Orbital Analysis for matched events on 20210816_012038.810_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 39.02° Bg 26.39° Vg 63.17km/s
mass 0.04349g, abs. mag -1.1
Path Details
------------
start -3.01° 51.57° 110.47km
end   -3.15° 51.58° 95.43km

Orbit Details
-------------
Semimajor axis 7.68A.U., eccentricity 0.89, inclination 132.21°, Period 21.27Y, LA Sun 143.12°, last Perihelion 2000-06-08

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: 2459442.556004754733
Time: 2021-08-16 01:20:38.851485 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK0020
 Convergence angle = 85.80375 deg
 R.A. =  26.36666  Dec = +39.44007 deg

Best intersection: Stations UK0006 and UK0020 with Qconv = 85.80 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3841278.57 +/- 34.08 m
 Y =  -1260139.65 +/- 49.11 m
 Z =   5061845.68 +/- 43.53 m
 Vx =    44444.63 +/- 120.24 m/s
 Vy =    21807.04 +/- 269.00 m/s
 Vz =    40769.23 +/- 138.70 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.251945e+03, -8.964757e+02, +1.468414e+03, +1.796984e+03, -5.510764e+03, +2.900837e+03
-8.964757e+02, +2.563261e+03, -1.109010e+03, -3.575873e+03, +1.140240e+04, -4.631952e+03
+1.468414e+03, -1.109010e+03, +2.028010e+03, +2.199382e+03, -6.258433e+03, +5.041665e+03
+1.796984e+03, -3.575873e+03, +2.199382e+03, +5.690800e+03, -1.807528e+04, +7.709562e+03
-5.510764e+03, +1.140240e+04, -6.258433e+03, -1.807528e+04, +5.834501e+04, -2.173060e+04
+2.900837e+03, -4.631952e+03, +5.041665e+03, +7.709562e+03, -2.173060e+04, +1.911234e+04

Timing offsets (from input data):
    UK0006: 0.000131 s
    UK0020: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 01:20:38.851485 UTC
  Lon     = +-2.986257 +/- 0.0006 deg
  Lat     = +51.571291 +/- 0.0001 deg
  Lat geo = +51.387036 +/- 0.0001 deg
  Ht      =  112983.83 +/- 58.55 m

  JD dynamic   = 2459442.556805966422 
  LST apparent = 341.8378124025 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  26.13517 +/- 0.2794 deg
  Dec       = +39.47201 +/- 0.1051 deg
  Azimuth   =  94.00015 +/- 0.1472 deg
  Elevation = +57.28760 +/- 0.2258 deg
  Vavg      =  62.43570 +/- 0.0448 km/s
  Vinit     =  64.13270 +/- 0.0754 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  26.37835 +/- 0.2794 deg
  Dec       = +39.35512 +/- 0.1051 deg
  Azimuth   =  93.96644 +/- 0.1472 deg
  Elevation = +57.06708 +/- 0.2258 deg
  Vavg      =  62.59510 +/- 0.0448 km/s
  Vinit     =  64.29210 +/- 0.0754 km/s
Radiant (geocentric, J2000):
  R.A.   =  26.08082 +/- 0.2806 deg
  Dec    = +39.21288 +/- 0.1066 deg
  Vg     =  63.16601 +/- 0.0765 km/s
  Vinf   =  64.13270 +/- 0.0754 km/s
  Zc     =  32.70001 +/- 0.2261 deg
  Zg     =  32.95529 +/- 0.2282 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  39.02253 +/- 0.1872 deg
  Bg     = +26.39488 +/- 0.1745 deg
  Vh     =  40.45359 +/- 0.1412 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  24.12305 +/- 0.3825 deg
  Bh     = +43.95949 +/- 0.1973 deg
  Vh_x   = -26.57671 +/- 0.0729 km/s
  Vh_y   = -11.90117 +/- 0.1827 km/s
  Vh_z   = -28.08085 +/- 0.1964 km/s
Orbit:
  La Sun = 143.124034 +/- nan deg
  a      =   7.675887 +/- 0.8116 AU
  e      =   0.885198 +/- 0.0115
  i      = 132.207591 +/- 0.2907 deg
  peri   = 223.647499 +/- 0.3600 deg
  node   = 143.122071 +/- 0.0000 deg
  Pi     =   6.769570 +/- 0.3600 deg
  q      =   0.881211 +/- 0.0021 AU
  f      = 316.347905 +/- 0.3600 deg
  M      = 358.639507 +/- 0.2047 deg
  Q      =  14.470564 +/- 1.6237 AU
  n      =   0.046346 +/- 0.0068 deg/day
  T      =  21.266377 +/- 3.4589 years
  Last perihelion JD = 2451704.232497 (2000-06-08 17:34:47.717356) +/- 1263.5252 days
  Tj     =  -0.081136 +/- 0.0654
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.401067e-04, -6.267262e-06, -1.515719e+01, +6.125785e-09, -1.365357e-05, -5.620765e-05
q   , -6.267262e-06, +4.570639e-06, +5.272611e-01, -7.748869e-10, -1.259877e-05, +7.104690e-06
Tp  , -1.515719e+01, +5.272611e-01, +1.688256e+06, -6.444512e-04, +1.930776e+00, +5.917120e+00
node, +6.125785e-09, -7.748869e-10, -6.444512e-04, +3.263826e-13, +9.450217e-10, -2.994124e-09
peri, -1.365357e-05, -1.259877e-05, +1.930776e+00, +9.450217e-10, +4.200523e-05, -8.655257e-06
i   , -5.620765e-05, +7.104690e-06, +5.917120e+00, -2.994124e-09, -8.655257e-06, +2.746760e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.009716
 a2 = 32.584362

Mean time residuals from time vs. length:
  Station with reference time: UK0020
  Avg. res. = 6.372e-06 s
  Stddev    = 2.52e-03 s

Begin point on the trajectory:
  Lon =    -3.009090 +/- 0.0005 deg
  Lat =    51.572283 +/- 0.0001 deg
  Ht  = 110470.59 +/- 31.51 m
End point on the trajectory:
  Lon =    -3.147421 +/- 0.0004 deg
  Lat =    51.578152 +/- 0.0001 deg
  Ht  = 95426.16 +/- 20.09 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108148.88,    97533.79,          0.003610,      6.26,      8.23,              78.26, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20210816_012038_735_0470784.fits"}
    UK0020,   False,    -3.515726,    50.691998,   17.00,  81.349634,   0.000000,   110470.59,    95426.16,          0.023026,     57.27,      2.93,              43.43, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210816_012037_518_0465664.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,     UK0006,       1,  0.038754, 2459442.556005201768, 291.36572,  22.98093,              254.36751,  40.98380,       254.34797,       40.98084,    291.36572,     +22.98093,     291.37604,      +22.96915,  3838758.52, -1261376.13,  5059534.02,      51.572499,       -3.014046,  109924.43,  165665.29,       0.00,             3636.38,   742.06,      0.00,           57990.27,    -34.61,    -26.34,          54.15,  +2.71,  +1.61
  1,     UK0006,       0,  0.079366, 2459442.556005671620, 290.76209,  22.52205,              254.53820,  40.27410,       254.53514,       40.27364,    290.76209,     +22.52205,     290.76403,      +22.52019,  3837295.78, -1262093.83,  5058192.25,      51.573197,       -3.030363,  108148.88,  165287.71,    2110.70,             5747.08,   248.21,  51972.36,           57990.27,     -5.45,     -4.15,           8.55,  +0.28,  -0.81
  2,     UK0006,       0,  0.120106, 2459442.556006143335, 290.03163,  21.97281,              254.75245,  39.41872,       254.75585,       39.41923,    290.03163,     +21.97281,     290.03032,      +21.97488,  3835536.83, -1262956.88,  5056578.75,      51.574035,       -3.049964,  106014.02,  164866.79,    4648.84,             8285.22,   173.58,  62300.89,           57990.27,      6.12,      4.66,           9.62,  -0.40,  -1.49
  3,     UK0006,       0,  0.160794, 2459442.556006614119, 289.34421,  21.46284,              254.96213,  38.61786,       254.95810,       38.61725,    289.34421,     +21.46284,     289.34706,      +21.46036,  3833894.68, -1263762.61,  5055072.40,      51.574815,       -3.068285,  104021.17,  164508.93,    7018.43,            10654.81,   -66.26,  58238.01,           57990.27,     -7.33,     -5.57,          11.54,  -0.69,  -1.77
  4,     UK0006,       0,  0.201626, 2459442.556007086765, 288.53483,  20.83593,              255.19020,  37.65316,       255.19490,       37.65387,    288.53483,     +20.83593,     288.53309,      +20.83886,  3831930.87, -1264726.16,  5053270.99,      51.575744,       -3.090179,  101638.31,  164123.38,    9852.16,            13488.54,   148.80,  69399.80,           60448.81,      8.63,      6.57,          13.63,  -0.94,  -2.02
  5,     UK0006,       0,  0.242298, 2459442.556007557549, 287.87122,  20.32841,              255.38476,  36.86605,       255.38412,       36.86595,    287.87122,     +20.32841,     287.87259,      +20.32800,  3830332.79, -1265510.27,  5051805.07,      51.576498,       -3.108039,   99699.45,  163846.94,   12158.16,            15794.54,  -153.60,  56697.44,           60614.32,     -1.19,     -0.91,           1.88,  -0.87,  -1.94
  6,     UK0006,       0,  0.283054, 2459442.556008029263, 287.14087,  19.74774,              255.58372,  35.98156,       255.59146,       35.98273,    287.14087,     +19.74774,     287.13771,      +19.75262,  3828547.55, -1266386.21,  5050167.46,      51.577337,       -3.127984,   97533.79,  163575.16,   14734.23,            18370.61,  -191.33,  63207.05,           60951.49,     14.46,     11.00,          22.92,  -0.33,  -1.40
  7,     UK0006,       1,  0.323758, 2459442.556008500513, 286.47746,  19.20170,              255.75231,  35.16269,       255.77893,       35.16672,    286.47746,     +19.20170,     286.46369,      +19.21861,  3826904.06, -1267192.60,  5048659.88,      51.578108,       -3.146371,   95540.34,  163361.37,   17105.75,            20742.13,  -430.26,  58262.69,           60867.96,     50.23,     38.21,          79.69,  +2.85,  +1.78
  0,     UK0020,       1,  0.000000, 2459442.556004754733,  80.60843,  75.82602,               20.54357,  46.47944,        20.54864,       46.47546,     80.60843,     +75.82602,      80.61722,      +75.82118,  3841275.80, -1260141.01,  5061843.13,      51.571292,       -2.986117,  112980.47,  154589.03,       0.00,                4.00,  -404.94,      0.00,           66929.89,     -0.75,     14.27,          19.07,  +5.07,  +4.12
  1,     UK0020,       0,  0.040664, 2459442.556005225517,  83.52534,  76.14137,               19.68763,  45.98164,        19.70871,       45.96527,     83.52534,     +76.14137,      83.55856,      +76.12088,  3839208.43, -1261155.38,  5059946.73,      51.572283,       -3.009090,  110470.59,  152433.67,    2983.17,             2987.17,   -29.67,  73361.34,           66929.89,     -3.02,     58.37,          79.09,  +2.45,  +1.53
  2,     UK0020,       0,  0.081272, 2459442.556005695369,  86.31961,  76.36794,               18.95332,  45.50266,        18.95986,       45.49763,     86.31961,     +76.36794,      86.32906,      +76.36148,  3837383.07, -1262051.01,  5058272.31,      51.573156,       -3.029408,  108254.82,  150553.99,    5617.14,             5621.14,    -0.00,  64863.34,           66929.89,     -0.93,     17.84,          24.48,  +1.02,  +0.13
  3,     UK0020,       0,  0.121880, 2459442.556006165221,  89.17116,  76.58416,               18.20999,  45.03613,        18.22385,       45.02559,     89.17116,     +76.58416,      89.18840,      +76.57031,  3835603.31, -1262924.25,  5056639.74,      51.574003,       -3.049237,  106094.71,  148743.47,    8185.28,             8189.28,   -36.16,  63242.34,           66929.89,     -1.93,     37.30,          51.79,  +0.34,  -0.52
  4,     UK0020,       0,  0.162520, 2459442.556006635539,  92.30007,  76.74490,               17.47040,  44.51565,        17.46098,       44.52274,     92.30007,     +76.74490,      92.29145,      +76.75442,  3833772.03, -1263822.79,  5054959.89,      51.574873,       -3.069649,  103872.34,  146904.40,   10827.79,            10831.79,     0.00,  65022.39,           66110.66,      1.30,    -24.99,          35.14,  +0.14,  -0.70
  5,     UK0020,       0,  0.203188, 2459442.556007106323,  95.60889,  76.89916,               16.68627,  43.98914,        16.68032,       43.99357,     95.60889,     +76.89916,      95.60531,      +76.90524,  3831911.53, -1264735.65,  5053253.26,      51.575753,       -3.090400,  101614.84,  145061.69,   13512.44,            13516.44,    76.51,  66013.92,           65862.76,      0.81,    -15.58,          22.18,  -0.03,  -0.84
  6,     UK0020,       0,  0.243852, 2459442.556007577106,  98.95714,  77.01978,               15.91126,  43.46806,        15.91839,       43.46279,     98.95714,     +77.01978,      98.96167,      +77.01244,  3830108.74, -1265620.20,  5051599.55,      51.576603,       -3.110527,   99427.65,  143301.66,   16113.84,            16117.84,    70.01,  63972.92,           65571.60,     -0.95,     18.45,          26.59,  +0.08,  -0.70
  7,     UK0020,       0,  0.284504, 2459442.556008047424, 102.28601,  77.10540,               15.15521,  42.95911,        15.18432,       42.93779,    102.28601,     +77.10540,     102.29406,      +77.07530,  3828383.53, -1266466.68,  5050017.01,      51.577414,       -3.129808,   97334.85,  141641.75,   18603.27,            18607.27,   -47.68,  61237.69,           65089.01,     -3.81,     74.41,         108.51,  +0.26,  -0.50
  8,     UK0020,       0,  0.325112, 2459442.556008517742, 105.42165,  77.14499,               14.46297,  42.47852,        14.51037,       42.44407,    105.42165,     +77.14499,     105.42256,      +77.09590,  3826809.92, -1267238.79,  5048573.52,      51.578152,       -3.147421,   95426.16,  140149.11,   20873.97,            20877.97,  -381.28,  55917.54,           64252.97,     -6.09,    119.91,         176.71,  +2.37,  +1.64

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.