Orbital Analysis for matched events on 20210810_010806.732_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 58.15° Bg 36.13° Vg 60.92km/s
mass 0.02028g, abs. mag -0.6
Path Details
------------
start -3.49° 49.67° 110.81km
end   -3.62° 49.61° 97.85km

Orbit Details
-------------
Semimajor axis 42.10A.U., eccentricity 0.98, inclination 117.81°, Period 273.12Y, LA Sun 137.35°, 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: 2459436.547300149221
Time: 2021-08-10 01:08:06.732893 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK003C
 Convergence angle = 33.39212 deg
 R.A. =  43.81919  Dec = +54.84070 deg

Best intersection: Stations UK0021 and UK003C with Qconv = 33.39 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3724770.09 +/- 104.21 m
 Y =  -1956996.02 +/- 35.82 m
 Z =   4923732.27 +/- 48.11 m
 Vx =    26320.78 +/- 612.73 m/s
 Vy =    24241.23 +/- 316.56 m/s
 Vz =    50541.13 +/- 356.05 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.182761e+04, -1.596763e+03, +1.244650e+03, +6.434869e+04, -1.100378e+04, +9.927629e+02
-1.596763e+03, +1.444932e+03, +8.600408e+02, -1.182022e+04, +3.783347e+03, -2.692726e+03
+1.244650e+03, +8.600408e+02, +2.348509e+03, +5.209416e+03, -2.822272e+03, -3.958713e+01
+6.434869e+04, -1.182022e+04, +5.209416e+03, +3.941044e+05, -7.295587e+04, +8.716429e+03
-1.100378e+04, +3.783347e+03, -2.822272e+03, -7.295587e+04, +2.858048e+04, -8.392293e+03
+9.927629e+02, -2.692726e+03, -3.958713e+01, +8.716429e+03, -8.392293e+03, +1.339503e+04

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK003C: -0.000367 s

Reference point on the trajectory:
  Time: 2021-08-10 01:08:06.732893 UTC
  Lon     = +-3.485329 +/- 0.0006 deg
  Lat     = +49.671134 +/- 0.0007 deg
  Lat geo = +49.484412 +/- 0.0007 deg
  Ht      =  110838.38 +/- 79.17 m

  JD dynamic   = 2459436.548100890126 
  LST apparent = 332.2825420138 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  42.64483 +/- 0.8264 deg
  Dec       = +54.70162 +/- 0.2836 deg
  Azimuth   =  55.06501 +/- 0.6452 deg
  Elevation = +48.40585 +/- 0.3371 deg
  Vavg      =  61.52325 +/- 0.2976 km/s
  Vinit     =  61.92597 +/- 0.2226 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  42.80862 +/- 0.8264 deg
  Dec       = +54.48388 +/- 0.2836 deg
  Azimuth   =  55.30840 +/- 0.6452 deg
  Elevation = +48.23201 +/- 0.3371 deg
  Vavg      =  61.69076 +/- 0.2976 km/s
  Vinit     =  62.09349 +/- 0.2226 km/s
Radiant (geocentric, J2000):
  R.A.   =  42.81751 +/- 0.8352 deg
  Dec    = +54.47265 +/- 0.2820 deg
  Vg     =  60.92406 +/- 0.2263 km/s
  Vinf   =  61.92597 +/- 0.2226 km/s
  Zc     =  41.70131 +/- 0.3387 deg
  Zg     =  42.05726 +/- 0.3443 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  58.14793 +/- 0.6654 deg
  Bg     = +36.12862 +/- 0.1447 deg
  Vh     =  41.58281 +/- 0.1304 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  72.58978 +/- 1.6659 deg
  Bh     = +59.75335 +/- 0.1682 deg
  Vh_x   =  -6.26734 +/- 0.5961 km/s
  Vh_y   = -19.98662 +/- 0.1364 km/s
  Vh_z   = -35.92193 +/- 0.1401 km/s
Orbit:
  La Sun = 137.354518 +/- -0.0000 deg
  a      =  42.095120 +/- 60.2183 AU
  e      =   0.977041 +/- 0.0116
  i      = 117.809490 +/- 0.4078 deg
  peri   = 154.904702 +/- 1.6318 deg
  node   = 137.353637 +/- 0.0000 deg
  Pi     = 292.258338 +/- 1.6318 deg
  q      =   0.966466 +/- 0.0064 AU
  f      =  25.091282 +/- 1.6318 deg
  M      =   0.064107 +/- 0.0627 deg
  Q      =  83.223773 +/- 120.4330 AU
  n      =   0.003609 +/- 0.0030 deg/day
  T      = 273.116700 +/- 1042.3318 years
  Last perihelion JD = 2459418.783653 (2021-07-23 06:48:27.617663) +/- 1.0780 days
  Tj     =  -0.441740 +/- 0.0699
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.573366e-04, +5.355629e-05, +1.019599e-02, -3.074191e-09, +2.554273e-04, +3.931572e-05
q   , +5.355629e-05, +4.522070e-05, +7.594566e-03, -3.447579e-09, +2.008895e-04, +4.425017e-05
Tp  , +1.019599e-02, +7.594566e-03, +1.291555e+00, -5.710259e-07, +3.397712e-02, +7.326527e-03
node, -3.074191e-09, -3.447579e-09, -5.710259e-07, +3.417241e-13, -1.523046e-08, -4.383177e-09
peri, +2.554273e-04, +2.008895e-04, +3.397712e-02, -1.523046e-08, +8.960084e-04, +1.954413e-04
i   , +3.931572e-05, +4.425017e-05, +7.326527e-03, -4.383177e-09, +1.954413e-04, +5.622310e-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: UK0021
  Avg. res. = 7.926e-06 s
  Stddev    = 2.82e-03 s

Begin point on the trajectory:
  Lon =    -3.485658 +/- 0.0004 deg
  Lat =    49.670985 +/- 0.0007 deg
  Ht  = 110805.25 +/- 58.40 m
End point on the trajectory:
  Lon =    -3.615386 +/- 0.0003 deg
  Lat =    49.612574 +/- 0.0006 deg
  Ht  = 97854.06 +/- 40.15 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000911,  46.398202,   110805.25,    97854.06,          0.019474,     53.28,      5.42,              75.92, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210810_010801_644_0426496.fits"}
    UK003C,   False,    -4.949858,    50.224871,   55.00,  14.988946,   3.761140,   108548.38,    99203.51,          0.012101,     29.50,     15.59,              46.03, 1.0000,    True,    True, {"ff_name": "FF_UK003C_20210810_010800_920_0422144.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,     UK0021,       0,  0.000000, 2459436.547300149221, 333.02333,   4.23857,              178.93921,  43.54205,       178.90514,       43.52487,    333.02333,      +4.23857,     333.04814,       +4.22168,  3724751.26, -1957013.36,  4923696.11,      49.670985,       -3.485658,  110805.25,  159376.39,       0.00,               44.30,  -179.60,      0.00,           63609.82,     -8.50,     83.26,         108.32,  +1.90,  +0.89
  1,     UK0021,       0,  0.040760, 2459436.547300620936, 332.54333,   3.45710,              179.60432,  42.76447,       179.62157,       42.77312,    332.54333,      +3.45710,     332.53061,       +3.46570,  3723637.70, -1958038.94,  4921557.85,      49.662179,       -3.505246,  108846.10,  158712.73,    2619.92,             2664.23,   -83.78,  64276.78,           63609.82,      4.28,    -42.25,          55.19,  +1.30,  +0.30
  2,     UK0021,       0,  0.081508, 2459436.547301092651, 331.99720,   2.71897,              180.34304,  42.02649,       180.32180,       42.01590,    331.99720,      +2.71897,     332.01313,       +2.70832,  3722531.49, -1959057.75,  4919433.70,      49.653422,       -3.524712,  106900.32,  158093.88,    5222.55,             5266.86,    -4.51,  63871.44,           63609.82,     -5.32,     52.15,          68.40,  +0.96,  -0.03
  3,     UK0021,       0,  0.122256, 2459436.547301564366, 331.49281,   1.96676,              181.00993,  41.27053,       180.99710,       41.26417,    331.49281,      +1.96676,     331.50273,       +1.96030,  3721447.40, -1960056.19,  4917352.04,      49.644833,       -3.543795,  104993.91,  157526.98,    7773.13,             7817.43,    22.71,  62593.77,           63609.82,     -3.22,     31.58,          41.57,  +0.94,  -0.05
  4,     UK0021,       0,  0.163016, 2459436.547302036081, 330.98896,   1.20805,              181.66125,  40.50445,       181.66076,       40.50421,    330.98896,      +1.20805,     330.98985,       +1.20780,  3720364.61, -1961053.43,  4915272.86,      49.636245,       -3.562861,  103090.18,  157000.28,   10320.66,            10364.97,    46.14,  62500.90,           63295.11,     -0.12,      1.21,           1.60,  +0.90,  -0.08
  5,     UK0021,       0,  0.203760, 2459436.547302507795, 330.50572,   0.45905,              182.27173,  39.74512,       182.29589,       39.75699,    330.50572,      +0.45905,     330.48814,       +0.47139,  3719311.81, -1962023.05,  4913251.29,      49.627888,       -3.581407,  101239.61,  156526.44,   12797.61,            12841.92,    -0.02,  60793.05,           62847.85,      6.08,    -59.91,          79.35,  +0.64,  -0.33
  6,     UK0021,       0,  0.244496, 2459436.547302979045, 329.99807,  -0.26298,              182.90148,  39.00887,       182.91142,       39.01373,    329.99807,      -0.26298,     329.99137,       -0.25787,  3718275.30, -1962977.67,  4911260.97,      49.619653,       -3.599673,   99418.05,  156097.13,   15236.27,            15280.57,   -83.98,  59864.81,           62368.63,      2.52,    -24.73,          32.85,  +0.68,  -0.29
  7,     UK0021,       0,  0.285136, 2459436.547303449363, 329.58486,  -0.90332,              183.40190,  38.35452,       183.43310,       38.36973,    329.58486,      -0.90332,     329.56201,       -0.88720,  3717385.18, -1963797.46,  4909551.77,      49.612574,       -3.615386,   97854.06,  155758.21,   17330.48,            17374.78,  -506.44,  51530.79,           61268.47,      7.91,    -77.91,         103.71,  +2.00,  +1.04
  0,     UK003C,       0,  0.045628, 2459436.547300599981,  12.97818,  15.01908,              120.67012,  41.08774,       120.67391,       41.09234,     12.97818,     +15.01908,      12.97304,      +15.02124,  3723468.46, -1958194.81,  4921232.86,      49.660840,       -3.508191,  108548.38,  163288.71,       0.00,             3062.42,    12.97,      0.00,           59657.92,     -7.21,    -13.64,          19.48,  +2.62,  +1.56
  1,     UK003C,       0,  0.085796, 2459436.547301064711,  12.68882,  14.40081,              121.43887,  40.73690,       121.43752,       40.73529,     12.68882,     +14.40081,      12.69080,      +14.40005,  3722337.11, -1959236.78,  4919060.45,      49.651883,       -3.528092,  106558.46,  161438.49,    2661.77,             5724.19,   187.30,  66266.01,           59657.92,      2.52,      4.76,           6.88,  +1.34,  +0.30
  2,     UK003C,       0,  0.125956, 2459436.547301529907,  12.47966,  13.88121,              122.04377,  40.42060,       122.05913,       40.43881,     12.47966,     +13.88121,      12.45953,      +13.88978,  3721426.87, -1960075.10,  4917312.61,      49.644670,       -3.544141,  104957.80,  159965.13,    4803.32,             7865.74,  -158.10,  53325.42,           59657.92,    -28.26,    -53.40,          77.90,  +1.02,  -0.00
  3,     UK003C,       0,  0.166112, 2459436.547301994637,  12.19244,  13.28783,              122.77991,  40.08239,       122.78261,       40.08555,     12.19244,     +13.28783,      12.18938,      +13.28933,  3720377.35, -1961041.70,  4915297.32,      49.636347,       -3.562623,  103112.57,  158286.66,    7272.58,            10335.00,  -175.53,  61491.72,           59657.92,     -4.88,     -9.24,          13.62,  +0.87,  -0.13
  4,     UK003C,       0,  0.206292, 2459436.547302459367,  11.90782,  12.64866,              123.53978,  39.70084,       123.54339,       39.70502,     11.90782,     +12.64866,      11.90377,      +12.65064,  3719285.30, -1962047.47,  4913200.38,      49.627678,       -3.581852,  101193.01,  156562.96,    9841.88,            12904.29,   -94.43,  63944.58,           60487.92,     -6.40,    -12.12,          18.05,  +0.37,  -0.60
  5,     UK003C,       0,  0.246464, 2459436.547302924562,  11.58458,  11.98049,              124.35386,  39.31141,       124.34054,       39.29620,     11.58458,     +11.98049,      11.60269,      +11.97325,  3718153.20, -1963090.12,  4911026.52,      49.618682,       -3.601785,   99203.51,  154801.28,   12505.41,            15567.83,    81.42,  66303.33,           61555.95,     23.18,     43.93,          66.18,  +0.75,  -0.20

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.