Orbital Analysis for matched events on 20210810_025819.436_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 58.30° Bg 42.44° Vg 61.21km/s
mass 0.01989g, abs. mag -0.6
Path Details
------------
start -4.99° 50.61° 103.79km
end   -5.03° 50.59° 96.10km

Orbit Details
-------------
Semimajor axis -3.58A.U., eccentricity 1.27, inclination 109.92°, Period 1000000000.00Y, LA Sun 137.43°, 

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: 2459436.623836067040
Time: 2021-08-10 02:58:19.436192 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK003H
 Convergence angle = 10.05371 deg
 R.A. =  36.47908  Dec = +60.54342 deg

Best intersection: Stations UK0024 and UK003H with Qconv = 10.05 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4119712.17 +/- 102.55 m
 Y =   -114873.39 +/- 166.71 m
 Z =   4986642.12 +/- 76.94 m
 Vx =    24068.01 +/- 1383.60 m/s
 Vy =    19098.68 +/- 2660.83 m/s
 Vz =    54087.51 +/- 821.17 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK0024: 0.000000 s
    UK003H: -0.000284 s

Reference point on the trajectory:
  Time: 2021-08-10 02:58:19.436192 UTC
  Lon     = +-4.993450 +/- 0.0023 deg
  Lat     = +50.613099 +/- 0.0003 deg
  Lat geo = +50.427267 +/- 0.0003 deg
  Ht      =  103839.43 +/- 126.16 m

  JD dynamic   = 2459436.624636807945 
  LST apparent = 358.4027875711 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  38.43304 +/- 4.7814 deg
  Dec       = +60.40075 +/- 1.1776 deg
  Azimuth   =  50.76369 +/- 1.8366 deg
  Elevation = +65.78468 +/- 2.6161 deg
  Vavg      =  54.68493 +/- 0.1054 km/s
  Vinit     =  62.20520 +/- 0.1690 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  38.85947 +/- 4.7814 deg
  Dec       = +60.24549 +/- 1.1776 deg
  Azimuth   =  51.18670 +/- 1.8366 deg
  Elevation = +65.58886 +/- 2.6161 deg
  Vavg      =  54.78106 +/- 0.1054 km/s
  Vinit     =  62.30133 +/- 0.1690 km/s
Radiant (geocentric, J2000):
  R.A.   =  38.42683 +/- 4.7977 deg
  Dec    = +60.32723 +/- 1.1959 deg
  Vg     =  61.20672 +/- 0.1717 km/s
  Vinf   =  62.20520 +/- 0.1690 km/s
  Zc     =  24.33326 +/- 2.6113 deg
  Zg     =  24.53314 +/- 2.6326 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  58.29803 +/- 2.5306 deg
  Bg     = +42.43862 +/- 1.9695 deg
  Vh     =  44.69713 +/- 0.3550 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  76.23720 +/- 3.9739 deg
  Bh     = +67.52890 +/- 3.3991 deg
  Vh_x   =  -4.06434 +/- 1.2514 km/s
  Vh_y   = -16.59352 +/- 2.2224 km/s
  Vh_z   = -41.30339 +/- 1.5533 km/s
Orbit:
  La Sun = 137.427946 +/- nan deg
  a      =  -3.582939 +/- 1.0139 AU
  e      =   1.274368 +/- 0.0387
  i      = 109.922012 +/- 1.8618 deg
  peri   = 161.078862 +/- 6.8178 deg
  node   = 137.428320 +/- 0.0001 deg
  Pi     = 298.507182 +/- 6.8179 deg
  q      =   0.983043 +/- 0.0335 AU
  f      =  18.917632 +/- 6.8177 deg
  M      =        nan +/- nan deg
  Q      =  -8.148921 +/- 1.9963 AU
  n      =   0.145327 +/- 0.0233 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.899188 +/- 0.1603
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

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: UK0024
  Avg. res. = 2.239e-05 s
  Stddev    = 4.73e-03 s

Begin point on the trajectory:
  Lon =    -4.993585 +/- 0.0023 deg
  Lat =    50.613029 +/- 0.0003 deg
  Ht  = 103793.83 +/- 120.88 m
End point on the trajectory:
  Lon =    -5.031517 +/- 0.0040 deg
  Lat =    50.593658 +/- 0.0006 deg
  Ht  = 96104.80 +/- 192.54 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
    UK000H,    True,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   101739.75,    95858.45,          0.069883,       nan,       nan,              90.66, 0.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_025813_323_0599040.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   103793.83,    96104.80,          0.008298,     22.62,     13.00,              81.28, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210810_025819_212_0594688.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   103573.60,    97214.18,          0.013638,     50.98,     18.45,              90.41, 1.0000,    True,    True, {"ff_name": "FF_UK003H_20210810_025812_895_0594688.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,     UK000H,       1, -1.928044, 2459436.623813751619, 290.54389,  14.04397,              264.34594,  22.75740,       264.27625,       22.77135,    290.54389,     +14.04397,     290.59562,      +14.01299,  4118821.36,  -115580.27,  4984640.23,      50.607813,       -4.995565,  101739.75,  252059.06,       0.00,             2302.34, 123114.17,     -0.00,           53490.26,   -168.73,    234.96,         236.72,  +2.56,  +0.55
  1,     UK000H,       1, -1.887704, 2459436.623814218678, 290.34116,  13.65627,              264.23688,  22.33442,       264.17731,       22.34634,    290.34116,     +13.65627,     290.38447,      +13.62975,  4118081.99,  -116166.98,  4982978.66,      50.603423,       -5.004179,   99997.10,  251955.38,    1910.95,             4213.29, 122515.76,  47371.01,           53490.26,   -144.57,    201.38,         202.95,  +1.19,  -0.82
  2,     UK000H,       1, -1.847300, 2459436.623814686202, 290.09766,  13.20219,              264.11567,  21.83476,       264.06141,       21.84561,    290.09766,     +13.20219,     290.13667,      +13.17800,  4117211.40,  -116857.83,  4981022.18,      50.598250,       -5.014296,   97945.26,  251849.96,    4161.06,             6463.40, 122252.53,  55690.27,           53490.26,   -132.06,    183.98,         185.48,  +1.74,  -0.27
  3,     UK000H,       1, -1.806912, 2459436.623815153725, 289.80523,  12.76331,              264.04590,  21.31552,       263.94426,       21.33586,    289.80523,     +12.76331,     289.88539,      +12.71793,  4116325.91,  -117560.49,  4979032.24,      50.592984,       -5.024586,   95858.45,  251763.20,    6449.66,             8752.00, 122028.79,  56665.39,           53490.26,   -248.41,    345.51,         348.63,  +4.27,  +2.27
  0,     UK0024,       0,  0.000000, 2459436.623836067040, 300.77039,  19.87712,              259.27029,  34.28918,       259.26730,       34.28966,    300.77039,     +19.87712,     300.77270,      +19.87586,  4119700.33,  -114882.78,  4986615.51,      50.613029,       -4.993585,  103793.83,  181057.23,       0.00,               30.59,   908.07,      0.00,           53018.26,     -3.96,      6.89,           9.05,  +4.77,  +3.48
  1,     UK0024,       0,  0.040492, 2459436.623836535495, 300.46205,  19.34776,              259.11400,  33.69944,       259.13019,       33.69684,    300.46205,     +19.34776,     300.44965,      +19.35465,  4118945.59,  -115481.69,  4984919.41,      50.608551,       -5.002371,  102014.10,  180620.77,    1950.66,             1981.26,   339.92,  48174.03,           53018.26,     21.55,    -37.49,          49.38,  +2.57,  +1.29
  2,     UK0024,       0,  0.081044, 2459436.623837004881, 300.09868,  18.77700,              258.97665,  33.04327,       258.98094,       33.04258,    300.09868,     +18.77700,     300.09567,      +18.77883,  4118116.70,  -116139.44,  4983056.65,      50.603630,       -5.012008,  100059.68,  180163.73,    4092.99,             4123.59,   -40.29,  52829.24,           53018.26,      5.74,     -9.98,          13.18,  +1.91,  +0.63
  3,     UK0024,       0,  0.121648, 2459436.623837475199, 299.70282,  18.14278,              258.82273,  32.31770,       258.81821,       32.31843,    299.70282,     +18.14278,     299.70688,      +18.14084,  4117203.99,  -116863.70,  4981005.55,      50.598206,       -5.022607,   97907.84,  179687.87,    6451.93,             6482.53,  -207.13,  58096.26,           53018.26,     -6.08,     10.58,          14.01,  +2.30,  +1.03
  4,     UK0024,       0,  0.162152, 2459436.623837943655, 299.39082,  17.59751,              258.67066,  31.71035,       258.68339,       31.70831,    299.39082,     +17.59751,     299.38147,      +17.60298,  4116439.25,  -117470.55,  4979286.95,      50.593658,       -5.031517,   96104.80,  179313.65,    8428.47,             8459.06,  -750.16,  48798.52,           52677.21,     17.18,    -29.89,          39.65,  +4.05,  +2.78
  0,     UK003H,       0,  0.009056, 2459436.623836172279, 304.85980,   6.91972,              246.61113,  26.06019,       246.61820,       26.05956,    304.85980,      +6.91972,     304.85426,       +6.92288,  4119606.97,  -114956.87,  4986405.71,      50.612476,       -4.994689,  103573.60,  228062.59,       0.00,              271.89,   586.01,      0.00,           57997.08,      8.63,    -23.87,          22.96,  +3.63,  +1.84
  1,     UK003H,       0,  0.049460, 2459436.623836639803, 304.61751,   6.49940,              246.56009,  25.57805,       246.56702,       25.57743,    304.61751,      +6.49940,     304.61221,       +6.50251,  4118861.18,  -115548.68,  4984729.70,      50.608050,       -5.003373,  101814.96,  227937.19,    1927.55,             2199.44,     0.23,  47706.92,           57997.08,      8.50,    -23.52,          22.63,  +1.38,  -0.41
  2,     UK003H,       0,  0.089996, 2459436.623837109189, 304.30356,   5.93336,              246.48159,  24.93557,       246.49885,       24.93404,    304.30356,      +5.93336,     304.29018,       +5.94112,  4117866.52,  -116337.96,  4982494.44,      50.602144,       -5.014904,   99469.88,  227792.22,    4498.29,             4770.18,    49.41,  63418.66,           57997.08,     21.25,    -58.81,          56.62,  +1.54,  -0.25
  3,     UK003H,       0,  0.130524, 2459436.623837578110, 303.96224,   5.41036,              246.45621,  24.31239,       246.43393,       24.31437,    303.96224,      +5.41036,     303.98062,       +5.40031,  4116909.73,  -117097.21,  4980344.26,      50.596457,       -5.026007,   97214.18,  227680.50,    6971.17,             7243.06,     1.25,  61016.71,           57997.08,    -27.61,     76.25,          73.46,  +1.82,  +0.03

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.