, -1202280.08,  5238722.50,      54.340085,       +1.058034,   98196.26,  194827.49,   15254.25,            15166.23,   -10.96,  71046.06,           62373.77,     12.26,     47.74,          52.19,  +3.06,  +1.61

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.