Orbital Analysis for matched events on 20210813_232851.776_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.26° Bg 37.87° Vg 60.03km/s
mass 0.00781g, abs. mag 0.8
Path Details
------------
start -2.18° 55.88° 111.69km
end   -2.41° 55.76° 93.41km

Orbit Details
-------------
Semimajor axis 63.31A.U., eccentricity 0.98, inclination 114.67°, Period 503.76Y, LA Sun 141.13°, last Perihelion 2021-07-26

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: 2459440.478377038147
Time: 2021-08-13 23:28:51.816007 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000P and UK000Y
 Convergence angle = 28.89456 deg
 R.A. =  48.48240  Dec = +57.89354 deg

Best intersection: Stations UK000P and UK000Y with Qconv = 28.89 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2472815.46 +/- 446.16 m
 Y =  -2682394.22 +/- 768.40 m
 Z =   5351743.12 +/- 2188.11 m
 Vx =    21544.48 +/- 3161.71 m/s
 Vy =    24263.71 +/- 3012.33 m/s
 Vz =    51705.74 +/- 6165.13 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.534284e+03, +8.973173e+03, +2.490924e+04, +1.600534e+04, +3.298640e+04, +9.424345e+04
+8.973173e+03, +1.507264e+04, +4.216375e+04, +2.374054e+04, +4.930736e+04, +1.389525e+05
+2.490924e+04, +4.216375e+04, +1.190644e+05, +6.316543e+04, +1.308822e+05, +3.677600e+05
+1.600534e+04, +2.374054e+04, +6.316543e+04, +5.766278e+04, +1.181117e+05, +3.450506e+05
+3.298640e+04, +4.930736e+04, +1.308822e+05, +1.181117e+05, +2.425652e+05, +7.070791e+05
+9.424345e+04, +1.389525e+05, +3.677600e+05, +3.450506e+05, +7.070791e+05, +2.067493e+06

Timing offsets (from input data):
    UK000P: 0.000000 s
    UK000Y: -0.006793 s

Reference point on the trajectory:
  Time: 2021-08-13 23:28:51.816007 UTC
  Lon     = +-2.158290 +/- 0.0133 deg
  Lat     = +55.893429 +/- 0.0127 deg
  Lat geo = +55.717661 +/- 0.0128 deg
  Ht      =  113410.33 +/- 1665.09 m

  JD dynamic   = 2459440.479178240988 
  LST apparent = 312.6719919193 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.39715 +/- 0.6806 deg
  Dec       = +57.88938 +/- 0.8490 deg
  Azimuth   =  45.54921 +/- 1.1675 deg
  Elevation = +42.19055 +/- 0.3089 deg
  Vavg      =  60.57076 +/- 3.0413 km/s
  Vinit     =  61.04405 +/- 6.7224 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.35067 +/- 0.6806 deg
  Dec       = +57.67941 +/- 0.8490 deg
  Azimuth   =  45.78424 +/- 1.1675 deg
  Elevation = +42.07088 +/- 0.3089 deg
  Vavg      =  60.71188 +/- 3.0413 km/s
  Vinit     =  61.18517 +/- 6.7224 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.58045 +/- 0.5951 deg
  Dec    = +57.52819 +/- 0.8946 deg
  Vg     =  60.02747 +/- 6.8100 km/s
  Vinf   =  61.04405 +/- 6.7224 km/s
  Zc     =  47.93266 +/- 0.3065 deg
  Zg     =  48.36037 +/- 0.3724 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.25898 +/- 0.7542 deg
  Bg     = +37.87297 +/- 0.7415 deg
  Vh     =  41.68193 +/- 6.6586 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  80.79283 +/- 1.4173 deg
  Bh     = +62.14363 +/- 1.9281 deg
  Vh_x   =  -3.11628 +/- 1.5949 km/s
  Vh_y   = -19.22524 +/- 4.6018 km/s
  Vh_z   = -36.85190 +/- 4.8818 km/s
Orbit:
  La Sun = 141.128048 +/- 0.0000 deg
  a      =  63.311698 +/- 17.6419 AU
  e      =   0.984861 +/- 0.7488
  i      = 114.665795 +/- 2.0949 deg
  peri   = 153.051530 +/- 3.8552 deg
  node   = 141.126822 +/- 0.0002 deg
  Pi     = 294.178351 +/- 3.8550 deg
  q      =   0.958487 +/- 0.0069 AU
  f      =  26.944371 +/- 3.8552 deg
  M      =   0.036980 +/- nan deg
  Q      = 125.664909 +/- 35.2852 AU
  n      =   0.001956 +/- 1.1561 deg/day
  T      = 503.763363 +/- 442216580.3003 years
  Last perihelion JD = 2459421.578034 (2021-07-26 01:52:22.118248) +/- 1.7213 days
  Tj     =  -0.422440 +/- 4.1326
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.694947e-02, +4.553009e-04, +2.837849e-01, -1.073603e-07, +4.756051e-03, +1.376976e-03
q   , +4.553009e-04, +1.224467e-05, +7.635434e-03, -2.891453e-09, +1.279706e-04, +3.708849e-05
Tp  , +2.837849e-01, +7.635434e-03, +4.765201e+00, -1.805532e-06, +7.986082e-02, +2.316103e-02
node, -1.073603e-07, -2.891453e-09, -1.805532e-06, +6.847142e-13, -3.025976e-08, -8.784149e-09
peri, +4.756051e-03, +1.279706e-04, +7.986082e-02, -3.025976e-08, +1.338414e-03, +3.881666e-04
i   , +1.376976e-03, +3.708849e-05, +2.316103e-02, -8.784149e-09, +3.881666e-04, +1.126922e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.062819
 a2 = -18.138257

Mean time residuals from time vs. length:
  Station with reference time: UK000P
  Avg. res. = 9.501e-06 s
  Stddev    = 3.08e-03 s

Begin point on the trajectory:
  Lon =    -2.179612 +/- 0.0113 deg
  Lat =    55.881670 +/- 0.0111 deg
  Ht  = 111686.45 +/- 1441.19 m
End point on the trajectory:
  Lon =    -2.407798 +/- 0.0041 deg
  Lat =    55.756171 +/- 0.0047 deg
  Ht  = 93411.96 +/- 594.00 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
    UK000P,   False,    -3.059440,    54.994170,   18.00, 153.037637,   0.000000,   111686.45,    93411.96,          0.009676,     15.12,     18.19,              11.56, 1.0000,    True,    True, {"ff_name": "FF_UK000P_20210813_232852_802_0262656.fits"}
    UK000Y,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   105118.82,    95571.29,          0.022487,    118.42,     47.35,              47.14, 1.0000,    True,    True, {"ff_name": "FF_UK000Y_20210813_232851_472_0288000.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,     UK000P,       1,  0.000000, 2459440.478377038147,  60.40578,  68.09802,               29.29949,  43.75695,        29.30170,       43.76892,     60.40578,     +68.09802,      60.37778,      +68.10470,  2472818.83, -2682390.43,  5351751.20,      55.893473,       -2.158044,  113416.74,  162395.89,       0.00,                9.54,  -867.80,      0.00,           68079.15,    -26.29,    -21.88,          43.44,  +5.67,  +4.62
  1,     UK000P,       0,  0.039924, 2459440.478377500083,  60.63880,  68.26620,               29.04523,  43.80258,        29.04376,       43.79452,     60.63880,     +68.26620,      60.65620,      +68.26168,  2471909.43, -2683414.60,  5349568.70,      55.881670,       -2.179612,  111686.45,  159868.28,    2576.66,             2567.12,  -747.34,  64539.22,           68079.15,     17.48,     14.49,          29.29,  +3.22,  +2.20
  2,     UK000P,       0,  0.079860, 2459440.478377962485,  61.02870,  68.45869,               28.71333,  43.82158,        28.71413,       43.82614,     61.02870,     +68.45869,      61.01763,      +68.46127,  2470785.12, -2684680.82,  5346870.39,      55.867064,       -2.206237,  109547.98,  156746.62,    5762.30,             5752.76,     0.44,  79768.53,           68079.15,     -9.67,     -8.03,          16.54,  +2.34,  +1.36
  3,     UK000P,       0,  0.119796, 2459440.478378424887,  61.27819,  68.60873,               28.47358,  43.85229,        28.47300,       43.84892,     61.27819,     +68.60873,      61.28533,      +68.60682,  2469995.36, -2685570.26,  5344975.01,      55.856795,       -2.224987,  108046.34,  154554.44,    8000.00,             7990.46,  -199.71,  56032.20,           68079.15,      7.05,      5.84,          12.22,  +2.11,  +1.16
  4,     UK000P,       0,  0.159740, 2459440.478378886823,  61.63116,  68.77789,               28.18001,  43.86826,        28.18123,       43.87562,     61.63116,     +68.77789,      61.61395,      +68.78210,  2469066.88, -2686615.92,  5342746.71,      55.844713,       -2.247000,  106281.48,  151979.78,   10630.74,            10621.20,    -7.32,  65860.59,           66820.19,    -15.12,    -12.56,          26.67,  +1.82,  +0.91
  5,     UK000P,       0,  0.199668, 2459440.478379349224,  61.95253,  68.95730,               27.88713,  43.90072,        27.88730,       43.90176,     61.95253,     +68.95730,      61.94993,      +68.95790,  2468163.48, -2687633.35,  5340578.58,      55.832946,       -2.268421,  104564.82,  149476.59,   13190.45,            13180.91,   115.03,  64108.19,           66073.20,     -2.10,     -1.75,           3.77,  +1.85,  +0.98
  6,     UK000P,       0,  0.239600, 2459440.478379811160,  62.26334,  69.12393,               27.61176,  43.92854,        27.61131,       43.92569,     62.26334,     +69.12393,      62.26987,      +69.12227,  2467343.92, -2688556.35,  5338611.68,      55.822264,       -2.287868,  103007.94,  147207.24,   15512.58,            15503.04,    -0.46,  58152.05,           64957.79,      5.67,      4.70,          10.32,  +1.73,  +0.89
  7,     UK000P,       0,  0.279532, 2459440.478380273562,  62.66005,  69.31279,               27.28595,  43.94957,        27.28645,       43.95285,     62.66005,     +69.31279,      62.65258,      +69.31471,  2466409.35, -2689608.87,  5336368.76,      55.810072,       -2.310019,  101233.14,  144622.17,   18160.59,            18151.05,   209.94,  66312.99,           64605.95,     -6.41,     -5.32,          11.88,  +1.92,  +1.12
  8,     UK000P,       0,  0.319460, 2459440.478380735498,  62.98423,  69.48259,               27.00456,  43.97821,        27.00420,       43.97583,     62.98423,     +69.48259,      62.99006,      +69.48118,  2465626.56, -2690490.46,  5334490.11,      55.799852,       -2.328599,   99747.01,  142458.31,   20378.53,            20368.99,    -9.48,  55548.51,           63838.03,      4.59,      3.80,           8.63,  +1.36,  +0.59
  9,     UK000P,       0,  0.359388, 2459440.478381197900,  63.39130,  69.67383,               26.67496,  44.00093,        26.67505,       44.00160,     63.39130,     +69.67383,      63.39020,      +69.67423,  2464741.66, -2691487.04,  5332366.39,      55.788290,       -2.349579,   98067.52,  140014.88,   22885.79,            22876.26,    60.42,  62794.71,           63390.17,     -1.27,     -1.05,           2.43,  +1.96,  +1.23
 10,     UK000P,       0,  0.399340, 2459440.478381660301,  63.82310,  69.83323,               26.37128,  43.99748,        26.37490,       44.02437,     63.82310,     +69.83323,      63.76092,      +69.84940,  2463963.08, -2692363.90,  5330497.83,      55.778109,       -2.368057,   96590.22,  137866.65,   25091.83,            25082.29,  -172.38,  55217.13,           62774.18,    -49.98,    -41.59,          97.28,  +1.57,  +0.87
 11,     UK000P,       0,  0.439236, 2459440.478382121772,  64.14981,  70.04512,               26.04853,  44.05754,        26.04730,       44.04825,     64.14981,     +70.04512,      64.17244,      +70.03950,  2463139.91, -2693290.96,  5328522.26,      55.767337,       -2.387581,   95028.77,  135597.82,   27424.20,            27414.66,  -275.43,  58461.16,           62253.12,     17.01,     14.08,          33.58,  +1.42,  +0.76
 12,     UK000P,       0,  0.479172, 2459440.478382584173,  64.64708,  70.23518,               25.69472,  44.06156,        25.69612,       44.07275,     64.64708,     +70.23518,      64.62167,      +70.24202,  2462287.31, -2694251.18,  5326476.05,      55.756171,       -2.407798,   93411.96,  133250.49,   29839.96,            29830.42,  -297.51,  60490.97,           61880.07,    -20.11,    -16.69,          40.45,  +1.86,  +1.24
  0,     UK000Y,       0,  0.185577, 2459440.478379933164, 142.93348,  53.79561,              353.93328,  17.17784,       353.94836,       17.16008,    142.93348,     +53.79561,     142.90600,      +53.77950,  2468455.05, -2687304.97,  5341278.35,      55.836745,       -2.261772,  105118.82,  329569.40,       0.00,            12354.75,   149.01,      0.00,           57775.65,     48.83,    122.13,          82.32,  +2.70,  +0.11
  1,     UK000Y,       0,  0.225781, 2459440.478380398359, 143.33013,  53.56381,              353.66242,  16.97318,       353.67981,       16.95274,    143.33013,     +53.56381,     143.29864,      +53.54535,  2467573.11, -2688298.22,  5339161.74,      55.825252,       -2.282688,  103443.30,  327930.08,    2498.88,            14853.64,   193.68,  62155.05,           57775.65,     56.01,    140.04,          94.87,  +2.47,  -0.11
  2,     UK000Y,       0,  0.265977, 2459440.478380863555, 143.62267,  53.33934,              353.45500,  16.76987,       353.45043,       16.77522,    143.62267,     +53.33934,     143.63130,      +53.34416,  2466826.20, -2689139.42,  5337369.17,      55.815511,       -2.300427,  102024.67,  326550.50,    4615.20,            16969.95,  -143.73,  52649.96,           57775.65,    -14.60,    -36.58,          24.88,  +1.88,  -0.69
  3,     UK000Y,       0,  0.306185, 2459440.478381329216, 143.98620,  53.09669,              353.19980,  16.55425,       353.18639,       16.56995,    143.98620,     +53.09669,     144.01106,      +53.11075,  2465971.51, -2690101.98,  5335317.96,      55.804356,       -2.320699,  100401.83,  324981.50,    7036.87,            19391.63,  -176.51,  60228.64,           57775.65,    -42.63,   -106.89,          73.04,  +1.77,  -0.79
  4,     UK000Y,       0,  0.346401, 2459440.478381794412, 144.50119,  52.85025,              352.84769,  16.34721,       352.86920,       16.32205,    144.50119,     +52.85025,     144.46280,      +52.82783,  2464951.92, -2691250.25,  5332871.01,      55.791038,       -2.344849,   98466.55,  323123.43,    9925.75,            22280.51,   257.42,  71834.08,           60662.81,     68.21,    170.43,         117.18,  +2.09,  -0.46
  5,     UK000Y,       0,  0.386593, 2459440.478382259607, 144.84606,  52.62343,              352.60223,  16.14843,       352.62043,       16.12717,    144.84606,     +52.62343,     144.81389,      +52.60457,  2464159.97, -2692142.15,  5330970.36,      55.780684,       -2.363642,   96963.78,  321691.06,   12169.66,            24524.42,    47.85,  55829.78,           60797.30,     57.40,    143.47,          99.08,  +1.90,  -0.64
  6,     UK000Y,       0,  0.426793, 2459440.478382724803, 145.12996,  52.39028,              352.39266,  15.93950,       352.38817,       15.94473,    145.12996,     +52.39028,     145.13909,      +52.39491,  2463425.95, -2692968.82,  5329208.74,      55.771081,       -2.381073,   95571.29,  320371.95,   14249.45,            26604.20,  -326.34,  51735.91,           59874.59,    -14.06,    -35.20,          24.41,  +3.81,  +1.28

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.