Orbital Analysis for matched events on 20210813_002002.381_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.98° Bg 38.94° Vg 66.36km/s
mass 0.00486g, abs. mag 0.7
Path Details
------------
start -1.68° 50.90° 117.95km
end   -1.76° 50.85° 110.47km

Orbit Details
-------------
Semimajor axis -1.61A.U., eccentricity 1.60, inclination 116.65°, Period 1000000000.00Y, LA Sun 140.20°, 

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: 2459439.513916449621
Time: 2021-08-13 00:20:02.381247 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0022 and UK0038
 Convergence angle = 44.57670 deg
 R.A. =  46.97417  Dec = +58.33614 deg

Best intersection: Stations UK0022 and UK0038 with Qconv = 44.58 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3362686.17 +/- 49.57 m
 Y =  -2355018.73 +/- 54.81 m
 Z =   5018009.50 +/- 52.25 m
 Vx =    23671.47 +/- 476.09 m/s
 Vy =    25724.49 +/- 550.37 m/s
 Vz =    57482.17 +/- 396.81 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK0022: 0.000000 s
    UK0038: 0.000176 s

Reference point on the trajectory:
  Time: 2021-08-13 00:20:02.381247 UTC
  Lon     = +-1.678738 +/- 0.0005 deg
  Lat     = +50.897767 +/- 0.0005 deg
  Lat geo = +50.712711 +/- 0.0005 deg
  Ht      =  118029.48 +/- 63.48 m

  JD dynamic   = 2459439.514717190526 
  LST apparent = 324.9949637180 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.37999 +/- 0.8611 deg
  Dec       = +58.69369 +/- 0.2044 deg
  Azimuth   =  46.69401 +/- 0.3342 deg
  Elevation = +44.94784 +/- 0.4308 deg
  Vavg      =  63.98015 +/- 0.2271 km/s
  Vinit     =  67.27769 +/- 0.3190 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.44446 +/- 0.8611 deg
  Dec       = +58.47826 +/- 0.2044 deg
  Azimuth   =  46.93996 +/- 0.3342 deg
  Elevation = +44.81680 +/- 0.4308 deg
  Vavg      =  64.13482 +/- 0.2271 km/s
  Vinit     =  67.43236 +/- 0.3190 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.51427 +/- 0.8664 deg
  Dec    = +58.45861 +/- 0.2067 deg
  Vg     =  66.35759 +/- 0.3234 km/s
  Vinf   =  67.27769 +/- 0.3190 km/s
  Zc     =  45.17925 +/- 0.4311 deg
  Zg     =  45.50750 +/- 0.4374 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.98358 +/- 0.5255 deg
  Bg     = +38.93991 +/- 0.2850 deg
  Vh     =  47.96944 +/- 0.3462 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.15267 +/- 1.1796 deg
  Bh     = +60.39355 +/- 0.3407 deg
  Vh_x   =  -4.86547 +/- 0.4739 km/s
  Vh_y   = -23.19398 +/- 0.1821 km/s
  Vh_z   = -41.70652 +/- 0.4286 km/s
Orbit:
  La Sun = 140.201863 +/- -0.0000 deg
  a      =  -1.613016 +/- 0.0796 AU
  e      =   1.600758 +/- 0.0396
  i      = 116.653885 +/- 0.2624 deg
  peri   = 158.295103 +/- 1.1422 deg
  node   = 140.200830 +/- 0.0000 deg
  Pi     = 298.495934 +/- 1.1422 deg
  q      =   0.969032 +/- 0.0039 AU
  f      =  21.700900 +/- 1.1422 deg
  M      =        nan +/- nan deg
  Q      =  -4.195063 +/- 0.1554 AU
  n      =   0.481112 +/- 0.0468 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -3.850771 +/- 0.2019
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

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: UK0022
  Avg. res. = 1.841e-06 s
  Stddev    = 1.36e-03 s

Begin point on the trajectory:
  Lon =    -1.679508 +/- 0.0003 deg
  Lat =    50.897308 +/- 0.0003 deg
  Ht  = 117953.80 +/- 54.63 m
End point on the trajectory:
  Lon =    -1.756351 +/- 0.0002 deg
  Lat =    50.851844 +/- 0.0003 deg
  Ht  = 110474.12 +/- 29.97 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
    UK0022,   False,    -0.848117,    51.261084,   92.00,   0.000000,   0.000000,   117953.80,   110474.12,          0.017442,     29.99,     28.77,              75.35, 1.0000,    True,    True, {"ff_name": "FF_UK0022_20210813_002000_013_0130816.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   116435.13,   111010.24,          0.009254,     21.73,      0.33,              52.08, 1.0000,   False,    True, {"ff_name": "FF_UK0038_20210813_001953_796_0368384.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,     UK0022,       0,  0.000000, 2459439.513916449621, 296.36246,  28.60583,              235.51455,  58.40670,       235.53817,       58.40541,    296.36246,     +28.60583,     296.35019,      +28.61205,  3362648.48, -2355059.69,  5017917.97,      50.897308,       -1.679508,  117953.80,  137901.83,       0.00,              107.13,   239.72,      0.00,           64303.57,     20.71,    -21.62,          44.78,  +5.82,  +5.12
  1,     UK0022,       0,  0.041128, 2459439.513916925527, 295.63061,  27.48764,              235.27434,  57.12176,       235.29666,       57.12053,    295.63061,     +27.48764,     295.61885,      +27.49367,  3361529.44, -2356275.79,  5015200.56,      50.883675,       -1.702543,  115707.27,  137161.15,    3180.48,             3287.61,   653.20,  77331.26,           64303.57,     20.17,    -21.05,          43.84,  +2.28,  +1.59
  2,     UK0022,       0,  0.081872, 2459439.513917397242, 295.12792,  26.76069,              235.17490,  56.26991,       235.14812,       56.27138,    295.12792,     +26.76069,     295.14283,      +26.75334,  3360797.44, -2357071.27,  5013423.03,      50.874749,       -1.717669,  114238.16,  136716.50,    5260.92,             5368.05,    -7.52,  51061.21,           64303.57,    -24.68,     25.73,          53.79,  +2.01,  +1.33
  3,     UK0022,       0,  0.122892, 2459439.513917871751, 294.47402,  25.75524,              235.00733,  55.10978,       234.95379,       55.11273,    294.47402,     +25.75524,     294.50436,      +25.74023,  3359805.16, -2358149.61,  5011013.44,      50.862640,       -1.738117,  112247.19,  136160.54,    8081.12,             8188.25,    52.95,  68751.94,           64303.57,    -50.64,     52.76,         110.78,  +2.16,  +1.49
  4,     UK0022,       0,  0.163808, 2459439.513918345328, 293.93276,  24.83200,              234.80106,  54.07172,       234.78931,       54.07237,    293.93276,     +24.83200,     293.94012,      +24.82865,  3358921.23, -2359110.20,  5008866.98,      50.851844,       -1.756351,  110474.12,  135713.54,   10593.37,            10700.49,  -187.54,  61400.00,           63728.27,    -11.36,     11.84,          24.93,  +2.61,  +1.95
  0,     UK0038,       0,  0.028325, 2459439.513916775119, 347.55030,  24.72984,              137.44411,  57.97621,       137.44031,       57.97248,    347.55030,     +24.72984,     347.55429,      +24.72747,  3361892.04, -2355881.74,  5016081.09,      50.888094,       -1.695080,  116435.13,  136660.62,       0.00,             2257.03,   484.00,      0.00,           62848.29,      0.16,     10.11,          15.26,  +1.40,  +0.72
  1,     UK0038,       0,  0.068757, 2459439.513917243108, 347.02141,  24.03369,              138.84472,  57.57752,       138.83363,       57.56701,    347.02141,     +24.03369,     347.03268,      +24.02698,  3361020.00, -2356829.41,  5013963.48,      50.877464,       -1.713066,  114684.81,  135197.38,    2478.46,             4735.50,   242.29,  61299.50,           62848.29,      0.44,     28.49,          43.47,  +1.40,  +0.75
  2,     UK0038,       0,  0.109189, 2459439.513917711098, 346.51425,  23.34585,              140.18186,  57.16635,       140.16953,       57.15505,    346.51425,     +23.34585,     346.52662,      +23.33859,  3360182.86, -2357739.16,  5011930.62,      50.867251,       -1.730341,  113004.95,  133820.87,    4857.74,             7114.78,   -98.59,  58846.54,           62848.29,      0.47,     30.65,          47.25,  +1.52,  +0.89
  3,     UK0038,       0,  0.149729, 2459439.513918180019, 345.92164,  22.49885,              141.74791,  56.63346,       141.75036,       56.63562,    345.92164,     +22.49885,     345.91996,      +22.50025,  3359188.53, -2358819.73,  5009516.06,      50.855110,       -1.750829,  111010.24,  132223.93,    7683.77,             9940.80,    -0.01,  69709.49,           62848.29,     -0.09,     -5.89,           9.19,  +2.02,  +1.41

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.