Orbital Analysis for matched events on 20211015_033208.557_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 91.37° Bg -16.63° Vg 65.31km/s
mass 0.05235g, abs. mag -1.1
best visual mag 0.5
Path Details
------------
start 0.09° 55.27° 116.15km
end   -0.01° 55.44° 99.15km

Orbit Details
-------------
Semimajor axis 8.48A.U., eccentricity 0.92, inclination 147.03°, Period 24.70Y, LA Sun 201.71°, last Perihelion 1997-03-12

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: 2459502.647321264260
Time: 2021-10-15 03:32:08.557232 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000P and UK004B
 Convergence angle = 47.39107 deg
 R.A. =  91.96707  Dec =  +7.43868 deg

Best intersection: Stations UK000P and UK004B with Qconv = 47.39 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    832994.81 +/- 42.19 m
 Y =   3612899.49 +/- 49.17 m
 Z =   5314364.23 +/- 52.56 m
 Vx =    -1771.26 +/- 150.76 m/s
 Vy =    65699.73 +/- 53.50 m/s
 Vz =     8261.52 +/- 189.44 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.970869e+03, +1.149703e+01, -1.605594e+03, +6.944436e+03, -3.969409e+02, -3.384527e+03
+1.149703e+01, +2.998763e+03, +2.280205e+02, -2.102330e+02, -3.621776e+02, +1.224631e+03
-1.605594e+03, +2.280205e+02, +2.966751e+03, -5.981746e+03, -7.583690e+02, +8.499918e+03
+6.944436e+03, -2.102330e+02, -5.981746e+03, +2.645435e+04, -1.866531e+02, -1.714740e+04
-3.969409e+02, -3.621776e+02, -7.583690e+02, -1.866531e+02, +1.471445e+03, -5.767411e+03
-3.384527e+03, +1.224631e+03, +8.499918e+03, -1.714740e+04, -5.767411e+03, +3.646268e+04

Timing offsets (from input data):
    UK000P: 0.000000 s
    UK004B: 0.000282 s

Reference point on the trajectory:
  Time: 2021-10-15 03:32:08.557232 UTC
  Lon     = ++0.090356 +/- 0.0007 deg
  Lat     = +55.274746 +/- 0.0004 deg
  Lat geo = +55.097589 +/- 0.0004 deg
  Ht      =  116145.59 +/- 50.66 m

  JD dynamic   = 2459502.648122005165 
  LST apparent = 77.0166947891 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  91.54431 +/- 0.1325 deg
  Dec       =  +7.16456 +/- 0.1623 deg
  Azimuth   = 160.89041 +/- 0.1927 deg
  Elevation = +40.51365 +/- 0.1484 deg
  Vavg      =  64.92276 +/- 0.0282 km/s
  Vinit     =  66.24081 +/- 0.0270 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  91.77224 +/- 0.1325 deg
  Dec       =  +7.15719 +/- 0.1623 deg
  Azimuth   = 160.60027 +/- 0.1927 deg
  Elevation = +40.46360 +/- 0.1484 deg
  Vavg      =  64.99057 +/- 0.0282 km/s
  Vinit     =  66.30862 +/- 0.0270 km/s
Radiant (geocentric, J2000):
  R.A.   =  91.32199 +/- 0.1329 deg
  Dec    =  +6.80042 +/- 0.1637 deg
  Vg     =  65.30560 +/- 0.0274 km/s
  Vinf   =  66.24081 +/- 0.0270 km/s
  Zc     =  49.31898 +/- 0.1483 deg
  Zg     =  49.69299 +/- 0.1495 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  91.37000 +/- 0.1366 deg
  Bg     = -16.63099 +/- 0.1644 deg
  Vh     =  40.92179 +/- 0.0619 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  74.03321 +/- 0.2456 deg
  Bh     = -27.17590 +/- 0.2431 deg
  Vh_x   = -10.01412 +/- 0.1506 km/s
  Vh_y   = -34.99994 +/- 0.0512 km/s
  Vh_z   =  18.68995 +/- 0.1814 km/s
Orbit:
  La Sun = 201.707744 +/- -0.0000 deg
  a      =   8.480399 +/- 0.3551 AU
  e      =   0.918742 +/- 0.0040
  i      = 147.030011 +/- 0.3224 deg
  peri   =  69.224250 +/- 0.3564 deg
  node   =  21.709956 +/- 0.0000 deg
  Pi     =  90.934206 +/- 0.3564 deg
  q      =   0.689102 +/- 0.0028 AU
  f      = 290.776224 +/- 0.3564 deg
  M      = 358.489968 +/- 0.1175 deg
  Q      =  16.271697 +/- 0.7106 AU
  n      =   0.039910 +/- 0.0030 deg/day
  T      =  24.695914 +/- 1.4989 years
  Last perihelion JD = 2450520.144553 (1997-03-12 15:28:09.363639) +/- 547.5644 days
  Tj     =  -0.232063 +/- 0.0274
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.746176e-05, -3.349194e-06, -2.404935e+00, -2.172348e-08, +3.623815e-05, -1.379439e-03
q   , -3.349194e-06, +8.398324e-06, +3.604480e-01, +2.799327e-09, -1.008538e-03, +1.788418e-04
Tp  , -2.404935e+00, +3.604480e-01, +3.336621e+05, +3.010554e-03, +8.018420e+00, +1.912421e+02
node, -2.172348e-08, +2.799327e-09, +3.010554e-03, +2.803120e-11, +1.314687e-07, +1.778622e-06
peri, +3.623815e-05, -1.008538e-03, +8.018420e+00, +1.314687e-07, +1.294188e-01, +8.207461e-03
i   , -1.379439e-03, +1.788418e-04, +1.912421e+02, +1.778622e-06, +8.207461e-03, +1.128660e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.013626
 a2 = 26.574582

Mean time residuals from time vs. length:
  Station with reference time: UK000P
  Avg. res. = 1.156e-06 s
  Stddev    = 1.08e-03 s

Begin point on the trajectory:
  Lon =     0.090402 +/- 0.0007 deg
  Lat =    55.274671 +/- 0.0002 deg
  Ht  = 116153.34 +/- 51.44 m
End point on the trajectory:
  Lon =    -0.012816 +/- 0.0004 deg
  Lat =    55.441215 +/- 0.0002 deg
  Ht  = 99150.31 +/- 42.41 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
    UK000P,   False,    -3.059440,    54.994170,   18.00,   0.006247,  28.508637,   116153.34,    99150.31,          0.014266,     11.79,     56.20,              61.99, 1.0000,    True,    True, {"ff_name": "FF_UK000P_20211015_033207_296_0870656.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,   0.007870,  29.097302,   110308.52,   101786.24,          0.004730,     11.46,     15.46,             103.08, 1.0000,    True,    True, {"ff_name": "FF_UK004B_20211015_033206_417_0883968.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,     UK000P,       0,  0.000000, 2459502.647321264260, 154.13611,  28.74350,               79.86456,  28.61395,        79.87430,       28.60077,    154.13611,     +28.74350,     154.13833,      +28.72791,   832994.49,  3612911.32,  5314365.71,      55.274671,       +0.090402,  116153.34,  235714.38,       0.00,               11.93,   -52.81,      0.00,           64762.36,     63.27,     13.27,          56.57,  +3.13,  +1.27
  1,     UK000P,       0,  0.040496, 2459502.647321733180, 154.94756,  28.82866,               79.18339,  28.22139,        79.19153,       28.21046,    154.94756,     +28.82866,     154.94948,      +28.81567,   833082.73,  3609638.19,  5313954.13,      55.295590,       +0.077529,  114009.93,  234203.86,    3300.08,             3288.16,   540.93,  81491.57,           64762.36,     52.32,     10.97,          47.08,  +3.67,  +1.82
  2,     UK000P,       0,  0.080784, 2459502.647322199307, 155.43172,  28.89162,               78.76928,  27.99700,        78.78515,       27.97580,    155.43172,     +28.89162,     155.43535,      +28.86637,   833135.01,  3607699.29,  5313710.32,      55.307988,       +0.069825,  112740.68,  233322.74,    5254.95,             5243.03,  -172.90,  48522.44,           64762.36,    101.29,     21.22,          91.49,  +1.79,  -0.05
  3,     UK000P,       0,  0.121224, 2459502.647322667297, 156.14111,  28.93900,               78.19669,  27.63457,        78.19836,       27.63235,    156.14111,     +28.93900,     156.14195,      +28.93635,   833210.23,  3604909.14,  5313359.47,      55.325836,       +0.058799,  110914.77,  232081.96,    8068.08,             8056.16,   -38.55,  69563.03,           64762.36,     10.57,      2.22,           9.60,  +1.25,  -0.58
  4,     UK000P,       0,  0.161644, 2459502.647323135287, 156.83173,  28.99722,               77.63205,  27.29184,        77.62960,       27.29506,    156.83173,     +28.99722,     156.83196,      +29.00109,   833282.83,  3602216.10,  5313020.82,      55.343072,       +0.048136,  109153.07,  230910.29,   10783.30,            10771.37,    -0.79,  67175.12,           65184.96,    -15.34,     -3.22,          14.00,  +0.75,  -1.07
  5,     UK000P,       0,  0.202076, 2459502.647323603276, 157.55182,  29.06212,               77.04192,  26.93867,        77.04023,       26.94088,    157.55182,     +29.06212,     157.55237,      +29.06479,   833357.77,  3599436.41,  5312671.29,      55.360871,       +0.037120,  107335.36,  229728.69,   13585.88,            13573.96,   123.55,  69315.95,           65896.28,    -10.51,     -2.21,           9.64,  +0.62,  -1.19
  6,     UK000P,       0,  0.242484, 2459502.647324070800, 158.21613,  29.09649,               76.51715,  26.59412,        76.50217,       26.61358,    158.21613,     +29.09649,     158.21472,      +29.12001,   833425.93,  3596908.28,  5312353.38,      55.377068,       +0.027072,  105682.74,  228677.77,   16134.83,            16122.90,    -4.17,  63080.26,           65848.47,    -92.26,    -19.40,          85.04,  +0.52,  -1.28
  7,     UK000P,       0,  0.282896, 2459502.647324538324, 158.91863,  29.16524,               75.94044,  26.25566,        75.93419,       26.26372,    158.91863,     +29.16524,     158.91887,      +29.17503,   833497.64,  3594248.44,  5312018.92,      55.394116,       +0.016495,  103944.63,  227598.24,   18816.58,            18804.65,     0.66,  66360.15,           65871.20,    -38.18,     -8.02,          35.35,  +0.72,  -1.07
  8,     UK000P,       0,  0.323316, 2459502.647325006314, 159.61910,  29.21191,               75.38231,  25.90234,        75.37326,       25.91395,    159.61910,     +29.21191,     159.61919,      +29.22605,   833568.23,  3591630.24,  5311689.69,      55.410905,       +0.006066,  102234.36,  226561.50,   21456.34,            21444.41,   -37.04,  65308.19,           65844.26,    -54.89,    -11.53,          51.07,  +0.97,  -0.81
  9,     UK000P,       0,  0.363692, 2459502.647325473838, 160.28183,  29.28573,               74.83452,  25.59192,        74.84384,       25.58002,    160.28183,     +29.28573,     160.28456,      +29.27119,   833634.64,  3589166.66,  5311379.90,      55.426710,       -0.003769,  100625.62,  225609.36,   23940.21,            23928.28,  -227.71,  61518.50,           65594.83,     56.17,     11.77,          52.47,  +1.52,  -0.25
 10,     UK000P,       0,  0.404060, 2459502.647325940896, 160.89797,  29.31889,               74.35121,  25.27681,        74.35686,       25.26964,    160.89797,     +29.31889,     160.90034,      +29.31010,   833695.57,  3586906.70,  5311095.72,      55.441215,       -0.012816,   99150.31,  224755.80,   26218.78,            26206.85,  -623.14,  56445.09,           65043.36,     33.81,      7.08,          31.70,  +3.84,  +2.08
  0,     UK004B,       0,  0.132802, 2459502.647322801407, 240.72933,  63.36003,                7.92158,  27.54752,         7.92004,       27.54806,    240.72933,     +63.36003,     240.73267,      +63.36081,   833235.21,  3603982.49,  5313242.94,      55.331766,       +0.055142,  110308.52,  231414.12,       0.00,             8990.43,   128.77,      0.00,           65205.23,     -4.77,      3.53,           5.29,  +2.33,  +0.51
  1,     UK004B,       0,  0.173274, 2459502.647323269863, 241.42196,  62.83981,                7.67906,  26.97977,         7.66938,       26.98312,    241.42196,     +62.83981,     241.44002,      +62.84461,   833303.46,  3601451.16,  5312924.64,      55.347969,       +0.045104,  108652.79,  232116.37,    2552.18,            11542.61,     0.04,  63060.27,           65205.23,    -30.13,     22.33,          33.32,  +1.09,  -0.74
  2,     UK004B,       0,  0.213782, 2459502.647323738784, 242.17372,  62.28231,                7.40260,  26.37168,         7.40154,       26.37205,    242.17372,     +62.28231,     242.17650,      +62.28283,   833377.69,  3598697.70,  5312578.40,      55.365603,       +0.034186,  106852.42,  232909.79,    5328.31,            14318.74,    92.90,  68533.07,           65205.23,     -3.32,      2.46,           3.66,  +0.84,  -1.00
  3,     UK004B,       0,  0.254242, 2459502.647324207239, 242.82074,  61.76732,                7.16114,  25.81463,         7.15983,       25.81509,    242.82074,     +61.76732,     242.82412,      +61.76796,   833445.75,  3596173.25,  5312260.96,      55.381778,       +0.024148,  105202.36,  233663.78,    7873.56,            16863.99,   -41.96,  62907.66,           65205.23,     -4.15,      3.07,           4.56,  +0.88,  -0.96
  4,     UK004B,       0,  0.294718, 2459502.647324675694, 243.47964,  61.23076,                6.90751,  25.23640,         6.91091,       25.23523,    243.47964,     +61.23076,     243.47493,      +61.22915,   833517.03,  3593529.21,  5311928.48,      55.398727,       +0.013628,  103474.75,  234480.64,   10539.37,            19529.80,   -57.31,  65861.56,           65217.80,     10.79,     -8.00,          11.82,  +1.12,  -0.73
  5,     UK004B,       0,  0.335178, 2459502.647325143684, 244.09475,  60.70593,                6.66553,  24.67389,         6.67143,       24.67185,    244.09475,     +60.70593,     244.08588,      +60.70316,   833586.72,  3590944.10,  5311603.41,      55.415306,       +0.003326,  101786.24,  235305.78,   13145.77,            22136.21,  -131.01,  64419.31,           65107.39,     18.93,    -14.04,          20.66,  +1.34,  -0.52

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.