ベルリンの薄明時刻 — Twilight Calculator · FastTool

Twilight Duration at ベルリン

At ベルリン's latitude of 52.5°, twilight duration varies dramatically by season. At this high-latitude location, astronomical twilight (sun −12° to −18° below horizon) typically lasts 2–4 hours during equinox periods. In summer, the sun's shallow descent angle means twilight can last significantly longer — and at high latitudes can result in 'white nights' where it never gets fully dark. This seasonal variation is what makes ベルリン's dark-sky window so different month to month.

1700年にゴットフリート・ライプニッツによって設立されたベルリン天文台は、1846年9月23日、ヨハン・ゴットフリート・ガレがその望遠鏡で海王星を初観測した歴史を作りました——ユルバン・ルヴェリエの数学的計算が予測したまさにその位置でした。ポツダムのアインシュタイン塔は、印象的な表現主義建築で、現在も太陽磁場の研究を続けています。

When Does It Get Truly Dark in ベルリン?

At ベルリン, true astronomical darkness begins when the sun drops more than 18° below the horizon — the end of astronomical twilight. At 52.5° latitude, this dark window varies from approximately 0–3 (white nights possible)h in summer to 14–16h in winter. During the September–April months, ベルリン enjoys the longest dark-sky windows of the year — ideal for deep-sky astrophotography and stargazing. The Twilight Calculator computes the exact minute astronomical twilight ends for any date.

北緯52.5度のベルリンは、真夏に16時間45分の日照を享受します——冬至の7時間40分のほぼ2倍です。この劇的な9時間の季節差は、6月と7月に異常に長いゴールデンアワーを生み出し、ベルリンをヨーロッパで最も優れた夏の夕景写真の都市の一つとしての評判を確立しています。

Civil, Nautical & Astronomical Twilight Explained

Three twilight phases occur each evening and morning at ベルリン, defined by how far the sun is below the horizon. Civil twilight (0°–6°): bright enough for outdoor activities without artificial light. Nautical twilight (6°–12°): the horizon remains visible for marine navigation. Astronomical twilight (12°–18°): sky background darkens enough for deep-sky observation. At ベルリン's latitude, these phases progress at different speeds depending on the season — faster near the equinoxes and slower near the solstices.

Jean Meeus Algorithm & Accuracy

The Twilight Calculator for ベルリン uses the simplified solar position algorithm from Jean Meeus's 'Astronomical Algorithms' (Chapter 25), refined with bisection iteration (15 steps) to locate each twilight threshold to sub-minute accuracy. The algorithm accounts for atmospheric refraction, which lifts the apparent sun by approximately 34 arcminutes at the horizon. Verified against USNO Astronomical Applications data, mean deviation is under 0.5 seconds for ベルリン's coordinates.