Star Stuff
Stimpunks × More Realms · Zine No. 53

The Moon Is Always Half Lit

on phases as geometry, the far side that was never dark, and why waning is a word about the angle


L★S
Love You Down To Your Star Stuff
open edition · print freely
The fact

There has never been less Moon


The Sun lights one hemisphere of the Moon. Not usually. Not on average. Continuously, for four and a half billion years, without a single interruption that was not an eclipse.

This is worth sitting with, because almost nobody pictures it that way. A crescent Moon looks like a Moon that has had most of its light taken away. It is not. It is a fully half-lit Moon seen nearly edge-on to its own daylight — you are looking at the boundary between its day and its night from almost alongside, so the lit part presents to you as a sliver.

The illuminated hemisphere is exactly as large at new Moon as at full. Nothing dims. Nothing is withheld. Nothing is recovering. The same amount of Moon is in the same amount of sunlight the entire month, and the entire month is a story about where you happen to be standing.

A phase is not something that happens to the Moon. It is something that happens between the Moon and you.

One refinement, because precision is a form of care. Slightly more than half is lit — about 50.2 percent. The Sun is not a point and it is much larger than the Moon, so the tangent lines that define the terminator close a little past the geometric halfway line. It is a small number and it is the honest one, and we show the arithmetic in the colophon rather than asking you to take it.

The geometry

A phase is an angle, and you are one of its arms


Three bodies are required to make a phase: the Sun, the Moon, and somebody looking.

Remove any one of them and the phase does not become something else — it stops existing. There is no fact of the matter about "what phase the Moon is in" that does not include an observer's position in it. The quantity astronomers actually compute is the angular separation between the Sun and the Moon as seen from where you are, and that number has your location baked into it as surely as it has the Moon's.

So the month-long procession of shapes is not the Moon doing anything. It is the Moon and the Earth carrying you around a lit object at a steadily changing angle, and your line of sight sweeping across a boundary that, on the Moon itself, has not moved at all.

The Moon is not changing. The three of us are moving.

Figure 1 is the standard diagram with one thing insisted upon: every Moon in the ring is drawn with the same lit half, facing the same way. That is not an artist's simplification. That is the finding.

Eight orbital positions, one unchanging lit hemisphere Sunlight arrives from the left. Earth sits at the centre of a dashed circular orbit. Eight Moons are spaced around that orbit, and every one of them is drawn with its left-hand hemisphere lit and its right-hand hemisphere dark, because every one of them is lit by the same Sun in the same direction. The apparent shape a viewer on Earth sees differs at each position only because the viewing angle differs. every Moon here is exactly half lit only the angle to the viewer changes
Figure 1 · the lit half never moves
The names

Four of the eight last no time at all


Everyone has seen the chart: eight little Moons in a row, eight names, eight equal boxes.

The chart is a convention laid over a continuum, and it is lopsided in a way the drawing hides. The US Naval Observatory is precise about this. New Moon, First Quarter, Full Moon and Last Quarter are defined to occur when the excess of the Moon's apparent ecliptic longitude over the Sun's is 0°, 90°, 180° and 270° respectively — which makes them instants. Moments. They have no duration. The Moon is Full at a specific second and is not Full a second later.

The other four — waxing crescent, waxing gibbous, waning gibbous, waning crescent — are the entire rest of the month, about a week each.

Four knife-edges and four long weeks, drawn as though they were eight equal things.

Underneath the chart the illuminated fraction changes smoothly and without steps, every value between nothing and everything, all month, every month. There is no moment at which the Moon crosses from one kind of thing into another kind of thing. The boxes are ours. We drew them because a chart needs boxes, and then we started reading the boxes back as though we had found them.

This is not an argument against the names. They are useful, they are precise where they claim to be, and the USNO states their status plainly rather than hiding it. It is an argument about what happens when a naming convention outlives the page it was drawn on.

One synodic month: four instants and four intervals A horizontal band represents one lunar month. Four bright vertical hairlines mark New Moon, First Quarter, Full Moon and Last Quarter, which are defined as instants with no duration. Between them lie four wide blocks, each about a week long, labelled waxing crescent, waxing gibbous, waning gibbous and waning crescent. A smooth curve beneath shows the illuminated fraction rising and falling continuously with no steps. 90° 180° 270° 360° wax cres wax gibb wan gibb wan cres underneath, no steps at all
Figure 2 · the boxes are ours
The observer

Three people, three crescents, one Moon


Because you are one arm of the angle, moving you changes the answer.

Take a single instant — one waxing crescent, one illuminated fraction, one Moon. In Edinburgh it is lit along the right-hand edge. In Melbourne, at the same moment, it is lit along the left. Near the equator it rides low as a bowl, lit along the bottom, and there is a lovely folk name for it: a wet moon, tipped up to hold the rain.

Nobody is wrong. Nobody is seeing an illusion. The Moon is not doing three different things. Your horizon is tilted differently relative to the plane the Sun and Moon lie in, so the same lit edge presents at a different roll angle — and since up is defined by where your feet are, the picture rotates with you.

Three drawings. Three correct answers. The difference is entirely in the observer.

If somebody handed you these three sketches and asked which was the real Moon, the question would be malformed — and yet it is exactly the question we ask about people constantly, in reports, in assessments, in the sentence but she seems fine with me.

The same crescent seen from three latitudes Three identical Moons at the same instant with the same illuminated fraction. The first, seen from the northern hemisphere, is lit along its right edge. The second, seen from the southern hemisphere, is lit along its left edge. The third, seen from near the equator, is lit along its bottom edge like a bowl. NORTHERN SOUTHERN EQUATOR lit on the right lit on the left lit underneath one instant · one lit fraction · one Moon
Figure 3 · the picture rotates with your feet
Luna 3 · 7 October 1959

There is a far side. There is no dark side.


The far side of the Moon receives exactly as much sunlight as the side we know.

It has days and nights of the same length. It has noon. And at new Moon — the one night of the month when we can see nothing of the Moon at all — the far side is in full daylight, the whole hemisphere blazing, entirely unwitnessed. The phrase "dark side" is not poetic licence. It is simply a mistake, and it names the wrong property: the far side is not dark, it is turned away.

We found out what was there on 7 October 1959. Luna 3 swung behind the Moon and took twenty-nine photographs of a hemisphere no one had ever seen, developed the film in a small automated darkroom it was carrying, scanned the negatives with a moving light beam, and radioed the result back across the vacuum. The pictures were grainy and covered about seventy percent of it.

What came back was not a shadow. It was a landscape — sunlit, crowded edge to edge with craters, and almost entirely lacking the great dark maria that make the familiar face familiar. It had been like that the whole time.

Unseen is not unlit. It never was.
Libration

Tidally locked was never rigidly held


"The Moon always shows us the same face" is the second thing everyone knows about the Moon, and it is also an approximation that dissolves by about nine percent if you watch carefully.

We see roughly 59 percent of the lunar surface from Earth, not fifty. The Moon rocks, and it does so for two unrelated reasons that happen to compound:

Why we get more than half
MotionCauseWhat it shows us
In longitudethe orbit is an ellipse, so the Moon runs fast near perigee and slow near apogee while its spin stays evena little around the eastern and western limbs, in turn
In latitudethe axis is tilted about 6.7° to the orbital planea little over the north pole, then a little over the south

So the lock is real but it is loose. It is a tendency the system settled into, not a bolt. The Moon is very slightly out of step with itself all month, and the reward for noticing is nine percent more world.

Even the thing we describe as fixed turns out to be negotiating.
Complements

New Moon here is a full Earth there


Stand on the Moon on the night we call new, look up, and Earth is full — a complete blue-white disc, four times as wide as the Moon looks to us, and far brighter.

This holds all the way round. The phases are complements. When we have a thin crescent, they have a fat gibbous Earth. When we have full Moon, they have new Earth, a black disc ringed in red by every sunrise and sunset on the planet at once. At every instant, the two phases sum to one whole.

Which means the light is never missing. It is only ever distributed differently between two vantage points. Nobody in this system is having less; somebody is having it elsewhere, and the arithmetic is exact.

There is no moment in the Earth–Moon system when anybody is in the dark. There are only moments when the light is somewhere you are not standing.

This zine is about light. The other half of the relationship — nearness, tides, and what a body close by does for another body's rhythm — belongs to No. 17, The Nearest Body, and is deliberately not re-walked here.

The ashen light

The light we send back


Find a thin crescent a few days after new Moon, on a clear evening, and look at the part that should be nothing. It is not nothing. The whole round disc is faintly there, ash-grey, the dark part visible.

That glow is our light. Sunlight strikes Earth, bounces off cloud and ocean and ice, crosses to the Moon, and comes back to your eye. English has an old name for the sight: the old Moon in the new Moon's arms.

Leonardo da Vinci worked out the mechanism around 1506–09 and drew it in the Codex Leicester, and — being Leonardo — never published it, so it did nobody any good for a century. He also got it slightly wrong: he thought the light came off Earth's oceans, where in fact most of it comes off clouds. The first published explanation is credited to Michael Mästlin.

Mästlin taught at Tübingen, and among his students was Johannes Kepler — who, a few years later, ran out of vocabulary while drawing eclipse geometry and had to invent a word for the region that is neither full shadow nor full light. He called it penumbra. That story is No. 51.

The teacher explained the light on the unlit part. The student named the shadow that is not quite a shadow. Neither of them would accept a picture with only two states in it.

And note what earthshine actually requires. The dark limb is visible because something else is lit and facing it. Nothing about the Moon changed to make it appear. It became visible because of what was turned toward it.

27.32 · 29.53

You can finish the circle and still not count as returned


The Moon completes one full orbit of the Earth — a whole circuit, 360 degrees, measured against the fixed stars — in 27.32 days. That is the sidereal month, and it is the orbit the Moon is actually on.

But it is not back to new Moon. Not close. Because while the Moon went round, Earth moved too, about 27 degrees along its own orbit around the Sun, and "new Moon" is defined by the alignment with the Sun. The target slid forward. The Moon has to keep going — past a full circle, roughly 29 degrees further, about two more days — to catch an arrangement that did not stay put.

That gives the synodic month: 29.53 days. It is the month everyone actually lives by. It is the one calendars are built from, and it is longer than the orbit it is made of.

The cycle you are counted by is longer than the circuit you are actually completing — because the thing you are measured against keeps moving.

There is a whole second piece in this — 29.53 days will not divide 365.24 days, and every calendar humans have built is a patch over that refusal. That is a chain for another day, and it is not this zine.

The synodic month overshoots the orbit A dashed circle represents one complete lunar orbit of 360 degrees, taking 27.32 days. An additional short arc drawn outside the circle at the top right represents a further 29 degrees, about 2.2 days, that the Moon must travel to return to the same phase, because Earth has moved along its own orbit meanwhile. Together they make the synodic month of 29.53 days. +29° · 2.2 d the overshoot 360° · 27.32 d the orbit the phase cycle is 29.53 days a full circle was not enough
Figure 4 · past 360° to arrive
The turn

Nothing about it waned


Here is the whole of it: waxing and waning are words about the geometry. They are not words about the Moon, and nothing in the Moon does them.

We are described in phases constantly. Verbal on Tuesday and not on Thursday. Fine at home and struggling at school, or the reverse, which is usually taken as more damning. Capable in the assessment room and not in the corridor outside it. Someone writes down the sliver they were standing at the right angle to see, and it enters the record as how much there is.

Those are not two quantities of person. Nothing was withheld in the first case and released in the second. The whole hemisphere was lit the entire time. What changed was the angle, the conditions, and who was doing the looking.

A functioning label is a phase recorded as a substance. It takes the crescent and files it as the whole Moon there is.

And the observer is in the measurement — that is the part that keeps getting dropped. But she seems fine with me is not a fact about her. It is a report of one angle, offered as though it were the object. So is he never speaks. So is every profile assembled from people who each saw one edge and none of whom were asked where they were standing.

The spiky profile that No. 21 is about is exactly this, seen from inside: not a person who fluctuates in amount, but a whole person meeting differently-angled conditions and being measured as though the conditions were neutral.

A case, first-hand

Full time and part time


The previous spread is an argument. Here is what it looks like from inside one school career — Ryan Boren, writing in 2022 about being read at both extremes at once.

He is hyperlexic and Autistic. School did not know he could read, because he would not read aloud: situational mutism and exposure anxiety, in his words, “locked my lips.” Then one day, in a quiet corner with what he calls a semblance of psychological safety, he read a book cover to cover to his teacher in a whisper, and asked: “Can I go now?”

“During my school career, I was both r-word and genius.”Ryan Boren, R-word and Genius: Situationally Mute Hyperlexic Autistic, 2022

Note what actually changed, because it was nothing about him. The reading was there the whole time — the entire lit hemisphere, at full brightness, before the quiet corner and after it. What moved was the room. And he names the variable exactly:

“R-word and genius. The difference in impressions is due to psychological safety, it’s presence and absence.”

Then the sentence this whole zine has been building toward without knowing it. He describes going “from being a full time r-word to a part time one, depending on who was in the room with me and if I felt safe enough speak.”

Full time to part time. That is a phase, recorded in the vocabulary of proportion — as though there were an amount of him, and it had gone up. And depending on who was in the room with me is not a metaphor for the observer's position in the angle. It is the observer's position in the angle, stated plainly by the person being measured.

He goes further than we would have dared, and he is right to: “Autistic people are psychological safety barometers.” Which inverts the whole measurement. A barometer's reading is a fact about the air around it. If the apparent phase tracks the safety of the room, then the instrument was measuring the room the entire time — and the room wrote the result down as a fact about the child.

The guardrail

The crescent really is less light


There is an easy, wrong version of this zine, and it is one sentence away from the right one. The easy version says: since the Moon is always half lit, the difference is imaginary, so nothing is really harder on Thursday than it was on Tuesday.

That is false, and it would be a cruel thing to hand anybody. A crescent genuinely delivers less light to you. Measurably. A full Moon can light a path home; a crescent cannot. The geometry is not a trick and its consequences are entirely real for whoever is standing under it.

The correction we are actually making is narrower and holds up better: the difference is located in the arrangement, not in the body. Not in the Moon, which never changed. In the angle, the conditions, the room, the lighting, the hour, and the position of whoever is writing it down. That is exactly where an arrangement can be altered — and exactly where a diagnosis cannot reach.

This is the same move No. 51 makes with shadow, and we are borrowing it rather than re-deriving it: an umbra is a relation between a source, an obstruction and a place, never a property of the ground it falls on. Same here. A phase is a relation between a source, a body and an observer, never a property of the body.

Not:that the hard days are not hard. They are. This zine is about where the difficulty is located, and relocating it out of the bodymind is not the same as denying it. Anyone who reads this as "cheer up, you're always full" has been handed the wrong sentence, and we would rather say so on the page than hope.
Not:that support needs are an illusion of perspective. Some of us need substantial, skilled, continuous support, and nothing in the optics touches that. What the optics refuse is the inference from seen as a crescent to is a crescent.
Not:that inconsistency is a character flaw. Unreliable, attention-seeking, could do it yesterday — all of these read a changing angle as a changing will. Fluctuating capacity is ordinary, and the demand for a flat output is a demand no orbit has ever met.
Not:the masking compliment. "You'd never know" is a description of the observer's angle presented as praise for the object. It is the same error as "the dark side," and it costs more.
Not:that we are unknowable. The far side was unseen for the whole of human history and it was never unreal — and then Luna 3 went and looked. Hard to see from one position is an instruction to move, not a mystery to romanticise. See No. 48 on where that guardrail sits.
Not:a proof about people. The USNO was defining ephemeris terms. Luna 3 was a spacecraft. Mästlin was explaining a glow. None of them was writing about us. Spread eleven is an analogy, and analogies license nothing on their own. A rhyme, not a proof.
Not:that psychological safety is the only variable. Spread twelve is one person's account and it names safety because that is what was decisive for him. Sensory load, processing time, energy, pain, interoception, the demand itself and plain accumulated exhaustion are all real angles too. “Just make them feel safe” would be a new flattening, and a cheap one — the point is that the variables are in the arrangement, not that there is only one of them.
L★S

The lit half was never in question. Only ever the angle, and who was standing at it.

No. 17 The Nearest Body — nearness beats mass, and co-regulation is gravity
No. 21 Not a Line — a spectrum is not a ranking
No. 44 You Cannot Flatten a Sphere — what a summary must throw away
No. 48 The Shadow Is Bigger Than the Thing — known only by its effect
No. 51 Almost Shadow — the named zone in between
No. 53 The Moon Is Always Half Lit — the phase is the angle ← you are here
Reflection

Which of your crescents has somebody written down as the whole of you?

Where were you standing the last time you decided how much someone had in them?

What have you called waning that was only ever the room, the hour, or the light?

Whose far side have you called dark, when the truth was that nobody had gone round to look?

If someone’s apparent phase is a reading of the room, what has your room been reading out lately?

What would it take for the people describing you to be asked where they were standing?

Sources

The four principal phases are instants — quoted, not paraphrased. The US Naval Observatory's Astronomical Applications Department states that “the phases New Moon, First Quarter, Full Moon, and Last Quarter are defined to occur when the excess of the apparent ecliptic (celestial) longitude of the Moon over that of the Sun is 0, 90, 180, and 270 degrees, respectively,” and that the dates and times computed this way “are instantaneous and well defined.” The same source describes the crescent and gibbous phases as intermediate, “each of which lasts for about a week between the primary phases.” Spread four's whole argument is carried by that asymmetry, which is why it is quoted rather than characterised.

The 50.2 percent figure is ours, computed, and shown so you can check it. No source is cited because we did the arithmetic rather than finding it. For a sphere of radius r lit by a larger sphere of radius R at distance d, the terminator falls beyond the great circle by an angle α with sin α = (Rr) / d, and the lit fraction is (1 + sin α) / 2. With R = 695,700 km, r = 1,737.4 km and d = 1.496 × 10⁸ km, that gives sin α ≈ 0.00464 and a lit fraction of ≈ 50.23 percent. Wikipedia's article on the solar terminator corroborates the principle for Earth — “a little over one half of Earth is illuminated at any point in time” — but not the lunar number, so we are not claiming it as sourced. It is a grace note; the load-bearing claim on spread two is that one hemisphere is always lit, which needs no decimal.

Luna 3. Launched 4 October 1959; the first photograph of the lunar far side was taken at 03:30 UT on 7 October 1959, from roughly 63,500 km, after the spacecraft had passed the Moon and looked back at the sunlit far side. Twenty-nine photographs were returned, covering about seventy percent of the far side; the film was developed onboard and the negatives scanned and transmitted to Earth. Per NASA and the NSSDC, the most striking feature of the images was the near-absence of the large dark maria that dominate the near side. Figures are as reported and the resolution was low; nothing in this zine rests on the image quality.

Libration. That roughly 59 percent of the lunar surface is visible from Earth over time, through libration in longitude (orbital eccentricity against uniform rotation) and libration in latitude (an axial tilt of about 6.7 degrees to the orbital plane), is standard positional astronomy. The 59 percent figure is the conventional one and is an accumulated total over time, not a fraction visible at any single moment — spread seven says “from Earth,” not “tonight,” deliberately.

Sidereal and synodic months. Sidereal month 27.32 days, synodic month 29.53 days. The synodic month is the longer because Earth advances roughly 27 degrees along its own orbit during one sidereal month, so the Moon must travel about 29 degrees past a full circuit — about 2.2 days — to restore the same Sun–Earth–Moon alignment. Both figures are mean values; the true synodic month varies by several hours either side, and Figure 4 is schematic rather than to scale.

Earthshine, and what we can and cannot claim about who explained it. That the ashen glow on the Moon's dark limb is sunlight reflected from Earth is settled. Leonardo da Vinci gave a correct explanation around 1506–09 in the Codex Leicester and never published it; he attributed the reflection to Earth's oceans, where most of it in fact comes from clouds, and spread nine says so rather than tidying it. That Michael Mästlin was the first to publish an explanation is stated by the history-of-science writer Thony Christie (The Renaissance Mathematicus), and we mark it plausible rather than verified: it is a single strong secondary source, Wikipedia's Mästlin article does not mention earthshine at all, and we did not confirm it against a primary text. What we cut during the check: a much better story, that Kepler credited Mästlin for earthshine in Astronomiae pars optica (1604) — the same book in which he coined penumbra for No. 51. It would have been a perfect joint between two zines, which is precisely why we distrusted it. What the sources actually support is that Mästlin's 1596 Disputatio de Eclipsibus is often referred to in Kepler's 1604 work — not that Kepler credited him for this. So the spread claims only what is documented: Mästlin taught Kepler at Tübingen (Kepler studied there 1589–1594, and learned Copernican astronomy from Mästlin's lectures), and the two men's work sits either side of the same problem. Also deliberately not claimed: a publication date for Paolo Sarpi, whose writings on earthshine are variously dated to c. 1578–83 and variously described as published or not; we could not settle it, so he is not on the page.

The wet moon. The bowl-shaped crescent seen from low latitudes is a real observational fact following directly from the geometry, and wet moon is a genuine folk name for it. We give it as folk usage, not as a technical term, and attach no cultural claim to it.

Spread 12 is Ryan Boren's own account, quoted verbatim from a published post. “R-word and Genius: Situationally Mute Hyperlexic Autistic,” stimpunks.org, 19 September 2022. Every quoted phrase on that spread — locked my lips, a semblance of psychological safety, Can I go now?, During my school career, I was both r-word and genius, the difference in impressions is due to psychological safety, it’s presence and absence, from being a full time r-word to a part time one, depending on who was in the room with me and if I felt safe enough speak, and Autistic people are psychological safety barometers — is his wording, not a paraphrase, and the post was read at the source rather than through a summary. The slur is written as “r-word” throughout because that is how the source writes it, and that convention is deliberate on stimpunks.org rather than our own softening. The barometer inference is ours, not his: he wrote the sentence; the observation that it inverts the direction of measurement — that a barometer reading is a fact about the surrounding air — is this zine's addition, and it is an interpretation of his line rather than a claim he made.

The two terms that spread carries, credited to their originators. Exposure anxiety is Donna Williams's, from Exposure Anxiety — The Invisible Cage: An Exploration of Self-Protection Responses in the Autism Spectrum and Beyond (Jessica Kingsley, 2003); Williams was herself Autistic. Psychological safety as a research construct is Amy Edmondson's, from “Psychological Safety and Learning Behavior in Work Teams,” Administrative Science Quarterly 44(2):350–383 (1999) — a study of work teams, not of Autistic children; the application to classrooms and to Autistic people is Ryan's, not Edmondson's, and the distinction is kept here rather than allowed to blur. We write situational mutism rather than selective mutism, following the source and the Stimpunks glossary, because selective implies a choice that is not being made.

What this zine deliberately does not do. It does not restate the tides, nearness or co-regulation argument of No. 17, which is the Moon's gravity and a different physical story from its light. It does not take up eclipses, which belong to No. 51 and No. 52. It does not make comparative claims about non-Western lunar phase systems, which we did not research and will not gesture at. And it does not follow the calendar problem — that 29.53 days will not divide 365.24 — which is a Burke chain rather than a zine, and is parked as a candidate rather than half-told here. No claim is made that the geometry proves anything about people: spread eleven is an analogy and spread thirteen says so on its face. Spread twelve is not offered as evidence for the optics either — it is a life that the optics happen to describe well, which is a different and smaller claim. A rhyme, not a proof.