Orbital Analysis for matched events on 20210816_222913.569_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.59° Bg 41.63° Vg 58.06km/s
mass 0.05725g, abs. mag -0.8
Path Details
------------
start 2.87° 53.08° 107.68km
end   2.73° 52.96° 93.96km

Orbit Details
-------------
Semimajor axis 29.36A.U., eccentricity 0.97, inclination 108.95°, Period 159.05Y, LA Sun 143.97°, last Perihelion 2021-08-01

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: 2459443.436962614302
Time: 2021-08-16 22:29:13.569876 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 6.13659 deg
 R.A. =  48.45152  Dec = +61.87084 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 6.14 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2279073.19 +/- 405.89 m
 Y =  -3170429.62 +/- 115.77 m
 Z =   5161758.38 +/- 197.89 m
 Vx =    18840.96 +/- 1745.57 m/s
 Vy =    20626.69 +/- 381.34 m/s
 Vz =    52096.88 +/- 1221.88 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.347750e+05, +3.897782e+04, +6.430943e+04, +3.941016e+05, +7.517719e+04, +7.576196e+04
+3.897782e+04, +1.156808e+04, +1.882606e+04, +1.085055e+05, +2.182173e+04, +2.116274e+04
+6.430943e+04, +1.882606e+04, +3.155672e+04, +1.839732e+05, +3.514744e+04, +3.616591e+04
+3.941016e+05, +1.085055e+05, +1.839732e+05, +2.303076e+06, +3.778145e+05, +3.987043e+05
+7.517719e+04, +2.182173e+04, +3.514744e+04, +3.778145e+05, +7.164448e+04, +7.550856e+04
+7.576196e+04, +2.116274e+04, +3.616591e+04, +3.987043e+05, +7.550856e+04, +9.877562e+04

Timing offsets (from input data):
    UK002K: 0.000801 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 22:29:13.569876 UTC
  Lon     = ++2.873531 +/- 0.0058 deg
  Lat     = +53.076416 +/- 0.0002 deg
  Lat geo = +52.894495 +/- 0.0002 deg
  Ht      =  107659.49 +/- 243.88 m

  JD dynamic   = 2459443.437763355207 
  LST apparent = 305.7105865634 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.59061 +/- 2.5231 deg
  Dec       = +61.79804 +/- 0.9732 deg
  Azimuth   =  37.29346 +/- 1.9213 deg
  Elevation = +40.24737 +/- 0.2221 deg
  Vavg      =  57.98093 +/- 1.0888 km/s
  Vinit     =  59.11452 +/- 0.8757 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.47158 +/- 2.5231 deg
  Dec       = +61.56052 +/- 0.9732 deg
  Azimuth   =  37.58000 +/- 1.9213 deg
  Elevation = +40.13923 +/- 0.2221 deg
  Vavg      =  58.11314 +/- 1.0888 km/s
  Vinit     =  59.24673 +/- 0.8757 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.92204 +/- 2.5514 deg
  Dec    = +61.41145 +/- 0.9593 deg
  Vg     =  58.06339 +/- 0.8922 km/s
  Vinf   =  59.11452 +/- 0.8757 km/s
  Zc     =  49.89744 +/- 0.2253 deg
  Zg     =  50.37565 +/- 0.2418 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.59300 +/- 1.9087 deg
  Bg     = +41.63335 +/- 0.5253 deg
  Vh     =  41.49872 +/- 0.3804 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.02148 +/- 6.4789 deg
  Bh     = +68.36482 +/- 0.3362 deg
  Vh_x   =  -1.59362 +/- 1.6587 km/s
  Vh_y   = -15.21717 +/- 0.4120 km/s
  Vh_z   = -38.57514 +/- 0.2787 km/s
Orbit:
  La Sun = 143.970715 +/- 0.0000 deg
  a      =  29.355212 +/- 8.8518 AU
  e      =   0.966704 +/- 0.0335
  i      = 108.948350 +/- 1.6849 deg
  peri   = 158.353251 +/- 3.8911 deg
  node   = 143.969678 +/- 0.0001 deg
  Pi     = 302.322930 +/- 3.8909 deg
  q      =   0.977407 +/- 0.0148 AU
  f      =  21.642813 +/- 3.8911 deg
  M      =   0.096009 +/- nan deg
  Q      =  57.733016 +/- 17.6998 AU
  n      =   0.006197 +/- 0.0113 deg/day
  T      = 159.048090 +/- 182465597.7084 years
  Last perihelion JD = 2459427.944697 (2021-08-01 10:40:21.828009) +/- 2.5238 days
  Tj     =  -0.217408 +/- 0.2157
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.976105e-04, +2.549104e-04, +5.110355e-02, -3.906817e-08, +1.269891e-03, +5.503208e-04
q   , +2.549104e-04, +1.764345e-04, +3.155284e-02, -2.485117e-08, +8.174161e-04, +3.520645e-04
Tp  , +5.110355e-02, +3.155284e-02, +5.754776e+00, -4.505536e-06, +1.480787e-01, +6.375134e-02
node, -3.906817e-08, -2.485117e-08, -4.505536e-06, +3.566206e-12, -1.161557e-07, -5.048097e-08
peri, +1.269891e-03, +8.174161e-04, +1.480787e-01, -1.161557e-07, +3.819517e-03, +1.644182e-03
i   , +5.503208e-04, +3.520645e-04, +6.375134e-02, -5.048097e-08, +1.644182e-03, +7.146432e-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. = 7.861e-06 s
  Stddev    = 2.80e-03 s

Begin point on the trajectory:
  Lon =     2.873715 +/- 0.0058 deg
  Lat =    53.076562 +/- 0.0001 deg
  Ht  = 107677.00 +/- 243.63 m
End point on the trajectory:
  Lon =     2.728043 +/- 0.0051 deg
  Lat =    52.962188 +/- 0.0008 deg
  Ht  = 93963.86 +/- 167.68 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   107357.14,    93981.41,          0.006417,     23.42,     13.50,              58.61, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210816_222911_579_0214272.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   107677.00,    93963.86,          0.010310,     30.72,     22.49,              44.49, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210816_222912_475_0219904.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,  0.004985, 2459443.436962663662,   8.25100,  12.74599,              102.08518,  24.52443,       102.08263,       24.52077,      8.25100,     +12.74599,       8.25517,      +12.74443,  2278924.03, -3170592.91,  5161345.95,      53.073905,       +2.870337,  107357.14,  249064.95,       0.00,              467.98,   186.18,      0.00,           58302.56,      9.41,     16.32,          15.61,  +2.56,  +0.58
  1,     UK002K,       0,  0.045225, 2459443.436963129323,   8.10742,  12.36953,              102.45486,  24.30523,       102.45556,       24.30623,      8.10742,     +12.36953,       8.10647,      +12.36995,  2278260.20, -3171319.65,  5159510.42,      53.062725,       +2.856036,  106011.71,  247913.66,    2082.79,             2550.77,  -109.80,  51759.23,           58302.56,     -2.57,     -4.46,           4.28,  +2.24,  +0.27
  2,     UK002K,       0,  0.085501, 2459443.436963595450,   7.92160,  11.91948,              102.90776,  24.05061,       102.90425,       24.04562,      7.92160,     +11.91948,       7.92761,      +11.91736,  2277466.35, -3172188.75,  5157315.33,      53.049347,       +2.838968,  104403.24,  246554.94,    4573.56,             5041.54,     0.07,  61842.45,           58302.56,     12.74,     22.10,          21.34,  +1.57,  -0.39
  3,     UK002K,       0,  0.125781, 2459443.436964061577,   7.74930,  11.47343,              103.34506,  23.79053,       103.34346,       23.78827,      7.74930,     +11.47343,       7.75239,      +11.47247,  2276694.55, -3173033.70,  5155181.24,      53.036332,       +2.822372,  102839.98,  245250.82,    6995.12,             7463.11,    40.50,  60118.30,           58302.56,      5.76,      9.98,           9.69,  +1.20,  -0.75
  4,     UK002K,       0,  0.166053, 2459443.436964527704,   7.57680,  11.03958,              103.77335,  23.53959,       103.77067,       23.53582,      7.57680,     +11.03958,       7.58178,      +11.03797,  2275948.71, -3173850.22,  5153118.95,      53.023746,       +2.806331,  101329.80,  244006.54,    9335.21,             9803.20,    -0.07,  58107.10,           58563.04,      9.58,     16.62,          16.22,  +1.15,  -0.79
  5,     UK002K,       0,  0.206349, 2459443.436964994296,   7.39430,  10.56363,              104.23592,  23.25952,       104.23532,       23.25868,      7.39430,     +10.56363,       7.39612,      +10.56327,  2275142.66, -3174732.68,  5150890.13,      53.010136,       +2.789010,   99698.21,  242680.89,   11864.26,            12332.24,   146.90,  62761.77,           59237.69,      2.13,      3.69,           3.62,  +1.22,  -0.71
  6,     UK002K,       0,  0.246633, 2459443.436965460423,   7.20250,  10.10058,              104.69686,  22.99432,       104.69016,       22.98498,      7.20250,     +10.10058,       7.21415,      +10.09660,  2274358.82, -3175590.80,  5148722.76,      52.996891,       +2.772163,   98112.15,  241410.05,   14323.58,            14791.56,   224.85,  61049.55,           59672.74,     23.54,     40.85,          40.29,  +1.26,  -0.65
  7,     UK002K,       0,  0.286913, 2459443.436965926550,   7.03192,   9.64592,              105.13266,  22.72285,       105.12945,       22.71841,      7.03192,      +9.64592,       7.03818,       +9.64403,  2273606.55, -3176414.37,  5146642.67,      52.984172,       +2.755991,   96590.45,  240207.43,   16683.87,            17151.86,   204.01,  58597.16,           59764.33,     11.17,     19.38,          19.21,  +1.20,  -0.70
  8,     UK002K,       0,  0.327173, 2459443.436966392677,   6.89217,   9.23456,              105.51308,  22.46815,       105.52100,       22.47910,      6.89217,      +9.23456,       6.88105,       +9.23923,  2272940.02, -3177144.08,  5144799.65,      52.972895,       +2.741644,   95242.57,  239155.23,   18775.16,            19243.14,   -84.66,  51944.41,           59285.98,    -27.48,    -47.62,          47.42,  +1.44,  -0.45
  9,     UK002K,       0,  0.367397, 2459443.436966857873,   6.73072,   8.85740,              105.88987,  22.25309,       105.88938,       22.25243,      6.73072,      +8.85740,       6.73301,       +8.85711,  2272316.20, -3177827.02,  5143074.74,      52.962336,       +2.728207,   93981.41,  238182.34,   20732.42,            21200.40,  -505.22,  48659.03,           58463.67,      1.66,      2.88,           2.88,  +2.55,  +0.67
  0,     UK0032,       0,  0.000000, 2459443.436962614302,  18.20261,  24.33816,               85.80957,  27.86788,        85.81199,       27.87178,     18.20261,     +24.33816,      18.19803,      +24.33969,  2279081.82, -3170420.16,  5161782.26,      53.076562,       +2.873715,  107677.00,  223861.99,       0.00,               27.10,    39.96,      0.00,           58602.70,    -10.27,    -14.01,          16.01,  +3.60,  +1.85
  1,     UK0032,       0,  0.040196, 2459443.436963079497,  18.04216,  23.93847,               86.23144,  27.66331,        86.23440,       27.66806,     18.04216,     +23.93847,      18.03676,      +23.94032,  2278300.75, -3171275.26,  5159622.53,      53.063408,       +2.856917,  106093.88,  222048.68,    2450.66,             2423.56,    60.25,  60967.66,           58602.70,    -12.42,    -16.94,          19.51,  +2.24,  +0.51
  2,     UK0032,       0,  0.080384, 2459443.436963544693,  17.86740,  23.53598,               86.66561,  27.46468,        86.66240,       27.45955,     17.86740,     +23.53598,      17.87375,      +23.53397,  2277519.18, -3172130.91,  5157461.43,      53.050238,       +2.840111,  104510.28,  220246.68,    4902.87,             4875.77,   136.77,  61018.53,           58602.70,     13.34,     18.20,          21.13,  +1.50,  -0.21
  3,     UK0032,       1,  0.120592, 2459443.436964009888,  17.77203,  23.16134,               87.01629,  27.23884,        87.03883,       27.27461,     17.77203,     +23.16134,      17.73059,      +23.17529,  2276839.73, -3172874.76,  5155582.69,      53.038781,       +2.825481,  103134.00,  218689.18,    7034.68,             7007.58,  -108.30,  53019.52,           58602.70,    -92.66,   -126.15,         147.63,  +1.13,  -0.57
  4,     UK0032,       0,  0.160752, 2459443.436964475084,  17.57358,  22.78326,               87.44931,  27.07188,        87.44888,       27.07120,     17.57358,     +22.78326,      17.57505,      +22.78300,  2276107.91, -3173675.94,  5153559.14,      53.026433,       +2.809738,  101652.10,  217023.44,    9330.81,             9303.71,  -186.20,  57174.55,           57839.39,      1.75,      2.39,           2.81,  +1.20,  -0.48
  5,     UK0032,       0,  0.200952, 2459443.436964940280,  17.41414,  22.36486,               87.88043,  26.85035,        87.88265,       26.85383,     17.41414,     +22.36486,      17.41090,      +22.36622,  2275342.88, -3174513.47,  5151443.78,      53.013518,       +2.793290,  100103.44,  215295.08,   11731.12,            11704.02,  -162.30,  59709.26,           57888.39,     -8.91,    -12.15,          14.44,  +1.32,  -0.35
  6,     UK0032,       0,  0.241188, 2459443.436965405941,  17.22784,  21.87628,               88.38264,  26.59096,        88.38719,       26.59806,     17.22784,     +21.87628,      17.22054,      +21.87904,  2274464.53, -3175475.08,  5149015.04,      52.998678,       +2.774432,   98326.01,  213328.35,   14487.01,            14459.92,   215.07,  68493.23,           59043.53,    -18.03,    -24.59,          29.48,  +1.22,  -0.43
  7,     UK0032,       0,  0.281368, 2459443.436965870671,  17.03489,  21.46350,               88.83398,  26.39257,        88.82274,       26.37513,     17.03489,     +21.46350,      17.05644,      +21.45671,  2273715.95, -3176294.61,  5146945.15,      52.986022,       +2.758338,   96811.70,  211664.72,   16835.73,            16808.63,   188.56,  58454.80,           59475.59,     43.95,     60.04,          72.50,  +1.51,  -0.12
  8,     UK0032,       0,  0.321576, 2459443.436966336332,  16.88608,  21.03669,               89.25950,  26.15630,        89.25615,       26.15114,     16.88608,     +21.03669,      16.89345,      +21.03468,  2272979.68, -3177100.66,  5144909.30,      52.973566,       +2.742508,   95322.77,  210041.14,   19145.81,            19118.71,   121.76,  57453.32,           59542.34,     12.93,     17.66,          21.49,  +1.31,  -0.30
  9,     UK0032,       0,  0.361752, 2459443.436966801062,  16.72289,  20.64989,               89.66671,  25.95868,        89.65622,       25.94259,     16.72289,     +20.64989,      16.74318,      +20.64363,  2272307.51, -3177836.54,  5143050.70,      52.962188,       +2.728043,   93963.86,  208569.45,   21254.77,            21227.68,  -144.26,  52493.11,           59192.02,     40.11,     54.80,          67.16,  +2.30,  +0.70

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.