Orbital Analysis for matched events on 20210816_002629.483_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 68.87° Bg 36.98° Vg 58.27km/s
mass 0.10790g, abs. mag -2.2
Path Details
------------
start -3.31° 50.99° 109.06km
end   -3.45° 50.90° 96.00km

Orbit Details
-------------
Semimajor axis 6.58A.U., eccentricity 0.86, inclination 113.70°, Period 16.87Y, LA Sun 143.09°, last Perihelion 2021-07-20

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: 2459442.518396803178
Time: 2021-08-16 00:26:29.483795 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK000T
 Convergence angle = 34.80249 deg
 R.A. =  57.58333  Dec = +58.07501 deg

Best intersection: Stations UK0006 and UK000T with Qconv = 34.80 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3467787.91 +/- 42.27 m
 Y =  -2171940.29 +/- 40.43 m
 Z =   5017458.29 +/- 21.50 m
 Vx =    17069.56 +/- 404.02 m/s
 Vy =    26041.77 +/- 409.85 m/s
 Vz =    50485.10 +/- 408.71 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.789383e+03, -1.541750e+03, -7.589773e+01, +6.451285e+03, -1.318817e+04, -9.891878e+03
-1.541750e+03, +1.654109e+03, +4.022178e+02, -5.313820e+03, +1.035509e+04, +7.198584e+03
-7.589773e+01, +4.022178e+02, +4.886088e+02, -4.577033e+02, -1.758250e+03, -2.487748e+03
+6.451285e+03, -5.313820e+03, -4.577033e+02, +3.991651e+04, -5.418962e+04, -2.911976e+04
-1.318817e+04, +1.035509e+04, -1.758250e+03, -5.418962e+04, +1.590068e+05, +1.388195e+05
-9.891878e+03, +7.198584e+03, -2.487748e+03, -2.911976e+04, +1.388195e+05, +1.380605e+05

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK000T: 0.000805 s

Reference point on the trajectory:
  Time: 2021-08-16 00:26:29.483795 UTC
  Lon     = +-3.307650 +/- 0.0002 deg
  Lat     = +50.987476 +/- 0.0004 deg
  Lat geo = +50.802284 +/- 0.0004 deg
  Ht      =  109073.01 +/- 35.32 m

  JD dynamic   = 2459442.519197544083 
  LST apparent = 327.9403181554 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  56.75642 +/- 0.6323 deg
  Dec       = +58.33513 +/- 0.0448 deg
  Azimuth   =  44.86308 +/- 0.2001 deg
  Elevation = +41.92561 +/- 0.2995 deg
  Vavg      =  59.51855 +/- 0.0123 km/s
  Vinit     =  59.31517 +/- 0.4516 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  56.76765 +/- 0.6323 deg
  Dec       = +58.09051 +/- 0.0448 deg
  Azimuth   =  45.13635 +/- 0.2001 deg
  Elevation = +41.78980 +/- 0.2995 deg
  Vavg      =  59.67570 +/- 0.0123 km/s
  Vinit     =  59.47231 +/- 0.4516 km/s
Radiant (geocentric, J2000):
  R.A.   =  57.04900 +/- 0.6237 deg
  Dec    = +58.02562 +/- 0.0446 deg
  Vg     =  58.26801 +/- 0.4596 km/s
  Vinf   =  59.31517 +/- 0.4516 km/s
  Zc     =  48.20579 +/- 0.2999 deg
  Zg     =  48.66234 +/- 0.2976 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.86534 +/- 0.3861 deg
  Bg     = +36.98115 +/- 0.1253 deg
  Vh     =  40.21416 +/- 0.4123 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  91.78282 +/- 0.5036 deg
  Bh     = +60.64704 +/- 0.5009 deg
  Vh_x   =   0.61328 +/- 0.1929 km/s
  Vh_y   = -19.70297 +/- 0.5004 km/s
  Vh_z   = -35.05133 +/- 0.2010 km/s
Orbit:
  La Sun = 143.087893 +/- -0.0000 deg
  a      =   6.577516 +/- 3.2579 AU
  e      =   0.861664 +/- 0.0342
  i      = 113.698235 +/- 0.3533 deg
  peri   = 141.324873 +/- 0.6410 deg
  node   = 143.087129 +/- 0.0000 deg
  Pi     = 284.412003 +/- 0.6410 deg
  q      =   0.909905 +/- 0.0037 AU
  f      =  38.671277 +/- 0.6410 deg
  M      =   1.568659 +/- 0.5345 deg
  Q      =  12.245126 +/- 6.5178 AU
  n      =   0.058427 +/- 0.0191 deg/day
  T      =  16.869161 +/- 15.6764 years
  Last perihelion JD = 2459415.670869 (2021-07-20 04:06:03.103750) +/- 0.5068 days
  Tj     =   0.332616 +/- 0.2066
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.217878e-03, -5.530084e-05, +1.322728e-02, -1.611045e-08, +7.961199e-05, +2.185704e-04
q   , -5.530084e-05, +1.417786e-05, +6.318016e-04, +7.300939e-10, +3.486200e-05, -9.893578e-06
Tp  , +1.322728e-02, +6.318016e-04, +2.740200e-01, -1.751726e-07, +4.932199e-03, +2.377799e-03
node, -1.611045e-08, +7.300939e-10, -1.751726e-07, +2.153431e-13, -1.058585e-09, -2.921711e-09
peri, +7.961199e-05, +3.486200e-05, +4.932199e-03, -1.058585e-09, +1.321541e-04, +1.440016e-05
i   , +2.185704e-04, -9.893578e-06, +2.377799e-03, -2.921711e-09, +1.440016e-05, +3.964094e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.187165
 a2 = 12.076538

Mean time residuals from time vs. length:
  Station with reference time: UK0006
  Avg. res. = 5.135e-06 s
  Stddev    = 2.27e-03 s

Begin point on the trajectory:
  Lon =    -3.307774 +/- 0.0002 deg
  Lat =    50.987397 +/- 0.0004 deg
  Ht  = 109061.71 +/- 29.70 m
End point on the trajectory:
  Lon =    -3.452997 +/- 0.0001 deg
  Lat =    50.895924 +/- 0.0004 deg
  Ht  = 96002.31 +/- 64.18 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,  47.245338,   0.000000,   109061.71,    97551.84,          0.016415,     45.66,     38.18,             105.21, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20210816_002630_177_0389632.fits"}
    UK000T,   False,    -3.557111,    51.483925,   37.50,   1.056533,  16.299686,   104032.05,    96002.31,          0.001796,      3.68,      0.33,              65.23, 1.0000,   False,    True, {"ff_name": "FF_UK000T_20210816_002629_885_0378880.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,     UK0006,       0,  0.000000, 2459442.518396803178, 285.15865,   6.34621,              235.19011,  31.49357,       235.18372,       31.49421,    285.15865,      +6.34621,     285.16370,       +6.34398,  3467783.04, -2171947.71,  5017443.90,      50.987397,       -3.307774,  109061.71,  204152.86,       0.00,               16.91,  -332.34,      0.00,           61293.64,    -12.55,     15.00,          19.76,  +1.74,  +0.19
  1,     UK0006,       0,  0.040664, 2459442.518397273961, 284.86711,   5.67772,              235.08388,  30.77060,       235.08700,       30.77029,    284.86711,      +5.67772,     284.86479,       +5.67881,  3467009.61, -2173127.68,  5015156.39,      50.974866,       -3.327696,  107266.21,  204855.68,    2687.60,             2704.51,   -56.73,  66092.86,           61293.64,      6.20,     -7.41,           9.73,  +0.21,  -1.35
  2,     UK0006,       0,  0.081308, 2459442.518397744279, 284.57111,   5.03421,              234.99905,  30.06662,       234.99450,       30.06707,    284.57111,      +5.03421,     284.57509,       +5.03261,  3466253.18, -2174281.71,  5012919.16,      50.962601,       -3.347183,  105510.74,  205575.04,    5316.14,             5333.05,   161.00,  64672.23,           61293.64,     -9.13,     10.91,          14.27,  -0.26,  -1.82
  3,     UK0006,       0,  0.121816, 2459442.518398213200, 284.34826,   4.51666,              234.91716,  29.50793,       234.92231,       29.50741,    284.34826,      +4.51666,     284.34463,       +4.51849,  3465647.63, -2175205.55,  5011128.18,      50.952775,       -3.362817,  104105.83,  206174.99,    7420.36,             7437.27,  -137.51,  51945.88,           61293.64,     10.43,    -12.47,          16.27,  -0.30,  -1.87
  4,     UK0006,       0,  0.162464, 2459442.518398683518, 284.07011,   3.85419,              234.80718,  28.79618,       234.83074,       28.79381,    284.07011,      +3.85419,     284.05174,       +3.86259,  3464869.92, -2176392.05,  5008828.01,      50.940146,       -3.382848,  102302.05,  206972.19,   10122.84,            10139.76,   153.93,  66485.00,           61512.67,     48.16,    -57.58,          74.81,  -0.45,  -2.03
  5,     UK0006,       0,  0.202964, 2459442.518399152439, 283.85376,   3.33775,              234.72234,  28.24140,       234.76074,       28.23755,    283.85376,      +3.33775,     283.82340,       +3.35151,  3464259.78, -2177322.89,  5007023.46,      50.930231,       -3.398600,  100887.34,  207621.98,   12243.02,            12259.93,  -128.16,  52349.99,           60269.94,     79.15,    -94.68,         122.60,  -0.47,  -2.06
  6,     UK0006,       0,  0.243516, 2459442.518399621826, 283.57779,   2.78138,              234.67396,  27.62200,       234.68374,       27.62102,    283.57779,      +2.78138,     283.57081,       +2.78491,  3463578.85, -2178361.74,  5005009.54,      50.919157,       -3.416160,   99308.94,  208369.42,   14609.18,            14626.10,  -167.35,  58348.93,           59620.02,     20.37,    -24.34,          31.41,  -0.09,  -1.68
  7,     UK0006,       0,  0.284124, 2459442.518400091678, 283.30968,   2.15053,              234.57672,  26.94211,       234.59941,       26.93983,    283.30968,      +2.15053,     283.29223,       +2.15875,  3462820.58, -2179518.56,  5002766.89,      50.906817,       -3.435695,   97551.84,  209229.30,   17244.09,            17261.00,    58.88,  64886.24,           59788.10,     47.69,    -57.01,          73.27,  +0.92,  -0.68
  0,     UK000T,       0,  0.121351, 2459442.518398310989, 334.74685,  21.24396,              167.05501,  59.26362,       167.05384,       59.26307,    334.74685,     +21.24396,     334.74811,      +21.24350,  3465615.82, -2175254.08,  5011034.11,      50.952258,       -3.363665,  104032.05,  120648.98,       0.00,             7547.80,     0.60,      0.00,           58665.38,     -0.15,      1.70,           2.92,  -0.54,  -0.95
  1,     UK000T,       0,  0.162595, 2459442.518398788292, 334.08991,  20.34486,              168.47627,  58.46019,       168.47355,       58.45893,    334.08991,     +20.34486,     334.09231,      +20.34380,  3464911.00, -2176329.37,  5008949.53,      50.940813,       -3.381837,  102397.33,  119747.27,    2449.18,             9996.98,     3.39,  59382.67,           58665.38,     -0.35,      3.96,           6.85,  -0.64,  -1.03
  2,     UK000T,       0,  0.203863, 2459442.518399266060, 333.43533,  19.43015,              169.84554,  57.62923,       169.84592,       57.62941,    333.43533,     +19.43015,     333.43598,      +19.43030,  3464207.71, -2177402.33,  5006869.46,      50.929384,       -3.399971,  100766.63,  118891.23,    4893.07,            12440.87,    -0.54,  59220.01,           58665.38,      0.05,     -0.56,           0.97,  -0.61,  -0.99
  3,     UK000T,       0,  0.245099, 2459442.518399743363, 332.80028,  18.53354,              171.12827,  56.80329,       171.12952,       56.80385,    332.80028,     +18.53354,     332.80056,      +18.53403,  3463528.84, -2178438.04,  5004861.62,      50.918344,       -3.417481,   99193.03,  118107.21,    7252.09,            14799.89,   -87.44,  57207.72,           58665.38,      0.16,     -1.82,           3.18,  -0.18,  -0.54
  4,     UK000T,       0,  0.286383, 2459442.518400221132, 332.15369,  17.60471,              172.39078,  55.93625,       172.39586,       55.93849,    332.15369,     +17.60471,     332.15175,      +17.60669,  3462837.18, -2179493.25,  5002815.96,      50.907088,       -3.435318,   97590.27,  117352.07,    9655.54,            17203.34,  -132.76,  58217.45,           58448.50,      0.66,     -7.38,          13.02,  +0.65,  +0.30
  5,     UK000T,       0,  0.327667, 2459442.518400698900, 331.50684,  16.67347,              173.60916,  55.05702,       173.61064,       55.05766,    331.50684,     +16.67347,     331.50731,      +16.67405,  3462151.70, -2180539.03,  5000788.59,      50.895924,       -3.452997,   96002.31,  116647.97,   12037.51,            19585.31,  -199.56,  57697.14,           58279.14,      0.19,     -2.16,           3.83,  +1.43,  +1.10
  6,     UK000T,       1,  0.368871, 2459442.518401175737, 330.90758,  15.79756,              174.70117,  54.22101,       174.70226,       54.22148,    330.90758,     +15.79756,     330.90847,      +15.79799,  3461516.33, -2181508.36,  4998909.42,      50.885569,       -3.469397,   94530.84,  116035.37,   14245.35,            21793.15,  -435.74,  53583.20,           57716.30,      0.14,     -1.60,           2.86,  +2.97,  +2.65

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.