Orbital Analysis for matched events on 20210816_221816.197_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 66.99° Bg 38.35° Vg 55.91km/s
mass 0.02881g, abs. mag -0.6
Path Details
------------
start 0.41° 51.06° 109.55km
end   0.32° 50.98° 102.51km

Orbit Details
-------------
Semimajor axis 3.16A.U., eccentricity 0.70, inclination 110.98°, Period 5.61Y, LA Sun 143.96°, last Perihelion 2021-07-21

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: 2459443.429354132619
Time: 2021-08-16 22:18:16.197058 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002N
 Convergence angle = 11.46360 deg
 R.A. =  54.97255  Dec = +59.16867 deg

Best intersection: Stations UK000F and UK002N with Qconv = 11.46 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2073626.34 +/- 622.97 m
 Y =  -3520549.18 +/- 192.91 m
 Z =   5022866.80 +/- 379.97 m
 Vx =    17369.21 +/- 9282.59 m/s
 Vy =    23218.46 +/- 11086.46 m/s
 Vz =    49070.92 +/- 19280.55 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.089402e+05, -6.136200e+04, +1.324910e+05, -1.140478e+05, -1.005509e+06, -1.487137e+06
-6.136200e+04, +1.929959e+04, -3.922217e+04, +6.335443e+04, +3.416202e+05, +5.156174e+05
+1.324910e+05, -3.922217e+04, +8.497976e+04, -1.140889e+05, -6.572483e+05, -1.003166e+06
-1.140478e+05, +6.335443e+04, -1.140889e+05, +2.644667e+07, +2.990116e+07, +6.741296e+07
-1.005509e+06, +3.416202e+05, -6.572483e+05, +2.990116e+07, +4.281495e+07, +8.870834e+07
-1.487137e+06, +5.156174e+05, -1.003166e+06, +6.741296e+07, +8.870834e+07, +1.894139e+08

Timing offsets (from input data):
    UK000F: -0.003213 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 22:18:16.197058 UTC
  Lon     = ++0.407859 +/- 0.0057 deg
  Lat     = +51.058440 +/- 0.0011 deg
  Lat geo = +50.873358 +/- 0.0011 deg
  Ht      =  109539.21 +/- 549.48 m

  JD dynamic   = 2459443.430154873524 
  LST apparent = 300.4983614945 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.20066 +/- 5.8380 deg
  Dec       = +59.42089 +/- 0.3804 deg
  Azimuth   =  34.07487 +/- 2.7054 deg
  Elevation = +33.10764 +/- 2.0583 deg
  Vavg      =  54.03425 +/- 1.6032 km/s
  Vinit     =  56.99774 +/- 22.1613 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  52.97558 +/- 5.8380 deg
  Dec       = +59.18341 +/- 0.3804 deg
  Azimuth   =  34.36999 +/- 2.7054 deg
  Elevation = +33.01586 +/- 2.0583 deg
  Vavg      =  54.17469 +/- 1.6032 km/s
  Vinit     =  57.13817 +/- 22.1613 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.57212 +/- 5.8535 deg
  Dec    = +58.91405 +/- 0.3606 deg
  Vg     =  55.90726 +/- 1.4385 km/s
  Vinf   =  56.99774 +/- 1.4124 km/s
  Zc     =  57.04572 +/- 2.0634 deg
  Zg     =  57.64721 +/- 2.1146 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  66.98549 +/- 3.7703 deg
  Bg     = +38.35229 +/- 0.9201 deg
  Vh     =  38.36006 +/- 1.3375 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.60732 +/- 10.3195 deg
  Bh     = +64.73352 +/- 1.4482 deg
  Vh_x   =  -0.11221 +/- 2.8715 km/s
  Vh_y   = -16.37280 +/- 0.8322 km/s
  Vh_z   = -34.69025 +/- 1.6036 km/s
Orbit:
  La Sun = 143.963401 +/- 0.0000 deg
  a      =   3.158541 +/- 26.1317 AU
  e      =   0.703515 +/- 0.1097
  i      = 110.984415 +/- 0.6376 deg
  peri   = 144.897086 +/- 11.8005 deg
  node   = 143.962053 +/- 0.0000 deg
  Pi     = 288.859139 +/- 11.8005 deg
  q      =   0.936460 +/- 0.0386 AU
  f      =  35.098923 +/- 11.8006 deg
  M      =   4.577568 +/- nan deg
  Q      =   5.380622 +/- 52.2672 AU
  n      =   0.175580 +/- 0.0658 deg/day
  T      =   5.613458 +/- 304543468.3165 years
  Last perihelion JD = 2459417.358978 (2021-07-21 20:36:55.687774) +/- 7.0794 days
  Tj     =   1.251138 +/- 0.6590
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.959085e-03, +1.951383e-03, +3.800584e-01, -4.046517e-08, +9.400822e-03, +5.416908e-04
q   , +1.951383e-03, +1.205881e-03, +2.141947e-01, -2.424442e-08, +5.450424e-03, +3.249245e-04
Tp  , +3.800584e-01, +2.141947e-01, +3.957492e+01, -4.511910e-06, +9.946890e-01, +6.044544e-02
node, -4.046517e-08, -2.424442e-08, -4.511910e-06, +7.290084e-13, -1.131920e-07, -9.771994e-09
peri, +9.400822e-03, +5.450424e-03, +9.946890e-01, -1.131920e-07, +2.509908e-02, +1.516587e-03
i   , +5.416908e-04, +3.249245e-04, +6.044544e-02, -9.771994e-09, +1.516587e-03, +1.309901e-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: UK002N
  Avg. res. = 1.552e-07 s
  Stddev    = 3.94e-04 s

Begin point on the trajectory:
  Lon =     0.407988 +/- 0.0058 deg
  Lat =    51.058561 +/- 0.0011 deg
  Ht  = 109549.99 +/- 554.92 m
End point on the trajectory:
  Lon =     0.322144 +/- 0.0028 deg
  Lat =    50.979362 +/- 0.0008 deg
  Ht  = 102513.53 +/- 277.35 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108358.34,   103529.40,          0.043253,    139.56,      9.12,              70.96, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20210816_221808_448_0202240.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   109549.99,   102513.53,          0.014220,     32.91,      4.40,              50.98, 1.0000,   False,    True, {"ff_name": "FF_UK002N_20210816_221808_080_0208896.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,     UK000F,       0,  0.039993, 2459443.429354828317, 339.79319,   8.07558,              127.64328,  34.86891,       127.61851,       34.83376,    339.79319,      +8.07558,     339.82857,       +8.05505,  2072967.39, -3521430.05,  5021005.15,      51.045179,       +0.393378,  108358.34,  186402.76,       0.00,             2162.38,   375.53,      0.00,           53744.83,      8.66,    131.84,         146.20,  +4.23,  +2.88
  1,     UK000F,       0,  0.080345, 2459443.429355295375, 339.51589,   7.56428,              128.24000,  34.55858,       128.22969,       34.54410,    339.51589,      +7.56428,     339.53067,       +7.55580,  2072373.90, -3522223.40,  5019328.44,      51.033229,       +0.380396,  107295.21,  185889.06,    1947.55,             4109.94,    23.11,  48264.12,           53744.83,      3.59,     54.33,          60.42,  +1.95,  +0.60
  2,     UK000F,       0,  0.120705, 2459443.429355762433, 339.13842,   7.00800,              128.96443,  34.25460,       128.92930,       34.20583,    339.13842,      +7.00800,     339.18814,       +6.97936,  2071692.96, -3523133.66,  5017404.66,      51.019512,       +0.365529,  106075.90,  185324.35,    4182.10,             6344.48,   -42.78,  55365.33,           53744.83,     11.97,    183.23,         204.37,  +1.80,  +0.46
  3,     UK000F,       0,  0.161101, 2459443.429356229957, 338.77820,   6.41272,              129.68871,  33.90464,       129.64929,       33.85056,    338.77820,      +6.41272,     338.83365,       +6.38088,  2070990.55, -3524072.60,  5015420.25,      51.005355,       +0.350202,  104818.72,  184768.70,    6487.07,             8649.45,   -40.29,  57059.36,           53744.83,     13.26,    203.41,         227.56,  +2.76,  +1.43
  4,     UK000F,       0,  0.201561, 2459443.429356698412, 338.48045,   5.75569,              130.37708,  33.46729,       130.38607,       33.47948,    338.48045,      +5.75569,     338.46869,       +5.76289,  2070269.86, -3525035.99,  5013384.18,      50.990822,       +0.334483,  103529.40,  184227.14,    8852.04,            11014.43,    18.56,  58452.16,           55074.04,     -3.05,    -45.92,          51.52,  +2.61,  +1.28
  0,     UK002N,       0,  0.000000, 2459443.429354132619, 342.74181,  31.00019,              105.53782,  52.33475,       105.54219,       52.35178,    342.74181,     +31.00019,     342.72537,      +31.01042,  2073632.36, -3520541.14,  5022883.80,      51.058561,       +0.407988,  109549.99,  137600.27,       0.00,               19.74,   512.42,      0.00,           52896.51,      5.47,    -41.04,          62.06,  +2.71,  +2.02
  1,     UK002N,       0,  0.040280, 2459443.429354599211, 342.27050,  30.48399,              106.60150,  52.24930,       106.60158,       52.24959,    342.27050,     +30.48399,     342.27014,      +30.48416,  2073043.94, -3521327.71,  5021221.43,      51.046720,       +0.395114,  108495.50,  136464.46,    1930.91,             1911.17,   107.98,  47937.14,           52896.51,      0.09,     -0.70,           1.06,  +0.87,  +0.19
  2,     UK002N,       0,  0.080612, 2459443.429355065804, 341.73510,  29.88264,              107.82521,  52.13489,       107.82036,       52.11909,    341.73510,     +29.88264,     341.75021,      +29.87321,  2072375.15, -3522221.72,  5019331.99,      51.033254,       +0.380506,  107297.45,  135196.53,    4125.56,             4105.82,     3.80,  54414.73,           52896.51,     -5.04,     37.60,          57.88,  +0.77,  +0.12
  3,     UK002N,       0,  0.120980, 2459443.429355532862, 341.21129,  29.23279,              109.08799,  51.97075,       109.08743,       51.96909,    341.21129,     +29.23279,     341.21312,      +29.23180,  2071688.49, -3523139.63,  5017392.04,      51.019422,       +0.365515,  106067.90,  133919.98,    6378.89,             6359.15,   -43.76,  55819.63,           52896.51,     -0.53,      3.92,           6.10,  +0.77,  +0.14
  4,     UK002N,       0,  0.161380, 2459443.429356000852, 340.66992,  28.53701,              110.41411,  51.77470,       110.42157,       51.79509,    340.66992,     +28.53701,     340.65094,      +28.54912,  2070974.06, -3524094.66,  5015373.65,      51.005023,       +0.349928,  104789.21,  132619.88,    8723.32,             8703.58,    -2.03,  58030.55,           54268.25,      6.40,    -47.96,          75.26,  +0.82,  +0.21
  5,     UK002N,       0,  0.201744, 2459443.429356467910, 340.07580,  27.87389,              111.75575,  51.62487,       111.74819,       51.60571,    340.07580,     +27.87389,     340.09464,      +27.86254,  2070271.56, -3525033.72,  5013388.99,      50.990857,       +0.334603,  103532.45,  131369.83,   11028.58,            11008.84,     2.57,  57111.70,           55066.06,     -6.03,     44.83,          71.02,  +0.94,  +0.35
  6,     UK002N,       0,  0.242084, 2459443.429356934503, 339.64450,  27.29158,              112.83246,  51.43366,       112.83469,       51.43901,    339.64450,     +27.29158,     339.64016,      +27.29474,  2069701.80, -3525795.35,  5011779.32,      50.979362,       +0.322144,  102513.53,  130375.96,   12898.27,            12878.53,  -427.03,  46348.37,           54417.08,      1.67,    -12.46,          19.89,  +1.71,  +1.13

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.