Orbital Analysis for matched events on 20210813_234138.754_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.64° Bg 38.75° Vg 60.84km/s
mass 0.05264g, abs. mag -1.1
Path Details
------------
start 2.05° 52.32° 107.20km
end   1.94° 52.25° 97.36km

Orbit Details
-------------
Semimajor axis -10.61A.U., eccentricity 1.09, inclination 113.96°, Period 1000000000.00Y, LA Sun 141.14°, 

Full details below
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Input measurement type: Right Ascension for meas1, Declination for meas2, epoch of date

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459440.487254102249
Time: 2021-08-13 23:41:38.754434 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 39.59035 deg
 R.A. =  48.47078  Dec = +58.56924 deg

Best intersection: Stations UK002F and UK002K with Qconv = 39.59 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3047138.10 +/- 96.60 m
 Y =  -2548907.92 +/- 63.84 m
 Z =   5109326.68 +/- 53.51 m
 Vx =    21331.63 +/- 814.57 m/s
 Vy =    23961.87 +/- 631.52 m/s
 Vz =    52867.13 +/- 1114.73 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.021498e+04, +6.405970e+03, +4.324769e+03, +3.169376e+04, +8.262983e+03, -1.969868e+03
+6.405970e+03, +4.778503e+03, +3.643797e+03, +1.867842e+04, +7.050746e+03, -2.183680e+03
+4.324769e+03, +3.643797e+03, +3.036836e+03, +1.182416e+04, +5.232702e+03, -1.741566e+03
+3.169376e+04, +1.867842e+04, +1.182416e+04, +1.004718e+05, +2.378536e+04, -5.118028e+03
+8.262983e+03, +7.050746e+03, +5.232702e+03, +2.378536e+04, +1.593758e+04, -6.057059e+03
-1.969868e+03, -2.183680e+03, -1.741566e+03, -5.118028e+03, -6.057059e+03, +2.538690e+03

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK002K: -1.919287 s

Reference point on the trajectory:
  Time: 2021-08-13 23:41:38.754434 UTC
  Lon     = ++2.053166 +/- 0.0016 deg
  Lat     = +52.317117 +/- 0.0002 deg
  Lat geo = +52.133866 +/- 0.0002 deg
  Ht      =  107202.99 +/- 62.56 m

  JD dynamic   = 2459440.488054843154 
  LST apparent = 320.0877736849 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.32350 +/- 0.4293 deg
  Dec       = +58.74942 +/- 0.5376 deg
  Azimuth   =  45.47796 +/- 0.7617 deg
  Elevation = +43.34124 +/- 0.1783 deg
  Vavg      =  58.01963 +/- 0.5122 km/s
  Vinit     =  61.83966 +/- 0.9540 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.33928 +/- 0.4293 deg
  Dec       = +58.52062 +/- 0.5376 deg
  Azimuth   =  45.73555 +/- 0.7617 deg
  Elevation = +43.20992 +/- 0.1783 deg
  Vavg      =  58.17034 +/- 0.5122 km/s
  Vinit     =  61.99037 +/- 0.9540 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.55314 +/- 0.4388 deg
  Dec    = +58.44942 +/- 0.5389 deg
  Vg     =  60.83560 +/- 0.9701 km/s
  Vinf   =  61.83966 +/- 0.9540 km/s
  Zc     =  46.78740 +/- 0.1770 deg
  Zg     =  47.19314 +/- 0.1779 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.63543 +/- 0.4849 deg
  Bg     = +38.74568 +/- 0.4473 deg
  Vh     =  42.83723 +/- 0.8535 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  81.59428 +/- 1.6908 deg
  Bh     = +62.72690 +/- 0.6965 deg
  Vh_x   =  -2.86946 +/- 0.6442 km/s
  Vh_y   = -19.41854 +/- 0.6963 km/s
  Vh_z   = -38.07512 +/- 0.6463 km/s
Orbit:
  La Sun = 141.136573 +/- -0.0000 deg
  a      = -10.607162 +/- 16.3869 AU
  e      =   1.090570 +/- 0.0776
  i      = 113.960191 +/- 0.9811 deg
  peri   = 154.274018 +/- 1.3505 deg
  node   = 141.135592 +/- 0.0001 deg
  Pi     = 295.409610 +/- 1.3505 deg
  q      =   0.960688 +/- 0.0039 AU
  f      =  25.722019 +/- 1.3506 deg
  M      =        nan +/- nan deg
  Q      = -22.175011 +/- 32.7731 AU
  n      =   0.028530 +/- 0.0152 deg/day
  T      = 1000000000.000000 +/- 442216620.3585 years
  Last perihelion JD = NaN 
  Tj     =  -0.995192 +/- 0.4416
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.369267e-05, +4.168418e-06, +8.162168e-04, +3.623065e-10, +2.004746e-05, -4.815217e-06
q   , +4.168418e-06, +7.125974e-06, +1.181974e-03, -1.031956e-09, +3.149666e-05, +1.386760e-05
Tp  , +8.162168e-04, +1.181974e-03, +1.974444e-01, -1.604741e-07, +5.242471e-03, +2.157078e-03
node, +3.623065e-10, -1.031956e-09, -1.604741e-07, +2.323899e-13, -4.422273e-09, -3.118313e-09
peri, +2.004746e-05, +3.149666e-05, +5.242471e-03, -4.422273e-09, +1.394522e-04, +5.943510e-05
i   , -4.815217e-06, +1.386760e-05, +2.157078e-03, -3.118313e-09, +5.943510e-05, +4.184311e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 121.058371

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 4.473e-06 s
  Stddev    = 2.11e-03 s

Begin point on the trajectory:
  Lon =     2.053166 +/- 0.0017 deg
  Lat =    52.317117 +/- 0.0002 deg
  Ht  = 107202.99 +/- 71.13 m
End point on the trajectory:
  Lon =     1.944723 +/- 0.0016 deg
  Lat =    52.252280 +/- 0.0002 deg
  Ht  = 97359.96 +/- 30.63 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   107202.99,    97390.26,          0.005767,     11.58,     22.73,              32.83, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_234136_654_0268800.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000467,  57.231972,   106731.04,    97359.96,          0.012329,     46.54,     20.13,              68.15, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_234133_451_0312064.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,     UK002F,       0,  0.000000, 2459440.487254102249,  41.68707,  26.09099,               76.82728,  23.24897,        76.82910,       23.25084,     41.68707,     +26.09099,      41.68430,      +26.09127,  3047138.10, -2548907.92,  5109326.68,      52.317117,       +2.053166,  107202.99,  260210.35,       0.00,                0.00,   393.12,      0.00,           57338.39,    -10.15,     -5.16,           9.02,  +3.19,  +1.11
  1,     UK002F,       0,  0.040124, 2459440.487254566513,  41.64794,  25.80045,               77.06705,  23.05648,        77.06705,       23.05648,     41.64794,     +25.80045,      41.64811,      +25.80045,  3046299.60, -2549849.80,  5107248.61,      52.306157,       +2.034820,  105534.88,  258164.52,    2430.76,             2430.76,   342.62,  60581.23,           57338.39,     -0.01,     -0.00,           0.01,  +1.86,  -0.20
  2,     UK002F,       0,  0.080232, 2459440.487255030777,  41.60777,  25.54190,               77.28385,  22.88821,        77.27870,       22.88291,     41.60777,     +25.54190,      41.61594,      +25.54112,  3045562.59, -2550677.69,  5105422.03,      52.296517,       +2.018673,  104069.02,  256370.66,    4567.34,             4567.34,    -1.06,  53270.68,           57338.39,     28.36,     14.44,          25.60,  +2.09,  +0.05
  3,     UK002F,       0,  0.120360, 2459440.487255495507,  41.57655,  25.24705,               77.51991,  22.68729,        77.51820,       22.68553,     41.57655,     +25.24705,      41.57965,      +25.24679,  3044738.75, -2551603.11,  5103380.28,      52.285733,       +2.000644,  102430.92,  254373.08,    6955.62,             6955.62,   -94.29,  59516.40,           57338.39,      9.35,      4.76,           8.51,  +1.33,  -0.70
  4,     UK002F,       0,  0.160488, 2459440.487255959772,  41.52618,  24.93422,               77.78236,  22.48425,        77.77292,       22.47457,     41.52618,     +24.93422,      41.54114,      +24.93279,  3043874.07, -2552574.41,  5101237.29,      52.274406,       +1.981728,  100712.08,  252284.41,    9462.30,             9462.30,   -69.10,  62467.33,           58446.69,     51.15,     26.06,          46.93,  +1.48,  -0.53
  5,     UK002F,       0,  0.200640, 2459440.487256424502,  41.50060,  24.60155,               78.04025,  22.25116,        78.04070,       22.25162,     41.50060,     +24.60155,      41.50076,      +24.60162,  3042977.46, -2553581.58,  5099015.17,      52.262651,       +1.962120,   98930.30,  250127.21,   12061.56,            12061.56,    47.16,  64735.32,           59662.41,     -2.43,     -1.24,           2.25,  +1.53,  -0.46
  6,     UK002F,       0,  0.240764, 2459440.487256888766,  41.46449,  24.31080,               78.27514,  22.05549,        78.27520,       22.05554,     41.46449,     +24.31080,      41.46542,      +24.31081,  3042202.27, -2554452.34,  5097094.01,      52.252480,       +1.945145,   97390.26,  248267.69,   14308.78,            14308.78,  -186.87,  56006.93,           59704.78,     -0.28,     -0.14,           0.26,  +2.82,  +0.85
  0,     UK002K,       0,  0.012397, 2459440.487254348118,   2.34452,   0.55896,              128.82282,  25.48669,       128.82282,       25.48669,      2.34452,      +0.55896,       2.34461,       +0.55896,  3046900.89, -2549174.38,  5108738.80,      52.314018,       +2.047935,  106731.04,  239580.74,       0.00,              687.66,   314.13,      0.00,           59304.11,     -0.00,     -0.00,           0.00,  +2.23,  +0.33
  1,     UK002K,       0,  0.052621, 2459440.487254813779,   2.13068,   0.09977,              129.26719,  25.17805,       129.26047,       25.17053,      2.13068,      +0.09977,       2.13979,       +0.09589,  3046119.06, -2550052.61,  5106801.15,      52.303796,       +2.030816,  105175.75,  238746.25,    2266.51,             2954.16,    93.20,  56347.11,           59304.11,     16.00,     36.97,          34.81,  +1.29,  -0.60
  2,     UK002K,       0,  0.092893, 2459440.487255279906,   1.90355,  -0.44211,              129.76399,  24.80060,       129.76516,       24.80191,      1.90355,      -0.44211,       1.90243,       -0.44143,  3045218.55, -2551064.15,  5104569.39,      52.292015,       +2.011124,  103384.89,  237809.54,    4877.04,             5564.69,   213.32,  64822.43,           59304.11,     -2.78,     -6.42,           6.07,  +1.15,  -0.73
  3,     UK002K,       0,  0.133117, 2459440.487255745567,   1.69932,  -0.89920,              130.19304,  24.48667,       130.19306,       24.48669,      1.69932,      -0.89920,       1.69989,       -0.89919,  3044456.89, -2551919.72,  5102681.74,      52.282042,       +1.994442,  101870.58,  237035.72,    7085.06,             7772.71,   -66.10,  54893.11,           59304.11,     -0.05,     -0.11,           0.10,  +0.92,  -0.95
  4,     UK002K,       0,  0.173365, 2459440.487256211229,   1.45121,  -1.42749,              130.69802,  24.12774,       130.68883,       24.11758,      1.45121,      -1.42749,       1.46403,       -1.43277,  3043575.17, -2552910.16,  5100496.52,      52.270488,       +1.975157,  100118.04,  236163.87,    9641.14,            10328.80,     1.06,  63508.37,           59888.18,     21.55,     49.83,          47.41,  +0.91,  -0.96
  5,     UK002K,       0,  0.213605, 2459440.487256676890,   1.22020,  -1.92648,              131.16903,  23.78563,       131.15342,       23.76845,      1.22020,      -1.92648,       1.24160,       -1.93545,  3042750.33, -2553836.71,  5098452.27,      52.259671,       +1.957104,   98479.02,  235370.09,   12032.34,            12719.99,   -96.17,  59423.33,           59988.65,     36.42,     84.26,          80.44,  +1.23,  -0.63
  6,     UK002K,       0,  0.253797, 2459440.487257142086,   1.10279,  -2.28757,              131.45970,  23.51497,       131.47171,       23.52815,      1.10279,      -2.28757,       1.08815,       -2.28067,  3042187.04, -2554469.46,  5097056.24,      52.252280,       +1.944723,   97359.96,  234838.09,   13665.30,            14352.96,  -948.67,  40629.06,           57953.10,    -27.97,    -64.60,          61.83,  +3.11,  +1.26

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.