Orbital Analysis for matched events on 20210813_000944.306_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.62° Bg 28.90° Vg 51.58km/s
mass 0.00993g, abs. mag 0.2
Path Details
------------
start -2.73° 52.13° 107.09km
end   -2.82° 52.09° 101.33km

Orbit Details
-------------
Semimajor axis 1.08A.U., eccentricity 0.31, inclination 120.54°, Period 1.11Y, LA Sun 140.19°, last Perihelion 2021-06-04

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: 2459439.506762806326
Time: 2021-08-13 00:09:44.306467 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0027 and UK003F
 Convergence angle = 0.65701 deg
 R.A. =  52.28883  Dec = +48.29061 deg

Best intersection: Stations UK0027 and UK003F with Qconv = 0.66 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3115813.66 +/- 588.78 m
 Y =  -2490754.83 +/- 716.37 m
 Z =   5096524.67 +/- 2011.12 m
 Vx =    21212.60 +/- 27997.67 m/s
 Vy =    27081.01 +/- 35602.86 m/s
 Vz =    40008.81 +/- 44758.28 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.029508e+04, +3.914131e+04, -9.397104e+04, +4.563511e+05, +5.051719e+05, -1.413561e+06
+3.914131e+04, +5.057068e+04, -1.214108e+05, +5.896068e+05, +6.526833e+05, -1.826325e+06
-9.397104e+04, -1.214108e+05, +2.914849e+05, -1.415537e+06, -1.566972e+06, +4.384667e+06
+4.563511e+05, +5.896068e+05, -1.415537e+06, +6.874264e+06, +7.609677e+06, -2.129324e+07
+5.051719e+05, +6.526833e+05, -1.566972e+06, +7.609677e+06, +8.423765e+06, -2.357120e+07
-1.413561e+06, -1.826325e+06, +4.384667e+06, -2.129324e+07, -2.357120e+07, +6.595644e+07

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK0027: -0.014211 s
    UK003F: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 00:09:44.306467 UTC
  Lon     = +-2.729881 +/- 0.0092 deg
  Lat     = +52.133585 +/- 0.0076 deg
  Lat geo = +51.950032 +/- 0.0076 deg
  Ht      =  107092.56 +/- 1088.00 m

  JD dynamic   = 2459439.507563547231 
  LST apparent = 321.3614583105 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.92835 +/- 43.7599 deg
  Dec       = +49.31076 +/- 10.7058 deg
  Azimuth   =  54.18007 +/- 15.2886 deg
  Elevation = +36.48711 +/- 3.9710 deg
  Vavg      =  51.16332 +/- 31.2309 km/s
  Vinit     =  52.76420 +/- 54.7005 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  51.92359 +/- 43.7599 deg
  Dec       = +49.07212 +/- 10.7058 deg
  Azimuth   =  54.40872 +/- 15.2886 deg
  Elevation = +36.33513 +/- 3.9710 deg
  Vavg      =  51.35341 +/- 31.2309 km/s
  Vinit     =  52.95429 +/- 54.7005 km/s
Radiant (geocentric, J2000):
  R.A.   =  52.30481 +/- 44.1663 deg
  Dec    = +48.81348 +/- 10.8260 deg
  Vg     =  51.58379 +/- 47.4334 km/s
  Vinf   =  52.76420 +/- 47.2061 km/s
  Zc     =  53.62046 +/- 3.9508 deg
  Zg     =  54.27554 +/- 4.1094 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.61837 +/- 8.5054 deg
  Bg     = +28.89615 +/- 10.0971 deg
  Vh     =  30.43048 +/- 50.2156 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.79872 +/- 13.6809 deg
  Bh     = +54.99918 +/- 4.3561 deg
  Vh_x   =  -2.18802 +/- 7.0578 km/s
  Vh_y   = -17.31688 +/- 13.8246 km/s
  Vh_z   = -24.92694 +/- 48.4712 km/s
Orbit:
  La Sun = 140.194994 +/- -0.0000 deg
  a      =   1.075214 +/- 6.3398 AU
  e      =   0.313832 +/- 13.6558
  i      = 120.535304 +/- 6.7077 deg
  peri   =  82.057294 +/- 19.1605 deg
  node   = 140.193533 +/- 0.0005 deg
  Pi     = 222.250827 +/- 19.1608 deg
  q      =   0.737777 +/- 0.0581 AU
  f      =  97.938504 +/- 19.1604 deg
  M      =  61.740271 +/- nan deg
  Q      =   1.412651 +/- 12.6913 AU
  n      =   0.884020 +/- 94.3118 deg/day
  T      =   1.114918 +/- 339934612.4120 years
  Last perihelion JD = 2459369.667182 (2021-06-04 04:00:44.531187) +/- 22.5223 days
  Tj     =   4.401680 +/- 73.0794
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.112367e-01, +5.785480e-02, +1.463904e+01, +4.831317e-06, +3.486034e-01, -6.248930e-02
q   , +5.785480e-02, +1.584562e-02, +4.009429e+00, +1.323231e-06, +9.547764e-02, -1.711495e-02
Tp  , +1.463904e+01, +4.009429e+00, +1.014508e+03, +3.348179e-04, +2.415877e+01, -4.330607e+00
node, +4.831317e-06, +1.323231e-06, +3.348179e-04, +1.104998e-10, +7.973111e-06, -1.429229e-06
peri, +3.486034e-01, +9.547764e-02, +2.415877e+01, +7.973111e-06, +5.752994e-01, -1.031260e-01
i   , -6.248930e-02, -1.711495e-02, -4.330607e+00, -1.429229e-06, -1.031260e-01, +1.848596e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.251642
 a2 = 22.033610

Mean time residuals from time vs. length:
  Station with reference time: UK003F
  Avg. res. = 1.534e-05 s
  Stddev    = 3.92e-03 s

Begin point on the trajectory:
  Lon =    -2.729994 +/- 0.0092 deg
  Lat =    52.133535 +/- 0.0075 deg
  Ht  = 107085.40 +/- 1081.07 m
End point on the trajectory:
  Lon =    -2.821508 +/- 0.0233 deg
  Lat =    52.093193 +/- 0.0371 deg
  Ht  = 101331.66 +/- 5290.91 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
    UK0006,    True,    -1.306160,    51.883100,   80.00, 197635.789714,   0.000000,   107039.07,   102976.88,          0.046552,       nan,       nan,              54.12, 0.0000,    True,    True, {"ff_name": "FF_UK0006_20210813_000938_612_0340992.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.600313,  28.389082,   106296.69,   101331.66,          0.018103,     15.60,     39.66,              18.79, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210813_000943_071_0350464.fits"}
    UK003F,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   107085.40,   102285.15,          0.010833,     10.74,     26.62,              33.32, 1.0000,    True,    True, {"ff_name": "FF_UK003F_20210813_000945_882_0356096.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,     UK0006,       1,  3.750888, 2459439.506806219462, 255.65984,  43.07103,              286.40285,  45.44333,       286.32272,       45.48859,    255.65984,     +43.07103,     255.77078,      +43.05198,  3115822.78, -2490743.19,  5096541.87,      52.133681,       -2.745340,  107039.07,  148863.29,       0.00,               22.68, -197823.78,      0.00,           54829.67,   -183.85,    -37.05,         259.78,  +2.05,  +1.19
  1,     UK0006,       1,  3.791724, 2459439.506806692109, 255.38870,  42.10547,              285.46767,  44.71116,       285.45553,       44.71795,    255.38870,     +42.10547,     255.41883,      +42.10261,  3114795.72, -2492054.38,  5094604.74,      52.123052,       -2.769433,  105518.73,  148683.52,    2554.71,             2532.03, -197469.11,  62560.35,           54829.67,    -27.95,     -5.63,          39.54,  +1.15,  +0.29
  2,     UK0006,       1,  3.832344, 2459439.506807161961, 255.14054,  41.41346,              284.84964,  44.14693,       284.83908,       44.15280,    255.14054,     +41.41346,     255.16890,      +41.41100,  3114050.41, -2493005.87,  5093199.03,      52.115332,       -2.786962,  104415.47,  148582.51,    4408.58,             4385.90, -197758.53,  45639.30,           54829.67,    -24.37,     -4.91,          34.50,  +0.88,  +0.02
  3,     UK0006,       1,  3.873148, 2459439.506807634607, 254.90723,  40.49289,              283.98921,  43.44492,       284.05170,       43.41045,    254.90723,     +40.49289,     254.85092,      +40.50739,  3113077.95, -2494247.37,  5091364.88,      52.105252,       -2.809782,  102976.88,  148483.58,    6827.49,             6804.81, -197492.61,  59281.10,           54829.67,    144.85,     29.17,         205.19,  +1.86,  +1.00
  0,     UK0027,       0,  0.027408, 2459439.506763288751, 229.52535,  79.32306,              343.34858,  49.75264,       343.34586,       49.76022,    229.52535,     +79.32306,     229.56748,      +79.32333,  3115275.55, -2491441.81,  5095509.74,      52.128017,       -2.742589,  106296.69,  138382.81,       0.00,             1338.50,   -41.52,      0.00,           53280.86,    -17.48,     -6.89,          28.00,  +2.36,  +1.65
  1,     UK0027,       0,  0.067404, 2459439.506763751619, 229.71900,  78.65195,              342.33335,  49.61029,       342.33585,       49.60373,    229.71900,     +78.65195,     229.68499,      +78.65173,  3114453.72, -2492491.00,  5093959.70,      52.119508,       -2.761898,  105081.53,  137117.88,    2044.22,             3382.72,  -107.66,  51110.49,           53280.86,     15.06,      5.93,          24.35,  +1.11,  +0.42
  2,     UK0027,       0,  0.107400, 2459439.506764214486, 229.89313,  77.91910,              341.23308,  49.44219,       341.24084,       49.42293,    229.89313,     +77.91910,     229.79853,      +77.91851,  3113572.99, -2493615.38,  5092298.56,      52.110382,       -2.782578,  103779.72,  135783.43,    4234.95,             5573.45,   -27.29,  54773.86,           53280.86,     43.92,     17.28,          71.69,  +1.54,  +0.88
  3,     UK0027,       0,  0.147404, 2459439.506764677353, 230.03718,  77.18952,              340.14651,  49.26249,       340.15912,       49.23277,    230.03718,     +77.18952,     229.89883,      +77.18866,  3112713.20, -2494713.03,  5090676.93,      52.101467,       -2.802771,  102509.32,  134502.66,    6373.58,             7712.09,     0.57,  53460.47,           53280.86,     67.38,     26.49,         111.02,  +1.54,  +0.90
  4,     UK0027,       0,  0.187428, 2459439.506765140686, 230.04113,  76.49941,              339.13911,  49.05694,       339.14491,       49.04390,    230.04113,     +76.49941,     229.98379,      +76.49904,  3111915.91, -2495730.88,  5089173.17,      52.093193,       -2.821508,  101331.66,  133335.06,    8356.75,             9695.26,  -128.09,  49549.56,           52601.85,     29.43,     11.58,          48.92,  +2.16,  +1.54
  5,     UK0027,       1,  0.227448, 2459439.506765604019, 230.08359,  75.84236,              338.18324,  48.86222,       338.18622,       48.85579,    230.08359,     +75.84236,     230.05715,      +75.84219,  3111169.55, -2496683.73,  5087765.46,      52.085442,       -2.839058,  100229.54,  132260.02,   10213.27,            11551.77,  -383.21,  46389.62,           51520.07,     14.43,      5.68,          24.18,  +5.92,  +5.31
  0,     UK003F,       0,  0.000000, 2459439.506762806326, 229.53339,  64.93284,              323.96018,  44.00441,       323.97156,       43.98910,    229.53339,     +64.93284,     229.49243,      +64.93232,  3115808.82, -2490761.01,  5096515.54,      52.133535,       -2.729994,  107085.40,  152664.47,       0.00,               12.04,    78.19,      0.00,           52612.04,     42.90,     17.30,          62.50,  +2.88,  +1.96
  1,     UK003F,       0,  0.040304, 2459439.506763272919, 229.55101,  64.22396,              323.10517,  43.65494,       323.10777,       43.65151,    229.55101,     +64.22396,     229.54219,      +64.22385,  3114985.24, -2491812.43,  5094962.19,      52.125012,       -2.749345,  105867.39,  151839.38,    2048.58,             2060.62,     0.16,  50828.11,           52612.04,      9.61,      3.88,          14.08,  +1.05,  +0.14
  2,     UK003F,       0,  0.080656, 2459439.506763739977, 229.55922,  63.41897,              322.14974,  43.24635,       322.13885,       43.26042,    229.55922,     +63.41897,     229.59565,      +63.41944,  3114060.16, -2492993.44,  5093217.40,      52.115431,       -2.771060,  104499.75,  150939.97,    4349.62,             4361.67,   172.06,  57024.40,           52612.04,    -39.46,    -15.94,          58.16,  +1.39,  +0.50
  3,     UK003F,       0,  0.120944, 2459439.506764206104, 229.63223,  62.72818,              321.31837,  42.91535,       321.31633,       42.91794,    229.63223,     +62.72818,     229.63928,      +62.72827,  3113274.57, -2493996.36,  5091735.71,      52.107289,       -2.789526,  103338.73,  150200.61,    6303.70,             6315.74,     0.37,  48502.67,           52612.04,     -7.29,     -2.94,          10.79,  +1.84,  +0.96
  4,     UK003F,       0,  0.161216, 2459439.506764672231, 229.67626,  62.09465,              320.57057,  42.59863,       320.57037,       42.59887,    229.67626,     +62.09465,     229.67753,      +62.09466,  3112561.46, -2494906.74,  5090390.73,      52.099893,       -2.806303,  102285.15,  149549.08,    8077.48,             8089.52,  -350.77,  44044.95,           50637.09,     -0.68,     -0.27,           1.01,  +2.91,  +2.04

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.