#' Earth-Sun distance by day of year
#'
#' Earth-Sun distance by day of year
#' @param doy numeric. image day-of-year
#' @export
#' @references http://landsathandbook.gsfc.nasa.gov/excel_docs/d.xls
eudist = function(doy){
dau = c(
0.98331,
0.98330,
0.98330,
0.98330,
0.98330,
0.98332,
0.98333,
0.98335,
0.98338,
0.98341,
0.98345,
0.98349,
0.98354,
0.98359,
0.98365,
0.98371,
0.98378,
0.98385,
0.98393,
0.98401,
0.98410,
0.98419,
0.98428,
0.98439,
0.98449,
0.98460,
0.98472,
0.98484,
0.98496,
0.98509,
0.98523,
0.98536,
0.98551,
0.98565,
0.98580,
0.98596,
0.98612,
0.98628,
0.98645,
0.98662,
0.98680,
0.98698,
0.98717,
0.98735,
0.98755,
0.98774,
0.98794,
0.98814,
0.98835,
0.98856,
0.98877,
0.98899,
0.98921,
0.98944,
0.98966,
0.98989,
0.99012,
0.99036,
0.99060,
0.99084,
0.99108,
0.99133,
0.99158,
0.99183,
0.99208,
0.99234,
0.99260,
0.99286,
0.99312,
0.99339,
0.99365,
0.99392,
0.99419,
0.99446,
0.99474,
0.99501,
0.99529,
0.99556,
0.99584,
0.99612,
0.99640,
0.99669,
0.99697,
0.99725,
0.99754,
0.99782,
0.99811,
0.99840,
0.99868,
0.99897,
0.99926,
0.99954,
0.99983,
1.00012,
1.00041,
1.00069,
1.00098,
1.00127,
1.00155,
1.00184,
1.00212,
1.00240,
1.00269,
1.00297,
1.00325,
1.00353,
1.00381,
1.00409,
1.00437,
1.00464,
1.00492,
1.00519,
1.00546,
1.00573,
1.00600,
1.00626,
1.00653,
1.00679,
1.00705,
1.00731,
1.00756,
1.00781,
1.00806,
1.00831,
1.00856,
1.00880,
1.00904,
1.00928,
1.00952,
1.00975,
1.00998,
1.01020,
1.01043,
1.01065,
1.01087,
1.01108,
1.01129,
1.01150,
1.01170,
1.01191,
1.01210,
1.01230,
1.01249,
1.01267,
1.01286,
1.01304,
1.01321,
1.01338,
1.01355,
1.01371,
1.01387,
1.01403,
1.01418,
1.01433,
1.01447,
1.01461,
1.01475,
1.01488,
1.01500,
1.01513,
1.01524,
1.01536,
1.01547,
1.01557,
1.01567,
1.01577,
1.01586,
1.01595,
1.01603,
1.01610,
1.01618,
1.01625,
1.01631,
1.01637,
1.01642,
1.01647,
1.01652,
1.01656,
1.01659,
1.01662,
1.01665,
1.01667,
1.01668,
1.01670,
1.01670,
1.01670,
1.01670,
1.01669,
1.01668,
1.01666,
1.01664,
1.01661,
1.01658,
1.01655,
1.01650,
1.01646,
1.01641,
1.01635,
1.01629,
1.01623,
1.01616,
1.01609,
1.01601,
1.01592,
1.01584,
1.01575,
1.01565,
1.01555,
1.01544,
1.01533,
1.01522,
1.01510,
1.01497,
1.01485,
1.01471,
1.01458,
1.01444,
1.01429,
1.01414,
1.01399,
1.01383,
1.01367,
1.01351,
1.01334,
1.01317,
1.01299,
1.01281,
1.01263,
1.01244,
1.01225,
1.01205,
1.01186,
1.01165,
1.01145,
1.01124,
1.01103,
1.01081,
1.01060,
1.01037,
1.01015,
1.00992,
1.00969,
1.00946,
1.00922,
1.00898,
1.00874,
1.00850,
1.00825,
1.00800,
1.00775,
1.00750,
1.00724,
1.00698,
1.00672,
1.00646,
1.00620,
1.00593,
1.00566,
1.00539,
1.00512,
1.00485,
1.00457,
1.00430,
1.00402,
1.00374,
1.00346,
1.00318,
1.00290,
1.00262,
1.00234,
1.00205,
1.00177,
1.00148,
1.00119,
1.00091,
1.00062,
1.00033,
1.00005,
0.99976,
0.99947,
0.99918,
0.99890,
0.99861,
0.99832,
0.99804,
0.99775,
0.99747,
0.99718,
0.99690,
0.99662,
0.99634,
0.99605,
0.99577,
0.99550,
0.99522,
0.99494,
0.99467,
0.99440,
0.99412,
0.99385,
0.99359,
0.99332,
0.99306,
0.99279,
0.99253,
0.99228,
0.99202,
0.99177,
0.99152,
0.99127,
0.99102,
0.99078,
0.99054,
0.99030,
0.99007,
0.98983,
0.98961,
0.98938,
0.98916,
0.98894,
0.98872,
0.98851,
0.98830,
0.98809,
0.98789,
0.98769,
0.98750,
0.98731,
0.98712,
0.98694,
0.98676,
0.98658,
0.98641,
0.98624,
0.98608,
0.98592,
0.98577,
0.98562,
0.98547,
0.98533,
0.98519,
0.98506,
0.98493,
0.98481,
0.98469,
0.98457,
0.98446,
0.98436,
0.98426,
0.98416,
0.98407,
0.98399,
0.98391,
0.98383,
0.98376,
0.98370,
0.98363,
0.98358,
0.98353,
0.98348,
0.98344,
0.98340,
0.98337,
0.98335,
0.98333,
0.98331)
return(dau[doy])
}
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