Orbital Analysis for matched events on 20210904_022323.110_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 75.61° Bg 22.72° Vg 65.89km/s
mass 0.02704g, abs. mag -1.6
Path Details
------------
start -2.83° 51.54° 106.57km
end   -2.94° 51.52° 95.54km

Orbit Details
-------------
Semimajor axis 6.84A.U., eccentricity 0.85, inclination 140.69°, Period 17.88Y, LA Sun 161.49°, last Perihelion 2021-08-25

Full details below
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Detailed report below graphs

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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: 2459461.599573037121
Time: 2021-09-04 02:23:23.110407 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK000S
 Convergence angle = 45.49576 deg
 R.A. =  71.11656  Dec = +45.59846 deg

Best intersection: Stations UK0006 and UK000S with Qconv = 45.50 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3876425.07 +/- 48.10 m
 Y =   1144657.13 +/- 34.96 m
 Z =   5054228.81 +/- 42.18 m
 Vx =    15216.18 +/- 327.68 m/s
 Vy =    44401.67 +/- 430.63 m/s
 Vz =    47560.95 +/- 342.82 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.494411e+03, -1.013470e+03, +1.384935e+03, +1.451983e+04, -7.800163e+03, +7.168623e+03
-1.013470e+03, +1.283624e+03, -1.065025e+03, -6.889948e+03, +7.648238e+03, -9.245149e+03
+1.384935e+03, -1.065025e+03, +1.912302e+03, +9.712510e+03, -1.153552e+04, +1.187750e+04
+1.451983e+04, -6.889948e+03, +9.712510e+03, +1.105599e+05, -7.786864e+04, +7.359325e+04
-7.800163e+03, +7.648238e+03, -1.153552e+04, -7.786864e+04, +9.895864e+04, -1.044933e+05
+7.168623e+03, -9.245149e+03, +1.187750e+04, +7.359325e+04, -1.044933e+05, +1.156404e+05

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK000S: -0.000236 s
    UK0020: 0.000000 s
    UK0029: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-04 02:23:23.110407 UTC
  Lon     = +-2.827557 +/- 0.0006 deg
  Lat     = +51.534974 +/- 0.0003 deg
  Lat geo = +51.350482 +/- 0.0003 deg
  Ht      =  106521.88 +/- 51.82 m

  JD dynamic   = 2459461.600373778027 
  LST apparent = 16.4511746313 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  71.08373 +/- 0.4740 deg
  Dec       = +45.37857 +/- 0.3349 deg
  Azimuth   =  77.74657 +/- 0.3489 deg
  Elevation = +54.11601 +/- 0.4249 deg
  Vavg      =  62.65209 +/- 0.0952 km/s
  Vinit     =  66.82128 +/- 0.0971 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  71.29092 +/- 0.4740 deg
  Dec       = +45.23207 +/- 0.3349 deg
  Azimuth   =  77.83741 +/- 0.3489 deg
  Elevation = +53.91639 +/- 0.4249 deg
  Vavg      =  62.82135 +/- 0.0952 km/s
  Vinit     =  66.99055 +/- 0.0971 km/s
Radiant (geocentric, J2000):
  R.A.   =  71.01120 +/- 0.4767 deg
  Dec    = +45.21027 +/- 0.3379 deg
  Vg     =  65.89312 +/- 0.0985 km/s
  Vinf   =  66.82128 +/- 0.0971 km/s
  Zc     =  35.92353 +/- 0.4243 deg
  Zg     =  36.18334 +/- 0.4283 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  75.61047 +/- 0.3239 deg
  Bg     = +22.71654 +/- 0.3705 deg
  Vh     =  40.36655 +/- 0.1982 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.72770 +/- 0.6249 deg
  Bh     = +39.08129 +/- 0.5564 deg
  Vh_x   =  -6.12505 +/- 0.3215 km/s
  Vh_y   = -30.73016 +/- 0.1520 km/s
  Vh_z   = -25.44798 +/- 0.4262 km/s
Orbit:
  La Sun = 161.493902 +/- 0.0000 deg
  a      =   6.838323 +/- 0.8487 AU
  e      =   0.854041 +/- 0.0177
  i      = 140.694399 +/- 0.5311 deg
  peri   = 167.821032 +/- 1.2228 deg
  node   = 161.492865 +/- 0.0000 deg
  Pi     = 329.313897 +/- 1.2228 deg
  q      =   0.998115 +/- 0.0019 AU
  f      =  12.175608 +/- 1.2228 deg
  M      =   0.502111 +/- 0.1422 deg
  Q      =  12.678532 +/- 1.6959 AU
  n      =   0.055116 +/- 0.0103 deg/day
  T      =  17.882371 +/- 3.3782 years
  Last perihelion JD = 2459452.490336 (2021-08-25 23:46:05.021870) +/- 0.9375 days
  Tj     =  -0.161775 +/- 0.0921
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.251663e-04, +2.888608e-05, +1.454793e-02, +1.508644e-08, +3.256321e-04, -1.648794e-04
q   , +2.888608e-05, +3.794085e-06, +1.865395e-03, +1.270993e-09, +4.251028e-05, -1.386386e-05
Tp  , +1.454793e-02, +1.865395e-03, +9.202226e-01, +6.402998e-07, +2.095661e-02, -6.989690e-03
node, +1.508644e-08, +1.270993e-09, +6.402998e-07, +7.476775e-13, +1.428340e-08, -8.172776e-09
peri, +3.256321e-04, +4.251028e-05, +2.095661e-02, +1.428340e-08, +4.776004e-04, -1.559233e-04
i   , -1.648794e-04, -1.386386e-05, -6.989690e-03, -8.172776e-09, -1.559233e-04, +8.935876e-05

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: UK0006
  Avg. res. = 1.968e-05 s
  Stddev    = 4.44e-03 s

Begin point on the trajectory:
  Lon =    -2.827064 +/- 0.0006 deg
  Lat =    51.535041 +/- 0.0003 deg
  Ht  = 106571.05 +/- 42.96 m
End point on the trajectory:
  Lon =    -2.938686 +/- 0.0006 deg
  Lat =    51.519991 +/- 0.0002 deg
  Ht  = 95544.36 +/- 49.09 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   106571.05,    95892.24,          0.011266,     29.28,      8.53,              81.66, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20210904_022319_453_0628480.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   4.236586,  22.390092,   105492.37,    95544.36,          0.012554,     15.62,     28.09,              68.75, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210904_022318_093_0629248.fits"}
    UK0020,    True,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   105554.85,    97785.57,          0.162650,       nan,       nan,              32.68, 0.0000,    True,    True, {"ff_name": "FF_UK0020_20210904_022323_189_0621568.fits"}
    UK0029,    True,    -4.441783,    52.004778,  230.00,   0.000000,   0.000000,   106175.27,    99627.16,          0.114818,       nan,       nan,              28.38, 0.0000,    True,   False, {"ff_name": "FF_UK0029_20210904_022323_408_0612096.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,     UK0006,       0,  0.000000, 2459461.599573037121, 329.54364,  22.50768,              250.40864,  42.80951,       250.37516,       42.80734,    329.54364,     +22.50768,     329.56282,      +22.49054,  3876438.88,  1144697.45,  5054272.00,      51.535041,       -2.827064,  106571.05,  155246.15,       0.00,               60.68,   698.84,      0.00,           62047.37,    -18.68,     64.14,          88.76,  +1.16,  +0.20
  1,     UK0006,       0,  0.040720, 2459461.599573508371, 328.97577,  21.92057,              250.46303,  42.02244,       250.47045,       42.02292,    328.97577,     +21.92057,     328.97163,      +21.92440,  3875950.71,  1143272.93,  5052746.12,      51.532682,       -2.844645,  104834.20,  154963.06,    2143.80,             2083.12,     0.31,  52647.33,           62047.37,      4.18,    -14.38,          19.93,  -0.07,  -1.02
  2,     UK0006,       0,  0.081628, 2459461.599573981948, 328.21865,  21.19923,              250.59374,  41.01917,       250.58856,       41.01883,    328.21865,     +21.19923,     328.22204,      +21.19653,  3875327.86,  1141455.41,  5050799.28,      51.529666,       -2.867040,  102618.52,  154642.27,    4879.03,             4818.35,     2.02,  66863.07,           62047.37,     -2.96,     10.17,          14.13,  -0.84,  -1.79
  3,     UK0006,       0,  0.122512, 2459461.599574455060, 327.49207,  20.48882,              250.70992,  40.04041,       250.70035,       40.03979,    327.49207,     +20.48882,     327.49830,      +20.48377,  3874722.96,  1139690.28,  5048908.56,      51.526731,       -2.888806,  100467.06,  154376.93,    7535.43,             7474.75,   -73.51,  64973.99,           62047.37,     -5.54,     19.04,          26.50,  -1.34,  -2.28
  4,     UK0006,       0,  0.163456, 2459461.599574929103, 326.74289,  19.71936,              250.80602,  39.00045,       250.81539,       39.00106,    326.74289,     +19.71936,     326.73790,      +19.72434,  3874083.22,  1137823.48,  5046908.93,      51.523620,       -2.911829,   98192.08,  154145.40,   10344.83,            10284.15,    -0.04,  68615.64,           63817.40,      5.49,    -18.88,          26.30,  -1.05,  -1.99
  5,     UK0006,       0,  0.204404, 2459461.599575402681, 325.97332,  18.95136,              250.92891,  37.94790,       250.92860,       37.94788,    325.97332,     +18.95136,     325.97437,      +18.95119,  3873436.37,  1135935.94,  5044887.08,      51.520468,       -2.935119,   95892.24,  153963.20,   13185.45,            13124.76,   104.38,  69371.35,           65117.28,     -0.18,      0.63,           0.89,  +0.55,  -0.39
  0,     UK000S,       0,  0.018484, 2459461.599573253654, 292.30083,  59.96681,              315.86364,  44.25754,       315.85110,       44.26311,    292.30083,     +59.96681,     292.31926,      +59.96158,  3876135.71,  1143812.77,  5053324.37,      51.533576,       -2.837954,  105492.37,  149843.71,       0.00,             1270.70,   673.76,      0.00,           60492.40,    -24.15,     13.44,          38.05,  +4.86,  +3.98
  1,     UK000S,       0,  0.099236, 2459461.599574188236, 290.71739,  58.46439,              314.61662,  42.80961,       314.62165,       42.80740,    290.71739,     +58.46439,     290.71056,      +58.46643,  3875066.03,  1140691.38,  5049980.89,      51.528396,       -2.876461,  101687.23,  148268.99,    4697.46,             5968.16,   -24.74,  58171.42,           60492.40,      9.74,     -5.42,          15.50,  +0.60,  -0.26
  2,     UK000S,       0,  0.139692, 2459461.599574656691, 289.81317,  57.57790,              313.93010,  41.93901,       313.92320,       41.94203,    289.81317,     +57.57790,     289.82361,      +57.57515,  3874444.44,  1138877.55,  5048038.00,      51.525377,       -2.898826,   99476.58,  147414.33,    7427.14,             8697.85,     1.63,  67472.93,           60492.40,    -13.39,      7.45,          21.44,  +0.46,  -0.38
  3,     UK000S,       0,  0.180068, 2459461.599575123750, 289.11335,  56.81611,              313.34361,  41.20993,       313.34772,       41.20814,    289.11335,     +56.81611,     289.10828,      +56.81773,  3873925.28,  1137362.62,  5046415.28,      51.522851,       -2.917543,   97630.51,  146736.86,    9707.00,            10977.70,  -416.49,  56465.67,           60492.40,      8.00,     -4.45,          12.87,  +0.77,  -0.06
  4,     UK000S,       0,  0.220528, 2459461.599575592205, 288.28618,  55.96005,              312.73531,  40.35534,       312.70716,       40.36757,    288.28618,     +55.96005,     288.32665,      +55.94913,  3873338.52,  1135650.42,  5044581.25,      51.519991,       -2.938686,   95544.36,  146009.64,   12283.75,            13554.45,  -543.33,  63686.25,           60866.39,    -54.99,     30.58,          88.88,  +3.17,  +2.35
  0,     UK0020,       1,  0.014047, 2459461.599573199637, 114.93705,  70.93549,               26.77524,  44.29260,        26.63729,       44.43826,    114.93705,     +70.93549,     114.69200,      +71.09229,  3876153.27,  1143864.01,  5053379.26,      51.533661,       -2.837308,  105554.85,  149481.50,       0.00,             1193.59,   893.07,      0.00,           61589.62,   -434.66,   -147.28,         633.27,  +5.30,  +4.43
  1,     UK0020,       1,  0.054347, 2459461.599573666230, 115.83552,  71.17798,               26.28077,  44.15728,        26.20710,       44.23474,    115.83552,     +71.17798,     115.70724,      +71.26212,  3875758.13,  1142710.96,  5052144.16,      51.531750,       -2.851572,  104149.07,  148026.32,    1735.26,             2928.84,   -64.57,  43058.45,           61589.62,   -229.62,    -77.16,         337.54,  +1.51,  +0.66
  2,     UK0020,       1,  0.094863, 2459461.599574135151, 117.59787,  71.34696,               25.68198,  43.75328,        25.53312,       43.90743,    117.59787,     +71.34696,     117.35419,      +71.51799,  3875146.07,  1140924.94,  5050231.06,      51.528784,       -2.873584,  101971.90,  145786.73,    4423.09,             5616.68,   -84.07,  66339.99,           61589.62,   -452.73,   -153.40,         676.31,  -0.16,  -0.98
  3,     UK0020,       1,  0.135431, 2459461.599574604537, 119.49691,  71.64313,               24.89882,  43.39408,        24.76921,       43.52670,    119.49691,     +71.64313,     119.29776,      +71.79317,  3874465.82,  1138939.93,  5048104.81,      51.525481,       -2.898044,   99552.60,  143316.40,    7410.39,             8603.98,   192.42,  73636.90,           61589.62,   -385.31,   -130.17,         585.34,  -0.21,  -0.99
  4,     UK0020,       1,  0.175867, 2459461.599575072527, 121.00191,  71.82459,               24.33974,  43.09480,        24.19915,       43.23726,    121.00191,     +71.82459,     120.79803,      +71.98821,  3873968.89,  1137489.88,  5046551.59,      51.523064,       -2.915966,   97785.57,  141523.64,    9592.60,            10786.19,  -327.34,  53967.16,           61430.77,   -410.73,   -138.85,         631.90,  +0.67,  -0.08
  0,     UK0029,       1,  0.017153, 2459461.599573235493,  62.04806,  18.05685,              114.51261,  39.92964,       114.56858,       39.97991,     62.04806,     +18.05685,      61.98052,      +18.07220,  3876327.65,  1144372.86,  5053924.31,      51.534504,       -2.831102,  106175.27,  163015.38,       0.00,              427.81,   -80.24,      0.00,           66554.06,   -182.93,    -43.50,         237.92,  +1.30,  +0.24
  1,     UK0029,       1,  0.057269, 2459461.599573699757,  61.92971,  17.56457,              115.00728,  39.59730,       115.07085,       39.65400,     61.92971,     +17.56457,      61.85351,      +17.58191,  3875649.19,  1142393.08,  5051803.67,      51.531222,       -2.855471,  103761.55,  160391.23,    2979.42,             3407.23,   218.58,  74270.12,           66554.06,   -204.03,    -48.49,         269.69,  +0.47,  -0.56
  2,     UK0029,       1,  0.097401, 2459461.599574164487,  61.86993,  17.13758,              115.38994,  39.28386,       115.49405,       39.37603,     61.86993,     +17.13758,      61.74567,      +17.16569,  3875089.99,  1140761.29,  5050055.77,      51.528512,       -2.875597,  101772.44,  158236.54,    5435.14,             5862.95,    -7.37,  61191.17,           66554.06,   -328.94,    -77.74,         440.60,  -0.40,  -1.40
  3,     UK0029,       1,  0.137541, 2459461.599574629217,  61.79565,  16.66572,              115.81739,  38.94078,       115.95949,       39.06561,     61.79565,     +16.66572,      61.62683,      +16.70372,  3874486.78,  1139001.11,  5048170.35,      51.525583,       -2.897304,   99627.16,  155923.17,    8084.09,             8511.90,   -40.63,  65992.65,           66554.06,   -441.49,   -103.82,         599.97,  -0.63,  -1.59

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.