Star Stuff
Stimpunks × More Realms · Zine No. 46

Companion Stars

on gravitational binding, the three-body problem, and why no one's path can be solved alone


L★S
Love You Down To Your Star Stuff
open edition · print freely
Companion star

Astronomy already had the word


A star that shares a system with another star has a name, and the name is a companion star. Astronomers needed the word for their own reasons, long before it was any use to us.

It is not a borrowed term or a softened one. It is the working vocabulary of stellar astronomy — the second body in a bound system, the one whose gravity you have to account for if you want the first one's motion to make any sense at all.

Helen Edgar's galaxy already holds it. In My Monotropic Galaxy (More Realms, June 2026) she maps twenty constellations of her own Autistic self, and the thirteenth is Companion Stars.

Companion Stars are the people who orbit close, who understand penguin pebbling, and the Neurodivergent Love Locutions. Those who don't need me to perform and who just ‘get it’.Helen Edgar · My Monotropic Galaxy · More Realms, 2026

Note the plural. Not the personthe people. This zine follows that plural outward, from one bond to a whole community, and the astronomy does the same thing on its own: two bodies, then three, and at three something changes that changes everything after it.

But first there is a fact to get straight, because the popular version of it is wrong — and this collection exists partly to take science back from the smoothed retelling.

Where the word comes from A bright primary star with a smaller companion beside it, joined by a line marked gravitationally bound, over a caption noting the term is astronomy's own. gravitationally bound primary companion not a borrowed word standard stellar astronomy
Figure 1 · the term is already theirs
The correction goes first

Most stars are single


You have almost certainly met the line most stars are in binaries — the Sun is the odd one out. It is repeated constantly, and it is not what the measurements say.

In 2006 Charles Lada put the binary statistics next to the stellar mass function and published the result as his title: most stars are single. Two-thirds of main-sequence stellar systems in the Galactic disk are composed of a single star.

The reason is arithmetic rather than romance. Multiplicity climbs steeply with mass, and the galaxy is overwhelmingly made of the small end:

fraction with at least one stellar companion
primarymultiplicitysource
M dwarfs~26%Duchêne & Kraus, 2013
solar-type (F6–K3)44 ± 2%Raghavan et al., 2010
the most massivenear totalDuchêne & Kraus, 2013

M dwarfs are the majority of stars by a wide margin, and about three-quarters of them are alone. The big ones almost all have someone; there are hardly any big ones.

So we are not going to tell you that everybody has their people. The sky does not say that, and saying it anyway would be the kind of comfort that costs somebody else something.the refusal this zine is built on

Which leaves a smaller claim, and it holds all the way down: where the binding is real, it is real physics — measurable, long-lasting, and structured in a way worth looking at closely. That is the zine. Not you will be found. Just: here is exactly what being bound is, and what it isn't.

Multiplicity climbs with mass Three horizontal bars. M dwarfs about twenty-six percent, solar-type forty-four percent, the most massive near total — with a note that M dwarfs are most of the galaxy, so two-thirds of systems are single. M dwarfs 26% Sun-like 44% most massive near all 0% 100% and the galaxy is mostly M dwarfs so 2 in 3 systems are single Lada 2006 · Raghavan 2010 · D&K 2013
Figure 2 · the fact, unsmoothed
Neither one circles the other

A centre belonging to neither


Two bound stars do not have one sitting still while the other goes round it. Both move, about a point between them called the barycentre, which is not located in either star.

Sirius is the worked example, and it is the brightest star in our sky. Howard Bond and colleagues combined two decades of Hubble imaging with photographic plates and nearly 2,300 measurements going back to the nineteenth century, and pinned the orbit down: Sirius A and its white-dwarf companion Sirius B trace their paths in 50.13 years, with dynamical masses of 2.063 ± 0.023 and 1.018 ± 0.011 solar masses.

Now the part that keeps this honest. Equal binding is not equal motion. The barycentre sits nearer the heavier star, so Sirius A moves in a small ellipse and Sirius B in one about twice as wide. The heavier body is displaced less.

What is symmetric is the force. Each pulls on the other exactly as hard. What is asymmetric is how far each one has to move — and neither of them gets to stand still.Newton's third law, in an orbit

That distinction is worth keeping. A relation can be genuinely mutual and still ask more travel of one party than the other, and pretending otherwise is how the person doing more of the moving ends up told they are imagining it. The pull is equal. The displacement is not. Both are facts about the same system.

Why it took 2,300 measurements. One orbit is fifty years, so no single astronomer's career covers many of them. Bond et al. are drawing on other people's observations from before anyone alive was born. Some things can only be known collectively, across generations — which is not a metaphor here, it is the method section.
Both stars orbit a shared centre Sirius A on a small ellipse and Sirius B on an ellipse about twice as wide, both about a marked barycentre that lies in neither star, with an orbital period of fifty point one three years. barycentre — in neither star A · 2.06 M☉ small ellipse B · 1.02 M☉ wide ellipse equal pull · unequal travel one orbit: 50.13 years Bond et al., ApJ 840, 70, 2017
Figure 3 · the point that is in neither of them
Distance is doing work

Close enough and you deform each other


Here is where a warmer piece would say and neither star has to change shape to stay in relation. That is not true, and the way it fails is the most useful thing in this zine.

Bring two stars close and they stop being spheres. Tidal forces stretch each one along the line joining them — the same effect that raises Earth's ocean tides, scaled up until it is the shape of the star itself. Astronomers see it directly: the brightness of a close pair rises and falls as those stretched shapes turn, which is why the effect has its own name, ellipsoidal variability.

Push closer still and the deformation runs to its conclusion:

what proximity does to a star's shape
separationshape
wideboth stay round; each evolves as if alone
closestretched into ellipsoids, brightness varying as they turn
closerdrawn to a teardrop, its point aimed at the other star
touchinga shared envelope, dumbbell-shaped — matter crossing between them

At the last stage the star can no longer hold its own outer material: it spills across to its companion, and what each one becomes is rewritten by the transfer. Proximity is not automatically good for a star.

Being bound does not deform you. Being bound too closely deforms you — and the star cannot choose its separation. We can.the only part of this we get a say in

And the far end of the range is enormous. Gaia has resolved over a million bound pairs out to separations of a parsec, with orbital periods running to a hundred million years. Those stars are genuinely companions — held by mutual gravity, one orbit longer than the entire history of flowering plants — and each of them keeps its own shape completely. Distance does not weaken the binding. It only stops the binding from being the thing that reshapes you.

Separation and shape Three pairs of stars. A touching pair forming a dumbbell, a close pair stretched into teardrops, and a wide pair of two perfect spheres, labelled as the only case where both keep their shape. touching one envelope close stretched wide both round closer farther still bound at every separation only the wide pairs keep their shape schematic · not to scale
Figure 4 · the cost is proximity, not the bond
At three, the mathematics changes

No path can be solved alone


This is the argumentative centre, and it is not an interpretation. It is a set of theorems.

With two gravitating bodies you can write the solution down. Newton did. Give the positions and velocities now, and there is a formula that returns them for any time you like, exactly, forever.

Add a third body and that stops being available. Not because it is hard — because it was proved not to be there:

what was actually shown
whoresult
Bruns, 1887beyond the ten classical conserved quantities, the three-body equations admit no further integrals that are algebraic in the coordinates and their derivatives
Poincaré, 1890and none that are single-valued analytic functions either — the stronger closure, and the one that ended the search
Sundman, 1912a convergent series solution does exist (non-zero angular momentum, no triple collision) — and converges so slowly it is useless for computation or for understanding

So astronomers integrate these systems numerically: step the whole configuration forward a little, recompute every force, step again. There is no shortcut, and there is no way to do one body at a time.

You cannot solve for one body's path on its own and add the others afterward. The paths exist only as a solution to the whole system, together, at once.the sentence the zine turns on

The same work is where chaos was found. Poincaré discovered that arbitrarily small differences in the starting conditions can lead to completely different outcomes later — and the crucial part, the part the popular word destroys: nothing is random. Every rule is exact and fully known. The system is deterministic and still unpredictable far out. Those are compatible, and holding them together is the whole idea.

What this does not say. It does not say the bodies stop being distinct — each keeps its own mass and its own light. It says their trajectories are not separable. That is a claim about dynamics and prediction, not about what a thing fundamentally is; the ontological version belongs to No. 29 and is not being re-argued here.
Two bodies solve; three do not On the left, two bodies on a single clean closed ellipse marked solvable exactly. On the right, three bodies whose two nearly identical starting paths diverge widely, marked step by step, no formula. two bodies one closed curve solved exactly three bodies two near-identical starts step by step, no formula exact rules · unpredictable far out deterministic, not random Bruns 1887 · Poincaré 1890 · Sundman 1912
Figure 5 · the shortcut that was proved absent
The Chaotic Self & the Autistic Rhizome

Two names we already have


This community named both halves of that spread before we went near the astronomy, and the naming is David Gray-Hammond's.

Writing with Katie Munday, he describes the Chaotic Self as “our sense of Self being a fluid and moving entity, constantly changing and reshaping as we receive new information and interact with the environment” — and, on why the change does not run backwards: “You can't unqueer a queer mind.”

That is a claim from lived experience, not from physics, and it should stay that way. But it names the same shape the theorems name: a self that is rule-governed and still not walked back, still not predicted far out.

His Autistic Rhizome is the community version — “communities that exist of networks with no single point of origin. They are interlinked but not dependent on one another for their existence” — and the two ideas meet exactly where this zine does: as one of us changes, “the relational change with our immediate environment transfers the process onwards to the rest of our community in somewhat of an unpredictable manner.”

Helen's galaxy holds the matching constellations, the ninth and the sixth:

Rhizome Array is the Autistic community itself — non-hierarchical, constantly connecting with other people and forming new communities and nodes. Creating something together that none of us could make alone.Helen Edgar · My Monotropic Galaxy · constellation #9
Mycelial Stars represent the underground networks of connection that sustain the neurodivergent community of Autistic researchers, advocates, writers, families, and educators. It is our community network of care and interdependence, all growing toward each other in ways that don't follow a straight line or a hierarchy. The foundation of mutual aid, care and well-being.Helen Edgar · My Monotropic Galaxy · constellation #6

Now the honest part, which we are not smoothing. A rhizome and a bound system are describing different things, and both are true:

two true statements that do not cancel
the rhizome saysthe three-body physics says
no node's existence depends on another, so cutting one tie does not collapse the networkwhile bodies are bound, their paths cannot be worked out apart from each other
resiliencenon-separability

A network can be resilient in exactly Gray-Hammond's sense and any cluster inside it can still be behaving exactly as spread six describes, at the same moment. Neither claim needs the other to be weakened.

A rhyme, not a proof. Chaos in dynamics and chaos in identity are not the same claim, and this zine does not argue that one demonstrates the other. Gravity does not know anything about us. What is being offered is a shape that shows up in both places, and a vocabulary this community built for itself first.
Resilience and non-separability, side by side On the left, a rhizome of linked nodes with one tie cut and the network intact. On the right, three bound bodies with mutual arrows, labelled as paths that cannot be worked out apart. the rhizome cut one tie — the network holds the bound three no one path solvable apart resilience · and non-separability both true at once
Figure 6 · two claims, neither cancelling
What the binding is made of

Nothing but mutual gravity


Strip a bound system down to what actually holds it, and there is one item on the list.

No agreement. No shared origin — many wide pairs formed apart and were captured, or drifted from a cluster that has long since dissolved. No requirement of similarity: Sirius A is a bright main-sequence star and Sirius B is the burnt core of one that died first. No maintenance, no renegotiation, no performance. Mutual gravity, and that is the whole of it.

And it does not fall off with familiarity. It falls off with distance, and even at a parsec it is still there, still doing the one thing it does.

The binding asks nothing of either star except that it have mass. There is no version of a companion star that has to earn it.what gravity does not ask for

That is the claim, kept small enough to be true. Not that you will be found — spread three forbids it. Not that closeness is safe — spread five forbids that too. Only this: where the binding exists, it is made of nothing that can be revoked for underperformance, and where three or more of us are in it, no one of our paths was ever the kind of thing you could work out alone.

Not:a promise that everyone has their people. Two-thirds of stellar systems are single. We opened with that on purpose, and we are not walking it back at the end.
Not:a claim that closeness is automatically good. Close companions deform each other into ellipsoids and teardrops and finally take each other's material. Distance is what lets both keep their shape.
Not:a claim that being single is a lesser state. It is the majority state, and a single star is a complete description of a star. Nothing here reads solitude as a shortfall.
Not:the individual dissolving into the group. Every star in a bound system keeps its own mass and its own light. What is inseparable is the paths, not the bodies.
Not:chaos theory proving anything about the Chaotic Self. Chaos in dynamics and chaos in identity are different claims. They rhyme; a rhyme is not a proof.
Not:“unpredictable” meaning random. Every rule in a three-body system is exact and known. Determinism and unpredictability sit together, and flattening that is how the word gets misused against us.
Not:an obligation. The physics describes what mutual dependence looks like where it exists. It does not say anybody owes it to you, or you to them.
What holds a bound system A short list of things gravity does not require — agreement, similarity, shared origin, upkeep, performance — all crossed out, beside a single remaining item: mass. agreement similarity shared origin upkeep performance mass the entire requirement nothing here can be revoked for underperformance
Figure 7 · the list is one item long
L★S

No one's path was ever the kind of thing you could solve alone.

No. 24 Shared Air — one continuous field, no edge between us
No. 26 A Mycelium and a Rhizome — no trunk, no centre, many doors
No. 29 Only in Relation — what a thing is, it is in relation
No. 45 The Cloud Phase — the in-between is the majority state
No. 46 Companion Stars — no path can be solved alone ← you are here
Reflection

Where is your path actually being worked out together with other people, rather than decided alone and compared afterward?

Which of your bonds is at the separation that lets you keep your shape — and is there one that is closer than it should be?

Where has a change in you carried onward to people you're connected to in a way neither of you could have predicted?

Who is doing more of the moving in a relation you both call equal, and what would it take to say so out loud?

Sources

Most stars are single. Charles J. Lada, “Stellar Multiplicity and the Initial Mass Function: Most Stars Are Single,” ApJ 640, L63 (2006) — two-thirds of main-sequence stellar systems in the Galactic disk are single, because the mass function peaks among M dwarfs and multiplicity climbs with primary mass. Deepak Raghavan et al., “A Survey of Stellar Families: Multiplicity of Solar-Type Stars,” ApJS 190, 1 (2010) — 44 ± 2% of 454 F6–K3 primaries are in multiple systems. Gaspard Duchêne & Adam Kraus, “Stellar Multiplicity,” Annual Review of Astronomy and Astrophysics 51, 269 (2013) — the review: ~26% for M dwarfs, 40–50% for A–K, near-total at the top of the mass range, with multiplicity a steep function of primary mass. This correction is the reason the zine opens where it does, and it applies to our own back catalogue too — see the note below.

Sirius. Howard E. Bond, Gail H. Schaefer, Ronald L. Gilliland et al., “The Sirius System and Its Astrophysical Puzzles: Hubble Space Telescope and Ground-based Astrometry,” ApJ 840, 70 (2017) — two decades of HST imaging plus photographic and historical measurements back to the nineteenth century; orbital period 50.13 yr; dynamical masses 2.063 ± 0.023 and 1.018 ± 0.011 M. The ratio of the two ellipse sizes follows from those masses and is ours, not a quoted figure.

Tidal distortion and wide pairs. Ellipsoidal variability, Roche-lobe geometry, teardrop and contact configurations, and mass transfer in close binaries are standard close-binary astrophysics, given here from review literature rather than from a primary source we have read; the shapes in Figure 4 are labelled schematic. The wide end is Kareem El-Badry, Hans-Walter Rix & Tyler Heintz, “A million binaries from Gaia eDR3,” MNRAS 506, 2269 (2021) — 1.3 million high-confidence pairs within 1 kpc, projected separations from a few au to 1 pc, with orbital periods reaching ~108 yr. “Longer than the entire history of flowering plants” compares that period against the ~130 Myr angiosperm fossil record and is our comparison, not theirs.

The three-body problem. Heinrich Bruns (1887) showed the equations admit no first integrals beyond the classical ten that are algebraic in the coordinates and their derivatives; Henri Poincaré (Acta Mathematica 13, 1890) extended this to integrals expressible as single-valued analytic functions, and the same work is where sensitive dependence on initial conditions — later called chaos — was first identified. Karl F. Sundman (Acta Mathematica 36, 1912) gave a convergent series solution, valid for non-zero angular momentum and thus excluding triple collision, whose convergence is far too slow to be usable for computation or qualitative analysis. Primary sources are in German and French and we have not read them; the statements above are taken from standard mathematical reference works and are phrased to match what those works say was proved, which is narrower than “the three-body problem has no solution.”

After Helen Edgar & David Gray-Hammond

This is a house zine written after two people, in the shape of No. 29 and No. 45 — theirs is the frame and the naming; the astronomy and the argument are ours, and any error in them is ours too.

Helen Edgar, My Monotropic Galaxy: A Constellation of My Autistic Self (More Realms, June 2026), where Companion Stars is the thirteenth of twenty constellations, Rhizome Array the ninth and Mycelial Stars the sixth — all quoted verbatim, all hers. Her galaxy also holds Gravity Well and Dark Matter Field, which this zine deliberately leaves alone rather than spending two of her namings in one piece.

David Gray-Hammond, whose coinages carry spread seven and are used here with his agreement. The Chaotic Self and neuro-anarchy: Katie Munday & David Gray-Hammond, Neuroqueer: Neuro-anarchy and the Chaotic Self (NeuroHub Community, 4 April 2023) — neuro-anarchy is Munday and Gray-Hammond's jointly, and both quotations on spread seven are from this piece. The Autistic Rhizome: David Gray-Hammond, Reclaiming Neurofuturism: Rhizomatic Communities and the Chaotic Self (NeuroHub Community, 30 April 2023), building on Deleuze & Guattari's rhizome (A Thousand Plateaus, 1980) as No. 26 already does. Helen Edgar's own writing on the Autistic Rhizome and its watering holes runs alongside his.

What this deliberately does not re-argue

No. 29 Only in Relation owns Karen Barad's intra-action and intradependence — relation before relata, an ontological claim. This zine's territory is narrower and different: separability, which is about whether a trajectory can be computed alone, not about what a thing fundamentally is. Spread six says so in place rather than letting the two blur. No. 26 owns the rhizome and neuro-anarchy as its subject; here the rhizome appears only where it meets the physics. Field Guide No. 5 holds Never Alone, whose overstated claim this zine's spread three corrects — see the changelog.

A rhyme, not a proof. The mathematics of gravitating bodies is exact and knows nothing about us. Where this zine puts a physical fact beside a lived one, it is noticing a shape that appears in both, and saying so — never claiming that the first demonstrates the second.