Orbital Analysis for matched events on 20210813_003844.394_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.18° Bg 36.71° Vg 58.59km/s
mass 0.01219g, abs. mag 0.4
Path Details
------------
start -2.57° 50.23° 106.38km
end   -2.69° 50.16° 95.31km

Orbit Details
-------------
Semimajor axis 6.29A.U., eccentricity 0.85, inclination 114.79°, Period 15.77Y, LA Sun 140.21°, last Perihelion 2021-07-19

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: 2459439.526902710088
Time: 2021-08-13 00:38:44.423642 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 13.29212 deg
 R.A. =  49.35988  Dec = +56.88969 deg

Best intersection: Stations UK000H and UK002D with Qconv = 13.29 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3555567.51 +/- 173.47 m
 Y =  -2152621.64 +/- 254.49 m
 Z =   4962440.92 +/- 89.85 m
 Vx =    20785.41 +/- 943.69 m/s
 Vy =    25014.54 +/- 1534.42 m/s
 Vz =    49980.53 +/- 765.75 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.166993e+04, -1.741081e+04, +6.046656e+03, +5.090810e+04, -5.798013e+04, +4.116063e+04
-1.741081e+04, +2.649505e+04, -9.168435e+03, -7.553113e+04, +8.578346e+04, -6.412852e+04
+6.046656e+03, -9.168435e+03, +3.323549e+03, +2.622756e+04, -2.981515e+04, +2.270635e+04
+5.090810e+04, -7.553113e+04, +2.622756e+04, +3.131303e+05, -3.365701e+05, +2.496960e+05
-5.798013e+04, +8.578346e+04, -2.981515e+04, -3.365701e+05, +3.970359e+05, -2.495549e+05
+4.116063e+04, -6.412852e+04, +2.270635e+04, +2.496960e+05, -2.495549e+05, +2.319141e+05

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK002D: 0.000247 s

Reference point on the trajectory:
  Time: 2021-08-13 00:38:44.423642 UTC
  Lon     = +-2.553347 +/- 0.0018 deg
  Lat     = +50.237450 +/- 0.0014 deg
  Lat geo = +50.051266 +/- 0.0014 deg
  Ht      =  107556.31 +/- 247.57 m

  JD dynamic   = 2459439.527703792322 
  LST apparent = 328.8083314181 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.27569 +/- 2.5504 deg
  Dec       = +56.94722 +/- 0.4598 deg
  Azimuth   =  48.69759 +/- 0.2441 deg
  Elevation = +44.11185 +/- 1.4260 deg
  Vavg      =  57.60848 +/- 0.0549 km/s
  Vinit     =  59.63064 +/- 0.6081 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.35419 +/- 2.5504 deg
  Dec       = +56.70647 +/- 0.4598 deg
  Azimuth   =  48.96389 +/- 0.2441 deg
  Elevation = +43.95968 +/- 1.4260 deg
  Vavg      =  57.77250 +/- 0.0549 km/s
  Vinit     =  59.79467 +/- 0.6081 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.54685 +/- 2.5640 deg
  Dec    = +56.66762 +/- 0.4772 deg
  Vg     =  58.58892 +/- 0.6187 km/s
  Vinf   =  59.63064 +/- 0.6081 km/s
  Zc     =  46.01120 +/- 1.4265 deg
  Zg     =  46.43993 +/- 1.4479 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.17822 +/- 1.4323 deg
  Bg     = +36.71256 +/- 0.9316 deg
  Vh     =  40.12512 +/- 0.7984 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.48020 +/- 3.3178 deg
  Bh     = +60.79662 +/- 1.3118 deg
  Vh_x   =  -1.88316 +/- 0.9478 km/s
  Vh_y   = -19.48671 +/- 0.7291 km/s
  Vh_z   = -35.02495 +/- 1.1122 km/s
Orbit:
  La Sun = 140.214332 +/- 0.0000 deg
  a      =   6.288810 +/- 199.0967 AU
  e      =   0.852100 +/- 0.0705
  i      = 114.794014 +/- 0.5826 deg
  peri   = 145.251495 +/- 4.8934 deg
  node   = 140.213560 +/- 0.0000 deg
  Pi     = 285.465054 +/- 4.8935 deg
  q      =   0.930114 +/- 0.0164 AU
  f      =  34.744626 +/- 4.8934 deg
  M      =   1.539009 +/- nan deg
  Q      =  11.647507 +/- 398.1957 AU
  n      =   0.062496 +/- 0.0228 deg/day
  T      =  15.770787 +/- 446947211.6328 years
  Last perihelion JD = 2459414.901935 (2021-07-19 09:38:47.184802) +/- 2.1282 days
  Tj     =   0.345003 +/- 0.3900
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.741009e-03, +4.108894e-04, +8.321886e-02, +1.134723e-08, +1.996114e-03, -1.531087e-04
q   , +4.108894e-04, +1.342206e-04, +2.512458e-02, +4.819910e-09, +6.211102e-04, -6.499607e-05
Tp  , +8.321886e-02, +2.512458e-02, +4.788004e+00, +8.574412e-07, +1.175538e-01, -1.156448e-02
node, +1.134723e-08, +4.819910e-09, +8.574412e-07, +2.184770e-13, +2.162017e-08, -2.946355e-09
peri, +1.996114e-03, +6.211102e-04, +1.175538e-01, +2.162017e-08, +2.893836e-03, -2.915792e-04
i   , -1.531087e-04, -6.499607e-05, -1.156448e-02, -2.946355e-09, -2.915792e-04, +3.973462e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000002
 a2 = 63.140818

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 4.806e-06 s
  Stddev    = 2.19e-03 s

Begin point on the trajectory:
  Lon =    -2.565877 +/- 0.0019 deg
  Lat =    50.230389 +/- 0.0014 deg
  Ht  = 106383.44 +/- 183.26 m
End point on the trajectory:
  Lon =    -2.685490 +/- 0.0014 deg
  Lat =    50.163470 +/- 0.0010 deg
  Ht  = 95312.31 +/- 111.56 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   106167.60,    96089.33,          0.007439,     15.43,      9.38,              82.95, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210813_003839_332_0398848.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000007,  58.635986,   106383.44,    95312.31,          0.023282,     67.20,     21.88,              92.01, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210813_003841_977_0399360.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,     UK000H,       1,  0.000000, 2459439.526902710088, 304.76151,  16.16699,              218.86418,  50.01639,       218.83418,       50.01385,    304.76151,     +16.16699,     304.77871,      +16.15673,  3555564.00, -2152625.85,  4962432.49,      50.237408,       -2.553299,  107549.31,  139529.62,       0.00,               10.05,   442.80,      0.00,           57265.23,    -24.61,     40.47,          70.02,  +3.76,  +3.04
  1,     UK000H,       0,  0.040708, 2459439.526903181337, 304.33358,  15.46265,              218.99495,  49.20495,       219.00315,       49.20565,    304.33358,     +15.46265,     304.32898,      +15.46549,  3554872.02, -2153458.63,  4960768.55,      50.229088,       -2.568230,  106167.60,  139363.41,    1985.22,             1995.27,     0.57,  48767.21,           57265.23,      6.83,    -11.24,          19.46,  +1.09,  +0.37
  2,     UK000H,       0,  0.081548, 2459439.526903653983, 303.80417,  14.62963,              219.18062,  48.23526,       219.19749,       48.23669,    303.80417,     +14.62963,     303.79454,      +14.63556,  3554044.22, -2154454.86,  4958778.03,      50.219128,       -2.586060,  104515.10,  139200.78,    4360.05,             4370.10,   -59.92,  58149.70,           57265.23,     14.29,    -23.52,          40.77,  +0.62,  -0.10
  3,     UK000H,       0,  0.122480, 2459439.526904127561, 303.20621,  13.70768,              219.40063,  47.15628,       219.40494,       47.15665,    303.20621,     +13.70768,     303.20413,      +13.70922,  3553123.60, -2155562.80,  4956564.29,      50.208042,       -2.605873,  102677.80,  139067.00,    7001.21,             7011.27,   140.45,  64525.63,           57265.23,      3.72,     -6.12,          10.62,  +0.66,  -0.06
  4,     UK000H,       0,  0.163288, 2459439.526904600207, 302.70758,  12.90280,              219.56113,  46.22291,       219.57802,       46.22434,    302.70758,     +12.90280,     302.69794,      +12.90892,  3552330.60, -2156517.15,  4954657.45,      50.198485,       -2.622964,  101095.64,  138992.81,    9276.22,             9286.28,   -17.95,  55749.15,           57718.82,     14.83,    -24.41,          42.39,  +0.50,  -0.21
  5,     UK000H,       0,  0.204152, 2459439.526905072853, 302.14853,  12.04690,              219.76739,  45.21804,       219.75804,       45.21725,    302.14853,     +12.04690,     302.15518,      +12.04346,  3551474.77, -2157547.11,  4952599.53,      50.188163,       -2.641398,   99388.57,  138954.31,   11731.49,            11741.54,     0.56,  60083.72,           58186.46,     -8.36,     13.74,          23.88,  +0.34,  -0.37
  6,     UK000H,       0,  0.245044, 2459439.526905546430, 301.59537,  11.15391,              219.94284,  44.18099,       219.93664,       44.18046,    301.59537,     +11.15391,     301.60030,      +11.15160,  3550594.10, -2158606.97,  4950481.87,      50.177533,       -2.660363,   97632.43,  138960.05,   14258.02,            14268.07,    88.68,  61785.49,           58739.55,     -5.64,      9.28,          16.12,  +0.22,  -0.49
  7,     UK000H,       0,  0.285828, 2459439.526906018145, 301.11012,  10.36934,              220.09496,  43.26955,       220.08909,       43.26905,    301.11012,     +10.36934,     301.11507,      +10.36712,  3549820.06, -2159538.50,  4948620.62,      50.168182,       -2.677054,   96089.33,  139003.86,   16478.63,            16488.68,  -122.68,  54448.14,           58612.80,     -5.43,      8.93,          15.51,  +0.74,  +0.02
  0,     UK002D,       0,  0.029709, 2459439.526903051417, 310.88660,   0.94635,              203.69390,  37.19133,       203.64654,       37.17897,    310.88660,      +0.94635,     310.92015,       +0.92492,  3554980.12, -2153328.54,  4961028.49,      50.230389,       -2.565877,  106383.44,  173394.85,       0.00,             1685.13,   346.31,      0.00,           55419.94,    -37.28,    114.22,         142.92,  +4.43,  +3.23
  1,     UK002D,       0,  0.070273, 2459439.526903520804, 310.55863,   0.29812,              203.88638,  36.48139,       203.93045,       36.49290,    310.55863,      +0.29812,     310.52756,       +0.31822,  3554217.03, -2154246.89,  4959193.56,      50.221208,       -2.582325,  104860.04,  173576.87,    2189.21,             3874.34,   116.66,  53969.27,           55419.94,     34.87,   -107.33,         134.10,  +2.31,  +1.11
  2,     UK002D,       0,  0.110813, 2459439.526903990190, 310.11942,  -0.31798,              204.21809,  35.77378,       204.22180,       35.77475,    310.11942,      -0.31798,     310.11721,       -0.31628,  3553417.14, -2155209.53,  4957270.15,      50.211578,       -2.599560,  103263.57,  173797.04,    4483.99,             6169.12,    -5.98,  56605.40,           55419.94,      2.97,     -9.13,          11.40,  +2.07,  +0.87
  3,     UK002D,       0,  0.151357, 2459439.526904459111, 309.72663,  -0.94082,              204.48696,  35.07080,       204.50074,       35.07439,    309.72663,      -0.94082,     309.71730,       -0.93443,  3552635.74, -2156149.91,  4955391.21,      50.202164,       -2.616402,  101704.41,  174041.32,    6725.71,             8410.85,  -181.92,  55291.06,           55419.94,     11.13,    -34.18,          42.60,  +1.47,  +0.27
  4,     UK002D,       0,  0.192001, 2459439.526904929895, 309.23253,  -1.67302,              204.83468,  34.23516,       204.82826,       34.23349,    309.23253,      -1.67302,     309.23802,       -1.67603,  3551695.15, -2157281.89,  4953129.46,      50.190822,       -2.636643,   99828.11,  174372.53,    9424.15,            11109.29,    92.89,  66392.10,           57646.17,     -5.25,     16.10,          20.03,  +1.43,  +0.22
  5,     UK002D,       0,  0.232613, 2459439.526905399747, 308.81939,  -2.36850,              205.09335,  33.45541,       205.12269,       33.46303,    308.81939,      -2.36850,     308.79877,       -2.35465,  3550830.96, -2158321.91,  4951051.42,      50.180393,       -2.655255,   98104.71,  174713.53,   11903.41,            13588.55,   150.43,  61047.48,           58767.93,     24.19,    -74.34,          92.29,  +1.10,  -0.11
  6,     UK002D,       0,  0.273129, 2459439.526905868668, 308.42218,  -2.95275,              205.36408,  32.78654,       205.37603,       32.78965,    308.42218,      -2.95275,     308.41445,       -2.94707,  3550073.50, -2159233.49,  4949230.04,      50.171244,       -2.671591,   96594.54,  175041.40,   14076.47,            15761.60,   -92.51,  53634.54,           58619.01,      9.95,    -30.56,          37.87,  +1.44,  +0.22
  7,     UK002D,       0,  0.313577, 2459439.526906336658, 308.10444,  -3.45938,              205.56481,  32.21326,       205.58808,       32.21930,    308.10444,      -3.45938,     308.08840,       -3.44825,  3549430.23, -2160007.64,  4947683.25,      50.163470,       -2.685490,   95312.31,  175341.25,   15921.91,            17607.04,  -659.01,  45624.87,           57477.85,     19.50,    -59.90,          74.11,  +3.99,  +2.77

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.