Orbital Analysis for matched events on 20210813_015727.559_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.31° Bg 39.50° Vg 57.69km/s
mass 0.01856g, abs. mag -0.1
Path Details
------------
start 0.60° 53.00° 110.47km
end   0.50° 52.96° 96.55km

Orbit Details
-------------
Semimajor axis 7.14A.U., eccentricity 0.87, inclination 111.07°, Period 19.07Y, LA Sun 140.27°, 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: 2459439.581568970811
Time: 2021-08-13 01:57:27.559078 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 24.10297 deg
 R.A. =  47.48119  Dec = +59.45606 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 24.10 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3872403.82 +/- 171.15 m
 Y =   -565092.86 +/- 102.45 m
 Z =   5158557.44 +/- 184.72 m
 Vx =    21019.18 +/- 1517.33 m/s
 Vy =    21835.12 +/- 717.57 m/s
 Vz =    50325.72 +/- 1783.25 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.187045e+04, +1.979089e+04, +3.569136e+04, +2.074612e+05, +1.069014e+05, +1.693891e+05
+1.979089e+04, +1.309196e+04, +2.365865e+04, +1.162307e+05, +6.228675e+04, +9.625147e+04
+3.569136e+04, +2.365865e+04, +4.357190e+04, +2.040987e+05, +1.089691e+05, +1.727218e+05
+2.074612e+05, +1.162307e+05, +2.040987e+05, +1.808971e+06, +8.851908e+05, +1.418414e+06
+1.069014e+05, +6.228675e+04, +1.089691e+05, +8.851908e+05, +4.422551e+05, +6.996783e+05
+1.693891e+05, +9.625147e+04, +1.727218e+05, +1.418414e+06, +6.996783e+05, +1.156020e+06

Timing offsets (from input data):
    UK002K: -0.000932 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 01:57:27.559078 UTC
  Lon     = ++0.602244 +/- 0.0018 deg
  Lat     = +52.997072 +/- 0.0004 deg
  Lat geo = +52.815084 +/- 0.0004 deg
  Ht      =  110409.63 +/- 235.94 m

  JD dynamic   = 2459439.582369711716 
  LST apparent = 351.6975337244 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.09077 +/- 1.2401 deg
  Dec       = +58.94205 +/- 0.7958 deg
  Azimuth   =  56.68324 +/- 1.7806 deg
  Elevation = +59.87137 +/- 0.4401 deg
  Vavg      =  57.43598 +/- 1.8335 km/s
  Vinit     =  58.74739 +/- 1.6035 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.40247 +/- 1.2401 deg
  Dec       = +58.74823 +/- 0.7958 deg
  Azimuth   =  56.98535 +/- 1.7806 deg
  Elevation = +59.67027 +/- 0.4401 deg
  Vavg      =  57.55625 +/- 1.8335 km/s
  Vinit     =  58.86766 +/- 1.6035 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.20046 +/- 1.2905 deg
  Dec    = +58.79683 +/- 0.7953 deg
  Vg     =  57.69003 +/- 1.6351 km/s
  Vinf   =  58.74739 +/- 1.6035 km/s
  Zc     =  30.22894 +/- 0.4446 deg
  Zg     =  30.51000 +/- 0.4667 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.31022 +/- 1.1557 deg
  Bg     = +39.49672 +/- 0.5229 deg
  Vh     =  40.33416 +/- 1.0463 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.68275 +/- 5.3998 deg
  Bh     = +65.46824 +/- 1.0377 deg
  Vh_x   =  -2.13291 +/- 1.4582 km/s
  Vh_y   = -16.61026 +/- 1.0325 km/s
  Vh_z   = -36.69324 +/- 0.6839 km/s
Orbit:
  La Sun = 140.266823 +/- -0.0000 deg
  a      =   7.138661 +/- 2.5428 AU
  e      =   0.865641 +/- 0.0829
  i      = 111.070681 +/- 2.1607 deg
  peri   = 152.245064 +/- 4.7629 deg
  node   = 140.266906 +/- 0.0001 deg
  Pi     = 292.511970 +/- 4.7627 deg
  q      =   0.959140 +/- 0.0155 AU
  f      =  27.751344 +/- 4.7629 deg
  M      =   1.038321 +/- 2.2184 deg
  Q      =  13.318182 +/- 5.0739 AU
  n      =   0.051675 +/- 0.0676 deg/day
  T      =  19.073296 +/- 10.1175 years
  Last perihelion JD = 2459419.488999 (2021-07-23 23:44:09.477214) +/- 3.7373 days
  Tj     =   0.307400 +/- 0.5303
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +8.563796e-03, +1.229484e-03, +3.236583e-01, -2.056031e-07, +6.990610e-03, +3.127288e-03
q   , +1.229484e-03, +1.926508e-04, +4.936818e-02, -3.154045e-08, +1.076012e-03, +4.813635e-04
Tp  , +3.236583e-01, +4.936818e-02, +1.275638e+01, -8.132882e-06, +2.772535e-01, +1.239967e-01
node, -2.056031e-07, -3.154045e-08, -8.132882e-06, +5.248613e-12, -1.768817e-07, -8.004347e-08
peri, +6.990610e-03, +1.076012e-03, +2.772535e-01, -1.768817e-07, +6.031705e-03, +2.697711e-03
i   , +3.127288e-03, +4.813635e-04, +1.239967e-01, -8.004347e-08, +2.697711e-03, +1.220869e-03

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. = 1.357e-06 s
  Stddev    = 1.16e-03 s

Begin point on the trajectory:
  Lon =     0.602702 +/- 0.0018 deg
  Lat =    52.997253 +/- 0.0003 deg
  Ht  = 110474.09 +/- 238.62 m
End point on the trajectory:
  Lon =     0.502479 +/- 0.0017 deg
  Lat =    52.957906 +/- 0.0012 deg
  Ht  = 96548.30 +/- 197.30 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   110225.55,    96548.30,          0.008307,     15.64,     11.58,              42.69, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_015725_241_0512256.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   110474.09,   100320.57,          0.029899,     55.87,     11.75,              17.41, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210813_015721_465_0518144.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,     UK002K,       0,  0.002219, 2459439.581569007132,  21.22909,  21.43938,              132.14040,  50.39993,       132.14627,       50.40399,     21.22909,     +21.43938,      21.22351,      +21.44118,  3872327.67,  -565171.96,  5158375.11,      52.996553,       +0.600924,  110225.55,  142180.62,       0.00,              212.84,   134.69,      0.00,           57178.01,     -8.15,    -10.99,          19.86,  +2.20,  +1.44
  1,     UK002K,       0,  0.042515, 2459439.581569473725,  21.00912,  20.85484,              132.85223,  49.98031,       132.85938,       49.98522,     21.00912,     +20.85484,      21.00250,      +20.85703,  3871508.51,  -566022.92,  5156413.83,      52.990975,       +0.586693,  108245.45,  140469.12,    2289.50,             2502.33,    56.90,  56816.98,           57178.01,     -9.82,    -13.24,          24.20,  +1.20,  +0.46
  2,     UK002K,       0,  0.082799, 2459439.581569939852,  20.77386,  20.27862,              133.56743,  49.57136,       133.55694,       49.56425,     20.77386,     +20.27862,      20.78414,      +20.27542,  3870712.53,  -566849.81,  5154508.01,      52.985549,       +0.572854,  106321.54,  138821.98,    4514.24,             4727.08,   -84.93,  55226.48,           57178.01,     14.20,     19.17,          35.44,  +0.80,  +0.09
  3,     UK002K,       0,  0.123135, 2459439.581570406910,  20.53645,  19.62679,              134.32765,  49.09257,       134.32188,       49.08869,     20.53645,     +19.62679,      20.54241,      +19.62504,  3869844.65,  -567751.38,  5152430.07,      52.979628,       +0.557776,  104224.08,  137045.31,    6939.91,             7152.74,   -28.90,  60136.47,           57178.01,      7.70,     10.40,          19.48,  +0.78,  +0.10
  4,     UK002K,       0,  0.163479, 2459439.581570873503,  20.29084,  18.95777,              135.09758,  48.59798,       135.09278,       48.59480,     20.29084,     +18.95777,      20.29602,      +18.95632,  3868975.46,  -568654.30,  5150349.00,      52.973693,       +0.542670,  102123.66,  135286.34,    9369.24,             9582.07,    30.32,  60215.43,           58017.13,      6.32,      8.53,          16.19,  +0.74,  +0.08
  5,     UK002K,       0,  0.203819, 2459439.581571340561,  20.05285,  18.29624,              135.84015,  48.10306,       135.83921,       48.10244,     20.05285,     +18.29624,      20.05459,      +18.29596,  3868138.99,  -569523.24,  5148346.26,      52.967975,       +0.528120,  100102.50,  133613.37,   11707.12,            11919.96,    -1.66,  57954.51,           58247.75,      1.23,      1.66,           3.19,  +0.71,  +0.08
  6,     UK002K,       0,  0.244179, 2459439.581571807619,  19.81056,  17.60901,              136.59246,  47.58298,       136.59825,       47.58676,     19.81056,     +17.60901,      19.80617,      +17.61075,  3867292.91,  -570402.16,  5146320.52,      52.962186,       +0.513401,   98058.34,  131941.97,   14071.86,            14284.69,    -7.97,  58591.02,           58366.89,     -7.45,    -10.06,          19.57,  +1.07,  +0.47
  7,     UK002K,       0,  0.284427, 2459439.581572273746,  19.60033,  17.09886,              137.18138,  47.20671,       137.16294,       47.19476,     19.60033,     +17.09886,      19.61869,      +17.09333,  3866667.87,  -571051.47,  5144823.99,      52.957906,       +0.502479,   96548.30,  130719.71,   15818.82,            16031.66,  -625.47,  43405.03,           57172.26,     23.48,     31.75,          62.32,  +2.96,  +2.38
  0,     UK0032,       0,  0.000000, 2459439.581568970811,  24.40474,  48.83562,               87.76434,  68.77866,        87.75259,       68.79082,     24.40474,     +48.83562,      24.39047,      +48.84444,  3872430.49,  -565065.16,  5158621.28,      52.997253,       +0.602702,  110474.09,  118342.05,       0.00,               74.53,   126.72,      0.00,           59325.31,     -5.49,    -26.03,          46.37,  +2.72,  +2.35
  1,     UK0032,       0,  0.039904, 2459439.581569432747,  24.03902,  48.62294,               88.57580,  68.91159,        88.58719,       68.89941,     24.03902,     +48.62294,      24.05340,      +48.61417,  3871600.99,  -565926.86,  5156635.23,      52.991605,       +0.588295,  108468.97,  116113.10,    2318.41,             2243.88,   -48.18,  58099.67,           59325.31,      5.33,     25.50,          46.27,  +1.27,  +0.95
  2,     UK0032,       0,  0.079816, 2459439.581569894683,  23.66786,  48.38475,               89.46533,  69.03547,        89.48759,       69.01069,     23.66786,     +48.38475,      23.69693,      +48.36705,  3870748.75,  -566812.18,  5154594.74,      52.985796,       +0.573493,  106409.09,  113827.08,    4700.35,             4625.83,   -10.96,  59679.90,           59325.31,     10.52,     50.63,          93.71,  +0.63,  +0.35
  3,     UK0032,       0,  0.119736, 2459439.581570356619,  23.29698,  48.12496,               90.41910,  69.14780,        90.44104,       69.12217,     23.29698,     +48.12496,      23.32703,      +48.10684,  3869890.67,  -567703.57,  5152540.25,      52.979942,       +0.558585,  104335.28,  111529.63,    7098.65,             7024.13,    42.15,  60077.64,           59325.31,     10.59,     51.06,          96.43,  +0.57,  +0.33
  4,     UK0032,       0,  0.159692, 2459439.581570819020,  22.98217,  47.83022,               91.42410,  69.20835,        91.40760,       69.22891,     22.98217,     +47.83022,      22.95924,      +47.84457,  3869063.53,  -568562.82,  5150559.86,      52.974294,       +0.544203,  102336.47,  109319.20,    9410.45,             9335.92,     6.63,  57858.54,           59118.70,     -8.38,    -39.91,          76.94,  +0.70,  +0.51
  5,     UK0032,       0,  0.199636, 2459439.581571281422,  22.63840,  47.53019,               92.47376,  69.28057,        92.43289,       69.33509,     22.63840,     +47.53019,      22.57696,      +47.56780,  3868229.24,  -569429.49,  5148562.35,      52.968592,       +0.529694,  100320.57,  107094.22,   11742.23,            11667.70,    -8.20,  58376.22,           58953.57,    -21.85,   -103.13,         203.04,  +1.45,  +1.30
  6,     UK0032,       1,  0.239656, 2459439.581571744755,  22.51064,  47.30509,               93.15080,  69.25417,        93.04949,       69.39795,     22.51064,     +47.30509,      22.34765,      +47.40313,  3867747.67,  -569929.76,  5147409.32,      52.965298,       +0.521245,   99156.98,  105810.35,   13088.22,            13013.69, -1013.28,  33632.87,           56174.86,    -57.99,   -267.41,         533.40,  +6.71,  +6.59

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.