Orbital Analysis for matched events on 20210813_005609.226_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.26° Bg 36.61° Vg 60.56km/s
mass 0.02642g, abs. mag -0.9
Path Details
------------
start 1.29° 51.96° 107.10km
end   1.21° 51.92° 99.31km

Orbit Details
-------------
Semimajor axis 28.84A.U., eccentricity 0.97, inclination 116.88°, Period 154.89Y, LA Sun 140.23°, last Perihelion 2021-07-25

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: 2459439.538995675277
Time: 2021-08-13 00:56:09.226344 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002F
 Convergence angle = 20.17481 deg
 R.A. =  54.90085  Dec = +64.77981 deg
Intersection 2 - Stations: UK000Z and UK0032
 Convergence angle = 24.94856 deg
 R.A. =  44.41755  Dec = +53.83718 deg
Intersection 3 - Stations: UK002F and UK0032
 Convergence angle = 44.85954 deg
 R.A. =  52.44251  Dec = +57.64895 deg

Best intersection: Stations UK002F and UK0032 with Qconv = 44.86 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3686801.87 +/- 109.71 m
 Y =  -1564062.81 +/- 66.69 m
 Z =   5084099.95 +/- 47.07 m
 Vx =    23689.17 +/- 1362.56 m/s
 Vy =    24947.48 +/- 822.31 m/s
 Vz =    51054.36 +/- 1118.69 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.272154e+04, +3.394050e+03, -2.205881e+02, +1.267249e+05, +3.170694e+04, +8.205769e+03
+3.394050e+03, +4.526232e+03, -1.730903e+03, +3.167652e+04, +4.123015e+04, -5.705446e+03
-2.205881e+02, -1.730903e+03, +2.441715e+03, -1.165448e+04, -2.201846e+04, +2.283189e+03
+1.267249e+05, +3.167652e+04, -1.165448e+04, +1.744775e+06, +4.912103e+05, +1.089087e+05
+3.170694e+04, +4.123015e+04, -2.201846e+04, +4.912103e+05, +4.847192e+05, -4.027303e+04
+8.205769e+03, -5.705446e+03, +2.283189e+03, +1.089087e+05, -4.027303e+04, +2.658635e+04

Timing offsets (from input data):
    UK000Z: -0.000192 s
    UK002F: -0.001195 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 00:56:09.226344 UTC
  Lon     = ++1.284802 +/- 0.0013 deg
  Lat     = +51.955626 +/- 0.0007 deg
  Lat geo = +51.771789 +/- 0.0007 deg
  Ht      =  107046.12 +/- 70.34 m

  JD dynamic   = 2459439.539796416182 
  LST apparent = 337.0117435578 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.48201 +/- 1.4855 deg
  Dec       = +56.02607 +/- 0.9777 deg
  Azimuth   =  55.71903 +/- 1.7503 deg
  Elevation = +50.70251 +/- 0.5669 deg
  Vavg      =  61.24366 +/- 0.9121 km/s
  Vinit     =  61.56380 +/- 0.6812 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.65123 +/- 1.4855 deg
  Dec       = +55.81540 +/- 0.9777 deg
  Azimuth   =  55.95926 +/- 1.7503 deg
  Elevation = +50.52890 +/- 0.5669 deg
  Vavg      =  61.39699 +/- 0.9121 km/s
  Vinit     =  61.71713 +/- 0.6812 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.62738 +/- 1.5079 deg
  Dec    = +55.80422 +/- 0.9788 deg
  Vg     =  60.55516 +/- 0.6932 km/s
  Vinf   =  61.56380 +/- 0.6812 km/s
  Zc     =  39.40128 +/- 0.5683 deg
  Zg     =  39.74018 +/- 0.5769 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.26028 +/- 1.2598 deg
  Bg     = +36.61129 +/- 0.7864 deg
  Vh     =  41.47695 +/- 0.2108 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  76.38358 +/- 3.7896 deg
  Bh     = +60.54156 +/- 1.0375 deg
  Vh_x   =  -4.80212 +/- 1.3016 km/s
  Vh_y   = -19.82472 +/- 0.6049 km/s
  Vh_z   = -36.11451 +/- 0.3448 km/s
Orbit:
  La Sun = 140.225944 +/- nan deg
  a      =  28.841075 +/- 4.9591 AU
  e      =   0.966548 +/- 0.0176
  i      = 116.883492 +/- 1.6679 deg
  peri   = 154.519984 +/- 2.8802 deg
  node   = 140.225238 +/- 0.0001 deg
  Pi     = 294.745222 +/- 2.8801 deg
  q      =   0.964803 +/- 0.0121 AU
  f      =  25.476118 +/- 2.8803 deg
  M      =   0.114879 +/- 0.2086 deg
  Q      =  56.717347 +/- 9.9080 AU
  n      =   0.006363 +/- 0.0078 deg/day
  T      = 154.888008 +/- 31.8829 years
  Last perihelion JD = 2459421.486593 (2021-07-25 23:40:41.606082) +/- 1.8826 days
  Tj     =  -0.365602 +/- 0.1283
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.357582e-04, +2.078704e-04, +3.340566e-02, -2.425710e-08, +8.810522e-04, +3.332975e-04
q   , +2.078704e-04, +1.534132e-04, +2.393963e-02, -1.777293e-08, +6.391250e-04, +2.461714e-04
Tp  , +3.340566e-02, +2.393963e-02, +3.759844e+00, -2.804008e-06, +1.001474e-01, +3.876996e-02
node, -2.425710e-08, -1.777293e-08, -2.804008e-06, +4.465258e-12, -7.472531e-08, -6.192767e-08
peri, +8.810522e-04, +6.391250e-04, +1.001474e-01, -7.472531e-08, +2.669878e-03, +1.033846e-03
i   , +3.332975e-04, +2.461714e-04, +3.876996e-02, -6.192767e-08, +1.033846e-03, +8.591519e-04

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: UK0032
  Avg. res. = 2.852e-06 s
  Stddev    = 1.69e-03 s

Begin point on the trajectory:
  Lon =     1.285301 +/- 0.0013 deg
  Lat =    51.955837 +/- 0.0006 deg
  Ht  = 107097.77 +/- 64.96 m
End point on the trajectory:
  Lon =     1.209156 +/- 0.0013 deg
  Lat =    51.924021 +/- 0.0007 deg
  Ht  = 99307.27 +/- 69.73 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   106868.06,    99307.27,          0.021363,     69.96,     68.99,              59.11, 0.7364,    True,    True, {"ff_name": "FF_UK000Z_20210813_005608_362_0414976.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105761.51,    99918.41,          0.018418,     23.35,     62.31,              32.86, 0.2944,    True,    True, {"ff_name": "FF_UK002F_20210813_005607_674_0392704.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   107097.77,    99623.30,          0.016119,     47.23,     17.54,              63.55, 0.8015,    True,    True, {"ff_name": "FF_UK0032_20210813_005602_477_0426240.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,     UK000Z,       0,  0.008983, 2459439.538995779119,  27.05996,   1.85449,              119.96009,  22.74713,       119.92934,       22.71947,     27.05996,      +1.85449,      27.09854,       +1.84565,  3686713.33, -1564156.05,  5083909.14,      51.954901,       +1.283041,  106868.06,  264246.57,       0.00,              230.09,   -40.09,      0.00,           63223.10,    128.28,    130.15,         142.64,  +2.86,  +0.75
  1,     UK000Z,       0,  0.049207, 2459439.538996244781,  27.01662,   1.39563,              120.25854,  22.37771,       120.27557,       22.39298,     27.01662,      +1.39563,      26.99534,       +1.40051,  3685745.34, -1565175.46,  5081822.95,      51.946964,       +1.264036,  104921.50,  262853.32,    2515.63,             2745.72,    -0.80,  62540.57,           63223.10,    -70.72,    -71.57,          78.96,  +2.29,  +0.19
  2,     UK000Z,       0,  0.089363, 2459439.538996709511,  26.88570,   0.95406,              120.62663,  22.06785,       120.62218,       22.06386,     26.88570,      +0.95406,      26.89157,       +0.95278,  3684781.90, -1566190.07,  5079746.56,      51.939057,       +1.245115,  102984.47,  261483.37,    5019.44,             5249.53,    30.85,  62351.99,           63223.10,     18.40,     18.65,          20.66,  +1.85,  -0.24
  3,     UK000Z,       0,  0.129543, 2459439.538997174706,  26.77075,   0.48276,              120.99487,  21.72349,       120.98615,       21.71570,     26.77075,      +0.48276,      26.78215,       +0.48026,  3683775.90, -1567249.51,  5077578.45,      51.930792,       +1.225360,  100962.28,  260071.43,    7633.85,             7863.94,   171.63,  65067.41,           63223.10,     35.83,     36.32,          40.46,  +1.50,  -0.58
  4,     UK000Z,       0,  0.169699, 2459439.538997639436,  26.68258,   0.09155,              121.29254,  21.43331,       121.28597,       21.42746,     26.68258,      +0.09155,      26.69144,       +0.08966,  3682952.43, -1568116.72,  5075803.72,      51.924021,       +1.209156,   99307.27,  258928.05,    9773.90,            10003.99,  -160.47,  53293.51,           61393.96,     26.86,     27.22,          30.46,  +1.69,  -0.38
  0,     UK002F,       0,  0.030708, 2459439.538995950948,  47.42637,  24.99525,               86.53996,  29.73275,        86.56890,       29.75521,     47.42637,     +24.99525,      47.38919,      +24.99465,  3686163.09, -1564735.52,  5082723.26,      51.950390,       +1.272272,  105761.51,  207883.35,       0.00,             1660.08,    52.41,      0.00,           61843.75,   -114.53,    -42.88,         121.35,  +1.77,  +0.18
  1,     UK002F,       0,  0.070840, 2459439.538996415213,  47.38769,  24.64101,               86.84627,  29.49651,        86.84081,       29.49227,     47.38769,     +24.64101,      47.39485,      +24.64112,  3685212.02, -1565737.11,  5080673.54,      51.942588,       +1.253594,  103849.19,  205759.49,    2471.65,             4131.73,    53.39,  61588.12,           61843.75,     21.39,      8.04,          22.91,  +1.70,  +0.13
  2,     UK002F,       0,  0.110988, 2459439.538996879943,  47.40411,  24.32469,               87.07951,  29.25366,        87.08316,       29.25649,     47.40411,     +24.32469,      47.39977,      +24.32461,  3684376.44, -1566617.07,  5078872.73,      51.935727,       +1.237160,  102169.39,  203898.90,    4643.16,             6303.24,  -246.77,  54087.54,           61843.75,    -14.18,     -5.33,          15.33,  +1.54,  -0.01
  3,     UK002F,       0,  0.151172, 2459439.538997345138,  47.39240,  23.89061,               87.42409,  28.94080,        87.41319,       28.93237,     47.39240,     +23.89061,      47.40682,      +23.89082,  3683256.52, -1567796.48,  5076459.10,      51.926522,       +1.215185,   99918.41,  201418.54,    7553.63,             9213.71,   189.83,  72428.62,           61843.75,     41.89,     15.76,          45.83,  +0.98,  -0.54
  0,     UK0032,       0,  0.000000, 2459439.538995675277,   6.14145,   4.63447,              141.61917,  35.58293,       141.61820,       35.58209,      6.14145,      +4.63447,       6.14241,       +4.63399,  3686827.55, -1564035.76,  5084155.30,      51.955837,       +1.285301,  107097.77,  181170.05,       0.00,               66.74,   349.57,      0.00,           59355.22,      1.27,      3.42,           4.16,  +3.75,  +2.46
  1,     UK0032,       0,  0.040088, 2459439.538996139076,   5.84028,   4.04484,              142.23018,  35.14751,       142.20774,       35.12835,      5.84028,      +4.04484,       5.86453,       +4.03382,  3685911.53, -1565000.44,  5082181.11,      51.948327,       +1.267309,  105255.67,  180006.18,    2380.57,             2313.83,   128.69,  59383.61,           59355.22,     29.01,     78.12,          95.49,  +1.63,  +0.35
  2,     UK0032,       0,  0.080200, 2459439.538996603340,   5.57962,   3.45959,              142.78735,  34.69866,       142.77270,       34.68622,      5.57962,      +3.45959,       5.59564,       +3.45240,  3685035.30, -1565923.21,  5080292.69,      51.941137,       +1.250086,  103493.91,  178915.33,    4657.72,             4590.98,   -63.61,  56769.75,           59355.22,     18.83,     50.68,          62.33,  +1.37,  +0.11
  3,     UK0032,       0,  0.120328, 2459439.538997067604,   5.28546,   2.80515,              143.40668,  34.19495,       143.39809,       34.18770,      5.28546,      +2.80515,       5.29512,       +2.80094,  3684066.05, -1566943.95,  5078203.77,      51.933177,       +1.231049,  101545.46,  177735.60,    7176.64,             7109.91,   -15.11,  62772.28,           59355.22,     10.97,     29.53,          36.55,  +1.20,  -0.05
  4,     UK0032,       0,  0.160468, 2459439.538997532334,   5.00702,   2.14390,              144.00422,  33.67642,       144.01593,       33.68624,      5.00702,      +2.14390,       4.99499,       +2.14963,  3683109.68, -1567951.12,  5076142.63,      51.925314,       +1.212257,   99623.30,  176599.14,    9662.06,             9595.32,    -0.87,  61918.72,           60123.96,    -14.86,    -39.96,          49.79,  +1.15,  -0.08

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.