Orbital Analysis for matched events on 20210813_224219.376_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 68.82° Bg 40.79° Vg 56.28km/s
mass 0.00634g, abs. mag 0.9
Path Details
------------
start -2.05° 49.63° 107.23km
end   -2.11° 49.57° 101.86km

Orbit Details
-------------
Semimajor axis 7.76A.U., eccentricity 0.88, inclination 106.92°, Period 21.63Y, LA Sun 141.10°, last Perihelion 2021-07-18

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: 2459440.446057604160
Time: 2021-08-13 22:42:19.376999 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0038
 Convergence angle = 15.33256 deg
 R.A. =  52.95845  Dec = +62.30051 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 15.33 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2175040.26 +/- 52.97 m
 Y =  -3603568.08 +/- 125.79 m
 Z =   4917699.86 +/- 9.52 m
 Vx =    15610.59 +/- 920.35 m/s
 Vy =    21784.41 +/- 1514.78 m/s
 Vz =    50718.80 +/- 680.14 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.865210e+03, -6.720182e+03, -1.572442e+02, +2.613631e+04, -6.325661e+04, -3.895326e+03
-6.720182e+03, +1.627424e+04, +3.672711e+02, -5.859961e+04, +1.458423e+05, +7.949295e+03
-1.572442e+02, +3.672711e+02, +1.019469e+02, -1.702042e+03, +3.544494e+03, +3.387772e+02
+2.613631e+04, -5.859961e+04, -1.702042e+03, +4.359462e+05, -9.788825e+05, -9.168451e+04
-6.325661e+04, +1.458423e+05, +3.544494e+03, -9.788825e+05, +2.243276e+06, +1.966111e+05
-3.895326e+03, +7.949295e+03, +3.387772e+02, -9.168451e+04, +1.966111e+05, +2.172215e+04

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK0038: -0.000086 s

Reference point on the trajectory:
  Time: 2021-08-13 22:42:19.376999 UTC
  Lon     = +-2.048938 +/- 0.0003 deg
  Lat     = +49.626397 +/- 0.0009 deg
  Lat geo = +49.439523 +/- 0.0009 deg
  Ht      =  107224.78 +/- 85.32 m

  JD dynamic   = 2459440.446858345065 
  LST apparent = 301.1143251606 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  54.37482 +/- 3.2058 deg
  Dec       = +62.14768 +/- 0.6069 deg
  Azimuth   =  31.03739 +/- 0.6503 deg
  Elevation = +33.64653 +/- 1.4918 deg
  Vavg      =  54.66723 +/- 0.4228 km/s
  Vinit     =  57.36417 +/- 0.4549 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.11839 +/- 3.2058 deg
  Dec       = +61.89899 +/- 0.6069 deg
  Azimuth   =  31.35189 +/- 0.6503 deg
  Elevation = +33.55875 +/- 1.4918 deg
  Vavg      =  54.79964 +/- 0.4228 km/s
  Vinit     =  57.49658 +/- 0.4549 km/s
Radiant (geocentric, J2000):
  R.A.   =  54.80304 +/- 3.1623 deg
  Dec    = +61.66601 +/- 0.6260 deg
  Vg     =  56.28049 +/- 0.4638 km/s
  Vinf   =  57.36417 +/- 0.4549 km/s
  Zc     =  56.51364 +/- 1.4929 deg
  Zg     =  57.10094 +/- 1.5019 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.81805 +/- 1.5821 deg
  Bg     = +40.79162 +/- 1.0773 deg
  Vh     =  40.46132 +/- 0.1413 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  99.61699 +/- 1.7685 deg
  Bh     = +65.33199 +/- 2.1970 deg
  Vh_x   =   2.82115 +/- 0.6434 km/s
  Vh_y   = -16.64961 +/- 1.4068 km/s
  Vh_z   = -36.76887 +/- 0.4723 km/s
Orbit:
  La Sun = 141.097007 +/- 0.0000 deg
  a      =   7.763960 +/- 0.6775 AU
  e      =   0.883120 +/- 0.0144
  i      = 106.919605 +/- 1.1786 deg
  peri   = 141.046944 +/- 4.0356 deg
  node   = 141.095993 +/- 0.0001 deg
  Pi     = 282.142937 +/- 4.0357 deg
  q      =   0.907450 +/- 0.0192 AU
  f      =  38.949175 +/- 4.0356 deg
  M      =   1.222603 +/- 0.1002 deg
  Q      =  14.620469 +/- 1.3713 AU
  n      =   0.045560 +/- 0.0071 deg/day
  T      =  21.633438 +/- 2.7599 years
  Last perihelion JD = 2459413.611567 (2021-07-18 02:40:39.403398) +/- 2.3687 days
  Tj     =   0.336779 +/- 0.0850
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.117720e-04, -2.577531e-04, -3.074502e-02, -1.854046e-08, -9.302210e-04, +2.651227e-04
q   , -2.577531e-04, +3.730414e-04, +4.556191e-02, +2.783822e-08, +1.362225e-03, -3.983451e-04
Tp  , -3.074502e-02, +4.556191e-02, +5.626904e+00, +3.407502e-06, +1.674775e-01, -4.878283e-02
node, -1.854046e-08, +2.783822e-08, +3.407502e-06, +2.096508e-12, +1.017389e-07, -2.999953e-08
peri, -9.302210e-04, +1.362225e-03, +1.674775e-01, +1.017389e-07, +4.994049e-03, -1.456244e-03
i   , +2.651227e-04, -3.983451e-04, -4.878283e-02, -2.999953e-08, -1.456244e-03, +4.292819e-04

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: UK000H
  Avg. res. = 1.245e-06 s
  Stddev    = 1.12e-03 s

Begin point on the trajectory:
  Lon =    -2.048839 +/- 0.0003 deg
  Lat =    49.626503 +/- 0.0009 deg
  Ht  = 107234.16 +/- 85.53 m
End point on the trajectory:
  Lon =    -2.106265 +/- 0.0003 deg
  Lat =    49.565210 +/- 0.0014 deg
  Ht  = 101860.02 +/- 106.86 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,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   107234.16,   102259.53,          0.004521,     12.83,      5.52,             103.86, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210813_224213_467_0230912.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.355708,  38.165551,   106682.34,   101860.02,          0.010366,     40.48,      5.60,             106.19, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210813_224218_057_0225280.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,       0,  0.000000, 2459440.446057604160, 294.88558,  -1.91663,              188.13657,  36.93469,       188.12862,       36.93241,    294.88558,      -1.91663,     294.89171,       -1.91947,  2175044.87, -3603561.65,  4917714.83,      49.626503,       -2.048839,  107234.16,  175888.19,       0.00,               16.93,   366.39,      0.00,           55135.40,     -8.19,     19.05,          24.32,  +2.62,  +1.39
  1,     UK000H,       0,  0.040524, 2459440.446058073081, 294.63684,  -2.46480,              188.38310,  36.36622,       188.38583,       36.36701,    294.63684,      -2.46480,     294.63488,       -2.46382,  2174524.20, -3604288.23,  4916023.20,      49.614434,       -2.060186,  106174.23,  176395.62,    1913.28,             1896.35,   -78.82,  47213.46,           55135.40,      2.84,     -6.62,           8.42,  +1.36,  +0.13
  2,     UK000H,       0,  0.081176, 2459440.446058543865, 294.31155,  -3.14373,              188.70417,  35.65979,       188.70119,       35.65894,    294.31155,      -3.14373,     294.31423,       -3.14481,  2173868.43, -3605203.35,  4913892.61,      49.599225,       -2.074432,  104839.80,  177061.83,    4323.03,             4306.10,    -1.04,  59277.55,           55135.40,     -3.14,      7.31,           9.27,  +1.44,  +0.20
  3,     UK000H,       0,  0.121800, 2459440.446059013717, 294.00043,  -3.79792,              189.00492,  34.97847,       188.99949,       34.97691,    294.00043,      -3.79792,     294.00522,       -3.79991,  2173232.71, -3606090.50,  4911827.14,      49.584474,       -2.088244,  103546.74,  177736.66,    6659.12,             6642.19,     4.69,  57505.16,           55135.40,     -5.78,     13.43,          16.97,  +1.62,  +0.37
  4,     UK000H,       0,  0.162420, 2459440.446059484035, 293.69440,  -4.44521,              189.29487,  34.30375,       189.28947,       34.30220,    293.69440,      -4.44521,     293.69937,       -4.44720,  2172599.58, -3606974.02,  4909770.11,      49.569775,       -2.101998,  102259.53,  178436.73,    8985.68,             8968.74,     1.11,  57276.13,           55938.72,     -5.80,     13.49,          16.98,  +1.68,  +0.42
  5,     UK000H,       1,  0.202788, 2459440.446059951093, 293.50316,  -4.82918,              189.47595,  33.90214,       189.46250,       33.89830,    293.50316,      -4.82918,     293.51474,       -4.83417,  2172218.59, -3607505.69,  4908532.26,      49.560926,       -2.110340,  101485.17,  178871.96,   10385.71,            10368.78,  -914.53,  34681.87,           53150.41,    -14.57,     33.85,          42.49,  +5.51,  +4.25
  0,     UK0038,       0,  0.019976, 2459440.446057755966, 307.01959, -10.84719,              173.08905,  27.55673,       173.09373,       27.55935,    307.01959,     -10.84719,     307.01522,      -10.84489,  2174773.82, -3603939.89,  4916834.21,      49.620221,       -2.054713,  106682.34,  223657.58,       0.00,              979.07,   182.62,      0.00,           55211.67,      2.63,    -18.98,          17.67,  +2.63,  +0.88
  1,     UK0038,       0,  0.060296, 2459440.446058222558, 306.75696, -11.30953,              173.41728,  27.11495,       173.41391,       27.11306,    306.75696,     -11.30953,     306.76037,      -11.31119,  2174183.83, -3604763.22,  4914917.33,      49.606541,       -2.067547,  105481.53,  224323.37,    2168.04,             3147.12,    37.74,  53770.92,           55211.67,     -1.90,     13.71,          12.73,  +2.13,  +0.38
  2,     UK0038,       0,  0.100624, 2459440.446058689151, 306.48566, -11.78459,              173.75247,  26.66002,       173.74044,       26.65330,    306.48566,     -11.78459,     306.49749,      -11.79054,  2173573.30, -3605615.21,  4912933.71,      49.592378,       -2.080818,  104239.42,  225032.39,    4411.56,             5390.63,   -32.12,  55631.76,           55211.67,     -6.84,     49.31,          45.63,  +2.22,  +0.46
  3,     UK0038,       0,  0.140968, 2459440.446059156209, 306.23259, -12.27072,              174.06500,  26.19177,       174.06503,       26.19179,    306.23259,     -12.27072,     306.23313,      -12.27071,  2172957.48, -3606474.58,  4910932.91,      49.578085,       -2.094201,  102987.09,  225767.99,    6674.51,             7653.59,   -83.47,  56091.44,           55211.67,      0.01,     -0.10,           0.09,  +2.53,  +0.76
  4,     UK0038,       0,  0.181276, 2459440.446059622802, 306.01143, -12.70880,              174.33619,  25.76856,       174.35361,       25.77826,    306.01143,     -12.70880,     305.99549,      -12.70011,  2172403.03, -3607248.31,  4909131.51,      49.565210,       -2.106265,  101860.02,  226447.55,    8711.93,             9691.01,  -358.29,  50546.31,           54381.11,      9.98,    -72.19,          66.38,  +5.76,  +3.99

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.