Lorsque Polaris n'est pas visible

Bien qu'elle soit assez haute dans le ciel sous nos latitudes, il peut arriver que l'étoile polaire soit invisible : Présence d'obstacles ou de nuages, observation de jour ... Dans ces conditions, il est encore possible de faire une mise en station plus ou moins précise. Souvenons nous que le tube du télescope doit être dirigé vers le nord et incliné au dessus de l'horizontale, de la latitude du lieu d'observation.

Orientation au nord

L'orientation au nord peut être faite avec une simple boussole. Toutefois, les boussoles ordinaires sont trop petites pour permettre une lecture précise et la proximité des masses magnétiques du télescope dévient les lignes du champ magnétique terrestre. Voici quelques suggestions pour améliorer la précision de l'orientation.

  • Si l'espace est dégagé en direction du nord, on peut se placer 1 à 2 mètres au sud du télescope et faire une visée en direction du nord avec la boussole. Les boussoles de marche sont faites pour cela. Un miroir permet de lire les indications de la boussole en même temps que l'on vise au loin. On repère donc un point éloigné en direction du nord vrai (géographique) en tenant compte de la déclinaison magnétique. Il suffit ensuite de tourner l'axe d'azimut pour viser le même point avec l'instrument. 

  • Si l'espace est dégagé en direction du sud, on peut se placer 1 à 2 mètres au nord du télescope et faire une visée en direction du sud avec la boussole. On repère donc un point éloigné en direction du sud. Il suffit ensuite de régler la déclinaison sur -90° et de tourner l'axe d'azimut pour viser le même point avec l'instrument.

  • Si l'espace n'est pas suffisamment dégagé, on peut se placer quelques mètres au sud du télescope et faire en sorte que l'axe du tube soit dans le prolongement de l'aiguille de la boussole.

  • Ces deux méthodes ont un même inconvénient, l'imprécision d'une lecture d'angle sur un cercle de moins de 10cm de diamètre. On peut utiliser diverses astuces pour trouver la direction nord-sud de manière assez précise. En voici une : On détermine l'instant précis où il sera midi à l'heure solaire au point d'observation. Ceci peut se faire par calcul. Ce n'est pas ici l'endroit pour expliquer comment faire. On peut aussi utiliser un logiciel comme cartes du ciel ou Stellarium qui sont gratuits. On met en place un fil à plomb aussi long que possible. À midi solaire, l'ombre du fil matérialise au sol (s'il est plan et horizontal) la direction nord-sud . Sinon utiliser 2 fils à plomb bien espacés. L'ombre de celui qui est au sud doit tomber sur l'autre fil. On peut aussi utiliser un long tube muni d'un morceau de carton d'environ 10 x 10 cm et percé au diamètre du tube enfilé à une extrémité et orienté (le tube) de telle sorte que la tache lumineuse projetée sur un carton blanc perpendiculaire à l'axe du tube apparaisse bien circulaire au milieu de l'ombre du carton.

  • Notez qu'il est préférable d'opérer en hiver car les ombres sont plus longues.
  • Ne jamais fixer le soleil même avec deux paires de lunettes solaires l'une sur l'autre. Les lunettes n'arrêtent pas les infrarouges qui sont en très grande quantité mais indécernables. Ils chauffent la rétine qui ne perçoit pas les variations de température. Ceux qui pensent que ça ne leur fait rien auront peut être une dégénérescence maculaire prématurée … dans 20 ans.

Réglage de latitude


Ci-contre: figure 1.

L'inclinaison au dessus de l'horizontale peut être maîtrisée à l'aide d'un niveau à bulle. Considérons un triangle rectangle ABC. A est le sommet de l'angle droit et l'angle BCA est égal à la latitude l, du lieu d'observation. Si on place ce triangle dans un plan vertical et qu'on l'oriente de telle façon que AC soit horizontal et B sous AC, alors l'hypoténuse sera inclinée d'un angle l, au dessus de l'horizontale. L'idée est donc de découper dans une plaque de contre plaqué un tel triangle aussi grand que possible. On pose l'hypoténuse sur le dessus du tube parallèlement à son axe ; on place un niveau sur l'arête AC et on règle la latitude jusqu'à ce que la bulle soit correctement positionnée entre les deux traits.

Une autre solution consiste à utiliser un rapporteur de hauteur (inclinomètre) tel celui que je décrit dans cet article. en BIII ou un inclinomètre du commerce. On en trouve à une vingtaine d'€ avec une précision de 0.1°.

La mise en station est terminée.

Voici comment calculer les cotés du triangle : Mesurer la distance d, disponible pour poser l'hypoténuse sur le tube. En France les latitudes sont toujours re lativement proches de 45°. Dans ce cas, les longueurs des cotés AB et AC sont proches de BC / √ 2 . On prendra AC = d / 1,5 puis AB = AC x tg(l). Ex la longueur libre sur le tube est de 503mm et la latitude l = 47°40' = 47,75°. On arrondi d à 500. On a 500 / 1,5 = 333,3... On arrondi en dessous, à 300mm pour AC. Tangente 47,75° = 1,1 ; on a donc AB = 300 x 1,1 = 330mm.

NB : Une bonne précision suppose une exécution parfaite du traçage puis du sciage du triangle. Si la ligne BC fait une bosse même légère, on aura du mal à placer correctement le triangle sur le tube. Par contre si BC creuse plus ou moins mais que les points B et C sont bien exécutés, alors tout ira parfaitement. D'ailleurs, on sera souvent amené à faire une découpe pour passer par dessus le collier de serrage du tube. cf figure 1

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    • SELECT `a`.`id`,`a`.`title`,`a`.`catid`,`a`.`language`, CASE WHEN CHAR_LENGTH(`a`.`alias`) != 0 THEN CONCAT_WS(':', `a`.`id`, `a`.`alias`) ELSE a.id END AS `slug`, CASE WHEN CHAR_LENGTH(`cc`.`alias`) != 0 THEN CONCAT_WS(':', `cc`.`id`, `cc`.`alias`) ELSE cc.id END AS `catslug` FROM `sn27j_content` AS `a` LEFT JOIN `sn27j_categories` AS `cc` ON `cc`.`id` = `a`.`catid` WHERE `a`.`catid` = :catid AND `a`.`state` = :state AND `a`.`access` IN (:preparedArray1,:preparedArray2) AND (`publish_up` IS NULL OR `publish_up` <= :nowDate1) AND (`publish_down` IS NULL OR `publish_down` >= :nowDate2) ORDER BY CASE WHEN `a`.`publish_up` IS NULL THEN `a`.`created` ELSE `a`.`publish_up` END DESC3.05ms2.03KBParams/plugins/content/pagenavigation/src/Extension/PageNavigation.php:205Copy
    • SELECT * FROM `sn27j_comment_setting` WHERE `component`='com_content'770μs704B/administrator/components/com_comment/library/config.php:85Copy
    • SELECT * FROM sn27j_comment_queue WHERE status = 0 ORDER BY created ASC LIMIT 5432μs1.27KB/components/com_comment/helpers/queue.php:40Copy
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    • SELECT f.*, c.catid as catid FROM sn27j_compojoom_customfields as f LEFT JOIN sn27j_compojoom_customfields_cats AS c ON f.id = c.compojoom_customfields_id WHERE `f`.`show`='all' AND `f`.`enabled` = '1' AND `f`.`component` = 'com_comment'417μs2.39KB/libraries/compojoom/model/customfieldsconfig.php:51Copy
    • SELECT f.* FROM sn27j_compojoom_customfields AS f INNER JOIN sn27j_compojoom_customfields_cats AS c ON f.id = c.compojoom_customfields_id WHERE `f`.`show`='category' AND `c`.`catid` IN ('1') AND `f`.`enabled` = '1' AND `f`.`component` = 'com_comment'323μs2.36KB/libraries/compojoom/model/customfieldsconfig.php:70Copy
    • SELECT `m`.`id`,`m`.`title`,`m`.`module`,`m`.`position`,`m`.`content`,`m`.`showtitle`,`m`.`params`,`mm`.`menuid` FROM `sn27j_modules` AS `m` LEFT JOIN `sn27j_modules_menu` AS `mm` ON `mm`.`moduleid` = `m`.`id` LEFT JOIN `sn27j_extensions` AS `e` ON `e`.`element` = `m`.`module` AND `e`.`client_id` = `m`.`client_id` WHERE ( ( (`m`.`published` = 1 AND `e`.`enabled` = 1 AND `m`.`client_id` = :clientId AND `m`.`access` IN (:preparedArray1,:preparedArray2)) AND (`m`.`publish_up` IS NULL OR `m`.`publish_up` <= :publishUp)) AND (`m`.`publish_down` IS NULL OR `m`.`publish_down` >= :publishDown)) AND (`mm`.`menuid` = :itemId OR `mm`.`menuid` <= 0) ORDER BY `m`.`position`,`m`.`ordering`1.05ms1.94KBParams/libraries/src/Cache/Controller/CallbackController.php:120Copy
    • SELECT `c`.`id`,`c`.`asset_id`,`c`.`access`,`c`.`alias`,`c`.`checked_out`,`c`.`checked_out_time`,`c`.`created_time`,`c`.`created_user_id`,`c`.`description`,`c`.`extension`,`c`.`hits`,`c`.`language`,`c`.`level`,`c`.`lft`,`c`.`metadata`,`c`.`metadesc`,`c`.`metakey`,`c`.`modified_time`,`c`.`note`,`c`.`params`,`c`.`parent_id`,`c`.`path`,`c`.`published`,`c`.`rgt`,`c`.`title`,`c`.`modified_user_id`,`c`.`version`, CASE WHEN CHAR_LENGTH(`c`.`alias`) != 0 THEN CONCAT_WS(':', `c`.`id`, `c`.`alias`) ELSE `c`.`id` END as `slug` FROM `sn27j_categories` AS `s` INNER JOIN `sn27j_categories` AS `c` ON (`s`.`lft` <= `c`.`lft` AND `c`.`lft` < `s`.`rgt`) OR (`c`.`lft` < `s`.`lft` AND `s`.`rgt` < `c`.`rgt`) WHERE (`c`.`extension` = :extension OR `c`.`extension` = 'system') AND `c`.`access` IN (:preparedArray1,:preparedArray2) AND `c`.`published` = 1 AND `s`.`id` = :id ORDER BY `c`.`lft`881μs3.92KBParams/libraries/src/Categories/Categories.php:375Copy
    • SELECT `alias`,`catid` FROM sn27j_content WHERE `id` = :key316μs1.37KBParams/libraries/src/Component/Router/Rules/PreprocessRules.php:123Copy
    • SELECT MAX(`tag_id`) AS `tag_id`,COUNT(*) AS `count`,MAX(`t`.`title`) AS `title`,MAX(`t`.`access`) AS `access`,MAX(`t`.`alias`) AS `alias`,MAX(`t`.`params`) AS `params`,MAX(`t`.`language`) AS `language` FROM `sn27j_contentitem_tag_map` AS `m` INNER JOIN `sn27j_ucm_content` AS `ucm` ON `m`.`content_item_id` = `ucm`.`core_content_item_id` AND `m`.`type_id` = `ucm`.`core_type_id` INNER JOIN `sn27j_categories` AS `cat` ON `ucm`.`core_catid` = `cat`.`id` INNER JOIN `sn27j_tags` AS `t` ON `tag_id` = `t`.`id` INNER JOIN `sn27j_ucm_content` AS `c` ON `m`.`core_content_id` = `c`.`core_content_id` WHERE `t`.`access` IN (:preparedArray1,:preparedArray2) AND `t`.`published` = 1 AND `cat`.`published` > 0 AND `m`.`type_alias` = `c`.`core_type_alias` AND `c`.`core_state` = 1 AND (`c`.`core_access` IN (:preparedArray3,:preparedArray4) OR `c`.`core_access` = 0) AND (`c`.`core_publish_up` IS NULL OR `c`.`core_publish_up` = :nullDate2 OR `c`.`core_publish_up` <= :nowDate2) AND (`c`.`core_publish_down` IS NULL OR `c`.`core_publish_down` = :nullDate3 OR `c`.`core_publish_down` >= :nowDate3) GROUP BY `tag_id`,`t`.`title`,`t`.`access`,`t`.`alias` ORDER BY `count` DESC LIMIT 104.74ms1.81KBParams/modules/mod_tags_popular/src/Helper/TagsPopularHelper.php:188Copy
    • SELECT `alias`,`catid` FROM sn27j_content WHERE `id` = :key335μs1.37KBParams/libraries/src/Component/Router/Rules/PreprocessRules.php:123Copy
    • SELECT * FROM `sn27j_schemaorg` WHERE `itemId` = :itemId AND `context` = :context436μs1.55KBParams/plugins/system/schemaorg/src/Extension/Schemaorg.php:406Copy
    • SELECT `a`.`id`,`a`.`asset_id`,`a`.`title`,`a`.`alias`,`a`.`introtext`,`a`.`fulltext`,`a`.`state`,`a`.`catid`,`a`.`created`,`a`.`created_by`,`a`.`created_by_alias`,`a`.`modified`,`a`.`modified_by`,`a`.`checked_out`,`a`.`checked_out_time`,`a`.`publish_up`,`a`.`publish_down`,`a`.`images`,`a`.`urls`,`a`.`attribs`,`a`.`version`,`a`.`ordering`,`a`.`metakey`,`a`.`metadesc`,`a`.`access`,`a`.`hits`,`a`.`metadata`,`a`.`featured`,`a`.`language`,`fp`.`featured_up`,`fp`.`featured_down`,`c`.`title` AS `category_title`,`c`.`alias` AS `category_alias`,`c`.`access` AS `category_access`,`c`.`language` AS `category_language`,`fp`.`ordering`,`u`.`name` AS `author`,`parent`.`title` AS `parent_title`,`parent`.`id` AS `parent_id`,`parent`.`path` AS `parent_route`,`parent`.`alias` AS `parent_alias`,`parent`.`language` AS `parent_language`,ROUND(`v`.`rating_sum` / `v`.`rating_count`, 1) AS `rating`,`v`.`rating_count` AS `rating_count` FROM `sn27j_content` AS `a` INNER JOIN `sn27j_categories` AS `c` ON `c`.`id` = `a`.`catid` LEFT JOIN `sn27j_content_frontpage` AS `fp` ON `fp`.`content_id` = `a`.`id` LEFT JOIN `sn27j_users` AS `u` ON `u`.`id` = `a`.`created_by` LEFT JOIN `sn27j_categories` AS `parent` ON `parent`.`id` = `c`.`parent_id` LEFT JOIN `sn27j_content_rating` AS `v` ON `a`.`id` = `v`.`content_id` WHERE ( (`a`.`id` = :pk AND `c`.`published` > 0) AND (`a`.`publish_up` IS NULL OR `a`.`publish_up` <= :publishUp)) AND (`a`.`publish_down` IS NULL OR `a`.`publish_down` >= :publishDown) AND `a`.`state` IN (:preparedArray1,:preparedArray2)1.31ms70.17KBParams/components/com_content/src/Model/ArticleModel.php:215Copy
    • SELECT `a`.`id`,`a`.`asset_id`,`a`.`title`,`a`.`alias`,`a`.`introtext`,`a`.`fulltext`,`a`.`state`,`a`.`catid`,`a`.`created`,`a`.`created_by`,`a`.`created_by_alias`,`a`.`modified`,`a`.`modified_by`,`a`.`checked_out`,`a`.`checked_out_time`,`a`.`publish_up`,`a`.`publish_down`,`a`.`images`,`a`.`urls`,`a`.`attribs`,`a`.`version`,`a`.`ordering`,`a`.`metakey`,`a`.`metadesc`,`a`.`access`,`a`.`hits`,`a`.`metadata`,`a`.`featured`,`a`.`language`,`fp`.`featured_up`,`fp`.`featured_down`,`c`.`title` AS `category_title`,`c`.`alias` AS `category_alias`,`c`.`access` AS `category_access`,`c`.`language` AS `category_language`,`fp`.`ordering`,`u`.`name` AS `author`,`parent`.`title` AS `parent_title`,`parent`.`id` AS `parent_id`,`parent`.`path` AS `parent_route`,`parent`.`alias` AS `parent_alias`,`parent`.`language` AS `parent_language`,ROUND(`v`.`rating_sum` / `v`.`rating_count`, 1) AS `rating`,`v`.`rating_count` AS `rating_count` FROM `sn27j_content` AS `a` INNER JOIN `sn27j_categories` AS `c` ON `c`.`id` = `a`.`catid` LEFT JOIN `sn27j_content_frontpage` AS `fp` ON `fp`.`content_id` = `a`.`id` LEFT JOIN `sn27j_users` AS `u` ON `u`.`id` = `a`.`created_by` LEFT JOIN `sn27j_categories` AS `parent` ON `parent`.`id` = `c`.`parent_id` LEFT JOIN `sn27j_content_rating` AS `v` ON `a`.`id` = `v`.`content_id` WHERE ( (`a`.`id` = :pk AND `c`.`published` > 0) AND (`a`.`publish_up` IS NULL OR `a`.`publish_up` <= :publishUp)) AND (`a`.`publish_down` IS NULL OR `a`.`publish_down` >= :publishDown) AND `a`.`state` IN (:preparedArray1,:preparedArray2)938μs70.17KBParams/components/com_content/src/Model/ArticleModel.php:215Copy
    • SELECT SUM(CASE WHEN `a`.`next_execution` <= :now THEN 1 ELSE 0 END) AS due_count,SUM(CASE WHEN `a`.`locked` IS NULL THEN 0 ELSE 1 END) AS locked_count FROM `sn27j_scheduler_tasks` AS `a` WHERE `a`.`state` = 1508μs1.37KBParams/administrator/components/com_scheduler/src/Model/TasksModel.php:517Copy
    • SELECT `c`.`id`,`c`.`asset_id`,`c`.`access`,`c`.`alias`,`c`.`checked_out`,`c`.`checked_out_time`,`c`.`created_time`,`c`.`created_user_id`,`c`.`description`,`c`.`extension`,`c`.`hits`,`c`.`language`,`c`.`level`,`c`.`lft`,`c`.`metadata`,`c`.`metadesc`,`c`.`metakey`,`c`.`modified_time`,`c`.`note`,`c`.`params`,`c`.`parent_id`,`c`.`path`,`c`.`published`,`c`.`rgt`,`c`.`title`,`c`.`modified_user_id`,`c`.`version`, CASE WHEN CHAR_LENGTH(`c`.`alias`) != 0 THEN CONCAT_WS(':', `c`.`id`, `c`.`alias`) ELSE `c`.`id` END as `slug` FROM `sn27j_categories` AS `s` INNER JOIN `sn27j_categories` AS `c` ON (`s`.`lft` <= `c`.`lft` AND `c`.`lft` < `s`.`rgt`) OR (`c`.`lft` < `s`.`lft` AND `s`.`rgt` < `c`.`rgt`) WHERE (`c`.`extension` = :extension OR `c`.`extension` = 'system') AND `c`.`access` IN (:preparedArray1,:preparedArray2) AND `c`.`published` = 1 AND `s`.`id` = :id ORDER BY `c`.`lft`919μs6.42KBParams/libraries/src/Categories/Categories.php:375Copy
    • SELECT `session_id` FROM `sn27j_session` WHERE `session_id` = ?752μs1KBParams/libraries/vendor/joomla/session/src/Handler/DatabaseHandler.php:277Copy
    • UPDATE `sn27j_session` SET `data` = ? , `time` = ? WHERE `session_id` = ?1.89ms592BParams/libraries/vendor/joomla/session/src/Handler/DatabaseHandler.php:301Copy