Eclipse
Eclipses are possible on Kerbin because the Mun appears to be a similar size to Kerbol in the sky, similarly to eclipses on Earth. Because of graphic engine limitations, it does not become dark (unless the Scatterer mod is installed). However, solar panels will state "Blocked by The Mun" and will not produce electric charge. A full kerbolar eclipse can only be viewed from a latitude/orbital inclination near 0° because of the Mun's equatorial orbit.
A full kerbolar eclipse can be observed while landed at the KSC during Year 1, Day 31 - 5:04:43, with its highest point at 5:12:40, and ending at 5:22:04. There are other occurrences at different locations. An eclipse also occurs during sunrise at the KSC during Year 1, Day 5 - 4:00:00.
The Mun passes in front of Kerbol roughly every 6 days, meaning that after this time period passes, a kerbolar eclipse happens.
Eclipses are also possible on Duna due to Ike's orbital inclination of 0.2°, which occur every 3-4 days. Due to its proximity to Duna, Ike will completely obstruct Kerbol during an eclipse, unlike eclipses on Kerbin where the corona remains visible.
On Kerbin
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Early stages of a kerbolar eclipse on Kerbin
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Early stages of a kerbolar eclipse on Kerbin
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A kerbolar eclipse at totality
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Solar panels reporting as blocked during an eclipse
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The sky retaining its regular brightness despite the eclipse
On Duna
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A kerbolar eclipse viewed from Duna
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An eclipse on Duna viewed from orbit