Orbital Analysis for matched events on 20210929_041954.213_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 82.14° Bg -29.16° Vg 57.93km/s
mass 0.00839g, abs. mag 0.3
Path Details
------------
start 0.94° 52.11° 115.11km
end   0.91° 52.19° 108.85km

Orbit Details
-------------
Semimajor axis 2.01A.U., eccentricity 0.58, inclination 124.50°, Period 2.86Y, LA Sun 185.95°, last Perihelion 2018-12-30

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: 2459486.680488577113
Time: 2021-09-29 04:19:54.213063 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002F
 Convergence angle = 14.35277 deg
 R.A. =  83.49455  Dec =  -5.37177 deg

Best intersection: Stations UK000C and UK002F with Qconv = 14.35 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1097132.99 +/- 107.12 m
 Y =   3842913.25 +/- 30.75 m
 Z =   5100877.93 +/- 141.15 m
 Vx =     6850.78 +/- 957.04 m/s
 Vy =    58324.05 +/- 342.95 m/s
 Vz =    -5478.55 +/- 1210.77 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.189316e+04, -3.356644e+03, -1.574106e+04, +7.144530e+04, -3.253393e+04, -9.557438e+04
-3.356644e+03, +1.026626e+03, +4.426763e+03, -1.898230e+04, +8.865018e+03, +2.515309e+04
-1.574106e+04, +4.426763e+03, +2.095665e+04, -9.674206e+04, +4.408296e+04, +1.302464e+05
+7.144530e+04, -1.898230e+04, -9.674206e+04, +7.906525e+05, -3.130362e+05, -1.063685e+06
-3.253393e+04, +8.865018e+03, +4.408296e+04, -3.130362e+05, +1.323505e+05, +4.242938e+05
-9.557438e+04, +2.515309e+04, +1.302464e+05, -1.063685e+06, +4.242938e+05, +1.440052e+06

Timing offsets (from input data):
    UK000C: 0.000000 s
    UK002F: -0.000291 s

Reference point on the trajectory:
  Time: 2021-09-29 04:19:54.213063 UTC
  Lon     = ++0.937220 +/- 0.0016 deg
  Lat     = +52.105222 +/- 0.0008 deg
  Lat geo = +51.921851 +/- 0.0008 deg
  Ht      =  115111.50 +/- 110.72 m

  JD dynamic   = 2459486.681289318018 
  LST apparent = 74.0662142167 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  83.30070 +/- 0.9172 deg
  Dec       =  -5.32978 +/- 1.1961 deg
  Azimuth   = 169.13661 +/- 1.3007 deg
  Elevation = +32.02776 +/- 1.0533 deg
  Vavg      =  58.92628 +/- 0.3300 km/s
  Vinit     =  58.98002 +/- 0.2008 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  83.58112 +/- 0.9172 deg
  Dec       =  -5.32550 +/- 1.1961 deg
  Azimuth   = 168.80903 +/- 1.3007 deg
  Elevation = +31.99907 +/- 1.0533 deg
  Vavg      =  58.97355 +/- 0.3300 km/s
  Vinit     =  59.02728 +/- 0.2008 km/s
Radiant (geocentric, J2000):
  R.A.   =  83.10147 +/- 0.9197 deg
  Dec    =  -5.90942 +/- 1.2144 deg
  Vg     =  57.92773 +/- 0.2045 km/s
  Vinf   =  58.98002 +/- 0.2008 km/s
  Zc     =  57.79216 +/- 1.0523 deg
  Zg     =  58.36145 +/- 1.0678 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  82.13664 +/- 1.0811 deg
  Bg     = -29.15902 +/- 1.1774 deg
  Vh     =  36.47552 +/- 0.4472 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  63.01923 +/- 2.7254 deg
  Bh     = -50.68993 +/- 1.5670 deg
  Vh_x   = -10.48384 +/- 0.9071 km/s
  Vh_y   = -20.59277 +/- 0.8086 km/s
  Vh_z   =  28.22216 +/- 0.9839 km/s
Orbit:
  La Sun = 185.953374 +/- -0.0000 deg
  a      =   2.013372 +/- 0.1119 AU
  e      =   0.584060 +/- 0.0367
  i      = 124.496187 +/- 2.2256 deg
  peri   =  56.286147 +/- 0.8513 deg
  node   =   5.955861 +/- 0.0000 deg
  Pi     =  62.242008 +/- 0.8513 deg
  q      =   0.837443 +/- 0.0106 AU
  f      = 303.714599 +/- 0.8514 deg
  M      = 346.406480 +/- 1.7506 deg
  Q      =   3.189302 +/- 0.2342 AU
  n      =   0.344999 +/- 0.0400 deg/day
  T      =   2.856846 +/- 0.2239 years
  Last perihelion JD = 2458482.601776 (2018-12-30 02:26:33.410160) +/- 82.1005 days
  Tj     =   2.012978 +/- 0.1608
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.204785e-03, -3.469432e-04, -2.812263e+00, -2.315119e-08, +4.429868e-04, -1.316227e-03
q   , -3.469432e-04, +1.045532e-04, +8.045370e-01, +6.780364e-09, -1.438993e-04, +3.859731e-04
Tp  , -2.812263e+00, +8.045370e-01, +6.652601e+03, +5.407010e-05, -1.015132e+00, +3.085764e+00
node, -2.315119e-08, +6.780364e-09, +5.407010e-05, +4.501680e-13, -8.906785e-09, +2.563095e-08
peri, +4.429868e-04, -1.438993e-04, -1.015132e+00, -8.906785e-09, +2.204549e-04, -5.080095e-04
i   , -1.316227e-03, +3.859731e-04, +3.085764e+00, +2.563095e-08, -5.080095e-04, +1.461247e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000000
 a2 = 103.962987

Mean time residuals from time vs. length:
  Station with reference time: UK000C
  Avg. res. = 1.139e-06 s
  Stddev    = 1.07e-03 s

Begin point on the trajectory:
  Lon =     0.937208 +/- 0.0016 deg
  Lat =    52.105259 +/- 0.0008 deg
  Ht  = 115108.83 +/- 110.70 m
End point on the trajectory:
  Lon =     0.909228 +/- 0.0019 deg
  Lat =    52.192155 +/- 0.0010 deg
  Ht  = 108852.18 +/- 126.94 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.000006,  87.611887,   115108.83,   108852.18,          0.002706,      2.25,      8.63,              85.41, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210929_041952_103_0888064.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   113719.85,   109909.46,          0.017471,      0.65,     58.88,              66.15, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210929_041955_205_0894464.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,     UK000C,       0,  0.000000, 2459486.680488577113, 164.63959,  52.03266,               50.20718,  36.86346,        50.20894,       36.86186,    164.63959,     +52.03266,     164.64010,      +52.03057,  1097132.40,  3842908.28,  5100878.39,      52.105259,       +0.937208,  115108.83,  188859.60,       0.00,                5.03,  -189.00,      0.00,           60789.15,      6.78,      1.77,           7.65,  +2.97,  +1.59
  1,     UK000C,       0,  0.040452, 2459486.680489045102, 165.89398,  52.16358,               49.47775,  36.34573,        49.47762,       36.34585,    165.89398,     +52.16358,     165.89401,      +52.16374,  1096833.36,  3840362.42,  5101117.53,      52.124185,       +0.931138,  113743.84,  188820.97,    2574.49,             2579.52,    -0.36,  63643.18,           60789.15,     -0.50,     -0.13,           0.56,  +1.90,  +0.52
  2,     UK000C,       0,  0.080876, 2459486.680489513092, 167.08677,  52.28179,               48.79044,  35.85636,        48.79389,       35.85326,    167.08677,     +52.28179,     167.08797,      +52.27766,  1096550.27,  3837952.26,  5101343.93,      52.142110,       +0.925376,  112452.27,  188816.40,    5011.76,             5016.79,    52.70,  60292.60,           60789.15,     13.30,      3.47,          15.02,  +1.29,  -0.09
  3,     UK000C,       0,  0.121296, 2459486.680489981081, 168.25415,  52.37255,               48.14119,  35.36785,        48.13761,       35.37103,    168.25415,     +52.37255,     168.25367,      +52.37684,  1096275.17,  3835610.21,  5101563.92,      52.159534,       +0.919765,  111197.81,  188841.94,    7380.14,             7385.17,    37.11,  58594.32,           60789.15,    -13.77,     -3.59,          15.54,  +1.27,  -0.11
  4,     UK000C,       0,  0.161700, 2459486.680490448605, 169.40674,  52.46327,               47.49853,  34.89232,        47.49847,       34.89238,    169.40674,     +52.46327,     169.40730,      +52.46335,  1096003.94,  3833301.15,  5101780.82,      52.176720,       +0.914225,  109961.62,  188896.14,    9715.18,             9720.20,   -10.89,  57792.09,           59954.14,     -0.23,     -0.06,           0.26,  +2.05,  +0.67
  5,     UK000C,       0,  0.202064, 2459486.680490915664, 170.44509,  52.53348,               46.92952,  34.46157,        46.93103,       34.46024,    170.44509,     +52.53348,     170.44612,      +52.53167,  1095760.42,  3831227.93,  5101975.56,      52.192155,       +0.909228,  108852.18,  188968.69,   11811.72,            11816.75,  -295.02,  51940.87,           58572.52,      5.83,      1.52,           6.58,  +4.16,  +2.78
  0,     UK002F,       0,  0.042064, 2459486.680488857441, 145.52652,  33.20680,               79.19025,  35.15564,        79.20188,       35.13595,    145.52652,     +33.20680,     145.53573,      +33.18634,  1096828.11,  3840317.66,  5101121.74,      52.124518,       +0.931102,  113719.85,  194086.99,       0.00,             2624.79,   -50.17,      0.00,           58930.16,     74.06,      0.83,          78.71,  +1.97,  +0.53
  1,     UK002F,       0,  0.082468, 2459486.680489324965, 146.34137,  33.43803,               78.41300,  34.82158,        78.41250,       34.82241,    146.34137,     +33.43803,     146.34116,      +33.43890,  1096528.86,  3837770.02,  5101361.05,      52.143466,       +0.925020,  112354.64,  193223.78,    2576.29,             5201.08,   143.09,  63763.18,           58930.16,     -3.13,     -0.03,           3.34,  +1.67,  +0.24
  2,     UK002F,       0,  0.122824, 2459486.680489792023, 147.05136,  33.62801,               77.74965,  34.52371,        77.73507,       34.54766,    147.05136,     +33.62801,     147.04081,      +33.65321,  1096272.36,  3835586.27,  5101566.17,      52.159712,       +0.919777,  111184.99,  192506.94,    4784.60,             7409.39,   -28.80,  54720.70,           58930.16,    -90.01,     -0.98,          96.45,  +1.67,  +0.25
  3,     UK002F,       0,  0.163180, 2459486.680490259081, 147.81557,  33.87943,               76.99825,  34.23672,        76.99554,       34.24111,    147.81557,     +33.87943,     147.81410,      +33.88409,  1095992.50,  3833203.71,  5101789.97,      52.177445,       +0.914066,  109909.46,  191751.69,    7193.96,             9818.75,     0.36,  59702.65,           58930.16,    -16.52,     -0.18,          17.77,  +2.43,  +1.02

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.