Orbital Analysis for matched events on 20210810_010033.315_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.94° Bg 41.17° Vg 58.65km/s
mass 0.19119g, abs. mag -2.8
Path Details
------------
start 2.50° 54.54° 108.44km
end   2.36° 54.48° 91.65km

Orbit Details
-------------
Semimajor axis -24.62A.U., eccentricity 1.04, inclination 109.05°, Period 1000000000.00Y, LA Sun 137.35°, 

Full details below
Click here to download a zip of the raw and processed data.

Detailed report below graphs

Click on an image to see a larger view


Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459436.542052267585
Time: 2021-08-10 01:00:33.315919 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 31.79582 deg
 R.A. =  45.56386  Dec = +59.73222 deg

Best intersection: Stations UK002F and UK002K with Qconv = 31.80 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3455116.20 +/- 192.27 m
 Y =  -1511312.33 +/- 608.37 m
 Z =   5260415.88 +/- 528.20 m
 Vx =    21070.68 +/- 1055.18 m/s
 Vy =    20554.66 +/- 1822.30 m/s
 Vz =    51931.04 +/- 2215.61 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.821770e+03, +6.601958e+03, +4.872574e+03, +5.413689e+03, -3.083203e+03, -1.632771e+04
+6.601958e+03, +5.322800e+04, +4.289070e+04, -4.488422e+04, +1.118223e+05, -1.658260e+04
+4.872574e+03, +4.289070e+04, +3.679966e+04, -4.520344e+04, +9.943624e+04, -9.245008e+03
+5.413689e+03, -4.488422e+04, -4.520344e+04, +1.237685e+05, -1.759113e+05, -2.069221e+03
-3.083203e+03, +1.118223e+05, +9.943624e+04, -1.759113e+05, +3.525662e+05, +5.940830e+04
-1.632771e+04, -1.658260e+04, -9.245008e+03, -2.069221e+03, +5.940830e+04, +1.644419e+05

Timing offsets (from input data):
    UK002F: 0.001615 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:00:33.315919 UTC
  Lon     = ++2.501350 +/- 0.0096 deg
  Lat     = +54.542252 +/- 0.0032 deg
  Lat geo = +54.363259 +/- 0.0033 deg
  Ht      =  108517.14 +/- 389.54 m

  JD dynamic   = 2459436.542853008490 
  LST apparent = 336.3748119888 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  44.28976 +/- 1.7618 deg
  Dec       = +60.45434 +/- 0.7301 deg
  Azimuth   =  52.26166 +/- 0.6149 deg
  Elevation = +54.70378 +/- 1.0961 deg
  Vavg      =  58.00504 +/- 1.7808 km/s
  Vinit     =  59.69338 +/- 2.0988 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.48928 +/- 1.7618 deg
  Dec       = +60.24186 +/- 0.7301 deg
  Azimuth   =  52.53950 +/- 0.6149 deg
  Elevation = +54.53345 +/- 1.0961 deg
  Vavg      =  58.13120 +/- 1.7808 km/s
  Vinit     =  59.81954 +/- 2.0988 km/s
Radiant (geocentric, J2000):
  R.A.   =  44.47032 +/- 1.7287 deg
  Dec    = +60.25074 +/- 0.7332 deg
  Vg     =  58.65268 +/- 2.1336 km/s
  Vinf   =  59.69338 +/- 2.0988 km/s
  Zc     =  35.40602 +/- 1.0949 deg
  Zg     =  35.72767 +/- 1.0866 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.93919 +/- 0.7813 deg
  Bg     = +41.17107 +/- 0.9846 deg
  Vh     =  42.26392 +/- 1.6281 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.44424 +/- 1.3499 deg
  Bh     = +66.00907 +/- 2.3507 deg
  Vh_x   =  -1.06576 +/- 0.6332 km/s
  Vh_y   = -17.15109 +/- 2.2413 km/s
  Vh_z   = -38.61273 +/- 0.7773 km/s
Orbit:
  La Sun = 137.349483 +/- 0.0000 deg
  a      = -24.622468 +/- 81.6908 AU
  e      =   1.038516 +/- 0.1500
  i      = 109.054696 +/- 2.2646 deg
  peri   = 150.853531 +/- 1.5222 deg
  node   = 137.349313 +/- 0.0002 deg
  Pi     = 288.202845 +/- 1.5222 deg
  q      =   0.948362 +/- 0.0069 AU
  f      =  29.142658 +/- 1.5222 deg
  M      =        nan +/- nan deg
  Q      = -50.193298 +/- 163.3842 AU
  n      =   0.008067 +/- 0.0884 deg/day
  T      = 1000000000.000000 +/- 471404480.7678 years
  Last perihelion JD = NaN 
  Tj     =  -0.609322 +/- 0.8900
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.322822e-03, +2.739369e-06, +1.741643e-02, -6.813340e-09, +2.404300e-04, +9.601930e-05
q   , +2.739369e-06, +5.632980e-05, +8.180217e-03, +2.814769e-09, +2.285147e-04, -3.999683e-05
Tp  , +1.741643e-02, +8.180217e-03, +1.406942e+00, +3.208344e-07, +3.613646e-02, -4.569201e-03
node, -6.813340e-09, +2.814769e-09, +3.208344e-07, +2.633348e-13, +1.025142e-08, -3.737858e-09
peri, +2.404300e-04, +2.285147e-04, +3.613646e-02, +1.025142e-08, +9.668054e-04, -1.458075e-04
i   , +9.601930e-05, -3.999683e-05, -4.569201e-03, -3.737858e-09, -1.458075e-04, +5.305678e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 6.919520
 a2 = 12.307291

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 6.224e-06 s
  Stddev    = 2.49e-03 s

Begin point on the trajectory:
  Lon =     2.500696 +/- 0.0094 deg
  Lat =    54.541958 +/- 0.0032 deg
  Ht  = 108440.27 +/- 364.18 m
End point on the trajectory:
  Lon =     2.356113 +/- 0.0039 deg
  Lat =    54.477391 +/- 0.0012 deg
  Ht  = 91647.26 +/- 134.67 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,  18.385628,   9.001186,   104310.79,    92688.18,          0.023614,    147.53,     71.91,              38.59, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210810_010025_483_0398336.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   4.285269,  13.794413,   108440.27,    91647.26,          0.022874,     51.29,     79.96,              28.14, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_010033_540_0416000.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,     UK002F,       0,  0.094500, 2459436.542053222656,  99.01779,  40.24954,               39.09452,  13.20469,        39.08854,       13.20565,     99.01779,     +40.24954,      99.02372,      +40.25333,  3453296.75, -1513087.22,  5255931.65,      54.526135,       +2.465213,  104310.79,  403990.83,       0.00,             5154.50,  -195.73,      0.00,           57716.35,     18.28,    -37.39,          21.25,  +2.25,  -0.78
  1,     UK002F,       0,  0.134696, 2459436.542053687852,  99.28382,  40.07909,               39.00390,  12.95451,        39.04387,       12.94808,     99.28382,     +40.07909,      99.24440,      +40.05377,  3452264.47, -1514094.22,  5253387.48,      54.516976,       +2.444729,  101924.86,  401708.47,    2924.46,             8078.96,   329.29,  72754.96,           57716.35,   -121.24,    248.82,         142.12,  +1.90,  -1.12
  2,     UK002F,       0,  0.174848, 2459436.542054152582,  99.42784,  39.92809,               38.98490,  12.76842,        39.01166,       12.76412,     99.42784,     +39.92809,      99.40168,      +39.91117,  3451533.97, -1514806.84,  5251587.07,      54.510489,       +2.430182,  100236.66,  400096.36,    4993.99,            10148.49,     2.01,  51542.44,           57716.35,    -80.94,    165.99,          95.21,  +1.18,  -1.83
  3,     UK002F,       0,  0.215004, 2459436.542054617312,  99.55144,  39.76543,               38.98533,  12.58011,        38.97963,       12.58102,     99.55144,     +39.76543,      99.55759,      +39.76903,  3450812.64, -1515510.50,  5249809.28,      54.504078,       +2.415812,   98569.88,  398508.61,    7037.50,            12192.01,  -351.52,  50889.37,           57716.35,     17.22,    -35.23,          20.30,  +1.38,  -1.62
  4,     UK002F,       0,  0.255184, 2459436.542055082507,  99.75690,  39.59940,               38.93124,  12.35700,        38.94052,       12.35551,     99.75690,     +39.59940,      99.74837,      +39.59355,  3449932.37, -1516369.21,  5247639.75,      54.496248,       +2.398308,   96536.11,  396578.29,    9531.32,            14685.83,  -256.18,  62066.20,           57698.15,    -27.90,     57.15,          33.07,  +1.09,  -1.90
  5,     UK002F,       0,  0.295356, 2459436.542055547237,  99.95478,  39.43859,               38.87889,  12.14126,        38.90271,       12.13743,     99.95478,     +39.43859,      99.93202,      +39.42360,  3449089.13, -1517191.80,  5245561.51,      54.488740,       +2.381530,   94588.19,  394734.87,   11920.22,            17074.72,  -265.29,  59466.62,           57945.62,    -71.28,    146.18,          84.98,  +1.38,  -1.60
  6,     UK002F,       0,  0.335524, 2459436.542056012433, 100.14156,  39.27541,               38.83464,  11.92768,        38.86552,       11.92272,    100.14156,     +39.27541,     100.11198,      +39.25600,  3448266.52, -1517994.27,  5243534.08,      54.481410,       +2.365155,   92688.18,  392942.08,   14250.69,            19405.19,  -332.59,  58018.03,           58041.75,    -91.97,    188.73,         110.20,  +0.77,  -2.20
  7,     UK002F,       1,  0.375684, 2459436.542056477163, 100.33431,  39.13091,               38.77611,  11.72791,        38.83024,       11.71919,    100.33431,     +39.13091,     100.28187,      +39.09693,  3447493.58, -1518748.28,  5241629.09,      54.474516,       +2.349755,   90903.13,  391262.34,   16440.43,            21594.93,  -540.13,  54525.51,           57788.85,   -160.46,    329.81,         193.35,  +5.29,  +2.33
  0,     UK002K,       0,  0.000000, 2459436.542052267585,  73.13731,  38.63876,               58.25957,  25.11237,        58.22619,       25.10694,     73.13731,     +38.63876,      73.17098,      +38.65418,  3455082.95, -1511344.77,  5260333.94,      54.541958,       +2.500696,  108440.27,  246442.30,       0.00,               94.19,   384.95,      0.00,           59115.05,    111.27,    -71.18,         110.56,  +3.03,  +1.07
  1,     UK002K,       0,  0.040180, 2459436.542052732781,  73.27254,  38.44349,               58.30978,  24.89501,        58.26811,       24.88822,     73.27254,     +38.44349,      73.31482,      +38.46271,  3454372.92, -1512037.41,  5258583.99,      54.535672,       +2.486563,  106798.62,  244664.25,    2011.52,             2105.71,    -2.02,  50062.60,           59115.05,    138.17,    -88.34,         138.26,  +3.41,  +1.47
  2,     UK002K,       0,  0.080396, 2459436.542053198442,  73.51561,  38.21370,               58.31238,  24.59642,        58.32382,       24.59827,     73.51561,     +38.21370,      73.50395,      +38.20842,  3453448.32, -1512939.37,  5256305.20,      54.527479,       +2.468204,  104661.14,  242357.04,    4630.93,             4725.12,   216.77,  65133.71,           59115.05,    -37.60,     24.14,          38.03,  +1.24,  -0.68
  3,     UK002K,       0,  0.120620, 2459436.542053664103,  73.69201,  37.97435,               58.36455,  24.32382,        58.37586,       24.32565,     73.69201,     +37.97435,      73.68066,      +37.96913,  3452594.54, -1513772.24,  5254200.98,      54.519906,       +2.451234,  102687.71,  240231.70,    7049.68,             7143.87,   234.42,  60132.01,           59115.05,    -36.94,     23.71,          37.69,  +1.02,  -0.88
  4,     UK002K,       0,  0.160812, 2459436.542054129299,  73.83491,  37.76666,               58.41563,  24.09211,        58.41993,       24.09281,     73.83491,     +37.76666,      73.83086,      +37.76468,  3451876.66, -1514472.54,  5252431.68,      54.513533,       +2.436936,  101028.59,  238447.67,    9083.45,             9177.64,  -131.02,  50601.22,           57715.23,    -13.97,      8.96,          14.36,  +0.74,  -1.15
  5,     UK002K,       0,  0.201036, 2459436.542054594494,  74.04082,  37.52304,               58.44894,  23.80056,        58.47452,       23.80468,     74.04082,     +37.52304,      74.01529,      +37.51127,  3451003.63, -1515324.19,  5250279.99,      54.505776,       +2.419581,   99011.19,  236285.51,   11556.75,            11650.94,   -58.82,  61488.22,           57854.48,    -82.43,     52.99,          85.54,  +0.47,  -1.40
  6,     UK002K,       0,  0.241252, 2459436.542055060156,  74.16792,  37.28628,               58.52892,  23.55381,        58.52188,       23.55267,     74.16792,     +37.28628,      74.17575,      +37.28952,  3450252.54, -1516056.88,  5248428.85,      54.499097,       +2.404622,   97275.80,  234429.13,   13684.59,            13778.78,  -331.61,  52910.25,           57374.36,     22.57,    -14.47,          23.59,  +0.49,  -1.36
  7,     UK002K,       0,  0.281500, 2459436.542055525817,  74.36235,  37.01729,               58.58509,  23.24768,        58.57937,       23.24676,     74.36235,     +37.01729,      74.36900,      +37.01991,  3449357.09, -1516930.40,  5246221.91,      54.491127,       +2.386817,   95207.16,  232223.84,   16221.41,            16315.60,  -197.33,  63029.76,           57646.09,     18.20,    -11.68,          19.21,  +0.20,  -1.63
  8,     UK002K,       0,  0.321720, 2459436.542055991478,  74.55919,  36.78019,               58.61630,  22.96454,        58.63158,       22.96701,     74.55919,     +36.78019,      74.54465,      +36.77319,  3448552.59, -1517715.21,  5244239.13,      54.483960,       +2.370799,   93348.88,  230247.55,   18500.57,            18594.76,  -319.03,  56667.39,           57707.60,    -48.28,     31.02,          51.41,  +0.26,  -1.55
  9,     UK002K,       0,  0.361924, 2459436.542056456674,  74.75129,  36.56380,               58.63536,  22.69948,        58.67986,       22.70663,     74.75129,     +36.56380,      74.70721,      +36.54340,  3447815.81, -1518433.94,  5242423.26,      54.477391,       +2.356113,   91647.26,  228441.95,   20587.86,            20682.05,  -631.66,  51917.51,           57423.17,   -139.72,     89.96,         150.04,  +0.61,  -1.18

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.