Orbital Analysis for matched events on 20210813_002631.456_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.90° Bg 38.68° Vg 62.36km/s
mass 0.00464g, abs. mag 0.8
Path Details
------------
start -1.38° 51.80° 107.51km
end   -1.50° 51.74° 95.85km

Orbit Details
-------------
Semimajor axis -4.37A.U., eccentricity 1.22, inclination 114.90°, Period 1000000000.00Y, LA Sun 140.21°, 

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: 2459439.518419635948
Time: 2021-08-13 00:26:31.456546 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK002W
 Convergence angle = 67.60688 deg
 R.A. =  47.41004  Dec = +57.77701 deg

Best intersection: Stations UK000S and UK002W with Qconv = 67.61 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3367314.93 +/- 23.66 m
 Y =  -2193282.17 +/- 44.27 m
 Z =   5073988.12 +/- 158.25 m
 Vx =    22444.75 +/- 820.57 m/s
 Vy =    24395.53 +/- 567.68 m/s
 Vz =    53971.97 +/- 1043.60 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):
    UK000S: 0.000000 s
    UK002W: 0.005696 s

Reference point on the trajectory:
  Time: 2021-08-13 00:26:31.456546 UTC
  Lon     = +-1.377277 +/- 0.0006 deg
  Lat     = +51.804692 +/- 0.0010 deg
  Lat geo = +51.620636 +/- 0.0010 deg
  Ht      =  107589.37 +/- 114.88 m

  JD dynamic   = 2459439.519220376853 
  LST apparent = 326.9220102651 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.38484 +/- 0.4277 deg
  Dec       = +58.44159 +/- 0.5488 deg
  Azimuth   =  48.36897 +/- 0.8402 deg
  Elevation = +46.32739 +/- 0.1239 deg
  Vavg      =  65.39230 +/- 0.6355 km/s
  Vinit     =  63.33942 +/- 0.8493 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.46803 +/- 0.4277 deg
  Dec       = +58.21934 +/- 0.5488 deg
  Azimuth   =  48.62272 +/- 0.8402 deg
  Elevation = +46.18414 +/- 0.1239 deg
  Vavg      =  65.54404 +/- 0.6355 km/s
  Vinit     =  63.49116 +/- 0.8493 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.56801 +/- 0.4308 deg
  Dec    = +58.19194 +/- 0.5534 deg
  Vg     =  62.35960 +/- 0.8625 km/s
  Vinf   =  63.33942 +/- 0.8493 km/s
  Zc     =  43.79506 +/- 0.1227 deg
  Zg     =  44.15409 +/- 0.1315 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.89965 +/- 0.5014 deg
  Bg     = +38.67985 +/- 0.4524 deg
  Vh     =  44.20491 +/- 0.9303 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  80.06596 +/- 1.2568 deg
  Bh     = +61.84188 +/- 0.3876 deg
  Vh_x   =  -3.59875 +/- 0.5035 km/s
  Vh_y   = -20.54782 +/- 0.5123 km/s
  Vh_z   = -38.97320 +/- 0.8096 km/s
Orbit:
  La Sun = 140.206187 +/- 0.0000 deg
  a      =  -4.370395 +/- 2.4770 AU
  e      =   1.220197 +/- 0.0897
  i      = 114.900435 +/- 0.6094 deg
  peri   = 155.311933 +/- 0.9029 deg
  node   = 140.205342 +/- 0.0000 deg
  Pi     = 295.517275 +/- 0.9029 deg
  q      =   0.962346 +/- 0.0028 AU
  f      =  24.684135 +/- 0.9030 deg
  M      =        nan +/- nan deg
  Q      =  -9.703135 +/- 4.9536 AU
  n      =   0.107876 +/- 0.0659 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.730358 +/- 0.4944
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: UK000S
  Avg. res. = 3.073e-06 s
  Stddev    = 1.75e-03 s

Begin point on the trajectory:
  Lon =    -1.378107 +/- 0.0004 deg
  Lat =    51.804235 +/- 0.0009 deg
  Ht  = 107507.79 +/- 104.55 m
End point on the trajectory:
  Lon =    -1.497780 +/- 0.0038 deg
  Lat =    51.738647 +/- 0.0007 deg
  Ht  = 95849.20 +/- 245.76 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   107507.79,    98495.75,          0.006813,      9.42,     14.73,              23.89, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210813_002631_268_0357120.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,   105760.98,    95849.20,          0.046339,    102.06,      8.86,               7.29, 1.0000,    True,    True, {"ff_name": "FF_UK002W_20210813_002628_469_0378112.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,     UK000S,       0,  0.000000, 2459439.518419635948,  86.02888,  77.88751,               14.67435,  43.87372,        14.67265,       43.87810,     86.02888,     +77.88751,      86.01673,      +77.89128,  3367274.96, -2193325.61,  5073892.01,      51.804235,       -1.378107,  107507.79,  153705.59,       0.00,              112.79,   208.26,      0.00,           61799.81,    -10.28,     -6.59,          16.39,  +3.42,  +2.49
  1,     UK000S,       0,  0.040136, 2459439.518420100678,  87.43057,  78.08458,               14.20316,  43.78206,        14.20224,       43.78439,     87.43057,     +78.08458,      87.42438,      +78.08663,  3366447.73, -2194224.74,  5071902.81,      51.794766,       -1.395455,  105819.49,  151561.13,    2334.45,             2447.24,     0.52,  58163.59,           61799.81,     -5.41,     -3.47,           8.75,  +1.88,  +0.98
  2,     UK000S,       0,  0.080280, 2459439.518420564942,  89.03144,  78.30553,               13.67266,  43.68648,        13.67654,       43.67685,     89.03144,     +78.30553,      89.05737,      +78.29695,  3365546.24, -2195204.59,  5069735.03,      51.784438,       -1.414346,  103980.07,  149231.05,    4878.48,             4991.27,     1.85,  63372.51,           61799.81,     22.02,     14.09,          36.13,  +1.63,  +0.76
  3,     UK000S,       0,  0.120448, 2459439.518421030138,  90.80731,  78.50202,               13.13702,  43.56130,        13.13616,       43.56337,     90.80731,     +78.50202,      90.80249,      +78.50390,  3364644.71, -2196184.46,  5067567.17,      51.774100,       -1.433241,  102141.05,  146908.18,    7422.59,             7535.38,     1.75,  63336.85,           61799.81,     -4.67,     -2.99,           7.79,  +1.55,  +0.71
  4,     UK000S,       0,  0.160596, 2459439.518421494868,  92.57478,  78.70972,               12.59497,  43.45882,        12.59960,       43.44781,     92.57478,     +78.70972,      92.60274,      +78.69953,  3363773.95, -2197130.92,  5065473.27,      51.764108,       -1.451499,  100365.19,  144671.76,    9879.91,             9992.70,   -83.88,  61206.52,           61887.32,     24.48,     15.65,          41.42,  +1.37,  +0.57
  5,     UK000S,       0,  0.200780, 2459439.518421959598,  94.63505,  78.89581,               12.02065,  43.31576,        12.01911,       43.31934,     94.63505,     +78.89581,      94.62746,      +78.89919,  3362857.06, -2198127.49,  5063268.47,      51.753576,       -1.470716,   98495.75,  142325.07,   12467.39,            12580.17,   -41.64,  64390.60,           62270.25,     -7.85,     -5.02,          13.51,  +1.49,  +0.72
  0,     UK002W,       0,  0.039488, 2459439.518419875763,  33.81919,  56.53819,               54.92462,  51.37586,        54.86402,       51.41034,     33.81919,     +56.53819,      33.78705,      +56.58618,  3366419.06, -2194255.91,  5071833.85,      51.794437,       -1.395969,  105760.98,  134550.45,       0.00,             2528.16,   122.50,      0.00,           62699.23,      9.12,   -119.81,         184.20,  +3.10,  +2.46
  1,     UK002W,       0,  0.079404, 2459439.518420337699,  33.56704,  56.54488,               54.99826,  51.50725,        54.99631,       51.50835,     33.56704,     +56.54488,      33.56628,      +56.54642,  3365622.27, -2195121.95,  5069917.86,      51.785309,       -1.412685,  104135.19,  132315.64,    2248.54,             4776.70,  -157.22,  56331.84,           62699.23,      0.31,     -3.77,           5.90,  +2.79,  +2.18
  2,     UK002W,       0,  0.119380, 2459439.518420800567,  33.32537,  56.45606,               55.21087,  51.59783,        55.15930,       51.62713,     33.32537,     +56.45606,      33.29816,      +56.49670,  3364685.21, -2196140.45,  5067664.55,      51.774565,       -1.432317,  102223.64,  129689.29,    4892.94,             7421.10,   -44.88,  66149.61,           62699.23,      7.69,    -97.95,         156.27,  +2.64,  +2.08
  3,     UK002W,       0,  0.159288, 2459439.518421262037,  33.02714,  56.44530,               55.32578,  51.74683,        55.32506,       51.74724,     33.02714,     +56.44530,      33.02734,      +56.44587,  3363773.66, -2197131.23,  5065472.58,      51.764104,       -1.451420,  100364.61,  127135.24,    7465.35,             9993.51,    -0.22,  64458.58,           62699.23,      0.11,     -1.34,           2.18,  +1.70,  +1.18
  4,     UK002W,       0,  0.199152, 2459439.518421723507,  32.63895,  56.45654,               55.43687,  51.95041,        55.53474,       51.89654,     32.63895,     +56.45654,      32.69015,      +56.38061,  3362682.05, -2198317.71,  5062847.63,      51.751565,       -1.474267,   98139.00,  124079.18,   10545.89,            13074.05,   555.36,  77276.11,           65900.11,    -16.62,    174.40,         291.23,  +1.64,  +1.17
  5,     UK002W,       0,  0.239172, 2459439.518422186840,  32.35381,  56.26896,               55.81438,  52.02846,        55.76330,       52.05756,     32.35381,     +56.26896,      32.32674,      +56.30887,  3361558.61, -2199538.80,  5060146.13,      51.738647,       -1.497780,   95849.20,  120935.76,   13716.26,            16244.42,  1190.89,  79219.74,           68723.51,      7.27,    -90.10,         154.17,  +4.35,  +3.94

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.