Space & astronomy · the experiment
Give the oversized planet a ring
Shrink Boyajian's oversized companion back to a normal size, and let a ring cast the rest of its shadow.
1 · Too wide for its weight
Beginner
The companion weighs about 9.4 Jupiters and measures 1.7 Jupiter radii. Why is that radius a problem?
The planet is brought back to 1.1 Jupiter radii. Add an opaque ring seen face-on, touching it, and set its outer edge, in planet radii (Rₚ), until the pair blocks as much light as the fit's bare sphere (1.74 Jupiter radii).
2 · Tilt the ring
A ring is unlikely to be seen exactly face-on. Tilt it like Saturn's: Saturn's axis leans 26.7°, so for an orbit seen edge-on, as here, its ring sits 63.3° from face-on.
Intermediate
You find about 2.4 Rₚ. The Roche limit is about 2.46 Rₚ times the cube root of the density ratio, planet over grains. With a planet near 9 g/cm³ and grains near 1 g/cm³, where does it lie?
Set its outer edge again until the pair blocks as much light as the bare sphere.
3 · How far can it tilt?
Expert
The best fits tilt the ring 78 to 84° from face-on. Seen exactly edge-on, what ring would block enough light?
The ring is fixed at the Roche limit, about 5.1 Rₚ. Tilt it until it blocks just as much light as the bare sphere.
4 · Tell the two pictures apart
Expert
The ringed planet and the bare sphere block the same light at mid-transit. Where can a new observation tell them apart?
Ring in place
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