Orbital Analysis for matched events on 20210813_233110.900_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 78.72° Bg 46.41° Vg 50.99km/s
mass 0.09496g, abs. mag -1.6
Path Details
------------
start 3.75° 53.21° 107.86km
end   3.68° 53.14° 99.08km

Orbit Details
-------------
Semimajor axis 6.84A.U., eccentricity 0.88, inclination 92.72°, Period 17.90Y, LA Sun 141.13°, last Perihelion 2021-07-12

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: 2459440.479987269267
Time: 2021-08-13 23:31:10.900065 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002K
 Convergence angle = 10.61798 deg
 R.A. =  65.60282  Dec = +68.64607 deg

Best intersection: Stations UK000Z and UK002K with Qconv = 10.62 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2944638.42 +/- 911.34 m
 Y =  -2545412.05 +/- 503.05 m
 Z =   5171282.62 +/- 236.46 m
 Vx =     7114.34 +/- 4201.66 m/s
 Vy =    16932.37 +/- 2598.33 m/s
 Vz =    48843.27 +/- 5658.85 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.743026e+05, +1.502091e+05, +7.460270e+04, +1.168553e+06, +6.372366e+05, +3.093170e+05
+1.502091e+05, +8.443363e+04, +4.145954e+04, +6.208268e+05, +3.484204e+05, +1.640144e+05
+7.460270e+04, +4.145954e+04, +2.147944e+04, +2.773478e+05, +1.529376e+05, +7.491493e+04
+1.168553e+06, +6.208268e+05, +2.773478e+05, +1.048160e+07, +5.703501e+06, +2.539061e+06
+6.372366e+05, +3.484204e+05, +1.529376e+05, +5.703501e+06, +3.174581e+06, +1.373754e+06
+3.093170e+05, +1.640144e+05, +7.491493e+04, +2.539061e+06, +1.373754e+06, +6.239740e+05

Timing offsets (from input data):
    UK000Z: -0.002055 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:31:10.900065 UTC
  Lon     = ++3.747738 +/- 0.0144 deg
  Lat     = +53.213749 +/- 0.0014 deg
  Lat geo = +53.032087 +/- 0.0013 deg
  Ht      =  107913.13 +/- 405.18 m

  JD dynamic   = 2459440.480788010173 
  LST apparent = 319.1591229443 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  67.20971 +/- 4.9314 deg
  Dec       = +69.39253 +/- 4.0894 deg
  Azimuth   =  27.31799 +/- 6.3977 deg
  Elevation = +43.18235 +/- 0.5667 deg
  Vavg      =  51.28231 +/- 4.1692 km/s
  Vinit     =  52.18222 +/- 4.0650 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  66.93932 +/- 4.9314 deg
  Dec       = +69.11547 +/- 4.0894 deg
  Azimuth   =  27.69641 +/- 6.3977 deg
  Elevation = +43.08403 +/- 0.5667 deg
  Vavg      =  51.37798 +/- 4.1692 km/s
  Vinit     =  52.27788 +/- 4.0650 km/s
Radiant (geocentric, J2000):
  R.A.   =  67.90085 +/- 5.0776 deg
  Dec    = +68.98405 +/- 4.0651 deg
  Vg     =  50.98841 +/- 4.1357 km/s
  Vinf   =  52.18222 +/- 4.0650 km/s
  Zc     =  46.97911 +/- 0.5551 deg
  Zg     =  47.55536 +/- 0.5112 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  78.71551 +/- 4.6742 deg
  Bg     = +46.41039 +/- 3.1128 deg
  Vh     =  40.27105 +/- 1.7328 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 134.84861 +/- 16.6380 deg
  Bh     = +66.50015 +/- 3.8952 deg
  Vh_x   =  11.32464 +/- 5.4573 km/s
  Vh_y   = -11.38465 +/- 3.2979 km/s
  Vh_z   = -36.93102 +/- 0.1894 km/s
Orbit:
  La Sun = 141.129594 +/- nan deg
  a      =   6.843298 +/- 92.8987 AU
  e      =   0.876869 +/- 0.1606
  i      =  92.723698 +/- 7.8373 deg
  peri   = 129.781241 +/- 9.2939 deg
  node   = 141.130033 +/- 0.0006 deg
  Pi     = 270.911273 +/- 9.2933 deg
  q      =   0.842624 +/- 0.0378 AU
  f      =  50.215113 +/- 9.2941 deg
  M      =   1.799290 +/- nan deg
  Q      =  12.843972 +/- 185.7971 AU
  n      =   0.055056 +/- 0.0657 deg/day
  T      =  17.901886 +/- 446947388.8384 years
  Last perihelion JD = 2459407.799799 (2021-07-12 07:11:42.592716) +/- 3.2121 days
  Tj     =   0.708100 +/- 1.0412
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.631572e-03, +9.050224e-04, +1.225943e-01, -2.027295e-07, +3.377183e-03, +2.939818e-03
q   , +9.050224e-04, +7.074789e-04, +8.606526e-02, -1.582495e-07, +2.488990e-03, +2.333266e-03
Tp  , +1.225943e-01, +8.606526e-02, +1.080998e+01, -1.923513e-05, +3.080678e-01, +2.822519e-01
node, -2.027295e-07, -1.582495e-07, -1.923513e-05, +3.629851e-11, -5.564471e-07, -5.350244e-07
peri, +3.377183e-03, +2.488990e-03, +3.080678e-01, -5.564471e-07, +8.838642e-03, +8.183209e-03
i   , +2.939818e-03, +2.333266e-03, +2.822519e-01, -5.350244e-07, +8.183209e-03, +7.891923e-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: UK002K
  Avg. res. = 5.343e-06 s
  Stddev    = 2.31e-03 s

Begin point on the trajectory:
  Lon =     3.747388 +/- 0.0143 deg
  Lat =    53.213342 +/- 0.0014 deg
  Ht  = 107864.52 +/- 400.43 m
End point on the trajectory:
  Lon =     3.683050 +/- 0.0105 deg
  Lat =    53.139660 +/- 0.0008 deg
  Ht  = 99076.78 +/- 298.62 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   107484.29,    99076.78,          0.041698,     70.30,    267.56,              47.34, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20210813_233100_917_0291072.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   107864.52,    99359.11,          0.006430,     14.24,     30.17,              51.19, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_233108_321_0296448.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,     UK000Z,       0,  0.010225, 2459440.479987411760,  38.46915,  14.31052,               85.36157,  14.49934,        85.35969,       14.49718,     38.46915,     +14.31052,      38.47201,      +14.30995,  2944552.98, -2545615.40,  5170696.03,      53.210161,       +3.744599,  107484.29,  385558.65,       0.00,              626.69,   157.00,      0.00,           51317.23,     18.39,      4.86,          10.17,  +3.09,  +0.16
  1,     UK000Z,       0,  0.090473, 2459440.479988340754,  38.35273,  13.82587,               85.76219,  14.18789,        85.75143,       14.17564,     38.35273,     +13.82587,      38.36930,      +13.82266,  2944016.85, -2546891.42,  5167015.21,      53.187636,       +3.724896,  104793.98,  383465.67,    3932.45,             4559.14,   -98.07,  49003.66,           51317.23,    104.06,     27.51,          57.90,  +2.24,  -0.68
  2,     UK000Z,       0,  0.130649, 2459440.479988805484,  38.34033,  13.53818,               85.95490,  13.96888,        85.97482,       13.99153,     38.34033,     +13.53818,      38.31081,      +13.54410,  2943713.03, -2547614.51,  5164929.40,      53.174862,       +3.713754,  103270.01,  382294.02,    6160.84,             6787.53,    33.85,  55465.86,           51317.23,   -192.15,    -50.61,         107.21,  +1.19,  -1.72
  3,     UK000Z,       0,  0.170781, 2459440.479989270214,  38.27985,  13.28036,               86.16628,  13.80208,        86.18222,       13.82018,     38.27985,     +13.28036,      38.25654,      +13.28509,  2943432.18, -2548282.95,  5163001.21,      53.163047,       +3.703443,  101861.55,  381218.50,    8220.84,             8847.53,    -0.32,  51330.63,           51317.23,   -153.23,    -40.38,          85.74,  +0.89,  -2.02
  4,     UK000Z,       0,  0.210957, 2459440.479989734944,  38.27246,  12.99567,               86.35253,  13.58218,        86.40192,       13.63818,     38.27246,     +12.99567,      38.19910,      +13.01027,  2943135.94, -2548988.02,  5160967.35,      53.150577,       +3.692578,  100376.26,  380093.48,   10393.74,            11020.43,    76.10,  54084.47,           51867.20,   -473.28,   -124.21,         265.53,  +0.95,  -1.95
  5,     UK000Z,       0,  0.251073, 2459440.479990199208,  38.20511,  12.75716,               86.55666,  13.43452,        86.59496,       13.47792,     38.20511,     +12.75716,      38.14863,      +12.76848,  2942876.69, -2549605.03,  5159187.51,      53.139660,       +3.683050,   99076.78,  379115.12,   12295.25,            12921.94,  -115.73,  47400.35,           51556.99,   -366.01,    -96.19,         205.90,  +0.93,  -1.96
  0,     UK002K,       0,  0.000000, 2459440.479987269267,  28.44437,  12.49676,               95.82869,  19.85456,        95.82259,       19.84728,     28.44437,     +12.49676,      28.45352,      +12.49444,  2944628.74, -2545435.10,  5171216.12,      53.213342,       +3.747388,  107864.52,  299588.91,       0.00,               71.05,   134.90,      0.00,           51241.26,     43.87,     20.72,          33.40,  +1.90,  -0.48
  1,     UK002K,       0,  0.040228, 2459440.479987734929,  28.36220,  12.17424,               96.10394,  19.64634,        96.10019,       19.64189,     28.36220,     +12.17424,      28.36794,      +12.17283,  2944360.89, -2546072.59,  5169377.22,      53.202093,       +3.737543,  106520.23,  298659.21,    1964.61,             2035.65,     0.32,  48836.85,           51241.26,     26.77,     12.64,          20.44,  +1.37,  -1.01
  2,     UK002K,       0,  0.080492, 2459440.479988200590,  28.27728,  11.80043,               96.41371,  19.39856,        96.41892,       19.40475,     28.27728,     +11.80043,      28.26975,      +11.80239,  2944054.50, -2546801.80,  5167273.75,      53.189219,       +3.726306,  104982.91,  297609.66,    4211.88,             4282.92,   146.53,  55813.31,           51241.26,    -37.11,    -17.51,          28.44,  +1.41,  -0.96
  3,     UK002K,       0,  0.120708, 2459440.479988666251,  28.18732,  11.48472,               96.68984,  19.19977,        96.69117,       19.20135,     28.18732,     +11.48472,      28.18578,      +11.48522,  2943793.84, -2547422.20,  5165484.14,      53.178260,       +3.716723,  103675.29,  296725.66,    6123.82,             6194.87,   -40.09,  47541.91,           51241.26,     -9.45,     -4.46,           7.26,  +2.73,  +0.37
  4,     UK002K,       0,  0.160940, 2459440.479989131913,  28.10035,  11.15350,               96.97284,  18.98657,        96.97458,       18.98862,     28.10035,     +11.15350,      28.09837,      +11.15416,  2943523.43, -2548065.78,  5163627.65,      53.166886,       +3.706788,  102319.10,  295819.33,    8107.22,             8178.26,  -156.09,  49299.00,           50635.59,    -12.30,     -5.80,           9.48,  +2.36,  +0.00
  5,     UK002K,       0,  0.201204, 2459440.479989598040,  27.98681,  10.76791,               97.31176,  18.74523,        97.30600,       18.73843,     27.98681,     +10.76791,      27.99620,      +10.76575,  2943208.34, -2548815.70,  5161464.43,      53.153626,       +3.695242,  100739.24,  294778.36,   10418.32,            10489.36,    53.95,  57398.62,           51429.34,     40.57,     19.16,          31.39,  +1.28,  -1.07
  6,     UK002K,       0,  0.241440, 2459440.479990063701,  27.90094,  10.42530,               97.59982,  18.52161,        97.59674,       18.51799,     27.90094,     +10.42530,      27.90648,      +10.42414,  2942933.02, -2549470.97,  5159574.24,      53.142033,       +3.685132,   99359.11,  293879.35,   12437.73,            12508.77,   -26.24,  50189.19,           51579.89,     21.58,     10.19,          16.75,  +1.82,  -0.52

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.