Orbital Analysis for matched events on 20210929_004502.907_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 87.04° Bg 19.29° Vg 63.61km/s
mass 0.00347g, abs. mag 1.2
Path Details
------------
start -0.88° 50.40° 109.22km
end   -0.98° 50.38° 102.25km

Orbit Details
-------------
Semimajor axis 2.47A.U., eccentricity 0.63, inclination 144.63°, Period 3.87Y, LA Sun 185.81°, last Perihelion 2017-12-12

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: 2459486.531283647753
Time: 2021-09-29 00:45:02.946796 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK002D
 Convergence angle = 8.70470 deg
 R.A. =  86.27153  Dec = +42.78421 deg

Best intersection: Stations UK0001 and UK002D with Qconv = 8.70 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3932272.62 +/- 571.72 m
 Y =   1309513.34 +/- 691.82 m
 Z =   4977527.12 +/- 352.87 m
 Vx =     3147.42 +/- 3160.60 m/s
 Vy =    47194.81 +/- 3765.68 m/s
 Vz =    43956.68 +/- 4217.16 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.564040e+04, +1.273149e+05, +6.166050e+04, +2.717675e+05, +3.759648e+05, +1.503397e+05
+1.273149e+05, +1.738678e+05, +8.270597e+04, +3.732768e+05, +5.285373e+05, +1.963855e+05
+6.166050e+04, +8.270597e+04, +4.105657e+04, +1.853933e+05, +2.489068e+05, +1.036840e+05
+2.717675e+05, +3.732768e+05, +1.853933e+05, +1.290701e+06, +1.625097e+06, +6.555764e+05
+3.759648e+05, +5.285373e+05, +2.489068e+05, +1.625097e+06, +2.174908e+06, +7.815983e+05
+1.503397e+05, +1.963855e+05, +1.036840e+05, +6.555764e+05, +7.815983e+05, +3.671302e+05

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK002D: -0.000415 s

Reference point on the trajectory:
  Time: 2021-09-29 00:45:02.946796 UTC
  Lon     = +-0.849688 +/- 0.0066 deg
  Lat     = +50.403086 +/- 0.0032 deg
  Lat geo = +50.217216 +/- 0.0032 deg
  Ht      =  111613.44 +/- 755.78 m

  JD dynamic   = 2459486.532084847335 
  LST apparent = 18.4186313542 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  86.18459 +/- 3.2809 deg
  Dec       = +42.90204 +/- 1.3716 deg
  Azimuth   =  71.99966 +/- 3.7281 deg
  Elevation = +44.52469 +/- 1.3034 deg
  Vavg      =  60.23423 +/- 4.0321 km/s
  Vinit     =  64.57125 +/- 4.4592 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  86.32231 +/- 3.2809 deg
  Dec       = +42.73351 +/- 1.3716 deg
  Azimuth   =  72.11518 +/- 3.7281 deg
  Elevation = +44.34635 +/- 1.3034 deg
  Vavg      =  60.43953 +/- 4.0321 km/s
  Vinit     =  64.77656 +/- 4.4592 km/s
Radiant (geocentric, J2000):
  R.A.   =  86.20135 +/- 3.3278 deg
  Dec    = +42.69277 +/- 1.3579 deg
  Vg     =  63.61109 +/- 4.5116 km/s
  Vinf   =  64.57125 +/- 4.4592 km/s
  Zc     =  45.53302 +/- 1.3149 deg
  Zg     =  45.89325 +/- 1.3567 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  87.04270 +/- 2.7555 deg
  Bg     = +19.29406 +/- 1.1695 deg
  Vh     =  37.56828 +/- 4.6641 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  77.79122 +/- 3.3752 deg
  Bh     = +34.02304 +/- 3.0897 deg
  Vh_x   =  -6.58470 +/- 3.9694 km/s
  Vh_y   = -30.43285 +/- 4.1806 km/s
  Vh_z   = -21.02044 +/- 0.4768 km/s
Orbit:
  La Sun = 185.806862 +/- 0.0000 deg
  a      =   2.466969 +/- 38.8378 AU
  e      =   0.628688 +/- 0.4202
  i      = 144.629156 +/- 2.6097 deg
  peri   = 218.916729 +/- 1.2064 deg
  node   = 185.806543 +/- 0.0002 deg
  Pi     =  44.723272 +/- 1.2062 deg
  q      =   0.916014 +/- 0.0222 AU
  f      = 321.081591 +/- 1.2065 deg
  M      = 352.665952 +/- nan deg
  Q      =   4.017923 +/- 77.6747 AU
  n      =   0.254366 +/- 0.5052 deg/day
  T      =   3.874771 +/- 475311934.6468 years
  Last perihelion JD = 2458100.079952 (2017-12-12 13:55:07.876754) +/- 185166.8788 days
  Tj     =   1.236401 +/- 2.6757
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.545121e-02, -7.070170e-04, -1.036547e+04, -1.504209e-07, -1.170220e-03, +2.689353e-03
q   , -7.070170e-04, +3.529033e-05, +4.231166e+02, +6.772183e-09, +4.382168e-05, -1.215608e-04
Tp  , -1.036547e+04, +4.231166e+02, +3.164220e+10, +9.497602e-02, +7.582193e+02, -1.657507e+03
node, -1.504209e-07, +6.772183e-09, +9.497602e-02, +1.727429e-12, +1.193083e-08, -3.072120e-08
peri, -1.170220e-03, +4.382168e-05, +7.582193e+02, +1.193083e-08, +1.248923e-04, -2.128474e-04
i   , +2.689353e-03, -1.215608e-04, -1.657507e+03, -3.072120e-08, -2.128474e-04, +5.469912e-04

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: UK0001
  Avg. res. = 2.156e-05 s
  Stddev    = 4.64e-03 s

Begin point on the trajectory:
  Lon =    -0.881739 +/- 0.0040 deg
  Lat =    50.396425 +/- 0.0021 deg
  Ht  = 109216.72 +/- 464.34 m
End point on the trajectory:
  Lon =    -0.975771 +/- 0.0042 deg
  Lat =    50.376959 +/- 0.0025 deg
  Ht  = 102246.06 +/- 503.22 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,  40.824829,   0.000000,   109216.72,   102246.06,          0.016325,     27.45,     27.02,              32.11, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210929_004501_171_0570880.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   109034.31,   102493.79,          0.014334,     24.23,     32.30,              48.47, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210929_004455_953_0570112.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,     UK0001,       1,  0.000000, 2459486.531283647753,  48.96393,  22.81032,              127.17777,  52.84008,       127.16284,       52.78370,     48.96393,     +22.81032,      49.00550,      +22.76800,  3932278.40,  1309599.91,  4977607.75,      50.403316,       -0.848412,  111696.50,  139538.70,       0.00,              118.44,  -448.86,      0.00,           69014.41,     97.34,     99.29,         205.54,  +4.99,  +4.27
  1,     UK0001,       0,  0.039620, 2459486.531284106430,  48.31473,  22.14905,              128.60060,  52.60656,       128.60971,       52.63685,     48.31473,     +22.14905,      48.29241,      +22.17174,  3932105.99,  1307014.75,  4975199.96,      50.396425,       -0.881739,  109216.72,  136714.25,    3536.98,             3418.54,   292.93,  89272.69,           69014.41,    -51.57,    -52.35,         110.87,  +3.64,  +2.96
  2,     UK0001,       0,  0.079308, 2459486.531284565572,  47.82595,  21.76862,              129.56443,  52.52305,       129.56691,       52.53076,     47.82595,     +21.76862,      47.82055,      +21.77439,  3931995.29,  1305354.75,  4973653.86,      50.391992,       -0.903207,  107624.89,  134916.56,    5808.17,             5689.73,     1.41,  57226.02,           69014.41,    -12.98,    -13.19,          28.29,  +1.31,  +0.66
  3,     UK0001,       0,  0.118964, 2459486.531285024714,  47.27972,  21.30966,              130.66810,  52.39443,       130.66928,       52.39784,     47.27972,     +21.30966,      47.27767,      +21.31222,  3931870.59,  1303484.90,  4971912.31,      50.386991,       -0.927376,  105832.31,  132909.97,    8366.46,             8248.02,    -0.94,  64512.11,           69014.41,     -5.67,     -5.76,          12.55,  +1.21,  +0.59
  4,     UK0001,       0,  0.158616, 2459486.531285483390,  46.74025,  20.87199,              131.74171,  52.27392,       131.73612,       52.25882,     46.74025,     +20.87199,      46.75221,      +20.86068,  3931752.69,  1301717.05,  4970265.76,      50.382256,       -0.950242,  104137.96,  131030.51,   10785.21,            10666.77,  -142.57,  60999.36,           66568.54,     24.80,     25.26,          55.72,  +1.31,  +0.72
  5,     UK0001,       0,  0.198248, 2459486.531285942066,  46.15709,  20.33268,              132.95175,  52.07844,       132.95500,       52.08660,     46.15709,     +20.33268,      46.15177,      +20.33880,  3931621.01,  1299742.52,  4968426.70,      50.376959,       -0.975771,  102246.06,  128953.53,   13486.73,            13368.29,    -0.13,  68165.22,           66097.67,    -13.26,    -13.49,          30.25,  +1.83,  +1.28
  0,     UK002D,       0,  0.039600, 2459486.531284111086,  41.13930,   5.79986,              148.36792,  40.38915,       148.36879,       40.39025,     41.13930,      +5.79986,      41.13847,       +5.80068,  3932093.31,  1306824.54,  4975022.81,      50.395917,       -0.884182,  109034.31,  166158.23,       0.00,             3678.78,   554.46,      0.00,           61666.53,     -2.97,     -2.23,           4.61,  +5.35,  +4.25
  1,     UK002D,       0,  0.079928, 2459486.531284578145,  40.78106,   5.38346,              148.98748,  40.11183,       148.98451,       40.10813,     40.78106,      +5.38346,      40.78476,       +5.38068,  3931998.94,  1305409.57,  4973704.92,      50.392138,       -0.902508,  107677.45,  165031.05,    1935.95,             5614.73,  -113.62,  48005.09,           61666.53,     10.01,      7.51,          15.64,  +2.15,  +1.06
  2,     UK002D,       0,  0.120428, 2459486.531285046600,  40.24291,   4.75419,              149.91118,  39.68621,       149.90231,       39.67532,     40.24291,      +4.75419,      40.25335,       +4.74600,  3931858.82,  1303308.49,  4971748.00,      50.386519,       -0.929649,  105663.22,  163387.84,    4810.61,             8489.38,   145.90,  70979.22,           61666.53,     29.30,     22.01,          46.26,  +1.82,  +0.75
  3,     UK002D,       0,  0.160896, 2459486.531285515055,  39.77936,   4.16922,              150.71552,  39.27348,       150.72028,       39.27923,     39.77936,      +4.16922,      39.77475,       +4.17357,  3931734.87,  1301449.81,  4970016.85,      50.381540,       -0.953686,  103881.88,  161962.54,    7353.63,            11032.40,    75.85,  62840.21,           61666.53,    -15.45,    -11.59,          24.60,  +2.12,  +1.07
  4,     UK002D,       0,  0.201272, 2459486.531285982579,  39.41649,   3.70231,              151.34253,  38.93831,       151.36229,       38.96196,     39.41649,      +3.70231,      39.39554,       +3.72025,  3931638.25,  1300001.13,  4968667.56,      50.377653,       -0.972464,  102493.79,  160869.96,    9335.70,            13014.47,  -549.21,  49090.30,           59582.85,    -63.33,    -47.50,         101.50,  +4.69,  +3.66

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.