Orbital Analysis for matched events on 20210810_002301.644_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 57.54° Bg 37.34° Vg 61.70km/s
mass 0.04901g, abs. mag -1.2
Path Details
------------
start 2.93° 52.00° 105.14km
end   2.83° 51.96° 94.82km

Orbit Details
-------------
Semimajor axis -11.30A.U., eccentricity 1.09, inclination 116.78°, Period 1000000000.00Y, LA Sun 137.32°, 

Full details below
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Detailed report below graphs

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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: 2459436.515991254710
Time: 2021-08-10 00:23:01.644407 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK0032
 Convergence angle = 34.35608 deg
 R.A. =  39.59594  Dec = +53.56824 deg

Best intersection: Stations UK002F and UK0032 with Qconv = 34.36 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3369165.83 +/- 187.04 m
 Y =  -2154972.76 +/- 87.25 m
 Z =   5085612.16 +/- 115.93 m
 Vx =    26646.13 +/- 1336.98 m/s
 Vy =    23239.51 +/- 564.16 m/s
 Vz =    51774.75 +/- 1410.01 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK0032: -0.001690 s

Reference point on the trajectory:
  Time: 2021-08-10 00:23:01.644407 UTC
  Lon     = ++2.930553 +/- 0.0025 deg
  Lat     = +52.001809 +/- 0.0008 deg
  Lat geo = +51.817983 +/- 0.0008 deg
  Ht      =  104881.87 +/- 133.78 m

  JD dynamic   = 2459436.516791995615 
  LST apparent = 327.3963632745 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  41.09341 +/- 0.7420 deg
  Dec       = +55.67109 +/- 0.8640 deg
  Azimuth   =  54.67100 +/- 1.4461 deg
  Elevation = +48.43697 +/- 0.0628 deg
  Vavg      =  58.24127 +/- 0.8321 km/s
  Vinit     =  62.69542 +/- 1.0575 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  41.22504 +/- 0.7420 deg
  Dec       = +55.46031 +/- 0.8640 deg
  Azimuth   =  54.90199 +/- 1.4461 deg
  Elevation = +48.27445 +/- 0.0628 deg
  Vavg      =  58.39960 +/- 0.8321 km/s
  Vinit     =  62.85376 +/- 1.0575 km/s
Radiant (geocentric, J2000):
  R.A.   =  41.24811 +/- 0.7632 deg
  Dec    = +55.42304 +/- 0.8637 deg
  Vg     =  61.70495 +/- 1.0741 km/s
  Vinf   =  62.69542 +/- 1.0575 km/s
  Zc     =  41.66955 +/- 0.0615 deg
  Zg     =  42.01676 +/- 0.0600 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  57.53970 +/- 0.9123 deg
  Bg     = +37.34432 +/- 0.6382 deg
  Vh     =  42.76319 +/- 0.7460 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  71.33891 +/- 2.7278 deg
  Bh     = +61.08311 +/- 1.0894 deg
  Vh_x   =  -6.61624 +/- 1.2780 km/s
  Vh_y   = -19.59065 +/- 0.6630 km/s
  Vh_z   = -37.43156 +/- 0.4415 km/s
Orbit:
  La Sun = 137.324480 +/- nan deg
  a      = -11.302035 +/- 32.4916 AU
  e      =   1.086362 +/- 0.0717
  i      = 116.775288 +/- 1.5026 deg
  peri   = 158.217667 +/- 2.0693 deg
  node   = 137.323514 +/- 0.0001 deg
  Pi     = 295.541181 +/- 2.0692 deg
  q      =   0.976071 +/- 0.0062 AU
  f      =  21.778257 +/- 2.0693 deg
  M      =        nan +/- nan deg
  Q      = -23.580141 +/- 64.9843 AU
  n      =   0.025940 +/- 0.0371 deg/day
  T      = 1000000000.000000 +/- 249443488.9396 years
  Last perihelion JD = NaN 
  Tj     =  -1.024075 +/- 0.4100
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +nan, +nan, +nan, +nan, +nan, +nan
q   , +nan, +nan, +nan, +nan, +nan, +nan
Tp  , +nan, +nan, +nan, +nan, +nan, +nan
node, +nan, +nan, +nan, +nan, +nan, +nan
peri, +nan, +nan, +nan, +nan, +nan, +nan
i   , +nan, +nan, +nan, +nan, +nan, +nan

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.051309
 a2 = 42.843776

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 4.775e-06 s
  Stddev    = 2.19e-03 s

Begin point on the trajectory:
  Lon =     2.933267 +/- 0.0025 deg
  Lat =    52.002996 +/- 0.0005 deg
  Ht  = 105143.75 +/- 116.55 m
End point on the trajectory:
  Lon =     2.825135 +/- 0.0033 deg
  Lat =    51.956040 +/- 0.0008 deg
  Ht  = 94818.16 +/- 152.74 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,   0.010873,  49.274142,   105143.75,    94818.16,          0.018543,     42.43,     89.12,              37.16, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210810_002253_656_0344064.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.222055,  36.512201,   104396.89,    95514.31,          0.001939,      7.14,      4.47,              52.94, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210810_002256_293_0365824.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, 2459436.515991254710,  44.83653,  16.94062,               85.71536,  18.34392,        85.71167,       18.34131,     44.83653,     +16.94062,      44.84109,      +16.94088,  3369314.58, -2154843.03,  5085901.19,      52.002996,       +2.933267,  105143.75,  312355.50,       0.00,              349.99,   445.18,      0.00,           65214.61,     21.46,     10.22,          15.70,  +3.53,  +1.06
  1,     UK002F,       0,  0.040144, 2459436.515991719440,  44.83665,  16.63932,               85.91925,  18.11310,        85.90107,       18.10024,     44.83665,     +16.63932,      44.85926,      +16.64058,  3368208.08, -2155808.07,  5083751.21,      51.994161,       +2.912909,  103195.91,  310320.87,    2603.47,             2253.48,  -168.18,  64853.32,           65214.61,    105.28,     50.21,          77.53,  +2.40,  -0.06
  2,     UK002F,       0,  0.080320, 2459436.515992184170,  44.87407,  16.32976,               86.09933,  17.85276,        86.09642,       17.85070,     44.87407,     +16.32976,      44.87800,      +16.32997,  3367078.68, -2156793.07,  5081556.74,      51.985135,       +2.892130,  101208.22,  308253.31,    5260.81,             4910.82,   -29.69,  66142.53,           65214.61,     16.77,      7.99,          12.43,  +1.64,  -0.80
  3,     UK002F,       0,  0.120460, 2459436.515992648900,  44.86657,  16.02248,               86.31203,  17.62160,        86.28825,       17.60480,     44.86657,     +16.02248,      44.89638,      +16.02411,  3365981.09, -2157750.34,  5079424.07,      51.976354,       +2.871927,   99276.96,  306252.48,    7843.32,             7493.32,    36.22,  64337.43,           65214.61,    136.12,     64.94,         101.58,  +1.61,  -0.82
  4,     UK002F,       0,  0.160644, 2459436.515993114095,  44.91660,  15.70960,               86.48338,  17.35050,        86.48502,       17.35165,     44.91660,     +15.70960,      44.91524,      +15.70949,  3364866.81, -2158722.16,  5077258.96,      51.967430,       +2.851415,   97316.77,  304230.44,   10465.10,            10115.11,   138.65,  65244.51,           65163.85,     -9.35,     -4.45,           7.02,  +1.72,  -0.70
  5,     UK002F,       0,  0.200772, 2459436.515993578359,  44.92749,  15.45278,               86.64694,  17.14638,        86.64516,       17.14512,     44.92749,     +15.45278,      44.93053,      +15.45291,  3363968.53, -2159505.60,  5075513.56,      51.960230,       +2.834844,   95736.89,  302605.04,   12578.65,            12228.66,  -263.64,  52670.16,           63366.02,     10.11,      4.82,           7.63,  +3.00,  +0.60
  6,     UK002F,       0,  0.240872, 2459436.515994042624,  44.97277,  15.30462,               86.71088,  17.00452,        86.73891,       17.02424,     44.97277,     +15.30462,      44.93934,      +15.30266,  3363446.12, -2159961.22,  5074498.49,      51.956040,       +2.825135,   94818.16,  301657.95,   13807.83,            13457.84, -1548.55,  30652.90,           59224.28,   -158.27,    -75.19,         119.81,  +4.83,  +2.43
  0,     UK0032,       0,  0.007643, 2459436.515991431195,  19.10901,   3.52945,              117.49806,  23.37020,       117.49915,       23.37129,     19.10901,      +3.52945,      19.10764,       +3.52983,  3368890.34, -2155213.03,  5085076.87,      51.999610,       +2.925463,  104396.89,  252700.88,       0.00,              648.19,   264.20,      0.00,           60547.24,     -3.45,     -5.52,           5.32,  +4.01,  +2.00
  1,     UK0032,       0,  0.047791, 2459436.515991895925,  18.99632,   3.11723,              117.84114,  23.08178,       117.84155,       23.08218,     18.99632,      +3.11723,      18.99602,       +3.11737,  3367918.98, -2156060.20,  5083189.47,      51.991852,       +2.907570,  102687.07,  251389.59,    2285.50,             2933.69,    32.61,  56926.85,           60547.24,     -1.28,     -2.04,           1.97,  +1.46,  -0.54
  2,     UK0032,       0,  0.087959, 2459436.515992360655,  18.86689,   2.65022,              118.22975,  22.75514,       118.22790,       22.75331,     18.86689,      +2.65022,      18.86971,       +2.64957,  3366829.42, -2157010.46,  5081072.41,      51.983141,       +2.887517,  100769.60,  249936.67,    4849.11,             5497.30,    77.86,  63822.11,           60547.24,      5.79,      9.27,           9.02,  +1.26,  -0.73
  3,     UK0032,       0,  0.128123, 2459436.515992825851,  18.75238,   2.20559,              118.59008,  22.43874,       118.59231,       22.44093,     18.75238,      +2.20559,      18.75004,       +2.20637,  3365808.65, -2157900.73,  5079089.00,      51.974973,       +2.868715,   98973.58,  248591.28,    7250.87,             7899.06,   -38.47,  59798.86,           60547.24,     -6.92,    -11.07,          10.83,  +1.29,  -0.69
  4,     UK0032,       0,  0.168283, 2459436.515993290581,  18.62667,   1.75098,              118.96479,  22.11899,       118.96495,       22.11915,     18.62667,      +1.75098,      18.62719,       +1.75103,  3364771.28, -2158805.48,  5077073.34,      51.966665,       +2.849607,   97148.74,  247240.70,    9691.68,            10339.88,  -115.51,  60777.31,           60627.57,     -0.50,     -0.80,           0.78,  +1.47,  -0.50
  5,     UK0032,       0,  0.208431, 2459436.515993755311,  18.51709,   1.33835,              119.29932,  21.82570,       119.30092,       21.82728,     18.51709,      +1.33835,      18.51589,       +1.33891,  3363841.97, -2159615.98,  5075267.65,      51.959215,       +2.832469,   95514.31,  246044.21,   11878.25,            12526.44,  -446.03,  54462.68,           59770.13,     -4.93,     -7.89,           7.80,  +1.94,  -0.02

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.