Orbital Analysis for matched events on 20210816_024422.823_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.49° Bg 38.27° Vg 58.31km/s
mass 0.00471g, abs. mag 0.9
Path Details
------------
start -3.86° 50.96° 110.80km
end   -3.94° 50.92° 98.78km

Orbit Details
-------------
Semimajor axis 8.57A.U., eccentricity 0.89, inclination 112.49°, Period 25.10Y, LA Sun 143.18°, last Perihelion 2021-07-23

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: 2459442.614153048955
Time: 2021-08-16 02:44:22.863824 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0020 and UK003E
 Convergence angle = 18.71932 deg
 R.A. =  54.67726  Dec = +58.86078 deg

Best intersection: Stations UK0020 and UK003E with Qconv = 18.72 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4094077.38 +/- 224.12 m
 Y =    141018.64 +/- 94.91 m
 Z =   5019373.04 +/- 491.42 m
 Vx =    17827.84 +/- 1126.15 m/s
 Vy =    24770.58 +/- 2421.38 m/s
 Vz =    50911.81 +/- 2399.92 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.613668e+04, -7.135367e+03, +3.553808e+04, +5.827755e+04, -9.361273e+04, +1.059011e+05
-7.135367e+03, +3.220737e+03, -1.575642e+04, -2.695565e+04, +4.002587e+04, -5.054710e+04
+3.553808e+04, -1.575642e+04, +7.843955e+04, +1.265854e+05, -2.058231e+05, +2.304087e+05
+5.827755e+04, -2.695565e+04, +1.265854e+05, +3.043733e+05, -3.201144e+05, +5.995186e+05
-9.361273e+04, +4.002587e+04, -2.058231e+05, -3.201144e+05, +6.277577e+05, -5.364364e+05
+1.059011e+05, -5.054710e+04, +2.304087e+05, +5.995186e+05, -5.364364e+05, +1.220874e+06

Timing offsets (from input data):
    UK0020: 0.000000 s
    UK003E: -0.002219 s

Reference point on the trajectory:
  Time: 2021-08-16 02:44:22.863824 UTC
  Lon     = +-3.842021 +/- 0.0014 deg
  Lat     = +50.965874 +/- 0.0012 deg
  Lat geo = +50.780780 +/- 0.0012 deg
  Ht      =  113518.08 +/- 520.71 m

  JD dynamic   = 2459442.614954257384 
  LST apparent = 1.9727471723 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  54.25675 +/- 2.4063 deg
  Dec       = +59.05943 +/- 1.1088 deg
  Azimuth   =  53.96775 +/- 1.7784 deg
  Elevation = +59.80545 +/- 1.4016 deg
  Vavg      =  57.74796 +/- 1.1176 km/s
  Vinit     =  59.35845 +/- 2.1020 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.59718 +/- 2.4063 deg
  Dec       = +58.86375 +/- 1.1088 deg
  Azimuth   =  54.30229 +/- 1.7784 deg
  Elevation = +59.60390 +/- 1.4016 deg
  Vavg      =  57.87008 +/- 1.1176 km/s
  Vinit     =  59.48057 +/- 2.1020 km/s
Radiant (geocentric, J2000):
  R.A.   =  54.34759 +/- 2.4426 deg
  Dec    = +58.95218 +/- 1.1257 deg
  Vg     =  58.31280 +/- 2.1374 km/s
  Vinf   =  59.35845 +/- 2.1020 km/s
  Zc     =  30.30376 +/- 1.3969 deg
  Zg     =  30.57951 +/- 1.4258 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.48676 +/- 1.1288 deg
  Bg     = +38.26933 +/- 1.4440 deg
  Vh     =  40.60310 +/- 2.3288 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.46868 +/- 3.1517 deg
  Bh     = +62.81100 +/- 1.4388 deg
  Vh_x   =  -0.17204 +/- 1.1129 km/s
  Vh_y   = -18.55186 +/- 0.7645 km/s
  Vh_z   = -36.11662 +/- 2.4173 km/s
Orbit:
  La Sun = 143.179913 +/- 0.0000 deg
  a      =   8.572900 +/- 37.0524 AU
  e      =   0.891044 +/- 0.2081
  i      = 112.492305 +/- 0.7694 deg
  peri   = 146.645827 +/- 7.3008 deg
  node   = 143.180161 +/- 0.0001 deg
  Pi     = 289.825988 +/- 7.3008 deg
  q      =   0.934073 +/- 0.0270 AU
  f      =  33.350731 +/- 7.3007 deg
  M      =   0.921333 +/- nan deg
  Q      =  16.211727 +/- 74.1029 AU
  n      =   0.039266 +/- 0.0792 deg/day
  T      =  25.101072 +/- 399999912.7675 years
  Last perihelion JD = 2459419.150851 (2021-07-23 15:37:13.515345) +/- 3.8264 days
  Tj     =   0.161311 +/- 1.1864
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.436937e-03, +1.436575e-03, +2.820958e-01, +2.028539e-08, +6.602541e-03, -3.075060e-04
q   , +1.436575e-03, +3.485734e-04, +6.363646e-02, +1.068273e-08, +1.537715e-03, -1.620180e-04
Tp  , +2.820958e-01, +6.363646e-02, +1.188050e+01, +1.647021e-06, +2.842622e-01, -2.498105e-02
node, +2.028539e-08, +1.068273e-08, +1.647021e-06, +7.316994e-13, +4.311897e-08, -1.110724e-08
peri, +6.602541e-03, +1.537715e-03, +2.842622e-01, +4.311897e-08, +6.831146e-03, -6.539995e-04
i   , -3.075060e-04, -1.620180e-04, -2.498105e-02, -1.110724e-08, -6.539995e-04, +1.686124e-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: UK0020
  Avg. res. = 1.497e-05 s
  Stddev    = 3.87e-03 s

Begin point on the trajectory:
  Lon =    -3.859930 +/- 0.0011 deg
  Lat =    50.957645 +/- 0.0008 deg
  Ht  = 110797.78 +/- 365.35 m
End point on the trajectory:
  Lon =    -3.940204 +/- 0.0012 deg
  Lat =    50.921158 +/- 0.0006 deg
  Ht  = 98778.26 +/- 281.78 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
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   110797.78,    98778.26,          0.004402,      6.34,      5.83,              35.82, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210816_024420_912_0591104.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   109624.01,    99438.85,          0.016221,     48.45,     21.47,              81.79, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20210816_024414_638_0596992.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,     UK0020,       1,  0.000000, 2459442.614153048955, 336.32494,  63.62907,              323.04683,  71.11939,       323.09787,       71.09016,    336.32494,     +63.62907,     336.28765,      +63.65829,  4094074.37,   141014.46,  5019364.46,      50.965848,       -3.841909,  113509.43,  119845.24,       0.00,               10.00,  -223.83,      0.00,           59405.32,     47.49,    -51.75,         120.89,  +4.94,  +4.55
  1,     UK0020,       0,  0.040404, 2459442.614153516479, 334.56447,  63.21053,              320.76085,  70.63468,       320.75891,       70.63572,    334.56447,     +63.21053,     334.56604,      +63.20948,  4093132.05,   139705.17,  5016673.43,      50.957645,       -3.859930,  110797.78,  117300.94,    3137.50,             3147.50,   515.35,  77653.15,           59405.32,     -1.69,      1.84,           4.40,  +3.05,  +2.70
  2,     UK0020,       0,  0.080624, 2459442.614153982140, 333.59515,  62.94784,              319.47450,  70.35690,       319.46527,       70.36169,    333.59515,     +62.94784,     333.60212,      +62.94299,  4092611.66,   138982.12,  5015187.33,      50.953111,       -3.869961,  109300.44,  115909.59,    4870.15,             4880.15,  -139.40,  43079.34,           59405.32,     -7.82,      8.50,          20.55,  +1.43,  +1.11
  3,     UK0020,       0,  0.120944, 2459442.614154448733, 332.19440,  62.52690,              317.58111,  69.93798,       317.58906,       69.93405,    332.19440,     +62.52690,     332.18923,      +62.53090,  4091850.98,   137925.21,  5013015.01,      50.946479,       -3.884550,  107111.89,  113891.61,    7402.87,             7412.87,    -0.01,  62815.54,           59405.32,      6.44,     -7.01,          17.24,  +1.22,  +0.94
  4,     UK0020,       0,  0.161280, 2459442.614154915791, 330.81435,  62.09861,              315.77231,  69.48926,       315.78098,       69.48515,    330.81435,     +62.09861,     330.80885,      +62.10283,  4091112.81,   136899.57,  5010906.99,      50.940036,       -3.898719,  104988.35,  111953.64,    9860.63,             9870.63,    63.47,  60932.09,           59508.11,      6.77,     -7.36,          18.42,  +0.99,  +0.74
  5,     UK0020,       0,  0.201608, 2459442.614155382384, 329.49902,  61.66523,              314.07095,  69.03195,       314.08098,       69.02735,    329.49902,     +61.66523,     329.49271,      +61.66998,  4090412.91,   135927.11,  5008908.25,      50.933922,       -3.912166,  102975.09,  110135.65,   12190.97,            12200.98,     0.01,  57784.80,           59291.16,      7.59,     -8.26,          21.01,  +1.00,  +0.79
  6,     UK0020,       0,  0.241972, 2459442.614155849442, 328.11982,  61.19293,              312.33792,  68.51763,       312.33610,       68.51844,    328.11982,     +61.19293,     328.12213,      +61.19209,  4089686.76,   134918.16,  5006834.54,      50.927574,       -3.926116,  100886.52,  108270.31,   14608.73,            14618.73,    21.82,  59898.88,           59278.90,     -1.34,      1.46,           3.77,  +0.72,  +0.55
  7,     UK0020,       0,  0.282344, 2459442.614156316966, 326.73851,  60.67517,              310.58928,  67.97139,       310.59660,       67.96826,    326.73851,     +60.67517,     326.73447,      +60.67845,  4088953.68,   133899.60,  5004741.05,      50.921158,       -3.940204,   98778.26,  106409.92,   17049.55,            17059.55,    66.21,  60458.10,           59372.20,      5.23,     -5.69,          14.99,  +0.95,  +0.82
  8,     UK0020,       1,  0.322652, 2459442.614156783558, 325.63059,  60.24117,              309.21722,  67.50597,       309.22657,       67.50207,    325.63059,     +60.24117,     325.62525,      +60.24528,  4088369.81,   133088.36,  5003073.68,      50.916045,       -3.951461,   97099.25,  104946.07,   18993.55,            19003.55,  -382.41,  48228.67,           58673.13,      6.56,     -7.13,          19.05,  +4.38,  +4.28
  0,     UK003E,       0,  0.071031, 2459442.614153897855, 308.31298,  17.78113,              253.81123,  35.00408,       253.77917,       35.00830,    308.31298,     +17.78113,     308.33749,      +17.76787,  4092724.12,   139138.37,  5015508.48,      50.954091,       -3.867799,  109624.01,  187696.21,       0.00,             4505.72,    55.59,      0.00,           59466.43,    -35.29,     79.64,          95.73,  +2.46,  +1.09
  1,     UK003E,       0,  0.111615, 2459442.614154367242, 308.00610,  17.20262,              253.64581,  34.37018,       253.65647,       34.36877,    308.00610,     +17.20262,     307.99848,      +17.20705,  4092084.61,   138249.82,  5013682.19,      50.948516,       -3.880091,  107784.03,  187446.07,    2129.28,             6635.00,  -224.13,  52465.93,           59466.43,     11.80,    -26.66,          32.08,  +2.98,  +1.62
  2,     UK003E,       0,  0.152351, 2459442.614154838957, 307.56760,  16.50569,              253.51442,  33.56398,       253.50454,       33.56528,    307.56760,     +16.50569,     307.57580,      +16.50156,  4091283.08,   137136.15,  5011393.23,      50.941523,       -3.895461,  105478.15,  187164.12,    4797.99,             9303.71,    26.56,  65512.44,           59466.43,    -11.02,     24.90,          30.01,  +2.48,  +1.12
  3,     UK003E,       0,  0.193015, 2459442.614155309740, 307.18840,  15.87815,              253.38718,  32.84629,       253.37157,       32.84834,    307.18840,     +15.87815,     307.20122,      +15.87160,  4090570.18,   136145.62,  5009357.37,      50.935297,       -3.909155,  103427.45,  186946.13,    7171.63,            11677.35,   -13.56,  58371.90,           59466.43,    -17.54,     39.61,          47.80,  +1.74,  +0.38
  4,     UK003E,       0,  0.233827, 2459442.614155781921, 306.74275,  15.09730,              253.21187,  31.96751,       253.21077,       31.96765,    306.74275,     +15.09730,     306.74459,      +15.09684,  4089696.29,   134931.41,  5006861.75,      50.927657,       -3.925911,  100913.95,  186717.76,   10081.28,            14587.00,   473.55,  71294.00,           61932.42,     -1.25,      2.81,           3.40,  +1.17,  -0.19
  5,     UK003E,       0,  0.274311, 2459442.614156250376, 306.45466,  14.65201,              253.14529,  31.44540,       253.11823,       31.44896,    306.45466,     +14.65201,     306.47685,      +14.64056,  4089183.39,   134218.77,  5005397.05,      50.923169,       -3.935818,   99438.85,  186608.70,   11788.99,            16294.71,  -221.80,  42182.43,           59829.28,    -30.82,     69.54,          84.07,  +1.77,  +0.42

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.