Orbital Analysis for matched events on 20210810_024950.593_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.40° Bg 47.44° Vg 52.15km/s
mass 0.00958g, abs. mag 0.6
Path Details
------------
start -1.42° 52.93° 103.53km
end   -1.46° 52.90° 94.96km

Orbit Details
-------------
Semimajor axis 6.12A.U., eccentricity 0.85, inclination 96.19°, Period 15.15Y, LA Sun 137.42°, last Perihelion 2021-07-17

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: 2459436.617946687620
Time: 2021-08-10 02:49:50.593810 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002Z and UK003A
 Convergence angle = 11.18826 deg
 R.A. =  43.70026  Dec = +66.71905 deg

Best intersection: Stations UK002Z and UK003A with Qconv = 11.19 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3915216.04 +/- 128.28 m
 Y =    -10558.00 +/- 368.66 m
 Z =   5148437.76 +/- 652.07 m
 Vx =    15060.30 +/- 8819.77 m/s
 Vy =    14385.94 +/- 7881.06 m/s
 Vz =    49086.68 +/- 21633.71 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.737893e+03, -1.026312e+04, -1.416336e+04, -2.272322e+04, -5.011426e+04, -1.628609e+05
-1.026312e+04, +6.642699e+04, +1.230010e+05, -5.406636e+05, -4.160291e+05, -1.438927e+06
-1.416336e+04, +1.230010e+05, +2.398901e+05, -9.891479e+05, -7.676236e+05, -2.598546e+06
-2.272322e+04, -5.406636e+05, -9.891479e+05, +3.356700e+07, +3.119945e+07, +1.047531e+08
-5.011426e+04, -4.160291e+05, -7.676236e+05, +3.119945e+07, +2.997673e+07, +9.939163e+07
-1.628609e+05, -1.438927e+06, -2.598546e+06, +1.047531e+08, +9.939163e+07, +3.319441e+08

Timing offsets (from input data):
    UK002Z: 0.015507 s
    UK003A: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:49:50.593810 UTC
  Lon     = +-1.424763 +/- 0.0039 deg
  Lat     = +52.930419 +/- 0.0028 deg
  Lat geo = +52.748116 +/- 0.0028 deg
  Ht      =  103419.10 +/- 324.60 m

  JD dynamic   = 2459436.618747428525 
  LST apparent = 359.8454932023 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  43.68806 +/- 5.3824 deg
  Dec       = +67.00887 +/- 0.6154 deg
  Azimuth   =  39.33623 +/- 0.7419 deg
  Elevation = +64.73366 +/- 2.2721 deg
  Vavg      =  50.63840 +/- 1.7896 km/s
  Vinit     =  53.32232 +/- 23.1985 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.24920 +/- 5.3824 deg
  Dec       = +66.81254 +/- 0.6154 deg
  Azimuth   =  39.88774 +/- 0.7419 deg
  Elevation = +64.55703 +/- 2.2721 deg
  Vavg      =  50.71635 +/- 1.7896 km/s
  Vinit     =  53.40027 +/- 23.1985 km/s
Radiant (geocentric, J2000):
  R.A.   =  43.93131 +/- 5.4078 deg
  Dec    = +66.98167 +/- 0.6064 deg
  Vg     =  52.15382 +/- 2.0310 km/s
  Vinf   =  53.32232 +/- 1.9840 km/s
  Zc     =  25.40758 +/- 2.2720 deg
  Zg     =  25.69376 +/- 2.2820 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.39685 +/- 3.2631 deg
  Bg     = +47.43712 +/- 0.6020 deg
  Vh     =  40.06706 +/- 1.7883 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 115.97477 +/- 5.1093 deg
  Bh     = +73.48566 +/- 3.1553 deg
  Vh_x   =   4.98822 +/- 1.1708 km/s
  Vh_y   = -10.23881 +/- 2.3189 km/s
  Vh_z   = -38.41424 +/- 1.2484 km/s
Orbit:
  La Sun = 137.422296 +/- -0.0000 deg
  a      =   6.123697 +/- 3.4725 AU
  e      =   0.847095 +/- 0.1496
  i      =  96.187580 +/- 1.6149 deg
  peri   = 146.463237 +/- 4.8541 deg
  node   = 137.423495 +/- 0.0001 deg
  Pi     = 283.886733 +/- 4.8541 deg
  q      =   0.936346 +/- 0.0212 AU
  f      =  33.533407 +/- 4.8541 deg
  M      =   1.556849 +/- nan deg
  Q      =  11.311047 +/- 6.9489 AU
  n      =   0.065041 +/- 0.1177 deg/day
  T      =  15.153786 +/- 182465605.7638 years
  Last perihelion JD = 2459412.682117 (2021-07-17 04:22:14.943259) +/- 3.4150 days
  Tj     =   0.725587 +/- 0.8445
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.002484e-02, -4.046961e-04, +1.250938e-01, -8.473540e-08, +9.342727e-04, +1.441452e-03
q   , -4.046961e-04, +7.633640e-05, +4.206855e-03, +6.271656e-09, +2.126122e-04, -1.064471e-04
Tp  , +1.250938e-01, +4.206855e-03, +3.136721e+00, -7.450130e-07, +5.281280e-02, +1.271353e-02
node, -8.473540e-08, +6.271656e-09, -7.450130e-07, +1.028859e-12, +1.801369e-09, -1.748937e-08
peri, +9.342727e-04, +2.126122e-04, +5.281280e-02, +1.801369e-09, +1.175150e-03, -2.960603e-05
i   , +1.441452e-03, -1.064471e-04, +1.271353e-02, -1.748937e-08, -2.960603e-05, +2.973017e-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: UK003A
  Avg. res. = 9.854e-07 s
  Stddev    = 9.93e-04 s

Begin point on the trajectory:
  Lon =    -1.424273 +/- 0.0039 deg
  Lat =    52.930781 +/- 0.0028 deg
  Ht  = 103531.16 +/- 307.94 m
End point on the trajectory:
  Lon =    -1.462539 +/- 0.0027 deg
  Lat =    52.903082 +/- 0.0018 deg
  Ht  = 94963.93 +/- 178.68 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
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   102167.93,    94963.93,          0.019014,     46.37,      5.46,              69.45, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210810_024949_115_0579584.fits"}
    UK003A,   False,    -2.395630,    52.113500,   85.00,   0.000000,   0.000000,   103531.16,    95938.14,          0.023307,     58.72,     18.02,              20.91, 1.0000,    True,    True, {"ff_name": "FF_UK003A_20210810_024946_406_0577792.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,     UK002Z,       0,  0.025663, 2459436.617946829181, 329.10310,  16.69968,              226.18651,  45.64068,       226.20902,       45.63992,    329.10310,     +16.69968,     329.08806,      +16.70605,  3914825.27,   -10931.27,  5147164.12,      52.926380,       -1.430293,  102167.93,  141797.12,       0.00,             1383.54,   324.00,      0.00,           51269.00,     -4.56,    -38.73,          56.72,  +2.68,  +1.92
  1,     UK002Z,       0,  0.066175, 2459436.617947298102, 328.80872,  16.04706,              226.13125,  44.93063,       226.16543,       44.92948,    328.80872,     +16.04706,     328.78582,      +16.05682,  3914295.83,   -11437.01,  5145438.48,      52.920904,       -1.437886,  100472.81,  141131.36,    1874.55,             3258.09,    38.35,  46271.42,           51269.00,     -6.98,    -59.25,          87.20,  +1.98,  +1.23
  2,     UK002Z,       0,  0.106755, 2459436.617947767954, 328.47591,  15.31859,              226.07925,  44.13567,       226.11739,       44.13439,    328.47591,     +15.31859,     328.45023,      +15.32959,  3913708.90,   -11997.66,  5143525.46,      52.914829,       -1.446289,   98593.73,  140418.33,    3952.63,             5336.17,   -47.38,  51209.63,           51269.00,     -7.86,    -66.69,          98.65,  +1.20,  +0.46
  3,     UK002Z,       0,  0.147419, 2459436.617948238272, 328.07637,  14.52035,              226.06892,  43.24900,       226.06493,       43.24914,    328.07637,     +14.52035,     328.07963,      +14.51919,  3913062.05,   -12615.54,  5141417.16,      52.908130,       -1.455535,   96522.96,  139663.62,    6242.86,             7626.40,    74.54,  56320.65,           51269.00,      0.83,      7.04,          10.47,  +0.89,  +0.16
  4,     UK002Z,       0,  0.187919, 2459436.617948707193, 327.78437,  13.90862,              226.04701,  42.57515,       226.02719,       42.57582,    327.78437,     +13.90862,     327.79884,      +13.90279,  3912575.03,   -13080.75,  5139829.81,      52.903082,       -1.462539,   94963.93,  139119.07,    7967.18,             9350.72,  -360.68,  42575.99,           50037.89,      4.12,     35.23,          52.59,  +1.66,  +0.94
  0,     UK003A,       0,  0.000000, 2459436.617946687620,  97.71826,  63.98999,               35.60617,  41.90459,        35.55522,       41.90682,     97.71826,     +63.98999,      97.76416,      +64.02219,  3915251.04,   -10524.57,  5148551.83,      52.930781,       -1.424273,  103531.16,  153372.75,       0.00,              123.91,   432.77,      0.00,           51150.56,    -29.69,    -97.25,         136.75,  +2.85,  +1.92
  1,     UK003A,       0,  0.040220, 2459436.617947153281,  98.35641,  63.87056,               35.51723,  41.60709,        35.52623,       41.60668,     98.35641,     +63.87056,      98.34831,      +63.86487,  3914645.57,   -11102.93,  5146578.40,      52.924521,       -1.432929,  101592.56,  151380.63,    2143.71,             2019.80,   184.04,  53299.68,           51150.56,      5.24,     17.03,          24.28,  +2.01,  +1.11
  2,     UK003A,       0,  0.080436, 2459436.617947618477,  98.92345,  63.73848,               35.46261,  41.32704,        35.49889,       41.32538,     98.92345,     +63.73848,      98.89025,      +63.71556,  3914091.93,   -11631.77,  5144773.91,      52.918794,       -1.440862,   99820.02,  149562.36,    4103.91,             3980.00,    -0.17,  48741.65,           51150.56,     21.03,     68.07,          98.26,  +1.40,  +0.53
  3,     UK003A,       0,  0.120684, 2459436.617948084604,  99.49057,  63.55670,               35.45694,  41.01656,        35.46944,       41.01600,     99.49057,     +63.55670,      99.47932,      +63.54881,  3913498.41,   -12198.72,  5142839.41,      52.912650,       -1.449356,   97919.87,  147617.56,    6205.34,             6081.43,   -44.86,  52212.14,           51150.56,      7.18,     23.28,          34.04,  +1.30,  +0.45
  4,     UK003A,       0,  0.160944, 2459436.617948550265, 100.12683,  63.38378,               35.41230,  40.68561,        35.43841,       40.68442,    100.12683,     +63.38378,     100.10272,      +63.36733,  3912879.36,   -12790.05,  5140821.72,      52.906237,       -1.458211,   95938.14,  145594.08,    8397.13,             8273.22,     0.17,  54440.84,           51835.09,     14.88,     48.16,          71.40,  +1.74,  +0.92

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.