Orbital Analysis for matched events on 20210816_001315.867_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 70.32° Bg 40.38° Vg 32.91km/s
mass 0.00648g, abs. mag 1.1
Path Details
------------
start -3.97° 50.91° 62.98km
end   -4.03° 50.87° 57.74km

Orbit Details
-------------
Semimajor axis 0.73A.U., eccentricity 0.48, inclination 75.63°, Period 0.62Y, LA Sun 143.08°, last Perihelion 2021-05-27

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: 2459442.509211431257
Time: 2021-08-16 00:13:15.867661 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001K and UK0020
 Convergence angle = 51.24664 deg
 R.A. =  55.48826  Dec = +61.86347 deg

Best intersection: Stations UK001K and UK0020 with Qconv = 51.25 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3290912.40 +/- 9.48 m
 Y =  -2394714.79 +/- 14.82 m
 Z =   4975808.05 +/- 9.21 m
 Vx =     9157.99 +/- 95.67 m/s
 Vy =    13250.41 +/- 184.25 m/s
 Vz =    30786.73 +/- 131.64 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.686790e+01, -6.780049e+01, +5.142770e+01, +7.752935e+02, -7.465899e+02, +5.866817e+02
-6.780049e+01, +2.340279e+02, -7.135323e+01, -9.182882e+02, +1.699652e+03, -1.861844e+03
+5.142770e+01, -7.135323e+01, +9.125709e+01, +3.395659e+02, -6.022055e+02, +6.664095e+02
+7.752935e+02, -9.182882e+02, +3.395659e+02, +7.988753e+03, -8.581766e+03, +7.298972e+03
-7.465899e+02, +1.699652e+03, -6.022055e+02, -8.581766e+03, +1.520779e+04, -1.612977e+04
+5.866817e+02, -1.861844e+03, +6.664095e+02, +7.298972e+03, -1.612977e+04, +1.817963e+04

Timing offsets (from input data):
    UK001K: 0.000000 s
    UK0020: 0.000147 s

Reference point on the trajectory:
  Time: 2021-08-16 00:13:15.867661 UTC
  Lon     = +-3.974627 +/- 0.0002 deg
  Lat     = +50.905037 +/- 0.0001 deg
  Lat geo = +50.718405 +/- 0.0001 deg
  Ht      =   62978.30 +/- 14.31 m

  JD dynamic   = 2459442.510012172163 
  LST apparent = 323.9575532775 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  55.34978 +/- 0.4596 deg
  Dec       = +62.38204 +/- 0.1998 deg
  Azimuth   =  39.23625 +/- 0.1521 deg
  Elevation = +42.88810 +/- 0.2715 deg
  Vavg      =  37.86339 +/- 0.0322 km/s
  Vinit     =  34.74572 +/- 0.0844 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  55.32460 +/- 0.4596 deg
  Dec       = +61.95024 +/- 0.1998 deg
  Azimuth   =  39.74981 +/- 0.1521 deg
  Elevation = +42.67711 +/- 0.2715 deg
  Vavg      =  38.00192 +/- 0.0322 km/s
  Vinit     =  34.88425 +/- 0.0844 km/s
Radiant (geocentric, J2000):
  R.A.   =  57.35144 +/- 0.4621 deg
  Dec    = +61.60651 +/- 0.2151 deg
  Vg     =  32.91283 +/- 0.0891 km/s
  Vinf   =  34.74572 +/- 0.0844 km/s
  Zc     =  47.25656 +/- 0.2714 deg
  Zg     =  48.61456 +/- 0.2871 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  70.31964 +/- 0.2238 deg
  Bg     = +40.38087 +/- 0.2574 deg
  Vh     =  23.12802 +/- 0.1354 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 180.65786 +/- 0.3423 deg
  Bh     = +67.21471 +/- 0.3360 deg
  Vh_x   =   8.95640 +/- 0.0865 km/s
  Vh_y   =   0.10284 +/- 0.0534 km/s
  Vh_z   = -21.32317 +/- 0.1701 km/s
Orbit:
  La Sun = 143.079067 +/- -0.0000 deg
  a      =   0.728861 +/- 0.0036 AU
  e      =   0.481164 +/- 0.0079
  i      =  75.631809 +/- 0.1163 deg
  peri   =  21.751097 +/- 0.3370 deg
  node   = 143.080651 +/- 0.0000 deg
  Pi     = 164.831749 +/- 0.3370 deg
  q      =   0.378159 +/- 0.0075 AU
  f      = 158.245244 +/- 0.3370 deg
  M      = 127.830671 +/- 0.4603 deg
  Q      =   1.079562 +/- 0.0013 AU
  n      =   1.583936 +/- 0.0121 deg/day
  T      =   0.622254 +/- 0.0046 years
  Last perihelion JD = 2459361.805519 (2021-05-27 07:19:56.805163) +/- 0.6810 days
  Tj     =   7.303097 +/- 0.0361
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.620259e-05, -6.289869e-05, +5.615453e-03, +1.024848e-09, -4.012695e-05, -1.553088e-05
q   , -6.289869e-05, +5.993437e-05, -5.274402e-03, -9.497253e-10, +3.959257e-05, +1.439222e-05
Tp  , +5.615453e-03, -5.274402e-03, +4.978002e-01, +9.530656e-08, -2.887127e-03, -1.444395e-03
node, +1.024848e-09, -9.497253e-10, +9.530656e-08, +1.928070e-14, -4.191756e-10, -2.922144e-10
peri, -4.012695e-05, +3.959257e-05, -2.887127e-03, -4.191756e-10, +3.675550e-05, +6.350249e-06
i   , -1.553088e-05, +1.439222e-05, -1.444395e-03, -2.922144e-10, +6.350249e-06, +4.428745e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 33.732063
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK001K
  Avg. res. = 9.571e-05 s
  Stddev    = 9.78e-03 s

Begin point on the trajectory:
  Lon =    -3.974657 +/- 0.0001 deg
  Lat =    50.905014 +/- 0.0001 deg
  Ht  = 62975.19 +/- 11.30 m
End point on the trajectory:
  Lon =    -4.025764 +/- 0.0001 deg
  Lat =    50.866091 +/- 0.0001 deg
  Ht  = 57738.99 +/- 23.41 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
    UK001K,   False,    -3.557111,    51.483925,   37.50,  50.000000,   0.000000,    62975.19,    59485.42,          0.013100,     21.09,      5.48,              94.70, 1.0000,   False,    True, {"ff_name": "FF_UK001K_20210816_001307_490_0357120.fits"}
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,    62373.85,    57738.99,          0.008567,      4.45,      9.84,              57.37, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210816_001309_590_0364544.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,     UK001K,       0,  0.000000, 2459442.509211431257, 306.09457,   5.12699,              204.53819,  41.21308,       204.54213,       41.21366,    306.09457,      +5.12699,     306.09179,       +5.12831,  3290911.19, -2394716.53,  4975804.00,      50.905014,       -3.974657,   62975.19,   94924.16,       0.00,                4.58,  -438.23,      0.00,           42342.60,      1.26,     -4.84,          10.87,  +0.93,  +1.04
  1,     UK001K,       0,  0.040740, 2459442.509211902507, 305.68681,   4.32049,              204.77860,  40.32853,       204.77555,       40.32809,    305.68681,      +4.32049,     305.68906,       +4.31945,  3290516.73, -2395287.28,  4974477.90,      50.897452,       -3.984591,   61956.70,   95049.03,    1496.63,             1501.20,  -357.15,  36736.05,           42342.60,     -0.99,      3.80,           8.52,  +0.51,  +0.62
  2,     UK001K,       0,  0.081680, 2459442.509212376550, 305.16083,   3.29929,              205.08777,  39.20523,       205.06149,       39.20140,    305.16083,      +3.29929,     305.17977,       +3.29022,  3290013.24, -2396015.75,  4972785.32,      50.887796,       -3.997225,   60657.01,   95241.53,    3406.86,             3411.44,   130.60,  46659.41,           42342.60,     -8.67,     33.33,          74.59,  +0.72,  +0.83
  3,     UK001K,       0,  0.122532, 2459442.509212849196, 304.70830,   2.37271,              205.33080,  38.19189,       205.31132,       38.18906,    304.70830,      +2.37271,     304.72278,       +2.36590,  3289559.29, -2396672.56,  4971259.25,      50.879086,       -4.008632,   59485.42,   95448.11,    5129.17,             5133.75,   433.48,  42159.77,           42342.60,     -6.53,     25.11,          56.06,  +1.48,  +1.58
  0,     UK0020,       0,  0.010946, 2459442.509211573750, 267.12582,  58.10788,              305.48897,  56.90917,       305.48057,       56.91731,    267.12582,     +58.10788,     267.14273,      +58.10516,  3290678.30, -2395053.50,  4975021.07,      50.900550,       -3.980473,   62373.85,   74271.05,       0.00,              888.19,    65.05,      0.00,           34007.44,    -11.03,      4.98,          33.61,  +4.33,  +4.98
  1,     UK0020,       0,  0.051154, 2459442.509212038945, 266.67911,  57.26263,              304.09052,  56.48270,       304.09796,       56.47574,    266.67911,     +57.26263,     266.66495,      +57.26493,  3290327.26, -2395561.41,  4973840.98,      50.893819,       -3.989330,   61467.59,   73560.31,    1331.84,             2220.03,    -0.16,  33123.85,           34007.44,      9.45,     -4.27,          29.09,  +2.36,  +3.03
  2,     UK0020,       0,  0.091398, 2459442.509212505072, 266.18232,  56.38938,              302.69669,  55.99637,       302.69260,       56.00007,    266.18232,     +56.38938,     266.19021,      +56.38818,  3289968.66, -2396080.25,  4972635.47,      50.886941,       -3.998375,   60541.95,   72852.32,    2692.38,             3580.56,   -37.93,  33807.11,           34007.44,     -5.04,      2.28,          15.66,  +0.97,  +1.66
  3,     UK0020,       0,  0.131650, 2459442.509212970734, 265.69765,  55.45856,              301.24717,  55.47275,       301.24027,       55.47879,    265.69765,     +55.45856,     265.71036,      +55.45661,  3289595.68, -2396619.91,  4971381.58,      50.879784,       -4.007775,   59579.31,   72135.75,    4107.51,             4995.69,   -21.39,  35156.76,           34007.44,     -8.25,      3.72,          25.88,  +1.11,  +1.82
  4,     UK0020,       0,  0.171910, 2459442.509213436861, 265.22923,  54.50317,              299.80077,  54.92180,       299.79358,       54.92789,    265.22923,     +54.50317,     265.24214,      +54.50122,  3289221.30, -2397161.59,  4970123.02,      50.872597,       -4.017210,   58613.23,   71437.68,    5527.91,             6416.10,     0.16,  35280.82,           34370.55,     -8.37,      3.78,          26.52,  +1.40,  +2.13
  5,     UK0020,       0,  0.212130, 2459442.509213902056, 264.84873,  53.61507,              298.48178,  54.41504,       298.49442,       54.40460,    264.84873,     +53.61507,     264.82878,      +53.61838,  3288882.46, -2397651.85,  4968983.93,      50.866091,       -4.025764,   57738.99,   70825.24,    6813.48,             7701.66,  -111.75,  31963.33,           34130.55,     14.38,     -6.50,          45.96,  +4.13,  +4.88

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.