{"id":4434,"date":"2014-11-17T16:19:49","date_gmt":"2014-11-17T15:19:49","guid":{"rendered":"http:\/\/www.keris-studio.fr\/blog\/?p=4434"},"modified":"2014-12-15T09:51:36","modified_gmt":"2014-12-15T08:51:36","slug":"simulation-solaire-comparaison-des-logiciels-4","status":"publish","type":"post","link":"https:\/\/www.keris-studio.fr\/blog\/?p=4434","title":{"rendered":"Simulation solaire : comparaison des logiciels"},"content":{"rendered":"

Pr\u00e9paration \u00e0 la visualisation graphique des positions solaires, exemple du site de Gavrinis.<\/p>\n\n\n\n
\n

Situation<\/h3>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Site de Gavrinis<\/p>\n\n\n\n
Latitude : 47\u00b0 34′ 18,7″ NLongitude : 2\u00b0 53′ 54,0″ O<\/td>\nAltitude : 0mHauteur de l\u2019observateur : 0,0m<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Coordonn\u00e9es g\u00e9ocentriques :<\/p>\n

ro * cos(phi’) = 0.675898695580329 rayon terrestre<\/p>\n

ro * sin(phi’) = 0.734523537728869 rayon terrestre<\/p>\n

\"clip_image002\"<\/a><\/p>\n

<\/p>\n

(<\/i>http:\/\/tool-online.com\/conversion-coordonnees.php<\/i><\/a> et <\/i>http:\/\/www.geoportail.gouv.fr\/<\/i><\/a> )<\/i><\/p>\n

\"clip_image004\"<\/a><\/p>\n

Conversion des coordonn\u00e9es degr\u00e9s\/minutes\/secondes en degr\u00e9s d\u00e9cimaux :<\/p>\n\n\n\n
Coordonn\u00e9es Projection:X= 694310.569 m<\/p>\n

Y= 1904208.518 m<\/td>\n

WGS84 (GPS):Long= -2.89877057 \u00b0<\/p>\n

Lat= 47.57186170 \u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Latitude : 47\u00b0 34′ 18,7″ N -> 47.571861N \/ Longitude : 2\u00b0 53′ 54,0″ O -> 2.898333W<\/p>\n

Source code en C : http:\/\/adamprescott.net\/2013\/07\/17\/convert-latitudelongitude-between-decimal-and-degreesminutesseconds-in-c\/<\/a><\/p>\n\n\n\n
\n

Production de r\u00e9sultats avec le site SunEarthTools.com<\/h3>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

http:\/\/www.sunearthtools.com\/dp\/tools\/pos_sun.php?lang=fr<\/a><\/p>\n

\"clip_image006\"<\/a><\/p>\n

\"clip_image008\"<\/a><\/p>\n

\"clip_image010\"<\/a><\/p>\n\n\n\n\n\n\n\n\n\n\n\n
position du soleil\u00a0\u00a0\u00a0 \"clip_image012\"<\/a><\/td>\nElevation<\/td>\nAzimut<\/td>\nlatitudes<\/td>\nlongitudes<\/td>\n<\/tr>\n
11\/09\/2014\u00a0\u00a0 11:11 | GMT1<\/td>\n40.12\u00b0<\/td>\n140.32\u00b0<\/td>\n47.5717486\u00b0 N<\/td>\n2.8984594\u00b0 W<\/td>\n<\/tr>\n
cr\u00e9puscule\u00a0\u00a0\u00a0 \"clip_image012[1]\"<\/a><\/td>\nSunrise<\/td>\nSunset<\/td>\nAzimut Sunrise<\/td>\nAzimut Sunset<\/td>\n<\/tr>\n
cr\u00e9puscule -0.833\u00b0<\/td>\n06:43:16<\/td>\n19:32:20<\/td>\n82.29\u00b0<\/td>\n277.41\u00b0<\/td>\n<\/tr>\n
Le cr\u00e9puscule civil -6\u00b0<\/td>\n06:12:02<\/td>\n20:03:24<\/td>\n76.45\u00b0<\/td>\n283.19\u00b0<\/td>\n<\/tr>\n
Le cr\u00e9puscule nautique -12\u00b0<\/td>\n05:34:45<\/td>\n20:40:31<\/td>\n69.27\u00b0<\/td>\n290.33\u00b0<\/td>\n<\/tr>\n
cr\u00e9puscule astronomique -18\u00b0<\/td>\n04:55:32<\/td>\n21:19:30<\/td>\n61.27\u00b0<\/td>\n298.25\u00b0<\/td>\n<\/tr>\n
jour\u00a0\u00a0\u00a0 \"clip_image013\"<\/a><\/td>\nhh:mm:ss<\/td>\ndiff. dd+1<\/td>\ndiff. dd-1<\/td>\nmidi<\/td>\n<\/tr>\n
11\/09\/2014<\/td>\n12:49:04<\/td>\n-00:03:22<\/td>\n00:03:23<\/td>\n13:07:48<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
coordonn\u00e9es:<\/td>\n47.5717486,-2.8984594<\/td>\n<\/tr>\n
emplacement:<\/td>\n<\/tr>\n
heure<\/td>\nEl\u00e9vation<\/td>\nAzimut<\/td>\n<\/tr>\n
08:59:43<\/td>\n-0.833<\/td>\n124.27<\/td>\n<\/tr>\n
07:00:00<\/td>\n1.97<\/td>\n85.38<\/td>\n<\/tr>\n
08:00:00<\/td>\n12.06<\/td>\n96.51<\/td>\n<\/tr>\n
09:00:00<\/td>\n21.92<\/td>\n108.29<\/td>\n<\/tr>\n
10:00:00<\/td>\n31.08<\/td>\n121.53<\/td>\n<\/tr>\n
11:00:00<\/td>\n38.9<\/td>\n137.14<\/td>\n<\/tr>\n
12:00:00<\/td>\n44.49<\/td>\n155.78<\/td>\n<\/tr>\n
13:00:00<\/td>\n46.87<\/td>\n176.99<\/td>\n<\/tr>\n
14:00:00<\/td>\n45.48<\/td>\n198.56<\/td>\n<\/tr>\n
15:00:00<\/td>\n40.65<\/td>\n218.00<\/td>\n<\/tr>\n
16:00:00<\/td>\n33.32<\/td>\n234.38<\/td>\n<\/tr>\n
17:00:00<\/td>\n24.44<\/td>\n248.16<\/td>\n<\/tr>\n
18:00:00<\/td>\n14.7<\/td>\n260.24<\/td>\n<\/tr>\n
19:00:00<\/td>\n4.61<\/td>\n271.45<\/td>\n<\/tr>\n
17:30:47<\/td>\n-0.833<\/td>\n235.77<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n

Mise en place et v\u00e9rification dans AlmSun<\/h3>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

http:\/\/almsun.pl\/en\/<\/a><\/p>\n

\"clip_image014\"<\/a><\/p>\n

\"clip_image015\"<\/a><\/p>\n

Calcul de la position du soleil :<\/p>\n

\"clip_image017\"<\/a><\/b><\/p>\n

 <\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Hour<\/b><\/td>\nAstronomical altitude<\/b><\/td>\nApparent altitude<\/b><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Azimuth\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 0:00:00<\/td>\n-7.729\u00b0<\/td>\n<\/td>\n357.348\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 1:00:00<\/td>\n-6.557\u00b0<\/td>\n<\/td>\n16.081\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 2:00:00<\/td>\n-2.319\u00b0<\/td>\n<\/td>\n33.501\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 3:00:00<\/td>\n-5.665\u00b0<\/td>\n<\/td>\n48.840\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 4:00:00<\/td>\n-7.338\u00b0<\/td>\n<\/td>\n62.213\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 5:00:00<\/td>\n-7.964\u00b0<\/td>\n<\/td>\n74.171\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 6:00:00<\/td>\n\u00a0 1.972\u00b0<\/td>\n\u00a0 2.255\u00b0<\/td>\n85.379\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 7:00:00<\/td>\n12.065\u00b0<\/td>\n12.138\u00b0<\/td>\n96.514\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 8:00:00<\/td>\n21.925\u00b0<\/td>\n21.964\u00b0<\/td>\n108.294\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 9:00:00<\/td>\n31.085\u00b0<\/td>\n31.110\u00b0<\/td>\n121.537\u00b0<\/td>\n<\/tr>\n
\u00a0 10:00:00<\/td>\n38.902\u00b0<\/td>\n38.920\u00b0<\/td>\n137.148\u00b0<\/td>\n<\/tr>\n
\u00a0 11:00:00<\/td>\n44.492\u00b0<\/td>\n44.507\u00b0<\/td>\n155.790\u00b0<\/td>\n<\/tr>\n
\u00a0 12:00:00<\/td>\n46.869\u00b0<\/td>\n46.883\u00b0<\/td>\n176.995\u00b0<\/td>\n<\/tr>\n
\u00a0 13:00:00<\/td>\n45.475\u00b0<\/td>\n45.490\u00b0<\/td>\n198.570\u00b0<\/td>\n<\/tr>\n
\u00a0 14:00:00<\/td>\n40.648\u00b0<\/td>\n40.665\u00b0<\/td>\n218.012\u00b0<\/td>\n<\/tr>\n
\u00a0 15:00:00<\/td>\n33.322\u00b0<\/td>\n33.345\u00b0<\/td>\n234.390\u00b0<\/td>\n<\/tr>\n
\u00a0 16:00:00<\/td>\n24.438\u00b0<\/td>\n24.472\u00b0<\/td>\n248.169\u00b0<\/td>\n<\/tr>\n
\u00a0 17:00:00<\/td>\n14.699\u00b0<\/td>\n14.758\u00b0<\/td>\n260.242\u00b0<\/td>\n<\/tr>\n
\u00a0 18:00:00<\/td>\n\u00a0 4.607\u00b0<\/td>\n\u00a0 4.776\u00b0<\/td>\n271.459\u00b0<\/td>\n<\/tr>\n
\u00a0 19:00:00<\/td>\n-5.437\u00b0<\/td>\n<\/td>\n282.560\u00b0<\/td>\n<\/tr>\n
\u00a0 20:00:00<\/td>\n-5.042\u00b0<\/td>\n<\/td>\n294.231\u00b0<\/td>\n<\/tr>\n
\u00a0 21:00:00<\/td>\n-3.753\u00b0<\/td>\n<\/td>\n307.146\u00b0<\/td>\n<\/tr>\n
\u00a0 22:00:00<\/td>\n-0.984\u00b0<\/td>\n<\/td>\n321.920\u00b0<\/td>\n<\/tr>\n
\u00a0 23:00:00<\/td>\n-6.010\u00b0<\/td>\n<\/td>\n338.849\u00b0<\/td>\n<\/tr>\n
\u00a0 24:00:00<\/td>\n-8.111\u00b0<\/td>\n<\/td>\n357.445\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Dans la cadre : donn\u00e9es exploitables.<\/p>\n\n\n\n
\n

Verification avec le NOAA Earth System Research Laboratory<\/h3>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

http:\/\/www.esrl.noaa.gov\/gmd\/grad\/solcalc\/<\/a><\/p>\n

\"clip_image019\"<\/a><\/p>\n\n\n\n
\n

V\u00e9rification bLENDER – SUNPOSITION<\/h3>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

http:\/\/wiki.blender.org\/index.php\/Extensions:2.6\/Py\/Scripts\/3D_interaction\/Sun_Position<\/a><\/p>\n

Le plugin Sunposition () d\u00e9velopp\u00e9 pour Blender donne des valeurs de position du soleil et permet de calculer la course solaire et les analemmes. Les donn\u00e9es soumises donnent des r\u00e9sultats justes :<\/p>\n

\"clip_image020\"<\/a><\/p>\n

Calcul de l\u2019analemme<\/p>\n

\"clip_image022\"<\/a><\/p>\n

Figuration de l\u2019\u00e9cliptique<\/p>\n

\"clip_image024\"<\/a><\/p>\n\n\n\n
\n

V\u00e9rification 3dsmax 2015<\/h3>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\"clip_image025\"<\/a> Les donn\u00e9es Azimuth et Altitude correspondent \u00e0 la simplification pr\u00e8s.<\/p>\n

On remarque d\u00e8s la mise en place que les coordonn\u00e9es correspondent.<\/p>\n

Mise en place :<\/p>\n

\"clip_image027\"<\/a><\/p>\n

Un petit cercle est cr\u00e9\u00e9 en attachement \u00e0 l\u2019objet solaire et une copie de ce cercle est effectu\u00e9e pour chaque heure servant ainsi de rep\u00e8re visuel. La trajectoire est ensuite convertie en spline pour mat\u00e9rialiser la course du soleil le 10 septembre 2014 \u00e0 Gavrinis.<\/p>\n

Export du mod\u00e8le dans Sketchup pour v\u00e9rification des angles.<\/p>\n\n\n\n
\n

V\u00e9rification dans Sketchup<\/h3>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\"clip_image028\"<\/a><\/p>\n

V\u00e9rification visuelle :<\/p>\n

Construction de la course solaire avec SunTools :<\/p>\n

http:\/\/tx.technion.ac.il\/~arrguedi\/SunTools\/dwnld_after_reg\/STdwnld.htm<\/a><\/p>\n

Suntools utilise les calculs du moteur de Sketchup.<\/p>\n

\"clip_image030\"<\/a><\/p>\n

V\u00e9rification des positions angulaires :<\/p>\n

Mise en correspondance du mod\u00e8le 3dsmax et du mod\u00e8le Sketchup. Pas de soucis :<\/p>\n

\"clip_image032\"<\/a><\/p>\n

Le calcul de 3Dsmax est celui o\u00f9 figurent les disques et les heures donnent le r\u00e9sultat de SunTools.<\/p>\n

Le mod\u00e8le Blender SunTools fonctionne \u00e9galement et se superpose aux deux autres mod\u00e8les. En ayant pris 24 sph\u00e8res, les positions de ces derri\u00e8res indiquent les heures.<\/p>\n

\"clip_image034\"<\/a><\/p>\n\n\n\n
\n

V\u00e9rification dans Rhino5<\/h3>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Les r\u00e9sultats dans Rhino correspondent \u00e0 ceux produits par Almsun et 3Dsmax<\/p>\n

\"clip_image035\"<\/a><\/p>\n\n\n\n
\n

Expression des r\u00e9sultats de Rhino dans Grasshopper<\/h3>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Les composants Heliotrope (http:\/\/www.food4rhino.com\/project\/heliotropegh<\/a> ) peuvent fonctionner avec les donn\u00e9es de Rhino ou en \u00e9tant directement aliment\u00e9s. Dans les deux cas, les r\u00e9sultats sont conformes.<\/p>\n

\"clip_image037\"<\/a><\/p>\n

\"clip_image039\"<\/a><\/p>\n

V\u00e9rification dans Grasshopper \/ Ladybug (http:\/\/www.grasshopper3d.com\/group\/ladybug<\/a> )<\/p>\n

Attention pour la suite de la d\u00e9monstration, la date de r\u00e9f\u00e9rence est celle de l\u2019\u00e9quinoxe de septembre : 23\/09 en 2014.<\/p>\n

\"clip_image041\"<\/a><\/p>\n

Tableau du 23\/09\/2014<\/p>\n\n\n\n\n\n\n\n\n\n\n\n
position du soleil<\/td>\nElevation<\/td>\nAzimut<\/td>\nlatitudes<\/td>\nlongitudes<\/td>\n<\/tr>\n
23\/09\/2014\u00a0\u00a0 12:00 | GMT1<\/td>\n40.29\u00b0<\/td>\n158.81\u00b0<\/td>\n47.5718354\u00b0 N<\/td>\n2.8986525\u00b0 W<\/td>\n<\/tr>\n
cr\u00e9puscule<\/td>\nSunrise<\/td>\nSunset<\/td>\nAzimut Sunrise<\/td>\nAzimut Sunset<\/td>\n<\/tr>\n
cr\u00e9puscule -0.833\u00b0<\/td>\n06:59:23<\/td>\n19:07:44<\/td>\n89.17\u00b0<\/td>\n270.53\u00b0<\/td>\n<\/tr>\n
Le cr\u00e9puscule civil -6\u00b0<\/td>\n06:28:38<\/td>\n19:38:21<\/td>\n83.47\u00b0<\/td>\n276.2\u00b0<\/td>\n<\/tr>\n
Le cr\u00e9puscule nautique -12\u00b0<\/td>\n05:52:27<\/td>\n20:14:24<\/td>\n76.61\u00b0<\/td>\n283.01\u00b0<\/td>\n<\/tr>\n
cr\u00e9puscule astronomique -18\u00b0<\/td>\n05:15:11<\/td>\n20:51:30<\/td>\n69.22\u00b0<\/td>\n290.34\u00b0<\/td>\n<\/tr>\n
jour<\/td>\nhh:mm:ss<\/td>\ndiff. dd+1<\/td>\ndiff. dd-1<\/td>\nmidi<\/td>\n<\/tr>\n
23\/09\/2014<\/td>\n12:08:21<\/td>\n-00:03:25<\/td>\n00:03:24<\/td>\n13:03:33<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Extraction du test pour midi :<\/p>\n\n\n\n
12:00:00<\/td>\n40.29\u00b0<\/td>\n158.81\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Les valeurs sont similaires dans Rhino.<\/p>\n

\"clip_image042\"<\/a><\/p>\n

\"clip_image043\"<\/a><\/p>\n

V\u00e9rification des donn\u00e9es dans Ladybug<\/p>\n

Renseignement du site :<\/p>\n

\"clip_image044\"<\/a><\/p>\n

L\u2019exploration des r\u00e9sultats pour la journ\u00e9e du 23\/09 donne dans Ladubug les r\u00e9sultats suivants :<\/p>\n

\"clip_image046\"<\/a><\/p>\n

A comparer avec le tableau de valeur suivant :<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Date:<\/td>\n23\/09\/2014 | GMT1<\/td>\n<\/tr>\n
coordonner:<\/td>\n47.5718354, -2.8986525<\/td>\n<\/tr>\n
emplacement:<\/td>\n6230 \u00cele de la Jument, 56640 Arzon, France<\/td>\n<\/tr>\n
heure<\/td>\nElevation<\/td>\nAzimut<\/td>\n<\/tr>\n
06:59:23<\/td>\n-0.833\u00b0<\/td>\n89.17\u00b0<\/td>\n<\/tr>\n
7:00:00<\/td>\n-0.73\u00b0<\/td>\n89.28\u00b0<\/td>\n<\/tr>\n
8:00:00<\/td>\n9.33\u00b0<\/td>\n100.46\u00b0<\/td>\n<\/tr>\n
9:00:00<\/td>\n19.01\u00b0<\/td>\n112.3\u00b0<\/td>\n<\/tr>\n
10:00:00<\/td>\n27.85\u00b0<\/td>\n125.54\u00b0<\/td>\n<\/tr>\n
11:00:00<\/td>\n35.22\u00b0<\/td>\n140.91\u00b0<\/td>\n<\/tr>\n
12:00:00<\/td>\n40.29\u00b0<\/td>\n158.81\u00b0<\/td>\n<\/tr>\n
13:00:00<\/td>\n42.26\u00b0<\/td>\n178.65\u00b0<\/td>\n<\/tr>\n
14:00:00<\/td>\n40.72\u00b0<\/td>\n198.62\u00b0<\/td>\n<\/tr>\n
15:00:00<\/td>\n35.99\u00b0<\/td>\n216.82\u00b0<\/td>\n<\/tr>\n
16:00:00<\/td>\n28.85\u00b0<\/td>\n232.49\u00b0<\/td>\n<\/tr>\n
17:00:00<\/td>\n20.15\u00b0<\/td>\n245.95\u00b0<\/td>\n<\/tr>\n
18:00:00<\/td>\n10.53\u00b0<\/td>\n257.9\u00b0<\/td>\n<\/tr>\n
19:00:00<\/td>\n0.47\u00b0<\/td>\n269.11\u00b0<\/td>\n<\/tr>\n
19:07:44<\/td>\n-0.833\u00b0<\/td>\n270.53\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Les r\u00e9sultats sont conformes. A noter que la version 0.0.58 de Ladybug a corrig\u00e9 un bug qui donnait les r\u00e9sultats faux.<\/p>\n

Nous avons maintenant les bases v\u00e9rifi\u00e9es pour pouvoir effectuer notre propre montage.<\/p>\n

Motage g\u00e9om\u00e9trique solaire<\/p>\n

\"clip_image048\"<\/a><\/p>\n

\"clip_image050\"<\/a><\/p>\n

\"clip_image052\"<\/a><\/p>\n

\"clip_image054\"<\/a><\/p>\n

Construction des positions de l\u2019\u00e9quinoxe d\u2019automne de 2014<\/h4>\n

\"clip_image056\"<\/a><\/p>\n

\"clip_image058\"<\/a><\/p>\n

\"clip_image060\"<\/a><\/p>\n\n\n\n
\n

Simulation pour l\u2019Equinoxe<\/h3>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Donn\u00e9es \u00e9quinoxe en 2014 : Date : 2014. 9.23<\/b><\/h4>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Hour<\/b><\/td>\nAstronomical altitude<\/b><\/td>\nApparent altitude<\/b><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Azimuth\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 0:00:00<\/td>\n-0.366\u00b0<\/td>\n<\/td>\n338.734\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 1:00:00<\/td>\n-2.380\u00b0<\/td>\n<\/td>\n358.594\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 2:00:00<\/td>\n-0.876\u00b0<\/td>\n<\/td>\n18.612\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 3:00:00<\/td>\n-6.168\u00b0<\/td>\n<\/td>\n36.866\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 4:00:00<\/td>\n-9.055\u00b0<\/td>\n<\/td>\n52.586\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 5:00:00<\/td>\n-0.368\u00b0<\/td>\n<\/td>\n66.078\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 6:00:00<\/td>\n-0.762\u00b0<\/td>\n<\/td>\n78.061\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 7:00:00<\/td>\n-0.728\u00b0<\/td>\n-0.126\u00b0<\/td>\n89.288\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 8:00:00<\/td>\n\u00a0 9.330\u00b0<\/td>\n\u00a0 9.423\u00b0<\/td>\n100.467\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 9:00:00<\/td>\n19.016\u00b0<\/td>\n19.061\u00b0<\/td>\n112.303\u00b0<\/td>\n<\/tr>\n
\u00a0 10:00:00<\/td>\n27.856\u00b0<\/td>\n27.885\u00b0<\/td>\n125.541\u00b0<\/td>\n<\/tr>\n
\u00a0 11:00:00<\/td>\n35.220\u00b0<\/td>\n35.241\u00b0<\/td>\n140.914\u00b0<\/td>\n<\/tr>\n
\u00a0 12:00:00<\/td>\n40.297\u00b0<\/td>\n40.315\u00b0<\/td>\n158.816\u00b0<\/td>\n<\/tr>\n
\u00a0 13:00:00<\/td>\n42.266\u00b0<\/td>\n42.282\u00b0<\/td>\n178.655\u00b0<\/td>\n<\/tr>\n
\u00a0 14:00:00<\/td>\n40.723\u00b0<\/td>\n40.740\u00b0<\/td>\n198.627\u00b0<\/td>\n<\/tr>\n
\u00a0 15:00:00<\/td>\n35.987\u00b0<\/td>\n36.008\u00b0<\/td>\n216.826\u00b0<\/td>\n<\/tr>\n
\u00a0 16:00:00<\/td>\n28.853\u00b0<\/td>\n28.881\u00b0<\/td>\n232.499\u00b0<\/td>\n<\/tr>\n
\u00a0 17:00:00<\/td>\n20.149\u00b0<\/td>\n20.191\u00b0<\/td>\n245.955\u00b0<\/td>\n<\/tr>\n
\u00a0 18:00:00<\/td>\n10.525\u00b0<\/td>\n10.608\u00b0<\/td>\n257.909\u00b0<\/td>\n<\/tr>\n
\u00a0 19:00:00<\/td>\n\u00a0 0.471\u00b0<\/td>\n\u00a0 0.890\u00b0<\/td>\n269.112\u00b0<\/td>\n<\/tr>\n
\u00a0 20:00:00<\/td>\n-9.614\u00b0<\/td>\n<\/td>\n280.270\u00b0<\/td>\n<\/tr>\n
\u00a0 21:00:00<\/td>\n-9.335\u00b0<\/td>\n<\/td>\n292.092\u00b0<\/td>\n<\/tr>\n
\u00a0 22:00:00<\/td>\n-8.219\u00b0<\/td>\n<\/td>\n305.329\u00b0<\/td>\n<\/tr>\n
\u00a0 23:00:00<\/td>\n-5.635\u00b0<\/td>\n<\/td>\n320.733\u00b0<\/td>\n<\/tr>\n
\u00a0 24:00:00<\/td>\n-0.765\u00b0<\/td>\n<\/td>\n338.720\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Donn\u00e9es \u00e9quinoxe en -3700 : Date : -3700.10.20<\/b><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Hour<\/b><\/td>\nAstronomical altitude<\/b><\/td>\nApparent altitude<\/b><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Azimuth\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 0:00:00<\/td>\n-9.463\u00b0<\/td>\n<\/td>\n335.737\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 1:00:00<\/td>\n-2.021\u00b0<\/td>\n<\/td>\n355.294\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 2:00:00<\/td>\n-1.096\u00b0<\/td>\n<\/td>\n15.350\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 3:00:00<\/td>\n-6.882\u00b0<\/td>\n<\/td>\n33.919\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 4:00:00<\/td>\n-0.124\u00b0<\/td>\n<\/td>\n50.019\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 5:00:00<\/td>\n-1.662\u00b0<\/td>\n<\/td>\n63.817\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 6:00:00<\/td>\n-2.182\u00b0<\/td>\n<\/td>\n75.990\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 7:00:00<\/td>\n-2.196\u00b0<\/td>\n<\/td>\n87.289\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 8:00:00<\/td>\n\u00a0 7.884\u00b0<\/td>\n\u00a0 7.993\u00b0<\/td>\n98.429\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 9:00:00<\/td>\n17.667\u00b0<\/td>\n17.716\u00b0<\/td>\n110.109\u00b0<\/td>\n<\/tr>\n
\u00a0 10:00:00<\/td>\n26.695\u00b0<\/td>\n26.726\u00b0<\/td>\n123.071\u00b0<\/td>\n<\/tr>\n
\u00a0 11:00:00<\/td>\n34.369\u00b0<\/td>\n34.392\u00b0<\/td>\n138.071\u00b0<\/td>\n<\/tr>\n
\u00a0 12:00:00<\/td>\n39.900\u00b0<\/td>\n39.918\u00b0<\/td>\n155.608\u00b0<\/td>\n<\/tr>\n
\u00a0 13:00:00<\/td>\n42.434\u00b0<\/td>\n42.450\u00b0<\/td>\n175.297\u00b0<\/td>\n<\/tr>\n
\u00a0 14:00:00<\/td>\n41.463\u00b0<\/td>\n41.480\u00b0<\/td>\n195.474\u00b0<\/td>\n<\/tr>\n
\u00a0 15:00:00<\/td>\n37.190\u00b0<\/td>\n37.210\u00b0<\/td>\n214.111\u00b0<\/td>\n<\/tr>\n
\u00a0 16:00:00<\/td>\n30.374\u00b0<\/td>\n30.400\u00b0<\/td>\n230.229\u00b0<\/td>\n<\/tr>\n
\u00a0 17:00:00<\/td>\n21.864\u00b0<\/td>\n21.902\u00b0<\/td>\n244.017\u00b0<\/td>\n<\/tr>\n
\u00a0 18:00:00<\/td>\n12.345\u00b0<\/td>\n12.416\u00b0<\/td>\n256.169\u00b0<\/td>\n<\/tr>\n
\u00a0 19:00:00<\/td>\n\u00a0 2.329\u00b0<\/td>\n\u00a0 2.590\u00b0<\/td>\n267.446\u00b0<\/td>\n<\/tr>\n
\u00a0 20:00:00<\/td>\n-7.776\u00b0<\/td>\n<\/td>\n278.561\u00b0<\/td>\n<\/tr>\n
\u00a0 21:00:00<\/td>\n-7.579\u00b0<\/td>\n<\/td>\n290.218\u00b0<\/td>\n<\/tr>\n
\u00a0 22:00:00<\/td>\n-6.628\u00b0<\/td>\n<\/td>\n303.158\u00b0<\/td>\n<\/tr>\n
\u00a0 23:00:00<\/td>\n-4.323\u00b0<\/td>\n<\/td>\n318.134\u00b0<\/td>\n<\/tr>\n
<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\"clip_image062\"<\/a><\/p>\n

Date : -3700. 1.17<\/b><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Hour<\/b><\/td>\nAstronomical altitude<\/b><\/td>\nApparent altitude<\/b><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Azimuth\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 0:00:00<\/td>\n-1.291\u00b0<\/td>\n<\/td>\n317.625\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 1:00:00<\/td>\n-6.060\u00b0<\/td>\n<\/td>\n346.918\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 2:00:00<\/td>\n-5.386\u00b0<\/td>\n<\/td>\n20.568\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 3:00:00<\/td>\n-9.642\u00b0<\/td>\n<\/td>\n47.821\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 4:00:00<\/td>\n-1.112\u00b0<\/td>\n<\/td>\n66.842\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 5:00:00<\/td>\n-1.404\u00b0<\/td>\n<\/td>\n80.882\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 6:00:00<\/td>\n-1.319\u00b0<\/td>\n<\/td>\n92.415\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 7:00:00<\/td>\n-1.307\u00b0<\/td>\n<\/td>\n102.848\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 8:00:00<\/td>\n-1.694\u00b0<\/td>\n<\/td>\n113.022\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 9:00:00<\/td>\n-2.791\u00b0<\/td>\n<\/td>\n123.510\u00b0<\/td>\n<\/tr>\n
\u00a0 10:00:00<\/td>\n\u00a0 5.054\u00b0<\/td>\n\u00a0 5.211\u00b0<\/td>\n134.734\u00b0<\/td>\n<\/tr>\n
\u00a0 11:00:00<\/td>\n11.441\u00b0<\/td>\n11.518\u00b0<\/td>\n146.970\u00b0<\/td>\n<\/tr>\n
\u00a0 12:00:00<\/td>\n15.939\u00b0<\/td>\n15.994\u00b0<\/td>\n160.278\u00b0<\/td>\n<\/tr>\n
\u00a0 13:00:00<\/td>\n18.159\u00b0<\/td>\n18.207\u00b0<\/td>\n174.406\u00b0<\/td>\n<\/tr>\n
\u00a0 14:00:00<\/td>\n17.876\u00b0<\/td>\n17.924\u00b0<\/td>\n188.797\u00b0<\/td>\n<\/tr>\n
\u00a0 15:00:00<\/td>\n15.120\u00b0<\/td>\n15.178\u00b0<\/td>\n202.781\u00b0<\/td>\n<\/tr>\n
\u00a0 16:00:00<\/td>\n10.163\u00b0<\/td>\n10.249\u00b0<\/td>\n215.859\u00b0<\/td>\n<\/tr>\n
\u00a0 17:00:00<\/td>\n\u00a0 3.413\u00b0<\/td>\n\u00a0 3.621\u00b0<\/td>\n227.855\u00b0<\/td>\n<\/tr>\n
\u00a0 18:00:00<\/td>\n-4.701\u00b0<\/td>\n<\/td>\n238.884\u00b0<\/td>\n<\/tr>\n
\u00a0 19:00:00<\/td>\n-3.791\u00b0<\/td>\n<\/td>\n249.261\u00b0<\/td>\n<\/tr>\n
\u00a0 20:00:00<\/td>\n-3.520\u00b0<\/td>\n<\/td>\n259.437\u00b0<\/td>\n<\/tr>\n
\u00a0 21:00:00<\/td>\n-3.579\u00b0<\/td>\n<\/td>\n270.028\u00b0<\/td>\n<\/tr>\n
\u00a0 22:00:00<\/td>\n-3.625\u00b0<\/td>\n<\/td>\n281.971\u00b0<\/td>\n<\/tr>\n
\u00a0 23:00:00<\/td>\n-3.160\u00b0<\/td>\n<\/td>\n296.861\u00b0<\/td>\n<\/tr>\n
<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Date : 2014.12.22<\/b><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Hour<\/b><\/td>\nAstronomical altitude<\/b><\/td>\nApparent altitude<\/b><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Azimuth\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 0:00:00<\/td>\n-2.134\u00b0<\/td>\n<\/td>\n323.910\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 1:00:00<\/td>\n-5.783\u00b0<\/td>\n<\/td>\n354.473\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 2:00:00<\/td>\n-3.875\u00b0<\/td>\n<\/td>\n26.869\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 3:00:00<\/td>\n-7.407\u00b0<\/td>\n<\/td>\n51.913\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 4:00:00<\/td>\n-8.575\u00b0<\/td>\n<\/td>\n69.578\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 5:00:00<\/td>\n-8.759\u00b0<\/td>\n<\/td>\n82.969\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 6:00:00<\/td>\n-8.661\u00b0<\/td>\n<\/td>\n94.231\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 7:00:00<\/td>\n-8.696\u00b0<\/td>\n<\/td>\n104.601\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 8:00:00<\/td>\n-9.184\u00b0<\/td>\n<\/td>\n114.849\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 9:00:00<\/td>\n-0.447\u00b0<\/td>\n\u00a0 0.105\u00b0<\/td>\n125.517\u00b0<\/td>\n<\/tr>\n
\u00a0 10:00:00<\/td>\n\u00a0 7.154\u00b0<\/td>\n\u00a0 7.272\u00b0<\/td>\n137.005\u00b0<\/td>\n<\/tr>\n
\u00a0 11:00:00<\/td>\n13.204\u00b0<\/td>\n13.270\u00b0<\/td>\n149.559\u00b0<\/td>\n<\/tr>\n
\u00a0 12:00:00<\/td>\n17.262\u00b0<\/td>\n17.313\u00b0<\/td>\n163.183\u00b0<\/td>\n<\/tr>\n
\u00a0 13:00:00<\/td>\n18.958\u00b0<\/td>\n19.004\u00b0<\/td>\n177.545\u00b0<\/td>\n<\/tr>\n
\u00a0 14:00:00<\/td>\n18.113\u00b0<\/td>\n18.161\u00b0<\/td>\n192.026\u00b0<\/td>\n<\/tr>\n
\u00a0 15:00:00<\/td>\n14.818\u00b0<\/td>\n14.877\u00b0<\/td>\n205.954\u00b0<\/td>\n<\/tr>\n
\u00a0 16:00:00<\/td>\n\u00a0 9.392\u00b0<\/td>\n\u00a0 9.485\u00b0<\/td>\n218.884\u00b0<\/td>\n<\/tr>\n
\u00a0 17:00:00<\/td>\n\u00a0 2.266\u00b0<\/td>\n\u00a0 2.530\u00b0<\/td>\n230.715\u00b0<\/td>\n<\/tr>\n
\u00a0 18:00:00<\/td>\n-6.131\u00b0<\/td>\n<\/td>\n241.621\u00b0<\/td>\n<\/tr>\n
\u00a0 19:00:00<\/td>\n-5.418\u00b0<\/td>\n<\/td>\n251.959\u00b0<\/td>\n<\/tr>\n
\u00a0 20:00:00<\/td>\n-5.265\u00b0<\/td>\n<\/td>\n262.217\u00b0<\/td>\n<\/tr>\n
\u00a0 21:00:00<\/td>\n-5.357\u00b0<\/td>\n<\/td>\n273.070\u00b0<\/td>\n<\/tr>\n
\u00a0 22:00:00<\/td>\n-5.325\u00b0<\/td>\n<\/td>\n285.560\u00b0<\/td>\n<\/tr>\n
\u00a0 23:00:00<\/td>\n-4.599\u00b0<\/td>\n<\/td>\n301.467\u00b0<\/td>\n<\/tr>\n
\u00a0 24:00:00<\/td>\n-2.080\u00b0<\/td>\n<\/td>\n323.693\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Date : 2014. 6.21<\/b><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Hour<\/b><\/td>\nAstronomical altitude<\/b><\/td>\nApparent altitude<\/b><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Azimuth\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 0:00:00<\/td>\n-7.106\u00b0<\/td>\n<\/td>\n342.447\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 1:00:00<\/td>\n-8.931\u00b0<\/td>\n<\/td>\n356.788\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 2:00:00<\/td>\n-8.218\u00b0<\/td>\n<\/td>\n11.282\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 3:00:00<\/td>\n-5.043\u00b0<\/td>\n<\/td>\n25.255\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 4:00:00<\/td>\n-9.716\u00b0<\/td>\n<\/td>\n38.244\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 5:00:00<\/td>\n-2.665\u00b0<\/td>\n<\/td>\n50.131\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 6:00:00<\/td>\n\u00a0 5.679\u00b0<\/td>\n\u00a0 5.822\u00b0<\/td>\n61.079\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 7:00:00<\/td>\n14.930\u00b0<\/td>\n14.989\u00b0<\/td>\n71.437\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 8:00:00<\/td>\n24.758\u00b0<\/td>\n24.792\u00b0<\/td>\n81.686\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 9:00:00<\/td>\n34.848\u00b0<\/td>\n34.870\u00b0<\/td>\n92.490\u00b0<\/td>\n<\/tr>\n
\u00a0 10:00:00<\/td>\n44.836\u00b0<\/td>\n44.851\u00b0<\/td>\n104.864\u00b0<\/td>\n<\/tr>\n
\u00a0 11:00:00<\/td>\n54.167\u00b0<\/td>\n54.178\u00b0<\/td>\n120.542\u00b0<\/td>\n<\/tr>\n
\u00a0 12:00:00<\/td>\n61.780\u00b0<\/td>\n61.788\u00b0<\/td>\n142.378\u00b0<\/td>\n<\/tr>\n
\u00a0 13:00:00<\/td>\n65.716\u00b0<\/td>\n65.723\u00b0<\/td>\n172.533\u00b0<\/td>\n<\/tr>\n
\u00a0 14:00:00<\/td>\n64.132\u00b0<\/td>\n64.139\u00b0<\/td>\n205.148\u00b0<\/td>\n<\/tr>\n
\u00a0 15:00:00<\/td>\n57.863\u00b0<\/td>\n57.872\u00b0<\/td>\n230.698\u00b0<\/td>\n<\/tr>\n
\u00a0 16:00:00<\/td>\n49.119\u00b0<\/td>\n49.132\u00b0<\/td>\n248.705\u00b0<\/td>\n<\/tr>\n
\u00a0 17:00:00<\/td>\n39.334\u00b0<\/td>\n39.353\u00b0<\/td>\n262.274\u00b0<\/td>\n<\/tr>\n
\u00a0 18:00:00<\/td>\n29.238\u00b0<\/td>\n29.266\u00b0<\/td>\n273.621\u00b0<\/td>\n<\/tr>\n
\u00a0 19:00:00<\/td>\n19.254\u00b0<\/td>\n19.299\u00b0<\/td>\n284.020\u00b0<\/td>\n<\/tr>\n
\u00a0 20:00:00<\/td>\n\u00a0 9.707\u00b0<\/td>\n\u00a0 9.796\u00b0<\/td>\n294.261\u00b0<\/td>\n<\/tr>\n
\u00a0 21:00:00<\/td>\n\u00a0 0.915\u00b0<\/td>\n\u00a0 1.285\u00b0<\/td>\n304.895\u00b0<\/td>\n<\/tr>\n
\u00a0 22:00:00<\/td>\n-6.763\u00b0<\/td>\n<\/td>\n316.331\u00b0<\/td>\n<\/tr>\n
\u00a0 23:00:00<\/td>\n-2.913\u00b0<\/td>\n<\/td>\n328.825\u00b0<\/td>\n<\/tr>\n
\u00a0 24:00:00<\/td>\n-7.095\u00b0<\/td>\n<\/td>\n342.396\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Date : -3700. 7.23<\/b><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Hour<\/b><\/td>\nAstronomical altitude<\/b><\/td>\nApparent altitude<\/b><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Azimuth\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 0:00:00<\/td>\n-6.823\u00b0<\/td>\n<\/td>\n344.261\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 1:00:00<\/td>\n-8.338\u00b0<\/td>\n<\/td>\n358.533\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 2:00:00<\/td>\n-7.332\u00b0<\/td>\n<\/td>\n12.873\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 3:00:00<\/td>\n-3.908\u00b0<\/td>\n<\/td>\n26.636\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 4:00:00<\/td>\n-8.393\u00b0<\/td>\n<\/td>\n39.408\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 5:00:00<\/td>\n-1.208\u00b0<\/td>\n<\/td>\n51.105\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 6:00:00<\/td>\n\u00a0 7.223\u00b0<\/td>\n\u00a0 7.340\u00b0<\/td>\n61.909\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 7:00:00<\/td>\n16.528\u00b0<\/td>\n16.581\u00b0<\/td>\n72.176\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 8:00:00<\/td>\n26.384\u00b0<\/td>\n26.415\u00b0<\/td>\n82.398\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 9:00:00<\/td>\n36.478\u00b0<\/td>\n36.499\u00b0<\/td>\n93.261\u00b0<\/td>\n<\/tr>\n
\u00a0 10:00:00<\/td>\n46.441\u00b0<\/td>\n46.456\u00b0<\/td>\n105.844\u00b0<\/td>\n<\/tr>\n
\u00a0 11:00:00<\/td>\n55.687\u00b0<\/td>\n55.697\u00b0<\/td>\n122.029\u00b0<\/td>\n<\/tr>\n
\u00a0 12:00:00<\/td>\n63.066\u00b0<\/td>\n63.073\u00b0<\/td>\n144.920\u00b0<\/td>\n<\/tr>\n
\u00a0 13:00:00<\/td>\n66.472\u00b0<\/td>\n66.478\u00b0<\/td>\n176.406\u00b0<\/td>\n<\/tr>\n
\u00a0 14:00:00<\/td>\n64.193\u00b0<\/td>\n64.200\u00b0<\/td>\n209.139\u00b0<\/td>\n<\/tr>\n
\u00a0 15:00:00<\/td>\n57.443\u00b0<\/td>\n57.452\u00b0<\/td>\n233.852\u00b0<\/td>\n<\/tr>\n
\u00a0 16:00:00<\/td>\n48.464\u00b0<\/td>\n48.477\u00b0<\/td>\n251.148\u00b0<\/td>\n<\/tr>\n
\u00a0 17:00:00<\/td>\n38.591\u00b0<\/td>\n38.610\u00b0<\/td>\n264.292\u00b0<\/td>\n<\/tr>\n
\u00a0 18:00:00<\/td>\n28.489\u00b0<\/td>\n28.518\u00b0<\/td>\n275.407\u00b0<\/td>\n<\/tr>\n
\u00a0 19:00:00<\/td>\n18.557\u00b0<\/td>\n18.604\u00b0<\/td>\n285.698\u00b0<\/td>\n<\/tr>\n
\u00a0 20:00:00<\/td>\n\u00a0 9.111\u00b0<\/td>\n\u00a0 9.206\u00b0<\/td>\n295.910\u00b0<\/td>\n<\/tr>\n
\u00a0 21:00:00<\/td>\n\u00a0 0.467\u00b0<\/td>\n\u00a0 0.887\u00b0<\/td>\n306.567\u00b0<\/td>\n<\/tr>\n
\u00a0 22:00:00<\/td>\n-7.012\u00b0<\/td>\n<\/td>\n318.055\u00b0<\/td>\n<\/tr>\n
\u00a0 23:00:00<\/td>\n-2.913\u00b0<\/td>\n<\/td>\n330.598\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Date : -3700. 4.20
\n<\/b><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Hour<\/b><\/td>\nAstronomical altitude<\/b><\/td>\nApparent altitude<\/b><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Azimuth\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 0:00:00<\/td>\n-9.888\u00b0<\/td>\n<\/td>\n334.882\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 1:00:00<\/td>\n-2.550\u00b0<\/td>\n<\/td>\n354.562\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 2:00:00<\/td>\n-1.703\u00b0<\/td>\n<\/td>\n14.809\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 3:00:00<\/td>\n-7.528\u00b0<\/td>\n<\/td>\n33.565\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 4:00:00<\/td>\n-0.776\u00b0<\/td>\n<\/td>\n49.796\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 5:00:00<\/td>\n-2.302\u00b0<\/td>\n<\/td>\n63.667\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 6:00:00<\/td>\n-2.802\u00b0<\/td>\n<\/td>\n75.869\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 7:00:00<\/td>\n-2.793\u00b0<\/td>\n<\/td>\n87.167\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 8:00:00<\/td>\n\u00a0 7.315\u00b0<\/td>\n\u00a0 7.431\u00b0<\/td>\n98.280\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 9:00:00<\/td>\n17.133\u00b0<\/td>\n17.183\u00b0<\/td>\n109.908\u00b0<\/td>\n<\/tr>\n
\u00a0 10:00:00<\/td>\n26.209\u00b0<\/td>\n26.240\u00b0<\/td>\n122.789\u00b0<\/td>\n<\/tr>\n
\u00a0 11:00:00<\/td>\n33.951\u00b0<\/td>\n33.974\u00b0<\/td>\n137.676\u00b0<\/td>\n<\/tr>\n
\u00a0 12:00:00<\/td>\n39.582\u00b0<\/td>\n39.600\u00b0<\/td>\n155.081\u00b0<\/td>\n<\/tr>\n
\u00a0 13:00:00<\/td>\n42.249\u00b0<\/td>\n42.265\u00b0<\/td>\n174.668\u00b0<\/td>\n<\/tr>\n
\u00a0 14:00:00<\/td>\n41.424\u00b0<\/td>\n41.441\u00b0<\/td>\n194.824\u00b0<\/td>\n<\/tr>\n
\u00a0 15:00:00<\/td>\n37.283\u00b0<\/td>\n37.302\u00b0<\/td>\n213.521\u00b0<\/td>\n<\/tr>\n
\u00a0 16:00:00<\/td>\n30.567\u00b0<\/td>\n30.593\u00b0<\/td>\n229.731\u00b0<\/td>\n<\/tr>\n
\u00a0 17:00:00<\/td>\n22.126\u00b0<\/td>\n22.164\u00b0<\/td>\n243.603\u00b0<\/td>\n<\/tr>\n
\u00a0 18:00:00<\/td>\n12.655\u00b0<\/td>\n12.724\u00b0<\/td>\n255.819\u00b0<\/td>\n<\/tr>\n
\u00a0 19:00:00<\/td>\n\u00a0 2.670\u00b0<\/td>\n\u00a0 2.913\u00b0<\/td>\n267.136\u00b0<\/td>\n<\/tr>\n
\u00a0 20:00:00<\/td>\n-7.414\u00b0<\/td>\n<\/td>\n278.271\u00b0<\/td>\n<\/tr>\n
\u00a0 21:00:00<\/td>\n-7.206\u00b0<\/td>\n<\/td>\n289.925\u00b0<\/td>\n<\/tr>\n
\u00a0 22:00:00<\/td>\n-6.254\u00b0<\/td>\n<\/td>\n302.834\u00b0<\/td>\n<\/tr>\n
\u00a0 23:00:00<\/td>\n-3.963\u00b0<\/td>\n<\/td>\n317.749\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Date : 2014. 3.20<\/b><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Hour<\/b><\/td>\nAstronomical altitude<\/b><\/td>\nApparent altitude<\/b><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Azimuth\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 0:00:00<\/td>\n-9.684\u00b0<\/td>\n<\/td>\n333.877\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 1:00:00<\/td>\n-2.523\u00b0<\/td>\n<\/td>\n353.476\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 2:00:00<\/td>\n-1.865\u00b0<\/td>\n<\/td>\n13.756\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 3:00:00<\/td>\n-7.851\u00b0<\/td>\n<\/td>\n32.635\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 4:00:00<\/td>\n-1.213\u00b0<\/td>\n<\/td>\n49.007\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 5:00:00<\/td>\n-2.811\u00b0<\/td>\n<\/td>\n62.988\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 6:00:00<\/td>\n-3.352\u00b0<\/td>\n<\/td>\n75.259\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 7:00:00<\/td>\n-3.359\u00b0<\/td>\n<\/td>\n86.586\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 8:00:00<\/td>\n\u00a0 6.752\u00b0<\/td>\n\u00a0 6.876\u00b0<\/td>\n97.689\u00b0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0 9:00:00<\/td>\n16.594\u00b0<\/td>\n16.646\u00b0<\/td>\n109.269\u00b0<\/td>\n<\/tr>\n
\u00a0 10:00:00<\/td>\n25.722\u00b0<\/td>\n25.754\u00b0<\/td>\n122.060\u00b0<\/td>\n<\/tr>\n
\u00a0 11:00:00<\/td>\n33.553\u00b0<\/td>\n33.576\u00b0<\/td>\n136.815\u00b0<\/td>\n<\/tr>\n
\u00a0 12:00:00<\/td>\n39.319\u00b0<\/td>\n39.338\u00b0<\/td>\n154.074\u00b0<\/td>\n<\/tr>\n
\u00a0 13:00:00<\/td>\n42.166\u00b0<\/td>\n42.183\u00b0<\/td>\n173.563\u00b0<\/td>\n<\/tr>\n
\u00a0 14:00:00<\/td>\n41.536\u00b0<\/td>\n41.553\u00b0<\/td>\n193.734\u00b0<\/td>\n<\/tr>\n
\u00a0 15:00:00<\/td>\n37.563\u00b0<\/td>\n37.583\u00b0<\/td>\n212.543\u00b0<\/td>\n<\/tr>\n
\u00a0 16:00:00<\/td>\n30.969\u00b0<\/td>\n30.994\u00b0<\/td>\n228.889\u00b0<\/td>\n<\/tr>\n
\u00a0 17:00:00<\/td>\n22.606\u00b0<\/td>\n22.643\u00b0<\/td>\n242.872\u00b0<\/td>\n<\/tr>\n
\u00a0 18:00:00<\/td>\n13.179\u00b0<\/td>\n13.246\u00b0<\/td>\n255.157\u00b0<\/td>\n<\/tr>\n
\u00a0 19:00:00<\/td>\n\u00a0 3.214\u00b0<\/td>\n\u00a0 3.431\u00b0<\/td>\n266.504\u00b0<\/td>\n<\/tr>\n
\u00a0 20:00:00<\/td>\n-6.874\u00b0<\/td>\n<\/td>\n277.629\u00b0<\/td>\n<\/tr>\n
\u00a0 21:00:00<\/td>\n-6.692\u00b0<\/td>\n<\/td>\n289.234\u00b0<\/td>\n<\/tr>\n
\u00a0 22:00:00<\/td>\n-5.796\u00b0<\/td>\n<\/td>\n302.053\u00b0<\/td>\n<\/tr>\n
\u00a0 23:00:00<\/td>\n-3.598\u00b0<\/td>\n<\/td>\n316.838\u00b0<\/td>\n<\/tr>\n
\u00a0 24:00:00<\/td>\n-9.329\u00b0<\/td>\n<\/td>\n334.121\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\"clip_image064\"<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Pr\u00e9paration \u00e0 la visualisation graphique des positions solaires, exemple du site de Gavrinis. Situation Site de Gavrinis Latitude : 47\u00b0 34′ 18,7″ NLongitude : 2\u00b0 53′ 54,0″ O Altitude : 0mHauteur de l\u2019observateur : 0,0m Coordonn\u00e9es g\u00e9ocentriques : ro * cos(phi’) = 0.675898695580329 rayon terrestre ro * sin(phi’) = 0.734523537728869 rayon terrestre<\/p>\n","protected":false},"author":2,"featured_media":4516,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,117,14,107,8,174,200],"tags":[308,222,307,69,313,221],"class_list":["post-4434","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-3d","category-archeologie","category-conception","category-gavrinis","category-methodologie","category-simulations","category-solaire","tag-archeologie","tag-equinoxe","tag-gavrinis","tag-simulation-solaire","tag-solaire","tag-solstice"],"_links":{"self":[{"href":"https:\/\/www.keris-studio.fr\/blog\/index.php?rest_route=\/wp\/v2\/posts\/4434","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.keris-studio.fr\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.keris-studio.fr\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.keris-studio.fr\/blog\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.keris-studio.fr\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4434"}],"version-history":[{"count":5,"href":"https:\/\/www.keris-studio.fr\/blog\/index.php?rest_route=\/wp\/v2\/posts\/4434\/revisions"}],"predecessor-version":[{"id":4518,"href":"https:\/\/www.keris-studio.fr\/blog\/index.php?rest_route=\/wp\/v2\/posts\/4434\/revisions\/4518"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.keris-studio.fr\/blog\/index.php?rest_route=\/wp\/v2\/media\/4516"}],"wp:attachment":[{"href":"https:\/\/www.keris-studio.fr\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4434"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.keris-studio.fr\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4434"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.keris-studio.fr\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4434"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}