Orbital Analysis for matched events on 20210813_234720.662_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 68.77° Bg 38.41° Vg 59.62km/s
mass 0.02750g, abs. mag -0.3
Path Details
------------
start 0.81° 49.99° 107.11km
end   0.68° 49.89° 95.00km

Orbit Details
-------------
Semimajor axis -21.61A.U., eccentricity 1.04, inclination 112.21°, Period 1000000000.00Y, LA Sun 141.14°, 

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: 2459440.491211370565
Time: 2021-08-13 23:47:20.662417 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002N and UK002W
 Convergence angle = 17.03457 deg
 R.A. =  57.63441  Dec = +59.90625 deg

Best intersection: Stations UK002N and UK002W with Qconv = 17.03 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3212881.15 +/- 409.26 m
 Y =  -2669760.65 +/- 65.87 m
 Z =   4944350.82 +/- 26.66 m
 Vx =    17174.81 +/- 1841.75 m/s
 Vy =    25310.51 +/- 654.04 m/s
 Vz =    52370.48 +/- 838.69 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK002N: 0.000000 s
    UK002W: -0.000029 s

Reference point on the trajectory:
  Time: 2021-08-13 23:47:20.662417 UTC
  Lon     = ++0.811809 +/- 0.0030 deg
  Lat     = +49.992926 +/- 0.0024 deg
  Lat geo = +49.806446 +/- 0.0024 deg
  Ht      =  107097.63 +/- 225.50 m

  JD dynamic   = 2459440.492012111470 
  LST apparent = 320.2749332895 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  55.84058 +/- 2.9249 deg
  Dec       = +59.71250 +/- 0.8325 deg
  Azimuth   =  40.26631 +/- 1.9862 deg
  Elevation = +39.04785 +/- 0.8631 deg
  Vavg      =  56.71713 +/- 0.4486 km/s
  Vinit     =  60.64869 +/- 0.4380 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  55.78579 +/- 2.9249 deg
  Dec       = +59.46579 +/- 0.8325 deg
  Azimuth   =  40.54788 +/- 1.9862 deg
  Elevation = +38.93064 +/- 0.8631 deg
  Vavg      =  56.87061 +/- 0.4486 km/s
  Vinit     =  60.80216 +/- 0.4380 km/s
Radiant (geocentric, J2000):
  R.A.   =  56.15130 +/- 2.9445 deg
  Dec    = +59.38041 +/- 0.8218 deg
  Vg     =  59.62470 +/- 0.4454 km/s
  Vinf   =  60.64869 +/- 0.4380 km/s
  Zc     =  51.09454 +/- 0.8675 deg
  Zg     =  51.56087 +/- 0.8825 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.77291 +/- 2.1918 deg
  Bg     = +38.41206 +/- 0.3208 deg
  Vh     =  42.33723 +/- 0.0945 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  93.59192 +/- 5.3778 deg
  Bh     = +61.04714 +/- 0.2934 deg
  Vh_x   =   1.28401 +/- 1.8677 km/s
  Vh_y   = -20.45477 +/- 0.3069 km/s
  Vh_z   = -37.04585 +/- 0.1432 km/s
Orbit:
  La Sun = 141.140374 +/- 0.0000 deg
  a      = -21.611251 +/- 7.6795 AU
  e      =   1.041974 +/- 0.0083
  i      = 112.205155 +/- 1.2123 deg
  peri   = 142.656535 +/- 4.4833 deg
  node   = 141.139527 +/- 0.0001 deg
  Pi     = 283.796061 +/- 4.4832 deg
  q      =   0.907110 +/- 0.0201 AU
  f      =  37.339596 +/- 4.4833 deg
  M      =        nan +/- nan deg
  Q      = -44.129613 +/- 15.3599 AU
  n      =   0.009810 +/- 0.0026 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -0.691744 +/- 0.0485
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

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: UK002N
  Avg. res. = 1.605e-06 s
  Stddev    = 1.27e-03 s

Begin point on the trajectory:
  Lon =     0.811998 +/- 0.0029 deg
  Lat =    49.993070 +/- 0.0025 deg
  Ht  = 107114.89 +/- 216.92 m
End point on the trajectory:
  Lon =     0.678033 +/- 0.0022 deg
  Lat =    49.891935 +/- 0.0016 deg
  Ht  = 95003.77 +/- 145.98 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
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.001794,  37.174747,   107114.89,    95545.22,          0.012720,     43.41,     16.07,              77.53, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210813_234713_118_0332800.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,   0.003130,  36.092888,   103547.16,    95003.77,          0.023293,     93.83,     71.89,              70.67, 1.0000,    True,    True, {"ff_name": "FF_UK002W_20210813_234713_452_0322560.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,     UK002N,       0,  0.000000, 2459440.491211370565, 351.16838,  -2.07813,              141.78103,  29.96752,       141.76896,       29.95486,    351.16838,      -2.07813,     351.18293,       -2.08574,  3212888.91, -2669749.22,  4944374.48,      49.993070,       +0.811998,  107114.89,  209328.18,       0.00,               27.40,  1018.31,      0.00,           53023.00,     20.81,     56.25,          59.10,  +3.55,  +1.95
  1,     UK002N,       0,  0.040316, 2459440.491211837158, 350.96885,  -2.53369,              142.19546,  29.62408,       142.21076,       29.64005,    350.96885,      -2.53369,     350.95058,       -2.52405,  3212369.04, -2670515.35,  4942789.26,      49.983449,       +0.799190,  105958.53,  208991.36,    1835.80,             1808.40,   354.21,  45535.26,           53023.00,    -26.35,    -71.09,          74.83,  +1.92,  +0.32
  2,     UK002N,       0,  0.080680, 2459440.491212304216, 350.64377,  -3.08600,              142.78198,  29.23740,       142.77606,       29.23127,    350.64377,      -3.08600,     350.65122,       -3.08973,  3211700.40, -2671500.73,  4940750.40,      49.971067,       +0.782767,  104471.72,  208583.04,    4196.93,             4169.54,   267.32,  58496.06,           53023.00,     10.13,     27.38,          28.87,  +1.35,  -0.25
  3,     UK002N,       0,  0.121024, 2459440.491212771274, 350.36338,  -3.59860,              143.29955,  28.86809,       143.28817,       28.85634,    350.36338,      -3.59860,     350.37756,       -3.60576,  3211092.57, -2672396.49,  4938896.97,      49.959804,       +0.767822,  103120.55,  208233.93,    6343.34,             6315.95,   -33.09,  53202.60,           53023.00,     19.43,     52.53,          55.48,  +0.99,  -0.60
  4,     UK002N,       0,  0.161432, 2459440.491213238798, 350.03585,  -4.20722,              143.90326,  28.42481,       143.88885,       28.41001,    350.03585,      -4.20722,     350.05383,       -4.21628,  3210375.83, -2673452.75,  4936711.43,      49.946515,       +0.750231,  101527.83,  207851.24,    8874.34,             8846.95,    47.22,  62636.17,           55149.10,     24.51,     66.30,          70.14,  +0.81,  -0.78
  5,     UK002N,       0,  0.201840, 2459440.491213706788, 349.74453,  -4.80483,              144.45886,  27.97566,       144.46167,       27.97852,    349.74453,      -4.80483,     349.74201,       -4.80307,  3209689.18, -2674464.66,  4934617.67,      49.933776,       +0.733372,  100002.52,  207512.78,   11299.07,            11271.67,    21.26,  60006.02,           56450.78,     -4.76,    -12.86,          13.63,  +0.75,  -0.84
  6,     UK002N,       0,  0.242228, 2459440.491214174312, 349.43301,  -5.38195,              145.02217,  27.55036,       145.02235,       27.55054,    349.43301,      -5.38195,     349.43381,       -5.38184,  3209013.87, -2675459.87,  4932558.45,      49.921238,       +0.716790,   98502.90,  207207.07,   13683.79,            13656.40,   -43.50,  59045.40,           57193.44,     -0.30,     -0.81,           0.86,  +0.75,  -0.83
  7,     UK002N,       0,  0.282608, 2459440.491214641370, 349.13979,  -5.94547,              145.55602,  27.12868,       145.56126,       27.13398,    349.13979,      -5.94547,     349.13469,       -5.94218,  3208361.70, -2676420.97,  4930569.82,      49.909122,       +0.700771,   97055.17,  206937.43,   15986.76,            15959.37,  -189.52,  57032.45,           57489.32,     -8.85,    -23.91,          25.42,  +0.68,  -0.90
  8,     UK002N,       0,  0.323000, 2459440.491215108894, 348.82261,  -6.52949,              146.11830,  26.69381,       146.12053,       26.69605,    348.82261,      -6.52949,     348.82129,       -6.52810,  3207681.27, -2677423.72,  4928495.01,      49.896473,       +0.684067,   95545.22,  206683.47,   18389.54,            18362.14,  -236.47,  59486.47,           57760.57,     -3.74,    -10.12,          10.77,  +0.94,  -0.64
  9,     UK002N,       1,  0.363208, 2459440.491215574555, 348.62549,  -6.85148,              146.44929,  26.46063,       146.43639,       26.44770,    348.62549,      -6.85148,     348.64244,       -6.85957,  3207297.04, -2677989.96,  4927323.41,      49.889327,       +0.674562,   94692.75,  206549.78,   19746.34,            19718.94, -1318.23,  33744.42,           56594.61,     21.66,     58.61,          62.39,  +6.20,  +4.62
  0,     UK002W,       0,  0.107840, 2459440.491212612018,   8.72833,  -3.91430,              123.93150,  19.46256,       123.92185,       19.45006,      8.72833,      -3.91430,       8.74308,       -3.92026,  3211284.51, -2672113.63,  4939482.22,      49.963361,       +0.772545,  103547.16,  293124.15,       0.00,             5638.18,    88.75,      0.00,           60625.43,     48.07,     62.82,          55.66,  +2.82,  +0.48
  1,     UK002W,       0,  0.147920, 2459440.491213075817,   8.56413,  -4.31725,              124.30122,  19.20279,       124.29503,       19.19480,      8.56413,      -4.31725,       8.57390,       -4.32107,  3210629.99, -2673078.20,  4937486.42,      49.951229,       +0.756468,  102092.54,  292468.21,    2311.27,             7949.46,   -30.77,  57666.53,           60625.43,     30.71,     40.13,          35.64,  +1.60,  -0.73
  2,     UK002W,       0,  0.188012, 2459440.491213540081,   8.40612,  -4.74571,              124.67793,  18.91712,       124.68505,       18.92629,      8.40612,      -4.74571,       8.39637,       -4.74132,  3209946.74, -2674085.10,  4935403.03,      49.938555,       +0.739693,  100574.59,  291801.92,    4723.99,            10362.17,   -49.58,  60179.45,           60625.43,    -35.23,    -46.00,          40.96,  +1.31,  -1.02
  3,     UK002W,       0,  0.228116, 2459440.491214003880,   8.23892,  -5.20576,              125.07860,  18.60814,       125.10154,       18.63757,      8.23892,      -5.20576,       8.20597,       -5.19164,  3209217.90, -2675159.19,  4933180.60,      49.925027,       +0.721811,   98955.93,  291112.25,    7297.72,            12935.90,    91.89,  64176.39,           60625.43,   -113.10,   -147.53,         131.72,  +1.45,  -0.87
  4,     UK002W,       0,  0.268132, 2459440.491214467213,   8.02505,  -5.55469,              125.45987,  18.41740,       125.44499,       18.39837,      8.02505,      -5.55469,       8.04813,       -5.56385,  3208618.03, -2676043.22,  4931351.44,      49.913885,       +0.707064,   97624.13,  290558.97,    9416.01,            15054.19,  -216.73,  52936.14,           59430.79,     73.00,     95.44,          85.30,  +1.34,  -0.98
  5,     UK002W,       0,  0.308256, 2459440.491214931477,   7.89205,  -6.01855,              125.82879,  18.08585,       125.85071,       18.11382,      7.89205,      -6.01855,       7.86098,       -6.00508,  3207909.67, -2677087.12,  4929191.48,      49.900720,       +0.689681,   96052.02,  289925.92,   11917.40,            17555.58,  -148.81,  62341.47,           59505.40,   -107.38,   -140.09,         125.58,  +1.38,  -0.93
  6,     UK002W,       0,  0.348292, 2459440.491215394810,   7.74720,  -6.30611,              126.11285,  17.91137,       126.12206,       17.92310,      7.74720,      -6.30611,       7.73506,       -6.30045,  3207437.23, -2677783.36,  4927750.89,      49.891935,       +0.678033,   95003.77,  289512.02,   13585.71,            19223.89,  -908.64,  41670.20,           57623.37,    -45.01,    -58.77,          52.74,  +3.85,  +1.54

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.