Orbital Analysis for matched events on 20210904_025333.072_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 30.77° Bg 42.03° Vg 42.22km/s
mass 0.01162g, abs. mag 1.3
Path Details
------------
start -0.48° 51.56° 101.01km
end   -0.45° 51.56° 89.91km

Orbit Details
-------------
Semimajor axis 1.81A.U., eccentricity 0.69, inclination 78.44°, Period 2.43Y, LA Sun 161.51°, last Perihelion 2019-05-18

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: 2459461.620521669276
Time: 2021-09-04 02:53:33.072225 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002C
 Convergence angle = 36.71412 deg
 R.A. =   7.93314  Dec = +50.07712 deg

Best intersection: Stations UK000F and UK002C with Qconv = 36.71 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3616108.95 +/- 42.84 m
 Y =   1792130.03 +/- 66.94 m
 Z =   5052033.83 +/- 52.10 m
 Vx =    27725.06 +/- 303.37 m/s
 Vy =     3868.29 +/- 452.18 m/s
 Vz =    33497.53 +/- 305.91 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.925467e+03, +2.594711e+03, +2.008679e+03, +5.300450e+03, +1.471858e+04, +5.626128e+03
+2.594711e+03, +4.750303e+03, +3.429261e+03, +6.685124e+03, +2.556526e+04, +1.352959e+04
+2.008679e+03, +3.429261e+03, +2.912587e+03, +5.256834e+03, +2.156064e+04, +1.161779e+04
+5.300450e+03, +6.685124e+03, +5.256834e+03, +2.104012e+04, +5.271554e+04, +1.698652e+04
+1.471858e+04, +2.556526e+04, +2.156064e+04, +5.271554e+04, +2.063963e+05, +1.065287e+05
+5.626128e+03, +1.352959e+04, +1.161779e+04, +1.698652e+04, +1.065287e+05, +6.923751e+04

Timing offsets (from input data):
    UK000F: 0.000000 s
    UK002C: -0.000132 s

Reference point on the trajectory:
  Time: 2021-09-04 02:53:33.072225 UTC
  Lon     = +-0.478044 +/- 0.0006 deg
  Lat     = +51.564864 +/- 0.0002 deg
  Lat geo = +51.380260 +/- 0.0002 deg
  Ht      =  101039.91 +/- 79.87 m

  JD dynamic   = 2459461.621322410181 
  LST apparent = 26.3628426984 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =   7.94281 +/- 0.8845 deg
  Dec       = +50.11477 +/- 0.1858 deg
  Azimuth   = 270.12126 +/- 0.9317 deg
  Elevation = +78.30957 +/- 0.5594 deg
  Vavg      =  40.90991 +/- 0.3008 km/s
  Vinit     =  43.65464 +/- 0.2802 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =   8.51619 +/- 0.8845 deg
  Dec       = +50.20714 +/- 0.1858 deg
  Azimuth   = 270.12543 +/- 0.9317 deg
  Elevation = +78.68833 +/- 0.5594 deg
  Vavg      =  40.85123 +/- 0.3008 km/s
  Vinit     =  43.59596 +/- 0.2802 km/s
Radiant (geocentric, J2000):
  R.A.   =   7.34892 +/- 0.9008 deg
  Dec    = +49.94962 +/- 0.1896 deg
  Vg     =  42.21898 +/- 0.2900 km/s
  Vinf   =  43.65464 +/- 0.2802 km/s
  Zc     =  11.69226 +/- 0.5607 deg
  Zg     =  11.88841 +/- 0.5734 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  30.77063 +/- 0.7023 deg
  Bg     = +42.03500 +/- 0.3231 deg
  Vh     =  35.62061 +/- 0.0891 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 326.03873 +/- 1.2307 deg
  Bh     = +52.52989 +/- 0.3588 deg
  Vh_x   = -17.97319 +/- 0.1490 km/s
  Vh_y   =  12.10540 +/- 0.4956 km/s
  Vh_z   = -28.27104 +/- 0.1138 km/s
Orbit:
  La Sun = 161.514206 +/- -0.0000 deg
  a      =   1.809087 +/- 0.0247 AU
  e      =   0.687214 +/- 0.0030
  i      =  78.439650 +/- 0.9978 deg
  peri   = 274.452762 +/- 0.6891 deg
  node   = 161.516366 +/- 0.0000 deg
  Pi     =  75.969128 +/- 0.6891 deg
  q      =   0.565858 +/- 0.0047 AU
  f      = 265.545167 +/- 0.6891 deg
  M      = 340.209494 +/- 0.4432 deg
  Q      =   3.052317 +/- 0.0463 AU
  n      =   0.405056 +/- 0.0078 deg/day
  T      =   2.433268 +/- 0.0505 years
  Last perihelion JD = 2458621.713485 (2019-05-18 05:07:25.118541) +/- 18.5972 days
  Tj     =   3.048403 +/- 0.0239
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.588368e-06, +1.176556e-06, -4.605127e-02, +1.972171e-09, -1.160007e-05, -5.276336e-05
q   , +1.176556e-06, +2.334275e-05, -6.248591e-02, +1.126352e-09, -5.772010e-05, -3.011560e-05
Tp  , -4.605127e-02, -6.248591e-02, +3.604870e+02, -1.163433e-05, +1.936298e-01, +3.111977e-01
node, +1.972171e-09, +1.126352e-09, -1.163433e-05, +4.488506e-13, -4.533193e-09, -1.200952e-08
peri, -1.160007e-05, -5.772010e-05, +1.936298e-01, -4.533193e-09, +1.506532e-04, +1.212375e-04
i   , -5.276336e-05, -3.011560e-05, +3.111977e-01, -1.200952e-08, +1.212375e-04, +3.213357e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.001016
 a2 = 47.673009

Mean time residuals from time vs. length:
  Station with reference time: UK000F
  Avg. res. = 1.165e-05 s
  Stddev    = 3.41e-03 s

Begin point on the trajectory:
  Lon =    -0.477961 +/- 0.0006 deg
  Lat =    51.564864 +/- 0.0002 deg
  Ht  = 101011.69 +/- 73.92 m
End point on the trajectory:
  Lon =    -0.446445 +/- 0.0008 deg
  Lat =    51.564816 +/- 0.0003 deg
  Ht  = 89911.65 +/- 51.95 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   101011.69,    91097.28,          0.013162,      8.07,     25.79,              44.72, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20210904_025327_437_0647936.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,    99447.19,    89911.65,          0.027253,     24.41,     59.26,              55.22, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210904_025325_979_0674560.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,     UK000F,       0,  0.000000, 2459461.620521669276,  58.44736,  28.01644,              121.42909,  55.79471,       121.42093,       55.79543,     58.44736,     +28.01644,      58.45091,      +28.01975,  3616090.65,  1792127.47,  5052011.72,      51.564864,       -0.477961,  101011.69,  121602.97,       0.00,               28.82,   231.88,      0.00,           42293.29,      9.41,      2.94,          16.72,  +4.75,  +4.33
  1,     UK000F,       0,  0.080832, 2459461.620522604790,  59.30376,  27.23390,              121.17670,  54.71425,       121.13732,       54.71771,     59.30376,     +27.23390,      59.32223,      +27.25020,  3613996.79,  1791835.33,  5049481.91,      51.564851,       -0.468810,   97783.20,  119238.00,    3296.89,             3325.71,     0.08,  40786.96,           42293.29,     45.70,     14.32,          82.84,  +2.14,  +1.76
  2,     UK000F,       0,  0.121308, 2459461.620523073245,  59.81625,  26.79817,              120.98955,  54.09260,       120.97942,       54.09349,     59.81625,     +26.79817,      59.82139,      +26.80241,  3612822.07,  1791671.43,  5048062.61,      51.564843,       -0.463652,   95971.92,  117931.34,    5146.56,             5175.38,    82.78,  45697.80,           42293.29,     11.80,      3.69,          21.63,  +2.30,  +1.94
  3,     UK000F,       0,  0.161756, 2459461.620523541234,  60.27295,  26.38434,              120.84729,  53.51729,       120.83846,       53.51807,     60.27295,     +26.38434,      60.27770,      +26.38807,  3611761.25,  1791523.42,  5046780.92,      51.564836,       -0.459007,   94336.27,  116763.35,    6816.87,             6845.69,   -12.65,  41295.42,           42293.29,     10.32,      3.23,          19.11,  +1.78,  +1.44
  4,     UK000F,       0,  0.202236, 2459461.620524009690,  60.79032,  25.94569,              120.65479,  52.88901,       120.68773,       52.88611,     60.79032,     +25.94569,      60.77509,      +25.93162,  3610620.90,  1791364.32,  5045403.15,      51.564829,       -0.453999,   92578.00,  115521.93,    8612.41,             8641.23,    15.75,  44356.24,           42630.38,    -38.66,    -12.08,          72.31,  +2.13,  +1.82
  5,     UK000F,       0,  0.242664, 2459461.620524477679,  61.20110,  25.54163,              120.55518,  52.34448,       120.56254,       52.34383,     61.20110,     +25.54163,      61.19839,      +25.53846,  3609660.57,  1791230.33,  5044242.88,      51.564822,       -0.449806,   91097.28,  114486.85,   10124.50,            10153.32,  -237.03,  37402.05,           42155.64,     -8.66,     -2.71,          16.34,  +3.32,  +3.03
  0,     UK002C,       0,  0.035312, 2459461.620522033889,  90.81324,  42.07099,               75.06363,  45.52360,        75.09152,       45.52477,     90.81324,     +42.07099,      90.79662,      +42.05579,  3615075.98,  1791985.90,  5050785.79,      51.564858,       -0.473496,   99447.19,  138172.65,       0.00,             1626.47,   288.02,      0.00,           41799.97,    -43.63,     18.03,          70.47,  +3.69,  +2.99
  1,     UK002C,       0,  0.075680, 2459461.620522500947,  91.25491,  41.77646,               75.13007,  45.08479,        75.12749,       45.08468,     91.25491,     +41.77646,      91.25662,      +41.77787,  3614249.91,  1791870.65,  5049787.74,      51.564853,       -0.469921,   98173.49,  137423.16,    1300.68,             2927.16,  -173.55,  32220.61,           41799.97,      4.04,     -1.67,           6.56,  +1.93,  +1.24
  2,     UK002C,       0,  0.116216, 2459461.620522970334,  91.90848,  41.35129,               75.20644,  44.43906,        75.17998,       44.43795,     91.90848,     +41.35129,      91.92496,      +41.36582,  3613054.82,  1791703.91,  5048343.82,      51.564845,       -0.464671,   96330.79,  136357.02,    3182.42,             4808.90,   -61.39,  46421.50,           41799.97,     41.65,    -17.17,          68.14,  +1.87,  +1.20
  3,     UK002C,       0,  0.156748, 2459461.620523439255,  92.55540,  40.93642,               75.26450,  43.80055,        75.23065,       43.79912,     92.55540,     +40.93642,      92.57684,      +40.95510,  3611892.14,  1791541.68,  5046939.06,      51.564837,       -0.459565,   94538.08,  135336.57,    5013.13,             6639.61,    -0.09,  45167.02,           41799.97,     53.44,    -22.03,          88.10,  +1.74,  +1.08
  4,     UK002C,       0,  0.197328, 2459461.620523909107,  93.22071,  40.46272,               75.36473,  43.11242,        75.28428,       43.10903,     93.22071,     +40.46272,      93.27184,      +40.50732,  3610655.81,  1791369.19,  5045445.32,      51.564829,       -0.454122,   92631.82,  134270.79,    6959.80,             8586.28,   175.07,  47971.18,           43527.93,    127.51,    -52.47,         211.81,  +1.59,  +0.95
  5,     UK002C,       0,  0.237800, 2459461.620524377562,  93.82663,  40.12515,               75.34483,  42.54030,        75.32737,       42.53956,     93.82663,     +40.12515,      93.83855,      +40.13486,  3609648.96,  1791228.71,  5044228.84,      51.564822,       -0.449717,   91079.38,  133415.92,    8545.15,            10171.62,    -6.38,  39171.32,           43398.90,     27.74,    -11.44,          46.39,  +2.26,  +1.63
  6,     UK002C,       0,  0.278160, 2459461.620524844620,  94.25086,  39.83915,               75.37954,  42.10810,        75.35923,       42.10724,     94.25086,     +39.83915,      94.26485,      +39.85048,  3608891.63,  1791123.04,  5043313.83,      51.564816,       -0.446445,   89911.65,  132779.63,    9737.60,            11364.07,  -575.83,  29545.38,           41874.48,     32.32,    -13.34,          54.32,  +4.48,  +3.86

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.