Orbital Analysis for matched events on 20210813_234231.375_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 66.27° Bg 40.07° Vg 48.88km/s
mass 0.00498g, abs. mag 0.9
Path Details
------------
start 0.18° 51.06° 107.36km
end   0.09° 50.99° 98.54km

Orbit Details
-------------
Semimajor axis 1.41A.U., eccentricity 0.39, inclination 102.03°, Period 1.68Y, LA Sun 141.14°, last Perihelion 2021-06-27

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: 2459440.487863146700
Time: 2021-08-13 23:42:31.375875 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002C
 Convergence angle = 1.22252 deg
 R.A. =  29.14325  Dec = +45.46839 deg
Intersection 2 - Stations: UK002B and UK002W
 Convergence angle = 9.32074 deg
 R.A. =  50.45026  Dec = +60.08849 deg
Intersection 3 - Stations: UK002C and UK002W
 Convergence angle = 8.17695 deg
 R.A. =  54.45496  Dec = +62.17539 deg

Best intersection: Stations UK002B and UK002W with Qconv = 9.32 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3055941.18 +/- 1058.59 m
 Y =  -2710115.06 +/- 499.13 m
 Z =   5021122.15 +/- 974.82 m
 Vx =    15455.29 +/- 8141.82 m/s
 Vy =    18947.08 +/- 1898.20 m/s
 Vz =    43754.05 +/- 4908.74 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.390005e+05, +2.978047e+05, +5.688086e+05, +1.386603e+06, -6.244356e+04, -6.168847e+05
+2.978047e+05, +1.401399e+05, +2.667634e+05, +6.114136e+05, -3.608477e+04, -3.023780e+05
+5.688086e+05, +2.667634e+05, +5.116889e+05, +1.291833e+06, -4.626359e+04, -5.333577e+05
+1.386603e+06, +6.114136e+05, +1.291833e+06, +1.155095e+07, +2.045556e+06, +2.658967e+06
-6.244356e+04, -3.608477e+04, -4.626359e+04, +2.045556e+06, +8.649951e+05, +1.804645e+06
-6.168847e+05, -3.023780e+05, -5.333577e+05, +2.658967e+06, +1.804645e+06, +4.312690e+06

Timing offsets (from input data):
    UK002B: 0.000000 s
    UK002C: 0.001171 s
    UK002W: 0.001579 s

Reference point on the trajectory:
  Time: 2021-08-13 23:42:31.375875 UTC
  Lon     = ++0.177808 +/- 0.0151 deg
  Lat     = +51.057745 +/- 0.0023 deg
  Lat geo = +50.872599 +/- 0.0023 deg
  Ht      =  107359.60 +/- 1047.40 m

  JD dynamic   = 2459440.488663887605 
  LST apparent = 318.4322713159 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.79559 +/- 17.6857 deg
  Dec       = +60.80218 +/- 3.2600 deg
  Azimuth   =  40.81759 +/- 9.3565 deg
  Elevation = +41.78305 +/- 3.2675 deg
  Vavg      =  55.40114 +/- 5.9260 km/s
  Vinit     =  50.12260 +/- 4.1745 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.76716 +/- 17.6857 deg
  Dec       = +60.50608 +/- 3.2600 deg
  Azimuth   =  41.16135 +/- 9.3565 deg
  Elevation = +41.63468 +/- 3.2675 deg
  Vavg      =  55.54699 +/- 5.9260 km/s
  Vinit     =  50.26844 +/- 4.1745 km/s
Radiant (geocentric, J2000):
  R.A.   =  51.45836 +/- 17.7830 deg
  Dec    = +60.37594 +/- 3.0994 deg
  Vg     =  48.87856 +/- 4.2810 km/s
  Vinf   =  50.12260 +/- 4.1745 km/s
  Zc     =  48.35718 +/- 3.2819 deg
  Zg     =  49.00366 +/- 3.4559 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  66.26555 +/- 10.8033 deg
  Bg     = +40.07462 +/- 1.7377 deg
  Vh     =  33.53074 +/- 1.8528 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 105.76643 +/- 24.9558 deg
  Bh     = +69.79589 +/- 5.7110 deg
  Vh_x   =   3.14657 +/- 7.1782 km/s
  Vh_y   = -11.14468 +/- 2.6440 km/s
  Vh_z   = -31.46753 +/- 2.0618 km/s
Orbit:
  La Sun = 141.137158 +/- -0.0000 deg
  a      =   1.414693 +/- 2.1396 AU
  e      =   0.391774 +/- 0.1474
  i      = 102.025777 +/- 11.0347 deg
  peri   = 117.697988 +/- 16.1682 deg
  node   = 141.136964 +/- 0.0007 deg
  Pi     = 258.834953 +/- 16.1675 deg
  q      =   0.860452 +/- 0.1067 AU
  f      =  62.298315 +/- 16.1682 deg
  M      =  28.090797 +/- nan deg
  Q      =   1.968933 +/- 4.3193 AU
  n      =   0.585749 +/- 0.1323 deg/day
  T      =   1.682650 +/- 182465607.1697 years
  Last perihelion JD = 2459392.531546 (2021-06-27 00:45:25.594752) +/- 5.4717 days
  Tj     =   3.478835 +/- 0.8691
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.732623e-02, +8.389912e-04, +9.259856e-01, -5.514274e-08, +1.599514e-02, +7.213716e-04
q   , +8.389912e-04, +2.987733e-03, +2.657136e-01, -3.009243e-07, +9.398607e-03, +4.620070e-03
Tp  , +9.259856e-01, +2.657136e-01, +6.633785e+01, -2.497308e-05, +1.504634e+00, +3.767530e-01
node, -5.514274e-08, -3.009243e-07, -2.497308e-05, +3.095706e-11, -9.196144e-07, -4.758971e-07
peri, +1.599514e-02, +9.398607e-03, +1.504634e+00, -9.196144e-07, +4.004682e-02, +1.401756e-02
i   , +7.213716e-04, +4.620070e-03, +3.767530e-01, -4.758971e-07, +1.401756e-02, +7.318196e-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: UK002B
  Avg. res. = 6.770e-07 s
  Stddev    = 8.23e-04 s

Begin point on the trajectory:
  Lon =     0.177858 +/- 0.0151 deg
  Lat =    51.057782 +/- 0.0023 deg
  Ht  = 107364.51 +/- 1052.19 m
End point on the trajectory:
  Lon =     0.086219 +/- 0.0162 deg
  Lat =    50.991522 +/- 0.0016 deg
  Ht  = 98538.31 +/- 1097.85 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   107364.51,    98538.31,          0.012497,     27.53,     18.43,              32.63, 0.2907,    True,    True, {"ff_name": "FF_UK002B_20210813_234223_535_0324608.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   105759.75,    99694.39,          0.014965,     37.90,     25.66,              54.46, 0.6621,    True,    True, {"ff_name": "FF_UK002C_20210813_234225_531_0318208.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,   3.493971,   5.894498,   105575.43,   101217.71,          0.020784,     55.90,     51.30,              55.84, 0.6847,    True,    True, {"ff_name": "FF_UK002W_20210813_234226_519_0315392.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,     UK002B,       0,  0.000000, 2459440.487863146700,  24.63119,  40.17823,               75.46562,  43.07186,        75.46500,       43.06850,     24.63119,     +40.17823,      24.63502,      +40.17658,  3055943.45, -2710112.28,  5021128.58,      51.057782,       +0.177858,  107364.51,  155731.99,       0.00,                7.37,   529.09,      0.00,           54924.23,      5.11,      7.65,          12.18,  +4.23,  +3.27
  1,     UK002B,       0,  0.040040, 2459440.487863610033,  24.44122,  39.85770,               75.93576,  42.99561,        75.94119,       43.02391,     24.44122,     +39.85770,      24.40879,      +39.87157,  3055281.68, -2710923.56,  5019255.10,      51.047072,       +0.163017,  105934.69,  153799.87,    2146.17,             2138.80,   297.20,  53600.58,           54924.23,    -42.69,    -63.72,         102.86,  +2.26,  +1.33
  2,     UK002B,       0,  0.080024, 2459440.487864072900,  24.18397,  39.55832,               76.42535,  42.97282,        76.42606,       42.97641,     24.18397,     +39.55832,      24.18015,      +39.56008,  3054623.48, -2711730.46,  5017391.74,      51.036414,       +0.148256,  104512.96,  151884.01,    4280.74,             4273.38,    65.69,  53385.72,           54924.23,     -5.34,     -8.00,          13.06,  +1.69,  +0.78
  3,     UK002B,       0,  0.120036, 2459440.487864535768,  23.92737,  39.20914,               76.96900,  42.91901,        76.96929,       42.92039,     23.92737,     +39.20914,      23.92625,      +39.20981,  3053904.21, -2712612.24,  5015355.47,      51.024759,       +0.132141,  102959.74,  149798.08,    6613.40,             6606.03,     9.27,  58298.90,           54924.23,     -2.03,     -3.04,           5.04,  +1.28,  +0.40
  4,     UK002B,       0,  0.160048, 2459440.487864999101,  23.68682,  38.86694,               77.49478,  42.85890,        77.49581,       42.86371,     23.68682,     +38.86694,      23.68196,      +38.86927,  3053224.31, -2713445.75,  5013430.66,      51.013735,       +0.116899,  101491.95,  147832.79,    8818.37,             8811.01,  -143.66,  55107.80,           55247.20,     -6.98,    -10.44,          17.53,  +1.28,  +0.43
  5,     UK002B,       0,  0.200064, 2459440.487865461968,  23.43995,  38.50525,               78.04562,  42.79008,        78.04817,       42.80147,     23.43995,     +38.50525,      23.42777,      +38.51075,  3052528.64, -2714298.59,  5011461.22,      51.002449,       +0.101309,   99990.54,  145829.41,   11074.47,            11067.10,  -243.19,  56379.91,           55501.32,    -16.33,    -24.43,          41.56,  +1.30,  +0.48
  6,     UK002B,       0,  0.240072, 2459440.487865925301,  23.18739,  38.14935,               78.59382,  42.72756,        78.59604,       42.73708,     23.18739,     +38.14935,      23.17754,      +38.15394,  3051855.57, -2715123.73,  5009555.76,      50.991522,       +0.086219,   98538.31,  143898.10,   13257.28,            13249.92,  -394.56,  54559.35,           55491.15,    -13.47,    -20.17,          34.77,  +1.74,  +0.95
  0,     UK002C,       0,  0.045502, 2459440.487863261253,  13.52441,  20.04708,              103.18559,  35.91887,       103.17421,       35.90029,     13.52441,     +20.04708,      13.54469,      +20.03888,  3055200.70, -2711022.84,  5019025.85,      51.045761,       +0.161348,  105759.75,  177423.51,       0.00,             2401.43,  -107.44,      0.00,           54985.17,     36.01,     53.18,          74.66,  +1.93,  +0.68
  1,     UK002C,       0,  0.085722, 2459440.487863726914,  13.28945,  19.51839,              103.81441,  35.65771,       103.80715,       35.64602,     13.28945,     +19.51839,      13.30238,      +19.51324,  3054475.31, -2711912.11,  5016972.28,      51.034014,       +0.145096,  104192.97,  175861.20,    2352.47,             4753.90,    38.27,  58490.03,           54985.17,     22.53,     33.26,          47.12,  +1.55,  +0.32
  2,     UK002C,       0,  0.125914, 2459440.487864192110,  13.07695,  19.04609,              104.37594,  35.42420,       104.37067,       35.41580,     13.07695,     +19.04609,      13.08647,      +19.04239,  3053836.45, -2712695.31,  5015163.65,      51.023661,       +0.130763,  102813.44,  174498.95,    4424.35,             6825.78,   -67.24,  51549.64,           54985.17,     16.13,     23.81,          33.99,  +1.21,  +0.00
  3,     UK002C,       0,  0.166118, 2459440.487864657305,  12.82941,  18.52931,              105.00109,  35.17586,       104.98978,       35.15805,     12.82941,     +18.52931,      12.84939,      +18.52145,  3053141.51, -2713547.26,  5013196.26,      51.012393,       +0.115187,  101313.23,  173034.07,    6678.10,             9079.52,     0.78,  56057.71,           54985.17,     33.98,     50.19,          72.25,  +1.44,  +0.25
  4,     UK002C,       0,  0.206362, 2459440.487865122966,  12.58515,  17.95082,              105.66813,  34.87569,       105.66520,       34.87114,     12.58515,     +17.95082,      12.59080,      +17.94881,  3052391.39, -2714466.85,  5011072.68,      51.000221,       +0.098388,   99694.39,  171472.97,    9110.78,            11512.20,   240.38,  60448.26,           56071.62,      8.63,     12.75,          18.52,  +1.53,  +0.36
  0,     UK002W,       0,  0.048522, 2459440.487863273360,  19.23857,  16.33322,              100.60492,  29.23034,       100.62223,       29.25572,     19.23857,     +16.33322,      19.20956,      +16.34308,  3055115.37, -2711127.44,  5018784.29,      51.044380,       +0.159451,  105575.43,  210604.74,       0.00,             2678.14,    -0.75,      0.00,           54003.56,    -73.46,    -79.94,         106.33,  +2.44,  +0.82
  1,     UK002W,       0,  0.088650, 2459440.487863737624,  19.04555,  15.90646,              101.08014,  29.02014,       101.07954,       29.01926,     19.04555,     +15.90646,      19.04672,      +15.90612,  3054431.73, -2711965.54,  5016848.88,      51.033308,       +0.144126,  104098.84,  209172.87,    2217.11,             4895.26,    36.62,  55251.05,           54003.56,      2.52,      2.75,           3.67,  +1.82,  +0.22
  2,     UK002W,       0,  0.128770, 2459440.487864201888,  18.86776,  15.50718,              101.52113,  28.82083,       101.50481,       28.79716,     18.86776,     +15.50718,      18.89515,      +15.49797,  3053801.55, -2712738.10,  5015064.84,      51.023095,       +0.129986,  102738.09,  207864.52,    4260.83,             6938.97,   -81.81,  50939.98,           54003.56,     67.78,     73.96,          99.55,  +1.97,  +0.38
  3,     UK002W,       0,  0.168958, 2459440.487864667084,  18.73314,  15.03237,              101.97854,  28.53574,       101.98415,       28.54383,     18.73314,     +15.03237,      18.72440,      +15.03551,  3053097.25, -2713601.51,  5013070.98,      51.011675,       +0.114202,  101217.71,  206417.70,    6544.90,             9223.04,    20.82,  56834.75,           54003.56,    -23.07,    -25.14,          34.10,  +2.46,  +0.89

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.