Orbital Analysis for matched events on 20210813_014620.066_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.76° Bg 39.27° Vg 57.37km/s
mass 0.00635g, abs. mag 0.6
Path Details
------------
start -2.00° 52.67° 108.36km
end   -2.08° 52.64° 99.33km

Orbit Details
-------------
Semimajor axis 7.46A.U., eccentricity 0.88, inclination 110.25°, Period 20.36Y, LA Sun 140.26°, last Perihelion 2021-07-19

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: 2459439.573843358550
Time: 2021-08-13 01:46:20.066179 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK002Z
 Convergence angle = 39.32365 deg
 R.A. =  50.92323  Dec = +59.38313 deg

Best intersection: Stations UK002H and UK002Z with Qconv = 39.32 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3829603.31 +/- 79.62 m
 Y =   -933382.81 +/- 9.04 m
 Z =   5134547.88 +/- 24.71 m
 Vx =    18551.49 +/- 370.34 m/s
 Vy =    22948.08 +/- 112.92 m/s
 Vz =    50438.30 +/- 106.66 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.759329e+03, -3.241624e+02, +1.974614e+03, +2.564439e+04, -6.498285e+03, -4.810446e+03
-3.241624e+02, +8.801811e+01, -9.019317e+01, -8.878796e+02, +5.271757e+02, +2.680109e+01
+1.974614e+03, -9.019317e+01, +6.778044e+02, +6.582298e+03, -1.917125e+03, -1.122452e+03
+2.564439e+04, -8.878796e+02, +6.582298e+03, +1.440813e+05, -3.233648e+04, -2.872186e+04
-6.498285e+03, +5.271757e+02, -1.917125e+03, -3.233648e+04, +1.091356e+04, +4.814952e+03
-4.810446e+03, +2.680109e+01, -1.122452e+03, -2.872186e+04, +4.814952e+03, +6.455499e+03

Timing offsets (from input data):
    UK002H: 0.000000 s
    UK002Z: 0.000220 s

Reference point on the trajectory:
  Time: 2021-08-13 01:46:20.066179 UTC
  Lon     = +-2.004000 +/- 0.0002 deg
  Lat     = +52.669763 +/- 0.0004 deg
  Lat geo = +52.487141 +/- 0.0004 deg
  Ht      =  108363.31 +/- 65.97 m

  JD dynamic   = 2459439.574644099455 
  LST apparent = 346.3024550943 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.04752 +/- 0.6757 deg
  Dec       = +59.67030 +/- 0.1808 deg
  Azimuth   =  52.36964 +/- 0.4678 deg
  Elevation = +54.78283 +/- 0.2690 deg
  Vavg      =  57.13788 +/- 0.1066 km/s
  Vinit     =  58.43624 +/- 0.0166 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  51.28355 +/- 0.6757 deg
  Dec       = +59.45058 +/- 0.1808 deg
  Azimuth   =  52.66602 +/- 0.4678 deg
  Elevation = +54.60054 +/- 0.2690 deg
  Vavg      =  57.26971 +/- 0.1066 km/s
  Vinit     =  58.56807 +/- 0.0166 km/s
Radiant (geocentric, J2000):
  R.A.   =  51.24066 +/- 0.6810 deg
  Dec    = +59.49164 +/- 0.1800 deg
  Vg     =  57.37282 +/- 0.0169 km/s
  Vinf   =  58.43624 +/- 0.0166 km/s
  Zc     =  35.32893 +/- 0.2701 deg
  Zg     =  35.66402 +/- 0.2730 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.76060 +/- 0.4889 deg
  Bg     = +39.27285 +/- 0.0836 deg
  Vh     =  40.39989 +/- 0.0884 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  91.04284 +/- 1.1496 deg
  Bh     = +64.02281 +/- 0.1608 deg
  Vh_x   =   0.32206 +/- 0.3666 km/s
  Vh_y   = -17.69276 +/- 0.1132 km/s
  Vh_z   = -36.31823 +/- 0.0577 km/s
Orbit:
  La Sun = 140.259404 +/- -0.0000 deg
  a      =   7.457409 +/- 0.5535 AU
  e      =   0.876042 +/- 0.0079
  i      = 110.250546 +/- 0.2416 deg
  peri   = 144.316675 +/- 0.8605 deg
  node   = 140.259414 +/- 0.0000 deg
  Pi     = 284.576089 +/- 0.8605 deg
  q      =   0.924405 +/- 0.0048 AU
  f      =  35.679702 +/- 0.8605 deg
  M      =   1.210005 +/- 0.0923 deg
  Q      =  13.990413 +/- 1.1114 AU
  n      =   0.048397 +/- 0.0042 deg/day
  T      =  20.364915 +/- 2.3970 years
  Last perihelion JD = 2459414.573193 (2021-07-19 01:45:23.852080) +/- 0.4390 days
  Tj     =   0.298255 +/- 0.0374
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.547220e-05, -3.680073e-05, -3.247493e-03, +2.334895e-09, -1.141737e-04, -3.483002e-05
q   , -3.680073e-05, +2.401047e-05, +2.211030e-03, -1.284975e-09, +7.576073e-05, +1.916929e-05
Tp  , -3.247493e-03, +2.211030e-03, +2.060709e-01, -1.127452e-07, +7.011549e-03, +1.681862e-03
node, +2.334895e-09, -1.284975e-09, -1.127452e-07, +8.356223e-14, -3.978186e-09, -1.246461e-09
peri, -1.141737e-04, +7.576073e-05, +7.011549e-03, -3.978186e-09, +2.395516e-04, +5.934522e-05
i   , -3.483002e-05, +1.916929e-05, +1.681862e-03, -1.246461e-09, +5.934522e-05, +1.859297e-05

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: UK002H
  Avg. res. = 9.491e-06 s
  Stddev    = 3.08e-03 s

Begin point on the trajectory:
  Lon =    -2.004023 +/- 0.0002 deg
  Lat =    52.669752 +/- 0.0004 deg
  Ht  = 108360.46 +/- 66.47 m
End point on the trajectory:
  Lon =    -2.078354 +/- 0.0002 deg
  Lat =    52.635265 +/- 0.0003 deg
  Ht  = 99325.82 +/- 36.21 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.000000,   0.000000,   108360.46,    99325.82,          0.005468,     12.36,      4.00,              58.45, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20210813_014620_994_0483840.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,  14.410650,   0.000000,   105682.78,    99732.02,          0.011510,     34.04,     13.43,              88.69, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_014621_046_0495616.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,     UK002H,       0,  0.000000, 2459439.573843358550, 358.16445,  16.10316,              160.85380,  51.49587,       160.85914,       51.49867,    358.16445,     +16.10316,     358.16047,      +16.10523,  3829602.20,  -933384.18,  5134544.87,      52.669752,       -2.004023,  108360.46,  137711.95,       0.00,                3.49,   553.37,      0.00,           54810.77,     -3.22,     -9.95,          15.66,  +2.60,  +1.91
  1,     UK002H,       0,  0.040488, 2459439.573843827005, 357.85182,  15.54044,              161.50446,  51.00467,       161.51826,       51.01186,    357.85182,     +15.54044,     357.84168,      +15.54578,  3829032.92,  -934088.38,  5132997.10,      52.664171,       -2.016097,  106895.53,  136763.83,    1793.20,             1796.69,   -19.39,  44289.72,           54810.77,     -8.29,    -25.61,          40.59,  +1.36,  +0.68
  2,     UK002H,       0,  0.081196, 2459439.573844298255, 357.38143,  14.73099,              162.45145,  50.29694,       162.45015,       50.29627,    357.38143,     +14.73099,     357.38274,      +14.73049,  3828217.94,  -935096.51,  5130781.29,      52.656175,       -2.033316,  104798.59,  135437.42,    4360.37,             4363.86,   168.96,  63063.01,           54810.77,      0.78,      2.40,           3.84,  +0.79,  +0.13
  3,     UK002H,       0,  0.121816, 2459439.573844768573, 356.98320,  14.01715,              163.24296,  49.66500,       163.24295,       49.66499,    356.98320,     +14.01715,     356.98372,      +14.01714,  3827518.25,  -935962.02,  5128878.96,      52.649304,       -2.048126,  102998.56,  134327.21,    6564.35,             6567.84,    -0.75,  54258.46,           54810.77,      0.01,      0.03,           0.04,  +0.76,  +0.12
  4,     UK002H,       0,  0.162504, 2459439.573845239356, 356.55449,  13.23460,              164.07976,  48.96612,       164.08550,       48.96903,    356.55449,     +13.23460,     356.55085,      +13.23683,  3826766.45,  -936891.99,  5126834.95,      52.641915,       -2.064030,  101064.74,  133164.99,    8932.47,             8935.96,   -10.28,  58201.92,           55710.06,     -3.41,    -10.53,          17.14,  +0.93,  +0.31
  5,     UK002H,       0,  0.203128, 2459439.573845709674, 356.15900,  12.52144,              164.83236,  48.32582,       164.83605,       48.32768,    356.15900,     +12.52144,     356.15706,      +12.52288,  3826090.34,  -937728.34,  5124996.71,      52.635265,       -2.078354,   99325.82,  132147.24,   11062.20,            11065.69,  -254.46,  52425.44,           55497.53,     -2.19,     -6.76,          11.09,  +1.93,  +1.32
  6,     UK002H,       1,  0.244068, 2459439.573846183252, 355.52410,  11.45224,              165.99145,  47.36466,       165.94155,       47.33983,    355.52410,     +11.45224,     355.56297,      +11.43267,  3825078.33,  -938980.19,  5122245.24,      52.625300,       -2.099716,   96723.46,  130675.17,   14249.97,            14253.46,   540.93,  77864.41,           57837.23,     29.34,     91.05,         151.00,  +5.83,  +5.25
  0,     UK002Z,       0,  0.068427, 2459439.573844147846, 309.12397,   7.99381,              229.07124,  34.78512,       229.05459,       34.78449,    309.12397,      +7.99381,     309.13627,       +7.98705,  3828561.60,  -934671.40,  5131715.65,      52.659548,       -2.026072,  105682.78,  182172.55,       0.00,             3281.34,  -167.41,      0.00,           60040.77,    -15.97,     40.47,          49.26,  +1.57,  +0.27
  1,     UK002Z,       0,  0.109055, 2459439.573844618164, 308.74047,   7.29529,              229.09828,  33.99019,       229.10199,       33.99033,    308.74047,      +7.29529,     308.73822,       +7.29681,  3827760.75,  -935662.06,  5129538.26,      52.651686,       -2.042997,  103622.38,  182154.88,    2522.65,             5803.99,   -18.91,  62091.39,           60040.77,      3.59,     -9.11,          11.09,  +1.31,  +0.01
  2,     UK002Z,       0,  0.149695, 2459439.573845088482, 308.32664,   6.61450,              229.16795,  33.19720,       229.14849,       33.19646,    308.32664,      +6.61450,     308.34155,       +6.60647,  3826960.19,  -936652.33,  5127361.70,      52.643820,       -2.059920,  101563.07,  182172.26,    5044.34,             8325.69,   127.94,  62049.59,           60040.77,    -19.03,     48.22,          58.70,  +1.42,  +0.12
  3,     UK002Z,       0,  0.190247, 2459439.573845557868, 307.99594,   5.98846,              229.17972,  32.49018,       229.18944,       32.49055,    307.99594,      +5.98846,     307.98955,       +5.99249,  3826248.28,  -937532.97,  5125426.12,      52.636819,       -2.074992,   99732.02,  182217.92,    7286.85,            10568.19,     0.73,  55299.40,           60040.77,      9.57,    -24.28,          29.54,  +1.86,  +0.56

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.