Orbital Analysis for matched events on 20210816_020123.073_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.06° Bg 35.46° Vg 62.54km/s
mass 0.01019g, abs. mag 0.2
Path Details
------------
start -2.31° 51.86° 108.92km
end   -2.40° 51.83° 99.01km

Orbit Details
-------------
Semimajor axis -10.34A.U., eccentricity 1.09, inclination 119.39°, Period 1000000000.00Y, LA Sun 143.15°, 

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: 2459442.584294829052
Time: 2021-08-16 02:01:23.073230 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001Z and UK0027
 Convergence angle = 51.38935 deg
 R.A. =  52.58570  Dec = +55.84336 deg

Best intersection: Stations UK001Z and UK0027 with Qconv = 51.39 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3982347.16 +/- 9.17 m
 Y =   -508376.39 +/- 15.82 m
 Z =   5078803.29 +/- 53.25 m
 Vx =    21752.17 +/- 272.17 m/s
 Vy =    28248.42 +/- 344.56 m/s
 Vz =    52570.90 +/- 459.15 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK001Z: 0.000000 s
    UK0027: -0.000176 s

Reference point on the trajectory:
  Time: 2021-08-16 02:01:23.073230 UTC
  Lon     = +-2.311097 +/- 0.0002 deg
  Lat     = +51.858460 +/- 0.0003 deg
  Lat geo = +51.674525 +/- 0.0003 deg
  Ht      =  108930.06 +/- 44.43 m

  JD dynamic   = 2459442.585095569957 
  LST apparent = 352.7251133760 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  52.40260 +/- 0.1404 deg
  Dec       = +55.85539 +/- 0.2209 deg
  Azimuth   =  59.24743 +/- 0.3726 deg
  Elevation = +55.68277 +/- 0.1056 deg
  Vavg      =  58.84209 +/- 0.3742 km/s
  Vinit     =  63.52031 +/- 0.3889 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  52.63845 +/- 0.1404 deg
  Dec       = +55.66693 +/- 0.2209 deg
  Azimuth   =  59.48526 +/- 0.3726 deg
  Elevation = +55.49553 +/- 0.1056 deg
  Vavg      =  58.98445 +/- 0.3742 km/s
  Vinit     =  63.66266 +/- 0.3889 km/s
Radiant (geocentric, J2000):
  R.A.   =  52.44802 +/- 0.1422 deg
  Dec    = +55.69333 +/- 0.2236 deg
  Vg     =  62.54353 +/- 0.3949 km/s
  Vinf   =  63.52031 +/- 0.3889 km/s
  Zc     =  34.41160 +/- 0.1050 deg
  Zg     =  34.68655 +/- 0.1086 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.05512 +/- 0.1194 deg
  Bg     = +35.46096 +/- 0.2167 deg
  Vh     =  42.87037 +/- 0.4582 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.61661 +/- 0.2330 deg
  Bh     = +57.81999 +/- 0.0949 deg
  Vh_x   =  -4.11509 +/- 0.0947 km/s
  Vh_y   = -22.45804 +/- 0.1934 km/s
  Vh_z   = -36.28458 +/- 0.4211 km/s
Orbit:
  La Sun = 143.151220 +/- 0.0000 deg
  a      = -10.340816 +/- 4.3393 AU
  e      =   1.092647 +/- 0.0430
  i      = 119.392623 +/- 0.1027 deg
  peri   = 153.726885 +/- 0.5550 deg
  node   = 143.150729 +/- 0.0000 deg
  Pi     = 296.877614 +/- 0.5550 deg
  q      =   0.958050 +/- 0.0014 AU
  f      =  26.269330 +/- 0.5550 deg
  M      =        nan +/- nan deg
  Q      = -21.639682 +/- 8.6779 AU
  n      =   0.029640 +/- 0.0232 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.112516 +/- 0.2371
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.031079
 a2 = 48.297977

Mean time residuals from time vs. length:
  Station with reference time: UK001Z
  Avg. res. = 1.200e-05 s
  Stddev    = 3.46e-03 s

Begin point on the trajectory:
  Lon =    -2.311178 +/- 0.0001 deg
  Lat =    51.858430 +/- 0.0002 deg
  Ht  = 108920.40 +/- 34.04 m
End point on the trajectory:
  Lon =    -2.395123 +/- 0.0000 deg
  Lat =    51.827775 +/- 0.0003 deg
  Ht  = 99009.16 +/- 48.88 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
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.706368,  36.495761,   108920.40,   101042.46,          0.005642,     10.32,     11.38,              26.78, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210816_020115_772_0529152.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,   108682.71,    99009.16,          0.008078,      2.84,     16.02,              27.93, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210816_020117_638_0526080.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,     UK001Z,       0,  0.000000, 2459442.584294829052, 104.32081,  72.54299,               21.92232,  41.94684,        21.91881,       41.94982,    104.32081,     +72.54299,     104.31840,      +72.54688,  3982343.16,  -508381.58,  5078793.62,      51.858430,       -2.311178,  108920.40,  161156.71,       0.00,               11.69,   508.26,      0.00,           57934.15,     -8.25,     -7.48,          14.25,  +5.10,  +4.06
  1,     UK001Z,       0,  0.040212, 2459442.584295294248, 105.41914,  72.61135,               21.57491,  41.73276,        21.57747,       41.73059,    105.41914,     +72.61135,     105.42090,      +72.60850,  3981636.43,  -509299.37,  5077085.59,      51.853170,       -2.325618,  107215.94,  159312.47,    2063.78,             2075.46,    17.76,  51322.38,           57934.15,      5.95,      5.39,          10.40,  +3.26,  +2.25
  2,     UK001Z,       0,  0.080492, 2459442.584295760840, 106.82330,  72.67291,               21.15446,  41.44922,        21.15101,       41.45212,    106.82330,     +72.67291,     106.82179,      +72.67675,  3980766.84,  -510428.67,  5074983.94,      51.846693,       -2.343353,  105118.94,  157051.63,    4603.16,             4614.84,    -1.46,  63043.23,           57934.15,     -7.88,     -7.15,          13.97,  +2.38,  +1.40
  3,     UK001Z,       0,  0.120752, 2459442.584296226501, 108.15299,  72.72164,               20.76233,  41.18085,        20.75277,       41.18884,    108.15299,     +72.72164,     108.14916,      +72.73232,  3979971.06,  -511462.11,  5073060.70,      51.840759,       -2.359603,  103200.23,  154990.18,    6926.97,             6938.65,  -234.98,  57720.04,           57934.15,    -21.54,    -19.54,          38.70,  +2.37,  +1.42
  4,     UK001Z,       0,  0.161044, 2459442.584296693094, 109.69348,  72.78307,               20.29858,  40.88083,        20.29669,       40.88241,    109.69348,     +72.78307,     109.69348,      +72.78519,  3979076.02,  -512624.46,  5070897.54,      51.834078,       -2.377865,  101042.46,  152681.15,    9540.67,             9552.35,  -180.64,  64868.96,           59471.31,     -4.20,     -3.81,           7.66,  +2.44,  +1.52
  5,     UK001Z,       1,  0.201216, 2459442.584297157824, 110.68003,  72.84492,               19.97752,  40.70844,        20.00492,       40.68571,    110.68003,     +72.84492,     110.68911,      +72.81423,  3978516.95,  -513350.49,  5069546.37,      51.829901,       -2.389338,   99694.80,  151242.85,   11173.25,            11184.93, -1099.79,  40639.78,           57226.24,     60.31,     54.49,         110.85,  +6.82,  +5.92
  0,     UK0027,       0,  0.008249, 2459442.584294926375,   2.54633,  78.11167,                4.47036,  63.01769,         4.47056,       63.01715,      2.54633,     +78.11167,       2.54742,      +78.11218,  3982244.61,  -508509.57,  5078555.43,      51.857697,       -2.313203,  108682.71,  121641.74,       0.00,              299.48,   272.07,      0.00,           62782.51,      1.15,     -0.20,           1.98,  +3.53,  +3.10
  1,     UK0027,       0,  0.048333, 2459442.584295390639,   0.48382,  78.29488,                3.47821,  62.92784,         3.47369,       62.93902,      0.48382,     +78.29488,       0.46379,      +78.28427,  3981547.61,  -509414.73,  5076870.91,      51.852509,       -2.327447,  107001.72,  119845.06,    2035.37,             2334.85,  -238.70,  50777.73,           62782.51,    -23.43,      4.16,          40.95,  +2.39,  +2.00
  2,     UK0027,       0,  0.088433, 2459442.584295854438, 357.33076,  78.50453,                2.03492,  62.81509,         2.03605,       62.81260,    357.33076,     +78.50453,     357.33509,      +78.50696,  3980567.82,  -510687.13,  5074502.95,      51.845209,       -2.347408,  104639.07,  117333.01,    4896.53,             5196.01,    75.29,  71350.48,           62782.51,      5.13,     -0.91,           9.16,  +1.39,  +1.04
  3,     UK0027,       0,  0.128537, 2459442.584296318702, 354.34223,  78.68487,                0.71838,  62.68000,         0.71700,       62.68278,    354.34223,     +78.68487,     354.33898,      +78.68212,  3979697.71,  -511817.09,  5072400.06,      51.838719,       -2.365161,  102541.21,  115116.04,    7437.40,             7736.88,    68.75,  63357.14,           62782.51,     -5.64,      1.00,          10.26,  +1.20,  +0.89
  4,     UK0027,       0,  0.168657, 2459442.584296782967, 351.22943,  78.84344,              359.39944,  62.52332,       359.39117,       62.53858,    351.22943,     +78.84344,     351.21313,      +78.82807,  3978848.05,  -512920.50,  5070346.60,      51.832375,       -2.382507,  100492.95,  112964.57,    9918.56,            10218.04,     1.47,  61843.40,           62937.61,    -30.52,      5.42,          56.61,  +1.42,  +1.16
  5,     UK0027,       0,  0.208725, 2459442.584297246765, 348.81549,  78.91536,              358.40372,  62.42262,       358.40382,       62.42244,    348.81549,     +78.91536,     348.81652,      +78.91554,  3978232.49,  -513719.90,  5068858.89,      51.827775,       -2.395123,   99009.16,  111414.60,   11716.13,            12015.61,  -746.09,  44863.07,           60402.09,      0.34,     -0.06,           0.65,  +4.38,  +4.15

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.