Orbital Analysis for matched events on 20210813_234636.028_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 66.78° Bg 37.90° Vg 59.87km/s
mass 0.00449g, abs. mag 0.9
Path Details
------------
start -2.48° 50.11° 107.72km
end   -2.58° 50.04° 98.74km

Orbit Details
-------------
Semimajor axis -63.23A.U., eccentricity 1.01, inclination 113.64°, Period 1000000000.00Y, LA Sun 141.14°, 

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: 2459440.490694771986
Time: 2021-08-13 23:46:36.028300 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 11.16336 deg
 R.A. =  51.75198  Dec = +58.76691 deg

Best intersection: Stations UK000H and UK002D with Qconv = 11.16 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3037793.49 +/- 147.60 m
 Y =  -2852695.49 +/- 275.20 m
 Z =   4953616.70 +/- 68.93 m
 Vx =    18891.13 +/- 1020.42 m/s
 Vy =    25285.22 +/- 1951.43 m/s
 Vz =    52069.31 +/- 541.04 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK002D: 0.000124 s

Reference point on the trajectory:
  Time: 2021-08-13 23:46:36.028300 UTC
  Lon     = +-2.476815 +/- 0.0014 deg
  Lat     = +50.113893 +/- 0.0016 deg
  Lat geo = +49.927569 +/- 0.0016 deg
  Ht      =  107721.06 +/- 240.81 m

  JD dynamic   = 2459440.491495512892 
  LST apparent = 316.7998243126 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.23580 +/- 3.8204 deg
  Dec       = +58.77697 +/- 0.6494 deg
  Azimuth   =  40.98053 +/- 0.4696 deg
  Elevation = +38.23715 +/- 1.9543 deg
  Vavg      =  54.64362 +/- 0.1516 km/s
  Vinit     =  60.88867 +/- 0.2348 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  53.17456 +/- 3.8204 deg
  Dec       = +58.53459 +/- 0.6494 deg
  Azimuth   =  41.25422 +/- 0.4696 deg
  Elevation = +38.12106 +/- 1.9543 deg
  Vavg      =  54.80070 +/- 0.1516 km/s
  Vinit     =  61.04576 +/- 0.2348 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.53340 +/- 3.8153 deg
  Dec    = +58.42939 +/- 0.6729 deg
  Vg     =  59.86888 +/- 0.2388 km/s
  Vinf   =  60.88867 +/- 0.2348 km/s
  Zc     =  51.90362 +/- 1.9553 deg
  Zg     =  52.37460 +/- 1.9762 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  66.77602 +/- 1.9929 deg
  Bg     = +37.89606 +/- 1.3392 deg
  Vh     =  42.01694 +/- 0.5610 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  88.78829 +/- 4.3108 deg
  Bh     = +61.06965 +/- 2.1496 deg
  Vh_x   =  -0.42982 +/- 0.9728 km/s
  Vh_y   = -20.32098 +/- 1.4991 km/s
  Vh_z   = -36.77358 +/- 1.1181 km/s
Orbit:
  La Sun = 141.139878 +/- 0.0000 deg
  a      = -63.225175 +/- 20.9718 AU
  e      =   1.014635 +/- 0.0547
  i      = 113.635329 +/- 1.2496 deg
  peri   = 145.885942 +/- 5.0500 deg
  node   = 141.138822 +/- 0.0001 deg
  Pi     = 287.024764 +/- 5.0501 deg
  q      =   0.925279 +/- 0.0159 AU
  f      =  34.110114 +/- 5.0500 deg
  M      =        nan +/- nan deg
  Q      = -127.375629 +/- 41.9406 AU
  n      =   0.001961 +/- 0.0260 deg/day
  T      = 1000000000.000000 +/- 182465461.0694 years
  Last perihelion JD = NaN 
  Tj     =  -0.562197 +/- 0.2690
Shower association:
  IAU No.  =    7
  IAU code =  PER

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

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 6.672973
 a2 = 18.561562

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 8.112e-05 s
  Stddev    = 9.01e-03 s

Begin point on the trajectory:
  Lon =    -2.476789 +/- 0.0014 deg
  Lat =    50.113912 +/- 0.0016 deg
  Ht  = 107723.36 +/- 237.38 m
End point on the trajectory:
  Lon =    -2.580732 +/- 0.0012 deg
  Lat =    50.037563 +/- 0.0013 deg
  Ht  = 98736.83 +/- 154.78 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,  10.703432,  14.661951,   107723.36,    98736.83,          0.015266,     32.72,     20.96,              87.03, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210813_234626_604_0327168.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   105113.32,   100115.81,          0.016755,     49.97,     19.70,              96.21, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210813_234629_391_0324352.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, 2459440.490694771986, 296.54006,  11.93143,              211.18867,  47.48469,       211.20711,       47.48646,    296.54006,     +11.93143,     296.52865,      +11.93727,  3037794.64, -2852693.95,  4953619.88,      50.113912,       -2.476789,  107723.36,  145105.43,       0.00,                3.72,     2.24,      0.00,           61276.55,     17.20,    -26.86,          45.34,  +3.34,  +2.53
  1,     UK000H,       0,  0.040804, 2459440.490695244167, 296.10858,  11.11042,              211.37028,  46.56955,       211.40187,       46.57259,    296.10858,     +11.11042,     296.08894,      +11.12056,  3037069.33, -2853664.76,  4951620.72,      50.101653,       -2.493516,  106276.68,  145247.84,    2337.78,             2334.06,  -151.93,  57292.90,           61276.55,     29.97,    -46.83,          78.95,  +1.73,  +0.92
  2,     UK000H,       0,  0.081704, 2459440.490695717745, 295.60669,  10.19787,              211.59873,  45.54441,       211.61226,       45.54571,    295.60669,     +10.19787,     295.59840,      +10.20228,  3036252.51, -2854758.05,  4949369.33,      50.087838,       -2.512330,  104648.09,  145452.72,    4970.50,             4966.78,    -9.55,  64369.70,           61276.55,     13.10,    -20.46,          34.45,  +1.47,  +0.66
  3,     UK000H,       0,  0.122552, 2459440.490696190391, 295.14621,   9.32839,              211.78946,  44.57293,       211.80453,       44.57438,    295.14621,      +9.32839,     295.13698,       +9.33337,  3035477.86, -2855794.90,  4947234.17,      50.074727,       -2.530180,  103104.16,  145691.15,    7467.32,             7463.60,     0.08,  61124.54,           61276.55,     14.85,    -23.19,          38.99,  +1.09,  +0.27
  4,     UK000H,       0,  0.163356, 2459440.490696662571, 294.70615,   8.50835,              211.97398,  43.65429,       211.98091,       43.65495,    294.70615,      +8.50835,     294.70229,       +8.51067,  3034742.35, -2856779.35,  4945206.91,      50.062269,       -2.547136,  101638.80,  145957.11,    9837.95,             9834.23,  -113.79,  58098.02,           60729.57,      6.95,    -10.85,          18.20,  +1.09,  +0.27
  5,     UK000H,       0,  0.204148, 2459440.490697134752, 294.25487,   7.70289,              212.17653,  42.74512,       212.15063,       42.74265,    294.25487,      +7.70289,     294.27293,       +7.69411,  3034009.91, -2857759.70,  4943188.10,      50.049856,       -2.564021,  100180.06,  146259.88,   12198.69,            12194.97,  -236.81,  57872.82,           60165.66,    -26.43,     41.20,          69.03,  +1.15,  +0.32
  6,     UK000H,       0,  0.244928, 2459440.490697606932, 293.83269,   6.89807,              212.33941,  41.84592,       212.31312,       41.84342,    293.83269,      +6.89807,     293.85141,       +6.88906,  3033285.01, -2858729.96,  4941190.05,      50.037563,       -2.580732,   98736.83,  146596.59,   14535.16,            14531.44,  -383.38,  57294.46,           59656.96,    -27.27,     42.51,          71.06,  +1.37,  +0.54
  0,     UK002D,       0,  0.056579, 2459440.490695422050, 301.16824,  -2.55807,              199.85630,  34.32994,       199.82249,       34.32121,    301.16824,      -2.55807,     301.19394,       -2.57252,  3036485.87, -2854445.70,  4950012.55,      50.091786,       -2.506897,  105113.32,  183071.83,       0.00,             4214.62,   768.09,      0.00,           57039.79,    -34.31,     86.95,         105.31,  +5.83,  +4.52
  1,     UK002D,       0,  0.096875, 2459440.490695888642, 300.99477,  -2.89978,              199.97294,  33.95916,       199.96393,       33.95684,    300.99477,      -2.89978,     301.00198,       -2.90365,  3036096.96, -2854966.25,  4948940.59,      50.085206,       -2.515942,  104338.01,  183370.92,    1253.53,             5468.15,  -431.95,  31108.03,           57039.79,     -9.18,     23.29,          28.15,  +4.06,  +2.74
  2,     UK002D,       0,  0.137571, 2459440.490696359426, 300.56373,  -3.69306,              200.27224,  33.09186,       200.28768,       33.09584,    300.56373,      -3.69306,     300.55252,       -3.68637,  3035172.38, -2856203.77,  4946392.19,      50.069554,       -2.537213,  102495.49,  184109.93,    4233.57,             8448.19,    70.17,  73226.83,           57039.79,     15.94,    -40.47,          48.73,  +1.87,  +0.54
  3,     UK002D,       0,  0.178131, 2459440.490696828812, 300.17732,  -4.33076,              200.55388,  32.38537,       200.55080,       32.38458,    300.17732,      -4.33076,     300.18044,       -4.33211,  3034403.61, -2857232.75,  4944273.22,      50.056530,       -2.554926,  100964.08,  184759.49,    6711.44,            10926.05,    78.39,  61091.42,           57039.79,     -3.22,      8.16,           9.80,  +1.69,  +0.36
  4,     UK002D,       0,  0.218451, 2459440.490697295871, 299.98771,  -4.69631,              200.67646,  31.98714,       200.69587,       31.99214,    299.98771,      -4.69631,     299.97362,       -4.68779,  3033977.66, -2857802.87,  4943099.20,      50.049310,       -2.564815,  100115.81,  185134.28,    8084.31,            12298.93, -1003.77,  34049.43,           53410.44,     20.38,    -51.73,          61.94,  +4.65,  +3.31

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.