Orbital Analysis for matched events on 20210810_032546.909_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 40.64° Bg 31.26° Vg 57.59km/s
mass 0.08310g, abs. mag -1.9
Path Details
------------
start -4.73° 52.22° 96.61km
end   -4.77° 52.23° 86.60km

Orbit Details
-------------
Semimajor axis 2.02A.U., eccentricity 0.52, inclination 123.12°, Period 2.86Y, LA Sun 137.45°, last Perihelion 2018-10-22

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: 2459436.642904041801
Time: 2021-08-10 03:25:46.909212 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003F and UK003H
 Convergence angle = 4.65739 deg
 R.A. =  25.56556  Dec = +44.45871 deg

Best intersection: Stations UK003F and UK003H with Qconv = 4.66 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3956225.54 +/- 9.96 m
 Y =    384283.40 +/- 356.18 m
 Z =   5094256.83 +/- 294.45 m
 Vx =    37868.38 +/- 1719.03 m/s
 Vy =    17909.35 +/- 3674.95 m/s
 Vz =    41050.62 +/- 2381.31 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.804427e+01, -1.394802e+03, +1.147842e+03, +2.722319e+02, -4.840961e+03, +4.026116e+03
-1.394802e+03, +8.456129e+04, -6.958098e+04, -5.622472e+03, +4.058080e+05, -3.374062e+05
+1.147842e+03, -6.958098e+04, +5.730237e+04, +4.439192e+03, -3.339202e+05, +2.778455e+05
+2.722319e+02, -5.622472e+03, +4.439192e+03, +6.301645e+03, +4.103714e+04, -3.333692e+04
-4.840961e+03, +4.058080e+05, -3.339202e+05, +4.103714e+04, +3.379513e+06, -2.731492e+06
+4.026116e+03, -3.374062e+05, +2.778455e+05, -3.333692e+04, -2.731492e+06, +2.213407e+06

Timing offsets (from input data):
    UK003F: -0.000206 s
    UK003H: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 03:25:46.909212 UTC
  Lon     = +-4.731548 +/- 0.0051 deg
  Lat     = +52.220216 +/- 0.0018 deg
  Lat geo = +52.036506 +/- 0.0018 deg
  Ht      =   96615.61 +/- 216.31 m

  JD dynamic   = 2459436.643704782706 
  LST apparent = 5.5479547836 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  25.31119 +/- 4.4605 deg
  Dec       = +44.42028 +/- 2.1189 deg
  Azimuth   = 112.99032 +/- 21.2771 deg
  Elevation = +74.79096 +/- 2.9428 deg
  Vavg      =  56.93048 +/- 1.2461 km/s
  Vinit     =  58.65076 +/- 1.3904 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  25.68341 +/- 4.4605 deg
  Dec       = +44.35274 +/- 2.1189 deg
  Azimuth   = 112.57595 +/- 21.2771 deg
  Elevation = +74.53935 +/- 2.9428 deg
  Vavg      =  57.00115 +/- 1.2461 km/s
  Vinit     =  58.72144 +/- 1.3904 km/s
Radiant (geocentric, J2000):
  R.A.   =  25.13904 +/- 4.4874 deg
  Dec    = +44.22736 +/- 2.1382 deg
  Vg     =  57.58939 +/- 1.4133 km/s
  Vinf   =  58.65076 +/- 1.3904 km/s
  Zc     =  15.13821 +/- 2.9143 deg
  Zg     =  15.27724 +/- 2.9420 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  40.63697 +/- 1.8841 deg
  Bg     = +31.25697 +/- 3.2854 deg
  Vh     =  36.19982 +/- 2.9343 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  30.00796 +/- 5.5090 deg
  Bh     = +55.63911 +/- 2.8928 deg
  Vh_x   = -17.69261 +/- 0.0698 km/s
  Vh_y   = -10.21811 +/- 1.8962 km/s
  Vh_z   = -29.88291 +/- 3.5654 km/s
Orbit:
  La Sun = 137.446240 +/- nan deg
  a      =   2.017026 +/- 90.2926 AU
  e      =   0.518625 +/- 0.2779
  i      = 123.116027 +/- 3.7357 deg
  peri   = 208.778943 +/- 1.4463 deg
  node   = 137.445782 +/- 0.0003 deg
  Pi     = 346.224725 +/- 1.4461 deg
  q      =   0.970946 +/- 0.0012 AU
  f      = 331.217167 +/- 1.4464 deg
  M      = 351.969228 +/- nan deg
  Q      =   3.063106 +/- 180.5852 AU
  n      =   0.344062 +/- 0.1929 deg/day
  T      =   2.864625 +/- 485215179.4479 years
  Last perihelion JD = 2458413.662200 (2018-10-22 03:53:34.104393) +/- 180939.3713 days
  Tj     =   1.998557 +/- 1.4516
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.836970e-02, -4.527448e-05, -1.153732e+04, +4.347980e-07, -2.952177e-03, -5.939410e-03
q   , -4.527448e-05, +6.406051e-07, +2.725503e+01, -1.037614e-09, +4.217687e-06, +1.426357e-05
Tp  , -1.153732e+04, +2.725503e+01, +3.190849e+10, -2.394195e-01, +1.546417e+03, +3.356860e+03
node, +4.347980e-07, -1.037614e-09, -2.394195e-01, +1.050233e-11, -7.174878e-08, -1.429740e-07
peri, -2.952177e-03, +4.217687e-06, +1.546417e+03, -7.174878e-08, +5.084681e-04, +9.748503e-04
i   , -5.939410e-03, +1.426357e-05, +3.356860e+03, -1.429740e-07, +9.748503e-04, +1.947753e-03

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: UK003H
  Avg. res. = 9.088e-06 s
  Stddev    = 3.01e-03 s

Begin point on the trajectory:
  Lon =    -4.731582 +/- 0.0051 deg
  Lat =    52.220225 +/- 0.0018 deg
  Ht  = 96606.01 +/- 215.20 m
End point on the trajectory:
  Lon =    -4.768526 +/- 0.0048 deg
  Lat =    52.229644 +/- 0.0016 deg
  Ht  = 86596.30 +/- 149.77 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
    UK003F,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,    95123.73,    86596.30,          0.012342,     27.20,     45.14,              74.35, 1.0000,    True,    True, {"ff_name": "FF_UK003F_20210810_032543_137_0640000.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,  21.720329,   0.000000,    96606.01,    87332.20,          0.002221,      4.54,      6.83,              70.60, 1.0000,    True,    True, {"ff_name": "FF_UK003H_20210810_032542_804_0635904.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,     UK003F,       0,  0.021390, 2459436.642904295586, 272.00320,  33.39420,              296.70178,  21.78114,       296.68617,       21.78123,    272.00320,     +33.39420,     272.01619,      +33.38458,  3955227.32,   383811.31,  5093174.73,      52.221619,       -4.737023,   95123.73,  245238.34,       0.00,             1546.04,   177.19,      0.00,           57859.20,    -53.13,    -32.03,          52.18,  +0.88,  -1.07
  1,     UK003F,       0,  0.061886, 2459436.642904764507, 271.59098,  32.99273,              296.69039,  21.25194,       296.68128,       21.25199,    271.59098,     +32.99273,     271.59875,      +32.98712,  3953752.90,   383114.00,  5091576.41,      52.223691,       -4.745149,   92920.17,  244917.65,    2283.59,             3829.64,    85.66,  56390.59,           57859.20,    -31.08,    -18.73,          30.56,  -0.19,  -2.14
  2,     UK003F,       0,  0.102378, 2459436.642905232962, 271.19768,  32.58320,              296.66407,  20.72617,       296.67644,       20.72610,    271.19768,     +32.58320,     271.18767,      +32.59081,  3952291.51,   382422.85,  5089992.21,      52.225746,       -4.753211,   90736.13,  244620.54,    4547.00,             6093.04,   -25.82,  55897.55,           57859.20,     42.32,     25.50,          41.66,  -0.15,  -2.09
  3,     UK003F,       0,  0.142926, 2459436.642905702349, 270.75069,  32.13646,              296.65149,  20.14136,       296.67124,       20.14124,    270.75069,     +32.13646,     270.73464,      +32.14859,  3950670.01,   381655.99,  5088234.45,      52.228027,       -4.762144,   88312.85,  244313.98,    7058.39,             8604.44,   107.40,  61936.35,           57859.20,     67.70,     40.78,          66.72,  -0.02,  -1.96
  4,     UK003F,       0,  0.183318, 2459436.642906169873, 270.41647,  31.83236,              296.66569,  19.72584,       296.66722,       19.72583,    270.41647,     +31.83236,     270.41586,      +31.83330,  3949521.39,   381112.76,  5086989.31,      52.229644,       -4.768526,   86596.30,  244115.10,    8837.38,            10383.42,  -482.63,  44042.99,           55446.67,      5.25,      3.17,           5.18,  +2.25,  +0.31
  0,     UK003H,       0,  0.000000, 2459436.642904041801, 271.13237,  39.48139,              301.41191,  26.09424,       301.40994,       26.09429,    271.13237,     +39.48139,     271.13398,      +39.48021,  3956219.12,   384280.36,  5094249.87,      52.220225,       -4.731582,   96606.01,  212852.77,       0.00,                9.95,  -104.39,      0.00,           60193.16,     -5.45,     -3.62,           6.34,  +1.40,  -0.24
  1,     UK003H,       0,  0.040544, 2459436.642904511187, 270.57247,  38.99071,              301.38639,  25.43979,       301.38592,       25.43981,    270.57247,     +38.99071,     270.57296,      +38.99043,  3954616.49,   383522.42,  5092512.56,      52.222477,       -4.740396,   94210.81,  212331.50,    2482.16,             2492.11,    -0.16,  61221.47,           60193.16,     -1.32,     -0.88,           1.54,  +0.28,  -1.36
  2,     UK003H,       0,  0.081028, 2459436.642904979642, 270.07820,  38.54767,              301.36239,  24.85300,       301.36443,       24.85295,    270.07820,     +38.54767,     270.07667,      +38.54889,  3953186.28,   382846.02,  5090962.17,      52.224488,       -4.748286,   92073.34,  211890.79,    4697.28,             4707.23,  -159.46,  54715.91,           60193.16,      5.69,      3.78,           6.65,  +0.08,  -1.55
  3,     UK003H,       0,  0.121624, 2459436.642905449495, 269.48125,  38.00372,              301.33427,  24.13548,       301.33878,       24.13536,    269.48125,     +38.00372,     269.47772,      +38.00641,  3951444.67,   382022.35,  5089074.20,      52.226937,       -4.757865,   89470.55,  211382.32,    7394.70,             7404.64,   156.97,  66445.34,           60193.16,     12.66,      8.41,          14.83,  +0.06,  -1.57
  4,     UK003H,       0,  0.162112, 2459436.642905917950, 268.99067,  37.55559,              301.31645,  23.54312,       301.31754,       23.54309,    268.99067,     +37.55559,     268.99030,      +37.55624,  3950013.81,   381345.65,  5087523.11,      52.228951,       -4.765771,   87332.20,  210991.13,    9610.81,             9620.75,    -1.57,  54735.02,           59546.44,      3.05,      2.03,           3.59,  +0.41,  -1.21

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.