Orbital Analysis for matched events on 20211103_010442.216_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 103.93° Bg -7.28° Vg 70.69km/s
mass 0.02166g, abs. mag -0.9
best visual mag 1.3
Path Details
------------
start 1.90° 49.86° 111.90km
end   1.71° 49.92° 98.79km

Orbit Details
-------------
Semimajor axis -2.38A.U., eccentricity 1.24, inclination 164.66°, Period nanY, LA Sun 220.53°, 

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: 2459521.544933063909
Time: 2021-11-03 01:04:42.216722 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002N
 Convergence angle = 25.34439 deg
 R.A. = 105.22268  Dec = +14.56392 deg

Best intersection: Stations UK002C and UK002N with Qconv = 25.34 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2058720.52 +/- 266.07 m
 Y =   3651392.89 +/- 833.82 m
 Z =   4938217.25 +/- 96.64 m
 Vx =   -17205.77 +/- 475.62 m/s
 Vy =    66708.10 +/- 3996.74 m/s
 Vz =    19349.96 +/- 2875.85 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.121172e+04, -1.293237e+05, -4.503897e+03, +1.140744e+05, -1.452250e+05, +4.947372e+04
-1.293237e+05, +3.569106e+05, +1.467536e+04, -2.043166e+05, +1.906009e+05, -2.211436e+05
-4.503897e+03, +1.467536e+04, +2.659464e+03, -1.706280e+03, -1.320922e+04, +8.933975e+03
+1.140744e+05, -2.043166e+05, -1.706280e+03, +5.292623e+05, -8.385779e+05, -1.123604e+05
-1.452250e+05, +1.906009e+05, -1.320922e+04, -8.385779e+05, +1.515916e+06, +3.271243e+05
+4.947372e+04, -2.211436e+05, +8.933975e+03, -1.123604e+05, +3.271243e+05, +7.452987e+05

Timing offsets (from input data):
    UK002C: -0.000509 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 01:04:42.216722 UTC
  Lon     = ++1.892098 +/- 0.0087 deg
  Lat     = +49.860421 +/- 0.0043 deg
  Lat geo = +49.673927 +/- 0.0043 deg
  Ht      =  111694.14 +/- 360.89 m

  JD dynamic   = 2459521.545733804815 
  LST apparent = 60.5849198486 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 104.46287 +/- 0.3093 deg
  Dec       = +15.68882 +/- 1.5662 deg
  Azimuth   = 118.09270 +/- 1.2255 deg
  Elevation = +40.85060 +/- 1.2995 deg
  Vavg      =  70.75566 +/- 4.7029 km/s
  Vinit     =  71.55718 +/- 3.7147 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 104.64555 +/- 0.3093 deg
  Dec       = +15.64300 +/- 1.5662 deg
  Azimuth   = 117.94109 +/- 1.2255 deg
  Elevation = +40.70967 +/- 1.2995 deg
  Vavg      =  70.95999 +/- 4.7029 km/s
  Vinit     =  71.76151 +/- 3.7147 km/s
Radiant (geocentric, J2000):
  R.A.   = 104.34645 +/- 0.3047 deg
  Dec    = +15.46324 +/- 1.5506 deg
  Vg     =  70.69200 +/- 3.7626 km/s
  Vinf   =  71.55718 +/- 3.7147 km/s
  Zc     =  49.06179 +/- 1.2962 deg
  Zg     =  49.37986 +/- 1.2731 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 103.93126 +/- 0.3587 deg
  Bg     =  -7.28337 +/- 1.5369 deg
  Vh     =  46.48635 +/- 3.6013 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.27345 +/- 1.8435 deg
  Bh     = -11.11545 +/- 2.1671 deg
  Vh_x   =  -2.96469 +/- 1.1831 km/s
  Vh_y   = -45.51785 +/- 3.3756 km/s
  Vh_z   =   8.96195 +/- 2.2224 km/s
Orbit:
  La Sun = 220.531297 +/- 0.0000 deg
  a      =  -2.380437 +/- 17.7610 AU
  e      =   1.238913 +/- 0.2167
  i      = 164.660325 +/- 2.6333 deg
  peri   =  76.773573 +/- 12.1620 deg
  node   =  40.529129 +/- 0.0009 deg
  Pi     = 117.302702 +/- 12.1612 deg
  q      =   0.568718 +/- 0.0703 AU
  f      = 283.223107 +/- 12.1627 deg
  M      =        nan +/- nan deg
  Q      =  -5.329592 +/- 35.5334 AU
  n      =   0.268361 +/- 0.2547 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -3.140298 +/- 1.9930
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.560601e-03, +1.383209e-03, -1.754599e+02, -8.981788e-06, -2.344367e-01, +1.606760e-02
q   , +1.383209e-03, +1.348166e-03, -1.470493e+02, -2.153076e-06, -2.228099e-01, +2.438199e-03
Tp  , -1.754599e+02, -1.470493e+02, +2.043812e+07, +1.257225e+00, +2.531072e+04, -2.269990e+03
node, -8.981788e-06, -2.153076e-06, +1.257225e+00, +5.365942e-07, +6.436732e-04, -1.120485e-03
peri, -2.344367e-01, -2.228099e-01, +2.531072e+04, +6.436732e-04, +3.706464e+01, -9.819239e-01
i   , +1.606760e-02, +2.438199e-03, -2.269990e+03, -1.120485e-03, -9.819239e-01, +2.367680e+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. = 4.588e-06 s
  Stddev    = 2.14e-03 s

Begin point on the trajectory:
  Lon =     1.895025 +/- 0.0090 deg
  Lat =    49.859411 +/- 0.0045 deg
  Ht  = 111904.07 +/- 362.74 m
End point on the trajectory:
  Lon =     1.710095 +/- 0.0069 deg
  Lat =    49.922596 +/- 0.0037 deg
  Ht  = 98785.79 +/- 277.65 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
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   109450.75,   100262.08,          0.018400,     95.09,     37.66,              20.40, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20211103_010435_741_0705536.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   111904.07,    98785.79,          0.019499,     61.45,     62.26,              19.00, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20211103_010433_108_0711424.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,     UK002C,       0,  0.051326, 2459521.544933663681, 111.62934,  -3.65645,              121.00870,  18.05976,       121.00684,       18.05937,    111.62934,      -3.65645,     111.63125,       -3.65583,  2059545.38,  3648194.82,  4937289.58,      49.871217,       +1.860574,  109450.75,  328414.89,       0.00,             3430.54,   122.15,      0.00,           70039.89,      3.81,     -9.63,           6.50,  +5.25,  +2.67
  1,     UK002C,       0,  0.091462, 2459521.544934128411, 111.69684,  -3.81008,              121.03556,  17.89396,       121.04619,       17.89620,    111.69684,      -3.81008,     111.68746,       -3.81362,  2060197.32,  3645667.21,  4936556.40,      49.879750,       +1.835636,  107678.40,  325868.84,    2711.35,             6141.89,   -38.52,  67554.08,           70039.89,    -21.62,     54.79,          37.29,  +2.62,  +0.05
  2,     UK002C,       0,  0.131614, 2459521.544934593141, 111.76931,  -3.97822,              121.06617,  17.71327,       121.08896,       17.71804,    111.76931,      -3.97822,     111.74893,       -3.98583,  2060897.46,  3642952.72,  4935769.01,      49.888912,       +1.808843,  105775.71,  323138.40,    5623.15,             9053.70,     0.12,  72519.54,           70039.89,    -45.95,    116.60,          80.00,  +2.66,  +0.11
  3,     UK002C,       0,  0.171750, 2459521.544935057405, 111.81046,  -4.15190,              121.12751,  17.54465,       121.13041,       17.54526,    111.81046,      -4.15190,     111.80852,       -4.15287,  2061565.45,  3640362.85,  4935017.77,      49.897653,       +1.783248,  103961.06,  320535.99,    8401.29,            11831.83,   -93.76,  69217.97,           70039.89,     -5.82,     14.73,          10.19,  +1.43,  -1.10
  4,     UK002C,       0,  0.211902, 2459521.544935522135, 111.85277,  -4.35119,              121.20212,  17.35378,       121.17734,       17.34854,    111.85277,      -4.35119,     111.87650,       -4.34294,  2062312.67,  3637465.83,  4934177.43,      49.907430,       +1.754609,  101931.99,  317629.76,   11508.90,            14939.44,   140.68,  77396.09,           71511.97,     49.52,   -124.82,          87.20,  +1.70,  -0.81
  5,     UK002C,       0,  0.252034, 2459521.544935986865, 111.90496,  -4.51189,              121.24626,  17.19021,       121.21678,       17.18397,    111.90496,      -4.51189,     111.93322,       -4.50207,  2062927.85,  3635080.72,  4933485.59,      49.915478,       +1.730980,  100262.08,  315238.38,   14067.38,            17497.93,  -172.56,  63751.82,           70824.26,     58.58,   -147.52,         103.86,  +2.72,  +0.23
  0,     UK002N,       0,  0.000000, 2459521.544933063909, 103.50913,  -2.91612,              129.00795,  23.45308,       129.02157,       23.46089,    103.50913,      -2.91612,     103.49439,       -2.91538,  2058643.35,  3651692.08,  4938304.03,      49.859411,       +1.895025,  111904.07,  269144.12,       0.00,              320.93,   685.26,      0.00,           72125.31,    -49.15,     48.71,          53.03,  +3.67,  +1.52
  1,     UK002N,       0,  0.040152, 2459521.544933528639, 103.48422,  -3.10967,              129.13420,  23.29608,       129.13575,       23.29697,    103.48422,      -3.10967,     103.48271,       -3.10958,  2059323.73,  3649054.18,  4937538.86,      49.868316,       +1.869039,  110053.48,  266455.92,    2829.65,             2508.72,    -0.12,  70473.36,           72125.31,     -5.55,      5.49,           6.05,  +2.67,  +0.54
  2,     UK002N,       0,  0.080304, 2459521.544933993369, 103.45632,  -3.30631,              129.26462,  23.13772,       129.25156,       23.13021,    103.45632,      -3.30631,     103.47082,       -3.30705,  2060001.75,  3646425.45,  4936776.35,      49.877190,       +1.843118,  108210.01,  263780.13,    5649.46,             5328.53,   -53.47,  70228.43,           72125.31,     46.41,    -45.83,          51.00,  +2.35,  +0.24
  3,     UK002N,       0,  0.120488, 2459521.544934458565, 103.46696,  -3.52683,              129.37074,  22.93971,       129.37967,       22.94483,    103.46696,      -3.52683,     103.45777,       -3.52634,  2060738.99,  3643567.10,  4935947.23,      49.886838,       +1.814920,  106206.29,  260874.98,    8715.58,             8394.65,   137.20,  76302.15,           72125.31,    -31.35,     31.03,          34.88,  +1.70,  -0.38
  4,     UK002N,       0,  0.160636, 2459521.544934923295, 103.40984,  -3.72862,              129.53090,  22.79075,       129.49877,       22.77226,    103.40984,      -3.72862,     103.44545,       -3.73047,  2061410.77,  3640962.56,  4935191.73,      49.895629,       +1.789186,  104381.20,  258230.45,   11509.46,            11188.53,    58.20,  69589.37,           71972.95,    112.11,   -110.44,         125.70,  +1.41,  -0.65
  5,     UK002N,       0,  0.200812, 2459521.544935388025, 103.45503,  -3.92551,              129.59130,  22.59660,       129.61177,       22.60831,    103.45503,      -3.92551,     103.43362,       -3.92439,  2062036.45,  3638536.77,  4934488.08,      49.903816,       +1.765186,  102681.97,  255769.87,   14111.58,            13790.65,  -214.57,  64767.96,           70899.72,    -70.48,     69.83,          80.01,  +1.59,  -0.45
  6,     UK002N,       0,  0.240988, 2459521.544935853221, 103.40775,  -4.15611,              129.75653,  22.41743,       129.74643,       22.41164,    103.40775,      -4.15611,     103.41976,       -4.15668,  2062770.50,  3635690.80,  4933662.56,      49.913420,       +1.737031,  100689.17,  252888.34,   17164.42,            16843.49,   -36.60,  75986.80,           71061.72,     34.51,    -34.07,          39.56,  +1.32,  -0.69
  7,     UK002N,       0,  0.281164, 2459521.544936317950, 103.37858,  -4.38225,              129.90189,  22.23330,       129.87772,       22.21941,    103.37858,      -4.38225,     103.40613,       -4.38365,  2063471.89,  3632971.46,  4932873.76,      49.922596,       +1.710095,   98785.79,  250138.63,   20081.44,            19760.51,     5.53,  72606.01,           71257.94,     81.88,    -80.70,          94.80,  +3.96,  +1.97

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.