Orbital Analysis for matched events on 20210816_032530.908_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 66.46° Bg 36.64° Vg 58.66km/s
mass 0.00740g, abs. mag 0.4
Path Details
------------
start -1.49° 49.67° 105.91km
end   -1.53° 49.65° 97.17km

Orbit Details
-------------
Semimajor axis 6.01A.U., eccentricity 0.84, inclination 115.11°, Period 14.72Y, LA Sun 143.21°, last Perihelion 2021-07-23

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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: 2459442.642718848307
Time: 2021-08-16 03:25:30.908494 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 2.14848 deg
 R.A. =  50.32310  Dec = +53.34684 deg
Intersection 2 - Stations: UK000H and UK003C
 Convergence angle = 66.86265 deg
 R.A. =  55.72812  Dec = +57.54356 deg
Intersection 3 - Stations: UK002D and UK003C
 Convergence angle = 64.72314 deg
 R.A. =  55.53617  Dec = +57.73246 deg

Best intersection: Stations UK000H and UK003C with Qconv = 66.86 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4068372.59 +/- 113.61 m
 Y =   1062551.78 +/- 75.23 m
 Z =   4919589.08 +/- 46.67 m
 Vx =    19089.99 +/- 1028.52 m/s
 Vy =    26084.91 +/- 936.45 m/s
 Vz =    50197.45 +/- 1097.93 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.236433e+04, +5.405156e+03, +6.215616e+01, +9.775935e+04, +4.678213e+04, -4.250355e+03
+5.405156e+03, +5.393492e+03, +3.562245e+02, +4.800403e+04, +5.775802e+04, +3.192839e+02
+6.215616e+01, +3.562245e+02, +2.142716e+03, +2.434790e+03, +2.267515e+03, +6.191780e+03
+9.775935e+04, +4.800403e+04, +2.434790e+03, +9.026459e+05, +5.130304e+05, -3.372436e+04
+4.678213e+04, +5.775802e+04, +2.267515e+03, +5.130304e+05, +7.783348e+05, +2.138649e+04
-4.250355e+03, +3.192839e+02, +6.191780e+03, -3.372436e+04, +2.138649e+04, +5.400573e+04

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK0022: 0.000000 s
    UK002D: 0.000142 s
    UK003C: 0.000282 s

Reference point on the trajectory:
  Time: 2021-08-16 03:25:30.908494 UTC
  Lon     = +-1.489257 +/- 0.0008 deg
  Lat     = +49.665912 +/- 0.0009 deg
  Lat geo = +49.479042 +/- 0.0009 deg
  Ht      =  105907.96 +/- 90.72 m

  JD dynamic   = 2459442.643519589212 
  LST apparent = 14.6371862099 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.80183 +/- 1.0682 deg
  Dec       = +57.22090 +/- 0.9610 deg
  Azimuth   =  56.74730 +/- 2.2608 deg
  Elevation = +65.86606 +/- 0.5849 deg
  Vavg      =  58.26645 +/- 0.4021 km/s
  Vinit     =  59.70456 +/- 0.6724 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.22071 +/- 1.0682 deg
  Dec       = +57.06423 +/- 0.9610 deg
  Azimuth   =  57.13780 +/- 2.2608 deg
  Elevation = +65.64139 +/- 0.5849 deg
  Vavg      =  58.37199 +/- 0.4021 km/s
  Vinit     =  59.81009 +/- 0.6724 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.77318 +/- 1.0820 deg
  Dec    = +57.15580 +/- 0.9686 deg
  Vg     =  58.66392 +/- 0.6848 km/s
  Vinf   =  59.70456 +/- 0.6724 km/s
  Zc     =  24.23689 +/- 0.5875 deg
  Zg     =  24.45320 +/- 0.5949 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  66.45527 +/- 0.8958 deg
  Bg     = +36.64178 +/- 0.8738 deg
  Vh     =  40.05469 +/- 0.2521 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  85.70567 +/- 2.9261 deg
  Bh     = +60.93713 +/- 1.2740 deg
  Vh_x   =  -1.45697 +/- 0.9613 km/s
  Vh_y   = -19.40270 +/- 0.8463 km/s
  Vh_z   = -35.01129 +/- 0.3678 km/s
Orbit:
  La Sun = 143.207364 +/- nan deg
  a      =   6.005093 +/- 0.5937 AU
  e      =   0.843921 +/- 0.0207
  i      = 115.113470 +/- 1.7484 deg
  peri   = 146.860790 +/- 1.9397 deg
  node   = 143.207758 +/- 0.0001 deg
  Pi     = 290.068548 +/- 1.9396 deg
  q      =   0.937271 +/- 0.0089 AU
  f      =  33.135889 +/- 1.9397 deg
  M      =   1.585661 +/- 0.4438 deg
  Q      =  11.072916 +/- 1.1874 AU
  n      =   0.066977 +/- 0.0149 deg/day
  T      =  14.715678 +/- 2.0374 years
  Last perihelion JD = 2459418.968740 (2021-07-23 11:14:59.172485) +/- 1.2172 days
  Tj     =   0.377492 +/- 0.1378
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.109675e-04, -2.404521e-05, +2.880912e-03, -1.193988e-08, -1.042372e-05, +1.951836e-04
q   , -2.404521e-05, +8.239687e-05, +1.057730e-02, -7.637851e-09, +3.069640e-04, +1.226052e-04
Tp  , +2.880912e-03, +1.057730e-02, +1.446917e+00, -1.179730e-06, +4.059130e-02, +1.899628e-02
node, -1.193988e-08, -7.637851e-09, -1.179730e-06, +3.464621e-12, -3.102932e-08, -5.514470e-08
peri, -1.042372e-05, +3.069640e-04, +4.059130e-02, -3.102932e-08, +1.159388e-03, +4.988981e-04
i   , +1.951836e-04, +1.226052e-04, +1.899628e-02, -5.514470e-08, +4.988981e-04, +8.781209e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.743500
 a2 = 37.640628

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 2.607e-06 s
  Stddev    = 1.61e-03 s

Begin point on the trajectory:
  Lon =    -1.489253 +/- 0.0007 deg
  Lat =    49.665914 +/- 0.0009 deg
  Ht  = 105908.75 +/- 75.30 m
End point on the trajectory:
  Lon =    -1.534589 +/- 0.0008 deg
  Lat =    49.646901 +/- 0.0006 deg
  Ht  = 97174.53 +/- 28.96 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   5.237999,  26.758140,   105908.75,    97406.70,          0.025286,     50.86,     55.25,              65.22, 0.8243,    True,    True, {"ff_name": "FF_UK000H_20210816_032527_344_0661248.fits"}
    UK0022,    True,    -0.848117,    51.261084,   92.00,   0.000000,   0.000000,    99898.51,    93761.17,          0.235320,       nan,       nan,              79.35, 0.0000,    True,    True, {"ff_name": "FF_UK0022_20210816_032529_313_0593664.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   105758.04,    97174.53,          0.020583,     50.55,     58.84,              73.94, 0.9235,    True,    True, {"ff_name": "FF_UK002D_20210816_032527_195_0658176.fits"}
    UK003C,   False,    -4.949858,    50.224871,   55.00,  55.452447,   2.631803,   104768.80,    98218.49,          0.018605,     37.96,     81.98,              52.44, 0.6284,    True,    True, {"ff_name": "FF_UK003C_20210816_032523_875_0646912.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,     UK000H,       0,  0.000000, 2459442.642718848307,  21.48078,  -1.35288,              171.00603,  37.43643,       171.05230,       37.45311,     21.48078,      -1.35288,      21.44257,       -1.33989,  4068372.87,  1062552.16,  4919589.81,      49.665914,       -1.489253,  105908.75,  171761.81,       0.00,                0.87,    -0.46,      0.00,           57810.27,    -88.99,    -81.89,         145.23,  +3.12,  +1.95
  1,     UK000H,       0,  0.040680, 2459442.642719319090,  21.19405,  -2.06966,              171.45021,  36.75058,       171.45476,       36.75221,     21.19405,      -2.06966,      21.19044,       -2.06837,  4067557.85,  1061438.49,  4917446.68,      49.660857,       -1.501302,  103582.58,  170660.47,    2549.02,             2548.15,   118.04,  62660.21,           57810.27,     -8.74,     -8.05,          14.36,  +1.93,  +0.77
  2,     UK000H,       0,  0.081304, 2459442.642719789408,  20.97596,  -2.74690,              171.79733,  36.09627,       171.82003,       36.10443,     20.97596,      -2.74690,      20.95727,       -2.74042,  4066815.01,  1060423.47,  4915493.40,      49.656244,       -1.512304,  101462.59,  169683.80,    4872.25,             4871.38,    15.83,  57188.59,           57810.27,    -43.73,    -40.29,          72.28,  +1.35,  +0.20
  3,     UK000H,       0,  0.121896, 2459442.642720259260,  20.74711,  -3.38303,              172.14718,  35.48280,       172.16180,       35.48804,     20.74711,      -3.38303,      20.73528,       -3.37883,  4066117.06,  1059469.77,  4913658.11,      49.651907,       -1.522656,   99470.78,  168790.13,    7055.13,             7054.26,  -224.82,  53776.11,           57810.27,    -28.19,    -25.98,          46.84,  +1.29,  +0.15
  4,     UK000H,       0,  0.162516, 2459442.642720729113,  20.53164,  -4.05757,              172.47903,  34.82887,       172.51401,       34.84140,     20.53164,      -4.05757,      20.50259,       -4.04745,  4065393.73,  1058481.41,  4911756.11,      49.647407,       -1.533383,   97406.70,  167889.06,    9317.35,             9316.48,  -387.79,  55692.30,           56962.88,    -67.52,    -62.19,         112.77,  +2.10,  +0.97
  0,     UK0022,       1,  0.038785, 2459442.642719297204,   1.37248, -10.19615,              195.44731,  27.37188,       195.19524,       27.30703,      1.37248,     -10.19615,       1.58588,      -10.29770,  4066266.92,  1059674.55,  4914052.18,      49.652838,       -1.520122,   99898.51,  211609.22,       0.00,             6585.56,  4268.56,      0.00,           54990.64,    449.17,    734.51,         839.22,  +3.54,  +1.91
  1,     UK0022,       1,  0.079397, 2459442.642719767056,   1.03819, -10.84134,              195.68714,  26.68004,       195.42396,       26.61238,      1.03819,     -10.84134,       1.26278,      -10.94820,  4065401.92,  1058492.59,  4911777.63,      49.647458,       -1.532916,   97430.14,  211152.50,    2705.33,             9290.89,  4549.18,  66614.15,           54990.64,    470.42,    769.68,         881.18,  +1.59,  -0.03
  2,     UK0022,       1,  0.119869, 2459442.642720235512,   0.78998, -11.34763,              195.85700,  26.13919,       195.60027,       26.07322,      0.78998,     -11.34763,       1.01047,      -11.45250,  4064733.45,  1057579.19,  4910019.90,      49.643297,       -1.542846,   95522.74,  210823.35,    4795.97,            11381.53,  4223.45,  51656.36,           54990.64,    460.17,    752.83,         863.26,  +1.32,  -0.30
  3,     UK0022,       1,  0.160305, 2459442.642720703501,   0.57016, -11.82172,              196.00026,  25.63469,       195.76241,       25.57359,      0.57016,     -11.82172,       0.77571,      -11.91941,  4064116.07,  1056735.59,  4908396.48,      49.639450,       -1.552033,   93761.17,  210537.62,    6726.85,            13312.41,  3740.12,  47751.55,           54990.64,    427.60,    699.15,         802.91,  +2.12,  +0.50
  0,     UK002D,       0,  0.004916, 2459442.642718905117,  20.46114, -10.25852,              173.14742,  28.16044,       173.15221,       28.16218,     20.46114,     -10.25852,      20.45675,      -10.25709,  4068320.07,  1062480.01,  4919450.96,      49.665586,       -1.490043,  105758.04,  217777.06,       0.00,              164.28,  -130.56,      0.00,           60604.92,    -13.19,    -11.31,          16.46,  +1.97,  +0.28
  1,     UK002D,       0,  0.045436, 2459442.642719374038,  20.23517, -10.86735,              173.44907,  27.56974,       173.43492,       27.56458,     20.23517,     -10.86735,      20.24848,      -10.87159,  4067500.29,  1061359.85,  4917295.34,      49.660500,       -1.502161,  103418.32,  217032.48,    2563.88,             2728.16,    14.10,  63274.52,           60604.92,     39.00,     33.48,          48.85,  +1.85,  +0.17
  2,     UK002D,       0,  0.085916, 2459442.642719842494,  20.02693, -11.42950,              173.72338,  27.02354,       173.69338,       27.01261,     20.02693,     -11.42950,      20.05527,      -11.43854,  4066748.65,  1060332.79,  4915318.89,      49.655832,       -1.513291,  101273.20,  216374.22,    4914.66,             5078.94,   -51.97,  58072.55,           60604.92,     82.72,     71.07,         103.96,  +1.31,  -0.37
  3,     UK002D,       0,  0.126432, 2459442.642720311414,  19.82916, -12.03486,              173.98596,  26.43282,       173.96519,       26.42526,     19.82916,     -12.03486,      19.84918,      -12.04116,  4065954.43,  1059247.55,  4913230.47,      49.650895,       -1.525048,   99006.70,  215704.47,    7398.62,             7562.89,    13.00,  61308.01,           60604.92,     57.33,     49.24,          72.27,  +1.41,  -0.26
  4,     UK002D,       0,  0.166848, 2459442.642720779404,  19.65438, -12.52274,              174.21161,  25.95722,       174.18480,       25.94747,     19.65438,     -12.52274,      19.68037,      -12.53091,  4065312.37,  1058370.24,  4911542.18,      49.646901,       -1.534589,   97174.53,  215182.34,    9406.66,             9570.94,  -391.98,  49684.38,           58411.44,     74.08,     63.66,          93.63,  +2.82,  +1.16
  0,     UK003C,       0,  0.020216, 2459442.642719081603,  78.13719,   8.19905,              102.77231,  20.94260,       102.80897,       20.95695,     78.13719,      +8.19905,      78.10128,       +8.18861,  4067973.47,  1062006.41,  4918539.57,      49.663437,       -1.495158,  104768.80,  278219.30,       0.00,             1248.28,    39.97,      0.00,           59335.48,   -163.58,     75.74,         133.65,  +2.05,  -0.17
  1,     UK003C,       0,  0.060480, 2459442.642719547264,  78.20454,   7.83891,              102.95954,  20.62087,       102.96064,       20.62131,     78.20454,      +7.83891,      78.20371,       +7.83859,  4067263.05,  1061035.68,  4916671.52,      49.659027,       -1.505683,  102741.25,  276862.74,    2221.85,             3470.13,  -142.12,  55181.98,           59335.48,     -4.93,      2.28,           4.04,  +1.75,  -0.46
  2,     UK003C,       0,  0.100784, 2459442.642720013857,  78.31566,   7.46098,              103.12180,  20.25777,       103.12369,       20.25851,     78.31566,      +7.46098,      78.31422,       +7.46044,  4066503.34,  1059997.60,  4914673.85,      49.654308,       -1.516931,  100573.14,  275425.30,    4597.86,             5846.14,  -172.44,  58952.29,           59335.48,     -8.37,      3.87,           6.91,  +1.50,  -0.70
  3,     UK003C,       0,  0.141112, 2459442.642720480449,  78.43600,   7.04553,              103.30058,  19.85947,       103.30176,       19.85993,     78.43600,      +7.04553,      78.43542,       +7.04520,  4065678.22,  1058870.13,  4912504.16,      49.649177,       -1.529140,   98218.49,  273879.91,    7178.48,             8426.76,     0.41,  63990.70,           59335.48,     -5.21,      2.41,           4.32,  +2.11,  -0.08

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.