Orbital Analysis for matched events on 20210813_215755.598_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.03° Bg 36.84° Vg 58.95km/s
mass 0.06110g, abs. mag -1.9
Path Details
------------
start -3.00° 54.88° 104.27km
end   -3.13° 54.77° 95.32km

Orbit Details
-------------
Semimajor axis 6.73A.U., eccentricity 0.86, inclination 115.36°, Period 17.45Y, LA Sun 141.07°, last Perihelion 2021-07-23

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: 2459440.415226839948
Time: 2021-08-13 21:57:55.598972 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002Z and UK003F
 Convergence angle = 29.10317 deg
 R.A. =  48.82861  Dec = +57.31766 deg

Best intersection: Stations UK002Z and UK003F with Qconv = 29.10 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1218781.54 +/- 162.42 m
 Y =  -3533335.54 +/- 57.99 m
 Z =   5278951.28 +/- 174.58 m
 Vx =    21548.73 +/- 1164.97 m/s
 Vy =    24537.15 +/- 545.11 m/s
 Vz =    50320.93 +/- 910.50 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.885846e+04, +2.791244e+03, -2.302537e+04, +8.296187e+04, +3.471959e+03, -5.820695e+04
+2.791244e+03, +2.888110e+03, -3.572934e+03, +3.169334e+03, +1.111220e+04, -1.024009e+04
-2.302537e+04, -3.572934e+03, +2.121018e+04, -6.541691e+04, -5.826260e+03, +6.737925e+04
+8.296187e+04, +3.169334e+03, -6.541691e+04, +4.414009e+05, -1.398704e+04, -2.984869e+05
+3.471959e+03, +1.111220e+04, -5.826260e+03, -1.398704e+04, +5.398034e+04, -5.148718e+03
-5.820695e+04, -1.024009e+04, +6.737925e+04, -2.984869e+05, -5.148718e+03, +3.709697e+05

Timing offsets (from input data):
    UK002Z: 0.000000 s
    UK003F: 0.001310 s

Reference point on the trajectory:
  Time: 2021-08-13 21:57:55.598972 UTC
  Lon     = +-3.002543 +/- 0.0024 deg
  Lat     = +54.878916 +/- 0.0013 deg
  Lat geo = +54.700538 +/- 0.0013 deg
  Ht      =  104246.97 +/- 123.23 m

  JD dynamic   = 2459440.416027580854 
  LST apparent = 289.0312575899 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.71012 +/- 1.2175 deg
  Dec       = +57.01820 +/- 0.8964 deg
  Azimuth   =  33.92935 +/- 1.1878 deg
  Elevation = +32.07671 +/- 0.4522 deg
  Vavg      =  59.85219 +/- 0.7065 km/s
  Vinit     =  59.98846 +/- 0.5065 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.47505 +/- 1.2175 deg
  Dec       = +56.82866 +/- 0.8964 deg
  Azimuth   =  34.18349 +/- 1.1878 deg
  Elevation = +31.99946 +/- 0.4522 deg
  Vavg      =  59.98158 +/- 0.7065 km/s
  Vinit     =  60.11785 +/- 0.5065 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.89060 +/- 1.2076 deg
  Dec    = +56.49115 +/- 0.9059 deg
  Vg     =  58.95226 +/- 0.5152 km/s
  Vinf   =  59.98846 +/- 0.5065 km/s
  Zc     =  58.07135 +/- 0.4507 deg
  Zg     =  58.62553 +/- 0.4621 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.02892 +/- 1.0952 deg
  Bg     = +36.83830 +/- 0.6936 deg
  Vh     =  40.24340 +/- 0.8468 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  80.51919 +/- 2.5648 deg
  Bh     = +61.43749 +/- 0.4277 deg
  Vh_x   =  -3.16934 +/- 0.8723 km/s
  Vh_y   = -18.97825 +/- 0.3697 km/s
  Vh_z   = -35.34562 +/- 0.8408 km/s
Orbit:
  La Sun = 141.067396 +/- 0.0000 deg
  a      =   6.728351 +/- 99.0048 AU
  e      =   0.858440 +/- 0.0754
  i      = 115.361487 +/- 0.9233 deg
  peri   = 150.512915 +/- 1.1541 deg
  node   = 141.065533 +/- 0.0001 deg
  Pi     = 291.578448 +/- 1.1541 deg
  q      =   0.952463 +/- 0.0065 AU
  f      =  29.482850 +/- 1.1541 deg
  M      =   1.200872 +/- nan deg
  Q      =  12.504239 +/- 198.0089 AU
  n      =   0.056473 +/- 0.0224 deg/day
  T      =  17.452740 +/- 498887266.7895 years
  Last perihelion JD = 2459419.151499 (2021-07-23 15:38:09.487401) +/- 0.7293 days
  Tj     =   0.273880 +/- 0.4109
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.639040e-03, -1.453406e-04, +8.940401e-03, +3.414929e-08, -2.025639e-04, -4.223553e-04
q   , -1.453406e-04, +3.624141e-05, +3.449852e-03, -3.686648e-09, +1.228255e-04, +4.562125e-05
Tp  , +8.940401e-03, +3.449852e-03, +5.808024e-01, -1.369753e-07, +1.490649e-02, +1.697484e-03
node, +3.414929e-08, -3.686648e-09, -1.369753e-07, +8.208055e-13, -9.780306e-09, -1.017174e-08
peri, -2.025639e-04, +1.228255e-04, +1.490649e-02, -9.780306e-09, +4.572123e-04, +1.210596e-04
i   , -4.223553e-04, +4.562125e-05, +1.697484e-03, -1.017174e-08, +1.210596e-04, +1.260531e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.008970
 a2 = 34.930308

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 6.470e-06 s
  Stddev    = 2.54e-03 s

Begin point on the trajectory:
  Lon =    -3.002222 +/- 0.0024 deg
  Lat =    54.879191 +/- 0.0012 deg
  Ht  = 104270.44 +/- 116.75 m
End point on the trajectory:
  Lon =    -3.125627 +/- 0.0022 deg
  Lat =    54.774102 +/- 0.0010 deg
  Ht  = 95322.30 +/- 83.19 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
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.100418,  26.285249,   104270.44,    95322.30,          0.015329,     51.26,     42.87,              70.85, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_215753_793_0156672.fits"}
    UK003F,   False,    -1.802002,    51.351948,  130.00,   4.100680,   0.000000,   102232.75,    97126.59,          0.016338,    115.46,     22.83,              43.50, 1.0000,    True,    True, {"ff_name": "FF_UK003F_20210813_215745_600_0162048.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,     UK002Z,       0,  0.000000, 2459440.415226839948, 180.81972,  43.36216,              312.19290,  23.48762,       312.19909,       23.47676,    180.81972,     +43.36216,     180.80417,      +43.35696,  1218797.42, -3533317.46,  5278988.36,      54.879191,       -3.002222,  104270.44,  251383.89,       0.00,               44.20,     1.63,      0.00,           61012.44,     34.49,     41.24,          44.11,  +1.73,  -0.27
  1,     UK002Z,       0,  0.040388, 2459440.415227307472, 181.08063,  42.86957,              311.70293,  23.21093,       311.69087,       23.23196,    181.08063,     +42.86957,     181.10992,      +42.87960,  1217929.36, -3534305.90,  5276961.26,      54.864170,       -3.019909,  102987.41,  250651.58,    2416.54,             2372.34,   -93.05,  59833.17,           61012.44,    -66.67,    -79.81,          85.58,  +1.38,  -0.62
  2,     UK002Z,       0,  0.080756, 2459440.415227774996, 181.46003,  42.38459,              311.14209,  22.99408,       311.15529,       22.97122,    181.46003,     +42.38459,     181.42824,      +42.37376,  1217016.36, -3535345.52,  5274829.20,      54.848363,       -3.038495,  101638.64,  249903.96,    4958.21,             4914.01,    27.00,  62962.53,           61012.44,     72.49,     86.63,          93.23,  +0.65,  -1.34
  3,     UK002Z,       0,  0.121132, 2459440.415228242055, 181.74364,  41.89710,              310.63998,  22.73368,       310.64720,       22.72125,    181.74364,     +41.89710,     181.72663,      +41.89125,  1216152.05, -3536329.69,  5272810.85,      54.833390,       -3.056093,  100362.44,  249218.54,    7364.32,             7320.12,    11.02,  59592.58,           61012.44,     39.33,     47.02,          50.74,  +0.15,  -1.83
  4,     UK002Z,       0,  0.161516, 2459440.415228709579, 182.01968,  41.40372,              310.13848,  22.46607,       310.13741,       22.46791,    182.01968,     +41.40372,     182.02260,      +41.40458,  1215286.35, -3537315.45,  5270789.26,      54.818384,       -3.073713,   99084.82,  248553.57,    9774.30,             9730.09,    -1.58,  59676.42,           60668.19,     -5.81,     -6.95,           7.52,  -0.19,  -2.17
  5,     UK002Z,       0,  0.201896, 2459440.415229177102, 182.31640,  40.90384,              309.61896,  22.20365,       309.61714,       22.20675,    182.31640,     +40.90384,     182.32122,      +40.90528,  1214404.22, -3538319.91,  5268729.29,      54.803085,       -3.091658,   97783.60,  247898.19,   12230.02,            12185.81,    31.80,  60815.30,           60590.86,     -9.79,    -11.71,          12.70,  -0.30,  -2.27
  6,     UK002Z,       0,  0.242244, 2459440.415229643695, 182.61553,  40.44287,              309.12280,  21.97430,       309.13105,       21.96036,    182.61553,     +40.44287,     182.59716,      +40.43641,  1213581.39, -3539256.86,  5266807.80,      54.788807,       -3.108402,   96570.44,  247307.90,   14520.66,            14476.46,   -97.97,  56772.13,           60154.43,     44.04,     52.64,          57.24,  -0.00,  -1.97
  7,     UK002Z,       0,  0.282616, 2459440.415230111219, 182.88363,  39.95289,              308.62752,  21.70848,       308.63015,       21.70406,    182.88363,     +39.95289,     182.87849,      +39.95086,  1212734.43, -3540221.27,  5264829.98,      54.774102,       -3.125627,   95322.30,  246720.92,   16878.45,            16834.25,  -162.03,  58401.63,           59826.49,     13.95,     16.68,          18.18,  +0.91,  -1.05
  0,     UK003F,       0,  0.064276, 2459440.415227643680, 127.78167,  50.04710,              348.56093,  12.49223,       348.57450,       12.46888,    127.78167,     +50.04710,     127.75442,      +50.02673,  1217418.58, -3534887.52,  5275768.47,      54.855328,       -3.030335,  102232.75,  414353.74,       0.00,             3794.28,  -104.10,      0.00,           63444.78,     37.68,    190.47,          96.65,  +1.26,  -1.83
  1,     UK003F,       0,  0.104436, 2459440.415228108410, 128.02218,  49.86819,              348.36995,  12.34677,       348.36585,       12.35381,    128.02218,     +49.86819,     128.03057,      +49.87431,  1216564.53, -3535860.01,  5273774.09,      54.840537,       -3.047728,  100971.41,  412673.03,    2377.54,             6171.82,  -135.69,  59201.81,           63444.78,    -11.27,    -57.20,          29.14,  +1.20,  -1.88
  2,     UK003F,       0,  0.144568, 2459440.415228573140, 128.35081,  49.72505,              348.12822,  12.24823,       348.13961,       12.22868,    128.35081,     +49.72505,     128.32826,      +49.70810,  1215645.00, -3536907.06,  5271626.77,      54.824602,       -3.066435,   99614.04,  410871.02,    4937.40,             8731.68,    16.70,  63785.83,           63444.78,     31.29,    158.24,          80.98,  +0.17,  -2.90
  3,     UK003F,       0,  0.184744, 2459440.415229037870, 128.63969,  49.52837,              347.90038,  12.09300,       347.89906,       12.09527,    128.63969,     +49.52837,     128.64285,      +49.53033,  1214674.73, -3538011.89,  5269360.98,      54.807778,       -3.086158,   98182.56,  408978.30,    7638.49,            11432.76,   307.69,  67231.37,           63444.78,     -3.60,    -18.26,           9.39,  +0.08,  -2.98
  4,     UK003F,       0,  0.224856, 2459440.415229502134, 128.88143,  49.40187,              347.71683,  12.00102,       347.71986,       11.99585,    128.88143,     +49.40187,     128.87603,      +49.39742,  1213958.65, -3538827.28,  5267688.79,      54.795354,       -3.100752,   97126.59,  407587.96,    9631.94,            13426.22,  -105.11,  49697.20,           61088.32,      8.20,     41.56,          21.44,  +1.21,  -1.84

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.