### Why can't we see Saturn's phases from earth?

• In the Astronomy Picture of the Day from August 8, 2020 ("Crescent Saturn"), the caption states

From Earth, Saturn never shows a crescent phase

Why is this? We can observe phases on planets such as Venus which have an apparent size a lot smaller than Saturn. Saturn is not tidally locked to the sun (only Mercury is).

So why does the sunlit face of Saturn always face Earth?

The quote states that Saturn never shows a _crescent_ phase, not that we don't see any phases.

@ReinstateMonica--notmaynard this is true, but how would we be able to only see decreasing phases? The phase also would have to increase in order to decrease again.

You might be misunderstanding "crescent" — it is when less than half of the moon's or planet's disk is illuminated. The decreasing part of the phases is "waning" and the increasing is "waxing". My point was that the quote doesn't state that we can't see any phases (as the title of your question says), only that we can't see a crescent.

@ReinstateMonica--notmaynard Yes, I confused it with the german description of phases where "crescent" (zunehmend) is apparently the English "waxing". Thanks for the Explanation!

@ReinstateMonica--notmaynard, interesting, because etymologically, it means "growing". "Applied in Latin to the waxing moon, luna crescens, but subsequently in Latin mistaken to refer to the shape, not the stage." https://www.etymonline.com/word/crescent#etymonline_v_338

*O Fortuna velut luna statu variabilis, semper **crescis** aut **decrescis*** ("O Fortune, like the moon you are variable, always waxing and waning") See also https://www.etymonline.com/word/crescendo#etymonline_v_29065

2 years ago

Phases are just different perceived illuminations of an object at different illumination and observing angles. If the observer is, with respect to the object, located in a similar direction as the light source shining on the object then you should expect to see the vast majority of the object illuminated, if the observer is located in the opposite direction you would see the object back-lit, and if you are at right angles observing the object with respect to the direction of the light source you would see the object half-illuminated.

Since Mercury and Venus are always inside Earth's orbit and move with different rates around the Sun as Earth does, the Earth (the observer) is able to locate itself at any angle with respect to the light source that shines on the observed planet. This means that you can see any phase of Mercury or Venus (except from a perfect 100% illuminated phase due to the body of the Sun blocking the view). Here you have an example for Venus:

Now think about what happens from the point of view of an Earth's observer for the exterior planets. The Earth will never have a chance to see the planet's back-lit side since there's no position in its orbit that would allow for this. As seen from the other planet, the Earth is always close to the Sun, so it can be seen almost exclusively during the day, which means that from the Earth you almost exclusively see illuminated regions of the planet.

Mars is the closest exterior planet, so the Earth manages to gain enough elongation to see a bit of the night side, but it is a tiny fraction of the disk as viewed from here. Here you have a picture of the phases of Mars as seen from the Earth:

This is even worse for far away planets. Saturn is so far away that from its vantage point, that the Earth is basically always close to the Sun (to the light source). From the Earth, Saturn seems always fully illuminated, by an extremely small margin that allows to see a slim crescent of darkness in perfect conditions. Only with spacecraft like Cassini and Voyager have we been able to see what Saturn looks like from behind. The first time humanity did this was in 1980 with photographs like this one (from Voyager):

Before that we had never seen the night side covering more than a percent of the disk. Even the shadow of Saturn cast over the rings is nearly impossible to spot from the Earth. Look at this amateur photograph that shows precisely a bit of that shadow over the rings behind Saturn (bottom-right part):

That shadow is almost non-existent from Earth's point of view, and it's all because Earth's orbit is inside Saturn's and Saturn is far away from the Earth. The Earth is always so close to the line connecting the light source (the Sun) and the illuminated object (Saturn), that you shouldn't expect any more phases than "full" from here. Simple geometry.

Great answer! Out of curiosity, though: what's causing the illumination on the "dark side" of Saturn in that Voyager photograph?

Probably reflection from the rings?

Is it possible that Saturn would be eclipsed by Jupiter from our perspective? Jupiter is both closer and larger, so I imagine it's possible (though probably rare) for them to line up in such a way that Saturn is in Jupiter's shadow.

@DarrelHoffman I guess Jupiter being closer and bigger could hide Saturn, if the 3 planets are aligned, but the "shadow" of Jupiter (solar eclipse on Saturn from Jupiter) will not reach Saturn (too far away!).

@DarrelHoffman You should ask that as a new question. I can answer it with geometry so everything is clear.