Orbital Analysis for matched events on 20211103_033537.565_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 91.80° Bg 47.01° Vg 39.37km/s
mass 0.01447g, abs. mag 0.7
best visual mag 2.0
Path Details
------------
start -4.92° 51.63° 92.31km
end   -4.92° 51.61° 85.11km

Orbit Details
-------------
Semimajor axis 1.54A.U., eccentricity 0.58, inclination 72.43°, Period 1.90Y, LA Sun 220.64°, last Perihelion 2020-01-27

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: 2459521.649740336463
Time: 2021-11-03 03:35:37.565070 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK003H
 Convergence angle = 20.28874 deg
 R.A. =  94.11276  Dec = +69.93960 deg

Best intersection: Stations UK0024 and UK003H with Qconv = 20.29 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -113016.34 +/- 98.74 m
 Y =   4023340.89 +/- 33.04 m
 Z =   5049600.43 +/- 70.06 m
 Vx =    -1019.85 +/- 751.28 m/s
 Vy =    13914.77 +/- 501.70 m/s
 Vz =    38457.71 +/- 695.21 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.841884e+03, +9.987563e+02, +6.437060e+03, +5.782339e+04, +1.147178e+04, +4.513862e+04
+9.987563e+02, +1.140868e+03, +6.623800e+02, +6.692495e+03, +8.127990e+03, +7.735606e+02
+6.437060e+03, +6.623800e+02, +4.889361e+03, +4.542263e+04, +7.895397e+03, +3.575941e+04
+5.782339e+04, +6.692495e+03, +4.542263e+04, +6.378070e+05, +1.174361e+05, +4.863572e+05
+1.147178e+04, +8.127990e+03, +7.895397e+03, +1.174361e+05, +9.358971e+04, +4.359329e+04
+4.513862e+04, +7.735606e+02, +3.575941e+04, +4.863572e+05, +4.359329e+04, +4.007914e+05

Timing offsets (from input data):
    UK0024: -0.000304 s
    UK003H: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 03:35:37.565070 UTC
  Lon     = +-4.917715 +/- 0.0014 deg
  Lat     = +51.627164 +/- 0.0004 deg
  Lat geo = +51.442404 +/- 0.0004 deg
  Ht      =   92348.83 +/- 62.65 m

  JD dynamic   = 2459521.650541077368 
  LST apparent = 91.6090252611 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  94.19187 +/- 3.1876 deg
  Dec       = +70.05971 +/- 0.4129 deg
  Azimuth   =   2.78034 +/- 3.3092 deg
  Elevation = +71.52852 +/- 0.4592 deg
  Vavg      =  38.61133 +/- 0.4980 km/s
  Vinit     =  40.91035 +/- 0.6328 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  95.39463 +/- 3.1876 deg
  Dec       = +70.03825 +/- 0.4129 deg
  Azimuth   =   4.07457 +/- 3.3092 deg
  Elevation = +71.50521 +/- 0.4592 deg
  Vavg      =  38.61690 +/- 0.4980 km/s
  Vinit     =  40.91591 +/- 0.6328 km/s
Radiant (geocentric, J2000):
  R.A.   =  93.66545 +/- 3.2973 deg
  Dec    = +70.42724 +/- 0.4154 deg
  Vg     =  39.37265 +/- 0.6562 km/s
  Vinf   =  40.91035 +/- 0.6328 km/s
  Zc     =  18.65602 +/- 0.4589 deg
  Zg     =  19.01654 +/- 0.4620 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  91.79999 +/- 1.6092 deg
  Bg     = +47.01245 +/- 0.4240 deg
  Vh     =  34.79898 +/- 0.9352 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  12.79994 +/- 0.6729 deg
  Bh     = +55.85784 +/- 0.6773 deg
  Vh_x   = -19.04552 +/- 0.7788 km/s
  Vh_y   =  -4.32701 +/- 0.4139 km/s
  Vh_z   = -28.80129 +/- 0.5826 km/s
Orbit:
  La Sun = 220.636279 +/- 0.0000 deg
  a      =   1.536414 +/- 0.3059 AU
  e      =   0.583860 +/- 0.0462
  i      =  72.428911 +/- 0.1241 deg
  peri   = 267.967326 +/- 3.3686 deg
  node   = 220.637685 +/- 0.0000 deg
  Pi     = 128.605012 +/- 3.3686 deg
  q      =   0.639364 +/- 0.0113 AU
  f      = 272.033619 +/- 3.3686 deg
  M      = 333.947298 +/- 4.6319 deg
  Q      =   2.433465 +/- 0.6043 AU
  n      =   0.517538 +/- 0.0817 deg/day
  T      =   1.904422 +/- 0.6593 years
  Last perihelion JD = 2458876.388075 (2020-01-27 21:18:49.717670) +/- 242.8603 days
  Tj     =   3.653617 +/- 0.3924
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.103605e-03, +2.882860e-04, -1.024155e+01, -7.613368e-08, -1.410904e-01, -4.382982e-03
q   , +2.882860e-04, +1.306420e-04, -1.687771e+00, -2.264716e-08, -3.245010e-02, -1.303181e-03
Tp  , -1.024155e+01, -1.687771e+00, +5.308485e+04, +4.065923e-04, +7.170739e+02, +2.340715e+01
node, -7.613368e-08, -2.264716e-08, +4.065923e-04, +4.661966e-12, +6.868283e-06, +2.685886e-07
peri, -1.410904e-01, -3.245010e-02, +7.170739e+02, +6.868283e-06, +1.140057e+01, +3.952978e-01
i   , -4.382982e-03, -1.303181e-03, +2.340715e+01, +2.685886e-07, +3.952978e-01, +1.547461e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.996313
 a2 = 28.204474

Mean time residuals from time vs. length:
  Station with reference time: UK003H
  Avg. res. = 2.244e-06 s
  Stddev    = 1.50e-03 s

Begin point on the trajectory:
  Lon =    -4.917724 +/- 0.0014 deg
  Lat =    51.627056 +/- 0.0004 deg
  Ht  = 92312.18 +/- 47.96 m
End point on the trajectory:
  Lon =    -4.920229 +/- 0.0014 deg
  Lat =    51.605742 +/- 0.0004 deg
  Ht  = 85110.22 +/- 46.82 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
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,    92199.85,    86144.08,          0.014382,     39.06,     24.42,              50.63, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20211103_033530_150_0924160.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   2.811478,  26.503619,    92312.18,    85110.22,          0.010375,     22.17,     28.55,              59.73, 1.0000,    True,    True, {"ff_name": "FF_UK003H_20211103_033530_913_0346880.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,     UK0024,       0,  0.004698, 2459521.649740489665, 359.35994,  41.90797,              302.00730,  28.92420,       302.01052,       28.92314,    359.35994,     +41.90797,     359.35629,      +41.90926,  -113012.43,  4023287.46,  5049452.77,      51.626724,       -4.917805,   92199.85,  186236.51,       0.00,              157.08,    -0.45,      0.00,           40815.99,     -5.19,     -8.30,          10.84,  +2.94,  +1.59
  1,     UK0024,       0,  0.045046, 2459521.649740956724, 359.14476,  41.54226,              301.83558,  28.55425,       301.84887,       28.54986,    359.14476,     +41.54226,     359.12985,      +41.54756,  -112972.16,  4022738.11,  5047934.48,      51.622194,       -4.918327,   90667.95,  185270.21,    1615.12,             1772.20,   -35.98,  40029.74,           40815.99,    -21.40,    -34.17,          44.89,  +2.19,  +0.85
  2,     UK0024,       0,  0.085398, 2459521.649741423782, 358.90614,  41.18205,              301.68530,  28.17433,       301.68720,       28.17370,    358.90614,     +41.18205,     358.90433,      +41.18281,  -112932.03,  4022190.51,  5046421.02,      51.617677,       -4.918848,   89140.95,  184316.06,    3225.10,             3382.18,   -76.81,  39898.44,           40815.99,     -3.05,     -4.88,           6.44,  +2.25,  +0.92
  3,     UK0024,       0,  0.125774, 2459521.649741890840, 358.62907,  40.79804,              301.54208,  27.75575,       301.51314,       27.76529,    358.62907,     +40.79804,     358.66232,      +40.78656,  -112888.92,  4021602.41,  5044795.62,      51.612823,       -4.919395,   87501.05,  183300.89,    4954.16,             5111.24,     0.45,  42823.98,           40815.99,     46.33,     74.12,          98.36,  +2.90,  +1.58
  4,     UK0024,       0,  0.166094, 2459521.649742357899, 358.44857,  40.45913,              301.37987,  27.41967,       301.36830,       27.42348,    358.44857,     +40.45913,     358.46232,      +40.45455,  -112853.26,  4021115.77,  5043450.64,      51.608805,       -4.919877,   86144.08,  182470.52,    6384.92,             6542.00,  -218.30,  35484.98,           39921.08,     18.49,     29.56,          39.42,  +3.62,  +2.31
  0,     UK003H,       0,  0.000000, 2459521.649740336463,  13.73141,  26.63148,              280.51744,  26.29910,       280.51110,       26.30127,     13.73141,     +26.63148,      13.73764,      +26.62916,  -113015.38,  4023327.75,  5049564.11,      51.627056,       -4.917724,   92312.18,  202243.79,       0.00,               38.64,    73.29,      0.00,           40106.97,     16.96,     13.17,          21.90,  +3.26,  +1.73
  1,     UK003H,       0,  0.040344, 2459521.649740803521,  13.56050,  26.25117,              280.35100,  25.91736,       280.34823,       25.91832,     13.56050,     +26.25117,      13.56336,      +26.25015,  -112974.78,  4022773.82,  5048033.15,      51.622488,       -4.918249,   90767.51,  201490.76,    1628.59,             1667.24,    51.40,  40367.64,           40106.97,      7.41,      5.75,           9.60,  +2.48,  +0.96
  2,     UK003H,       0,  0.080656, 2459521.649741270114,  13.41274,  25.90214,              280.19342,  25.57198,       280.20084,       25.56944,     13.41274,     +25.90214,      13.40566,      +25.90485,  -112938.09,  4022273.17,  5046649.46,      51.618359,       -4.918739,   89371.43,  200820.09,    3100.53,             3139.17,  -125.84,  36513.62,           40106.97,    -19.81,    -15.38,          25.76,  +1.97,  +0.46
  3,     UK003H,       0,  0.121044, 2459521.649741737638,  13.20268,  25.48244,              280.02977,  25.13597,       280.02032,       25.13921,     13.20268,     +25.48244,      13.21252,      +25.47898,  -112893.15,  4021660.12,  5044955.13,      51.613299,       -4.919303,   87661.98,  200008.20,    4902.92,             4941.56,    24.26,  44626.86,           40106.97,     25.22,     19.59,          32.94,  +2.62,  +1.11
  4,     UK003H,       0,  0.161340, 2459521.649742203765,  13.04654,  25.15681,              279.89950,  24.80130,       279.88201,       24.80729,     13.04654,     +25.15681,      13.06453,      +25.15042,  -112858.79,  4021191.22,  5043659.16,      51.609428,       -4.919773,   86354.45,  199398.40,    6281.54,             6320.18,  -245.65,  34212.25,           39262.14,     46.64,     36.24,          61.10,  +3.63,  +2.13
  5,     UK003H,       0,  0.201620, 2459521.649742670357,  12.93645,  24.83067,              279.73652,  24.49407,       279.75027,       24.48936,     12.93645,     +24.83067,      12.92358,      +24.83569,  -112826.08,  4020745.00,  5042425.91,      51.605742,       -4.920229,   85110.22,  198825.77,    7593.43,             7632.08,  -581.62,  32569.43,           38066.02,    -36.65,    -28.45,          48.13,  +4.52,  +3.03

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.