Orbital Analysis for matched events on 20210810_012531.819_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.12° Bg 42.19° Vg 54.55km/s
mass 0.02461g, abs. mag -0.7
Path Details
------------
start 2.91° 53.37° 106.73km
end   2.84° 53.33° 96.53km

Orbit Details
-------------
Semimajor axis 3.97A.U., eccentricity 0.76, inclination 105.08°, Period 7.92Y, LA Sun 137.37°, last Perihelion 2021-07-17

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: 2459436.559396055061
Time: 2021-08-10 01:25:31.819157 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 19.72057 deg
 R.A. =  42.34052  Dec = +61.27275 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 19.72 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3709409.60 +/- 238.52 m
 Y =  -1130557.56 +/- 309.95 m
 Z =   5180721.16 +/- 252.18 m
 Vx =    19895.99 +/- 1808.21 m/s
 Vy =    18085.83 +/- 2430.71 m/s
 Vz =    48748.95 +/- 3420.87 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.370681e+04, +4.201899e+04, +3.213091e+04, +1.644200e+05, +2.130652e+05, +9.469925e+04
+4.201899e+04, +5.473934e+04, +4.167541e+04, +2.116005e+05, +2.887412e+05, +1.490695e+05
+3.213091e+04, +4.167541e+04, +3.690776e+04, +1.589625e+05, +2.242169e+05, +1.480587e+05
+1.644200e+05, +2.116005e+05, +1.589625e+05, +1.580491e+06, +2.218206e+06, +1.214028e+06
+2.130652e+05, +2.887412e+05, +2.242169e+05, +2.218206e+06, +3.281289e+06, +1.853049e+06
+9.469925e+04, +1.490695e+05, +1.480587e+05, +1.214028e+06, +1.853049e+06, +1.753076e+06

Timing offsets (from input data):
    UK002K: 0.002329 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:25:31.819157 UTC
  Lon     = ++2.915455 +/- 0.0054 deg
  Lat     = +53.365840 +/- 0.0005 deg
  Lat geo = +53.184432 +/- 0.0005 deg
  Ht      =  106852.50 +/- 281.95 m

  JD dynamic   = 2459436.560196795966 
  LST apparent = 343.0497747134 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  42.27143 +/- 1.3116 deg
  Dec       = +61.12089 +/- 1.8869 deg
  Azimuth   =  52.00084 +/- 3.0808 deg
  Elevation = +58.22670 +/- 1.1197 deg
  Vavg      =  55.15328 +/- 2.4404 km/s
  Vinit     =  55.67233 +/- 2.8423 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  42.57702 +/- 1.3116 deg
  Dec       = +60.90206 +/- 1.8869 deg
  Azimuth   =  52.33853 +/- 3.0808 deg
  Elevation = +58.03169 +/- 1.1197 deg
  Vavg      =  55.27121 +/- 2.4404 km/s
  Vinit     =  55.79026 +/- 2.8423 km/s
Radiant (geocentric, J2000):
  R.A.   =  42.51554 +/- 1.2437 deg
  Dec    = +60.95665 +/- 1.8993 deg
  Vg     =  54.55476 +/- 2.8961 km/s
  Vinf   =  55.67233 +/- 2.8423 km/s
  Zc     =  31.88528 +/- 1.1121 deg
  Zg     =  32.21716 +/- 1.0939 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.11947 +/- 0.4501 deg
  Bg     = +42.19282 +/- 1.9712 deg
  Vh     =  39.07634 +/- 1.7241 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  90.73811 +/- 5.9276 deg
  Bh     = +69.66762 +/- 3.7162 deg
  Vh_x   =   0.17491 +/- 1.8341 km/s
  Vh_y   = -13.57656 +/- 2.8922 km/s
  Vh_z   = -36.64160 +/- 0.7847 km/s
Orbit:
  La Sun = 137.366122 +/- -0.0000 deg
  a      =   3.973626 +/- 9.9096 AU
  e      =   0.761698 +/- 0.1486
  i      = 105.075426 +/- 4.4437 deg
  peri   = 147.943908 +/- 2.3527 deg
  node   = 137.366402 +/- 0.0003 deg
  Pi     = 285.310311 +/- 2.3524 deg
  q      =   0.946922 +/- 0.0042 AU
  f      =  32.052449 +/- 2.3528 deg
  M      =   2.941893 +/- nan deg
  Q      =   7.000331 +/- 19.8194 AU
  n      =   0.124430 +/- 0.0789 deg/day
  T      =   7.921021 +/- 339934626.0807 years
  Last perihelion JD = 2459412.917155 (2021-07-17 10:00:42.155461) +/- 2.1057 days
  Tj     =   1.015194 +/- 0.9085
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.207872e-02, +2.410690e-04, +2.268054e-01, -3.291879e-07, +3.591504e-03, +4.915291e-03
q   , +2.410690e-04, +1.612869e-05, +6.356369e-03, -3.144553e-09, +1.205105e-04, +4.648575e-05
Tp  , +2.268054e-01, +6.356369e-03, +4.608777e+00, -5.488784e-06, +7.617502e-02, +8.212208e-02
node, -3.291879e-07, -3.144553e-09, -5.488784e-06, +1.482597e-11, -8.103157e-08, -2.212820e-07
peri, +3.591504e-03, +1.205105e-04, +7.617502e-02, -8.103157e-08, +1.291674e-03, +1.211656e-03
i   , +4.915291e-03, +4.648575e-05, +8.212208e-02, -2.212820e-07, +1.211656e-03, +3.304128e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.001327
 a2 = 55.845529

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 7.595e-06 s
  Stddev    = 2.76e-03 s

Begin point on the trajectory:
  Lon =     2.914573 +/- 0.0048 deg
  Lat =    53.365428 +/- 0.0003 deg
  Ht  = 106730.17 +/- 203.65 m
End point on the trajectory:
  Lon =     2.840037 +/- 0.0053 deg
  Lat =    53.330973 +/- 0.0003 deg
  Ht  = 96531.87 +/- 149.80 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,   106004.75,    96531.87,          0.009710,      4.35,     40.42,              43.66, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_012529_728_0453376.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.227315,  32.277792,   106730.17,    97317.38,          0.024356,     22.72,     92.41,              34.60, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210810_012526_984_0459520.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,  0.019376, 2459436.559396253899,  51.72223,  17.41317,               93.76209,  24.59397,        93.75888,       24.59215,     51.72223,     +17.41317,      51.72588,      +17.41356,  3709053.23, -1130881.51,  5179847.98,      53.362983,       +2.909269,  106004.75,  245421.33,       0.00,              997.19,  -224.36,      0.00,           56795.64,     14.67,      1.58,          12.40,  +2.75,  +0.80
  1,     UK002K,       0,  0.059728, 2459436.559396720957,  51.76898,  16.98979,               94.01223,  24.23429,        94.00635,       24.23097,     51.76898,     +16.98979,      51.77577,      +16.99050,  3708124.13, -1131726.08,  5177571.52,      53.355528,       +2.893158,  103794.80,  243554.87,    2599.76,             3596.95,   128.92,  64427.10,           56795.64,     26.63,      2.86,          22.68,  +1.77,  -0.16
  2,     UK002K,       0,  0.100000, 2459436.559397187084,  51.80279,  16.65543,               94.21120,  23.95172,        94.20080,       23.94584,     51.80279,     +16.65543,      51.81480,      +16.65670,  3707400.60, -1132383.78,  5175798.74,      53.349719,       +2.880570,  102074.00,  242108.57,    4624.31,             5621.51,   -88.57,  50271.96,           56795.64,     46.97,      5.06,          40.25,  +1.41,  -0.51
  3,     UK002K,       0,  0.140324, 2459436.559397653677,  51.84972,  16.26595,               94.43555,  23.61769,        94.42656,       23.61262,     51.84972,     +16.26595,      51.86030,      +16.26705,  3706567.04, -1133141.50,  5173756.35,      53.343020,       +2.866089,  100091.69,  240454.29,    6956.77,             7953.96,    -1.05,  57842.78,           56795.64,     40.36,      4.35,          34.82,  +1.43,  -0.48
  4,     UK002K,       0,  0.180648, 2459436.559398120269,  51.89423,  15.87208,               94.66352,  23.28120,        94.65353,       23.27557,     51.89423,     +15.87208,      51.90610,      +15.87329,  3705736.17, -1133896.78,  5171720.56,      53.336337,       +2.851651,   98116.01,  238816.68,    9281.68,            10278.87,    78.94,  57655.88,           56855.09,     44.63,      4.81,          38.77,  +1.68,  -0.21
  5,     UK002K,       0,  0.220916, 2459436.559398586396,  51.95589,  15.55528,               94.82460,  22.99494,        94.83702,       23.00193,     51.95589,     +15.55528,      51.94298,      +15.55377,  3705069.91, -1134502.43,  5170088.08,      53.330973,       +2.840037,   96531.87,  237509.83,   11146.00,            12143.19,  -298.56,  46297.77,           55365.67,    -55.24,     -5.92,          48.25,  +4.07,  +2.19
  0,     UK0032,       0,  0.000000, 2459436.559396055061,  63.03803,  29.00755,               76.65006,  26.87372,        76.63631,       26.86809,     63.03803,     +29.00755,      63.05275,      +29.01158,  3709358.18, -1130604.31,  5180595.17,      53.365428,       +2.914573,  106730.17,  229030.42,       0.00,              143.88,     1.05,      0.00,           57840.14,     52.38,    -12.83,          48.57,  +4.87,  +3.07
  1,     UK0032,       0,  0.040252, 2459436.559396520723,  63.18845,  28.73757,               76.74269,  26.58494,        76.77491,       26.59810,     63.18845,     +28.73757,      63.15414,      +28.72810,  3708619.58, -1131275.71,  5178785.46,      53.359504,       +2.901732,  104973.24,  227329.88,    2066.72,             2210.61,  -173.15,  51344.60,           57840.14,   -122.05,     30.06,         114.05,  +2.42,  +0.64
  2,     UK0032,       0,  0.080552, 2459436.559396987315,  63.29935,  28.38086,               76.92754,  26.25430,        76.94642,       26.26201,     63.29935,     +28.38086,      63.27949,      +28.37532,  3707716.60, -1132096.53,  5176572.99,      53.352257,       +2.886067,  102825.53,  225261.48,    4593.41,             4737.29,   109.94,  62696.87,           57840.14,    -71.03,     17.47,          66.98,  +1.25,  -0.51
  3,     UK0032,       0,  0.120836, 2459436.559397453442,  63.42091,  28.05103,               77.08304,  25.93687,        77.10647,       25.94643,     63.42091,     +28.05103,      63.39638,      +28.04417,  3706883.75, -1132853.61,  5174532.35,      53.345566,       +2.871600,  100844.85,  223361.40,    6923.86,             7067.74,   197.69,  57850.60,           57840.14,    -87.61,     21.55,          83.31,  +1.65,  -0.10
  4,     UK0032,       0,  0.161060, 2459436.559397919104,  63.46495,  27.76675,               77.26050,  25.69852,        77.23650,       25.68870,     63.46495,     +27.76675,      63.49128,      +27.77376,  3706213.56, -1133462.82,  5172890.26,      53.340177,       +2.859923,   99251.14,  221836.51,    8799.17,             8943.05,  -166.37,  46621.64,           55762.53,     89.34,    -21.85,          85.51,  +1.72,  -0.01
  5,     UK0032,       0,  0.201352, 2459436.559398385696,  63.63958,  27.44922,               77.36532,  25.35819,        77.39605,       25.37071,     63.63958,     +27.44922,      63.60763,      +27.44023,  3705400.29, -1134202.10,  5170897.58,      53.333633,       +2.845785,   97317.38,  219995.56,   11074.84,            11218.73,  -133.84,  56479.59,           55270.96,   -113.55,     27.96,         109.65,  +2.32,  +0.61

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.