Orbital Analysis for matched events on 20210813_001341.162_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.63° Bg 37.24° Vg 59.64km/s
mass 0.00583g, abs. mag 0.2
Path Details
------------
start -0.88° 53.14° 108.70km
end   -0.95° 53.11° 102.10km

Orbit Details
-------------
Semimajor axis 17.11A.U., eccentricity 0.94, inclination 114.93°, Period 70.76Y, LA Sun 140.20°, last Perihelion 2021-07-22

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: 2459439.509504195768
Time: 2021-08-13 00:13:41.162514 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK003G
 Convergence angle = 22.33584 deg
 R.A. =  50.11206  Dec = +57.65417 deg

Best intersection: Stations UK001L and UK003G with Qconv = 22.34 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3162471.84 +/- 20.08 m
 Y =  -2280643.42 +/- 68.46 m
 Z =   5167133.65 +/- 196.19 m
 Vx =    21365.73 +/- 1441.49 m/s
 Vy =    24811.83 +/- 863.44 m/s
 Vz =    51067.40 +/- 1791.68 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.721850e+02, -6.005952e+02, -9.066718e+02, -8.341734e+02, -3.534085e+03, -6.331204e+03
-6.005952e+02, +3.614147e+03, +6.240370e+03, -3.857417e+03, +3.209175e+03, -1.387624e+02
-9.066718e+02, +6.240370e+03, +1.084298e+04, -7.153580e+03, +4.788133e+03, -8.942802e+02
-8.341734e+02, -3.857417e+03, -7.153580e+03, +9.985145e+03, +8.770561e+03, +2.694629e+04
-3.534085e+03, +3.209175e+03, +4.788133e+03, +8.770561e+03, +3.097828e+04, +7.191339e+04
-6.331204e+03, -1.387624e+02, -8.942802e+02, +2.694629e+04, +7.191339e+04, +2.183742e+05

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK002F: 0.000000 s
    UK003G: -0.000305 s

Reference point on the trajectory:
  Time: 2021-08-13 00:13:41.162514 UTC
  Lon     = +-0.878520 +/- 0.0007 deg
  Lat     = +53.144080 +/- 0.0014 deg
  Lat geo = +52.962309 +/- 0.0014 deg
  Ht      =  108627.65 +/- 128.52 m

  JD dynamic   = 2459439.510304936673 
  LST apparent = 324.2024219575 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.26791 +/- 1.0997 deg
  Dec       = +57.33293 +/- 0.6848 deg
  Azimuth   =  48.98091 +/- 1.2267 deg
  Elevation = +44.54169 +/- 0.1817 deg
  Vavg      =  58.74781 +/- 1.6827 km/s
  Vinit     =  60.66301 +/- 1.6774 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.31033 +/- 1.0997 deg
  Dec       = +57.10826 +/- 0.6848 deg
  Azimuth   =  49.22697 +/- 1.2267 deg
  Elevation = +44.39966 +/- 0.1817 deg
  Vavg      =  58.90118 +/- 1.6827 km/s
  Vinit     =  60.81638 +/- 1.6774 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.48317 +/- 1.0746 deg
  Dec    = +57.03136 +/- 0.6968 deg
  Vg     =  59.63933 +/- 1.7039 km/s
  Vinf   =  60.66301 +/- 1.6774 km/s
  Zc     =  45.57777 +/- 0.1833 deg
  Zg     =  45.98744 +/- 0.1743 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.63406 +/- 0.9524 deg
  Bg     = +37.24328 +/- 0.4952 deg
  Vh     =  41.22173 +/- 1.8713 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.77698 +/- 1.1822 deg
  Bh     = +61.11736 +/- 0.5134 deg
  Vh_x   =  -2.50342 +/- 0.3364 km/s
  Vh_y   = -19.75280 +/- 1.2678 km/s
  Vh_z   = -36.09420 +/- 1.4577 km/s
Orbit:
  La Sun = 140.197626 +/- 0.0000 deg
  a      =  17.107391 +/- 19.3381 AU
  e      =   0.944894 +/- 0.1746
  i      = 114.930325 +/- 0.2595 deg
  peri   = 148.950746 +/- 0.9004 deg
  node   = 140.196697 +/- 0.0000 deg
  Pi     = 289.147442 +/- 0.9004 deg
  q      =   0.942719 +/- 0.0024 AU
  f      =  31.045271 +/- 0.9004 deg
  M      =   0.302370 +/- nan deg
  Q      =  33.272063 +/- 38.6749 AU
  n      =   0.013929 +/- 0.1230 deg/day
  T      =  70.758124 +/- 442216558.5627 years
  Last perihelion JD = 2459417.802780 (2021-07-22 07:16:00.218637) +/- 0.7210 days
  Tj     =  -0.196172 +/- 0.9914
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.802862e-03, +5.437290e-05, +2.950779e-02, -9.293161e-09, +5.005771e-04, +1.216280e-04
q   , +5.437290e-05, +2.841309e-06, +1.073840e-03, -2.830775e-10, +2.007685e-05, +3.704703e-06
Tp  , +2.950779e-02, +1.073840e-03, +5.111521e-01, -1.535360e-07, +8.955908e-03, +2.009418e-03
node, -9.293161e-09, -2.830775e-10, -1.535360e-07, +7.211755e-14, -2.606512e-09, -9.434430e-10
peri, +5.005771e-04, +2.007685e-05, +8.955908e-03, -2.606512e-09, +1.596379e-04, +3.411275e-05
i   , +1.216280e-04, +3.704703e-06, +2.009418e-03, -9.434430e-10, +3.411275e-05, +1.234214e-05

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: UK001L
  Avg. res. = 1.028e-06 s
  Stddev    = 1.01e-03 s

Begin point on the trajectory:
  Lon =    -0.877743 +/- 0.0005 deg
  Lat =    53.144486 +/- 0.0013 deg
  Ht  = 108696.59 +/- 109.75 m
End point on the trajectory:
  Lon =    -0.952734 +/- 0.0007 deg
  Lat =    53.105560 +/- 0.0017 deg
  Ht  = 102103.59 +/- 129.75 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108696.59,   102103.59,          0.005982,     14.00,     12.12,              27.04, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210813_001339_298_0342784.fits"}
    UK002F,    True,    -1.306160,    51.883100,   80.00,  22.966602,   6.569155,   107113.66,   102127.78,          0.127801,       nan,       nan,              27.04, 0.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_001339_961_0335104.fits"}
    UK003G,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   107704.52,   102713.82,          0.010484,     40.14,     13.79,              28.11, 1.0000,    True,    True, {"ff_name": "FF_UK003G_20210813_001336_367_0362496.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,     UK001L,       0,  0.000000, 2459439.509504195768, 111.59873,  72.37472,               11.53694,  36.27227,        11.53644,       36.27310,    111.59873,     +72.37472,     111.59883,      +72.37564,  3162506.46, -2280603.22,  5167216.38,      53.144486,       -0.877743,  108696.59,  180818.05,       0.00,               98.28,   282.67,      0.00,           61657.27,     -1.90,     -2.19,           3.31,  +3.06,  +1.77
  1,     UK001L,       0,  0.040228, 2459439.509504661430, 112.79896,  72.35438,               11.13420,  36.10801,        11.13014,       36.11468,    112.79896,     +72.35438,     112.80044,      +72.36180,  3161676.83, -2281566.66,  5165233.45,      53.134747,       -0.896526,  107044.49,  178751.18,    2355.53,             2257.25,     1.29,  58554.43,           61657.27,    -15.17,    -17.54,          26.76,  +1.69,  +0.43
  2,     UK001L,       0,  0.080448, 2459439.509505127091, 114.04328,  72.35087,               10.70551,  35.95927,        10.71160,       35.94935,    114.04328,     +72.35087,     114.04093,      +72.33982,  3160838.30, -2282540.44,  5163229.22,      53.124896,       -0.915509,  105375.08,  176669.62,    4736.36,             4638.08,   -57.75,  59195.13,           61657.27,     22.37,     25.82,          39.89,  +1.42,  +0.18
  3,     UK001L,       0,  0.120728, 2459439.509505593218, 115.49854,  72.30359,               10.22050,  35.75219,        10.22046,       35.75225,    115.49854,     +72.30359,     115.49907,      +72.30366,  3159873.15, -2283661.26,  5160922.37,      53.113547,       -0.937335,  103454.14,  174283.72,    7476.67,             7378.39,   239.06,  68031.57,           61657.27,     -0.14,     -0.16,           0.26,  +1.55,  +0.34
  4,     UK001L,       0,  0.160924, 2459439.509506058414, 116.54730,  72.27170,                9.86700,  35.60946,         9.86712,       35.60928,    116.54730,     +72.27170,     116.54790,      +72.27149,  3159194.42, -2284449.46,  5159300.10,      53.105560,       -0.952734,  102103.59,  172611.79,    9403.75,             9305.48,  -272.27,  47942.26,           59473.20,      0.41,      0.47,           0.74,  +3.54,  +2.35
  0,     UK002F,       1,  0.035776, 2459439.509504609741, 112.77050,  72.49794,               11.07397,  36.24335,        11.14761,       36.12138,    112.77050,     +72.49794,     112.74888,      +72.36241,  3161711.57, -2281526.32,  5165316.48,      53.135155,       -0.895728,  107113.66,  178837.70,       0.00,             2158.62,   172.75,      0.00,           59721.15,    278.68,    318.92,         488.48,  +2.64,  +1.38
  1,     UK002F,       1,  0.075796, 2459439.509505073074, 113.82724,  72.47319,               10.72274,  36.09722,        10.79296,       35.98183,    113.82724,     +72.47319,     113.79941,      +72.34487,  3161000.74, -2282351.80,  5163617.48,      53.126805,       -0.911845,  105698.45,  177072.13,    2018.24,             4176.86,  -236.75,  50430.77,           59721.15,    261.46,    299.34,         462.97,  +1.04,  -0.20
  2,     UK002F,       1,  0.115824, 2459439.509505536407, 115.19278,  72.43297,               10.26912,  35.90635,        10.33522,       35.79882,    115.19278,     +72.43297,     115.15797,      +72.31332,  3160097.73, -2283400.46,  5161459.14,      53.116189,       -0.932275,  103901.06,  174837.75,    4582.13,             6740.75,  -101.07,  64052.55,           59721.15,    241.07,    276.16,         432.47,  +1.41,  +0.20
  3,     UK002F,       1,  0.155836, 2459439.509505999275, 116.57351,  72.39745,                9.80404,  35.72462,         9.87400,       35.61183,    116.57351,     +72.39745,     116.52774,      +72.27194,  3159206.58, -2284435.34,  5159329.17,      53.105703,       -0.952440,  102127.78,  172641.87,    7112.33,             9270.95,     1.88,  63236.02,           59721.15,    250.33,    286.63,         454.67,  +1.98,  +0.79
  0,     UK003G,       0,  0.021571, 2459439.509504449088, 109.57978,  61.68736,               17.05082,  26.17640,        17.05409,       26.17314,    109.57978,     +61.68736,     109.57682,      +61.68322,  3162008.30, -2281181.73,  5166025.71,      53.138639,       -0.889012,  107704.52,  236039.74,       0.00,             1316.12,   191.97,      0.00,           59731.84,      5.88,     17.08,          15.78,  +2.73,  +0.87
  1,     UK003G,       0,  0.061723, 2459439.509504913818, 110.09747,  61.60383,               16.83360,  26.00504,        16.83781,       26.00084,    110.09747,     +61.60383,     110.09372,      +61.59850,  3161260.75, -2282049.85,  5164238.95,      53.129860,       -0.905953,  106216.07,  234196.93,    2122.50,             3438.62,  -121.27,  52861.59,           59731.84,      7.53,     21.87,          20.37,  +2.66,  +0.81
  2,     UK003G,       0,  0.101935, 2459439.509505379014, 110.73058,  61.47128,               16.57843,  25.76859,        16.56517,       25.78174,    110.73058,     +61.47128,     110.74393,      +61.48794,  3160329.26, -2283131.58,  5162012.54,      53.118912,       -0.927023,  104361.86,  231908.28,    4767.25,             6083.37,    84.10,  65770.29,           59731.84,    -23.35,    -68.01,          63.95,  +1.48,  -0.35
  3,     UK003G,       0,  0.142103, 2459439.509505844209, 111.32247,  61.37732,               16.32513,  25.57660,        16.31876,       25.58291,    111.32247,     +61.37732,     111.32939,      +61.38530,  3159501.11, -2284093.30,  5160033.15,      53.109170,       -0.945774,  102713.82,  229879.75,    7118.57,             8434.70,    -1.29,  58537.16,           59731.84,    -11.13,    -32.39,          30.73,  +2.46,  +0.65

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.