Loop-a-Loop Orbits Physics Game
Chapter 1

Living on a donut planet

Chapter 2

The hourglass earth

Chapter 3

The hidden geometry of our Earth

Ch 1 · Living on a donut planet
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007skaty Scientists model the gravitational pull of a hypothetical donut-shaped Earth.

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The gravity of a donut

007skaty A toroidal Earth has uneven gravity, pulling strongest at the top and bottom polar rings and weakest along the outer equator.

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Quiz

What celestial body shape is mathematically known as a toroid?

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Quiz

Where would you experience the weakest gravity on a toroidal Earth?

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Where you stand determines how heavy the world feels.

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007skaty Looking upward from a toroidal Earth

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Looking up at the ceiling

007skaty A donut-shaped Earth's geometry arches oceans and cities directly across the daytime sky

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Quiz

What would you see directly overhead if you stood on the inner equator of a donut Earth?

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Quiz

Which geometric term describes the inner-facing equator of a toroidal planet?

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Fun Fact

Donut Earth gravity: You would weigh significantly less at the outer equator than at the polar rings of a donut-shaped planet.

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007skaty The orbital trajectories of satellites around donut-shaped planets

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Loop-a-Loop Orbits
BETA

007skaty Fling satellites into looping paths to learn how gravity works on a hyperboloid Earth.

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Quiz

Who was the physicist who first mathematically analyzed the stability of self-gravitating toroidal rings in 1893?

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Quiz

What unusual shape would a satellite's orbit trace as it passes through a toroidal planet's central hole?

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Glossary
torus (noun)
A three-dimensional geometric surface or solid shaped like a doughnut. In 2014, Anders Sandberg modeled a toroidal Earth, calculating its day would last less than three hours.

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007skaty The rapid rotation of a theoretical donut Earth

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007skaty Days That Fly By

Days fly by, days fly by, Three short hours in the sky.

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Quiz

If a donut Earth collapsed due to slowing down, what shape would it naturally take?

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Quiz

Why must a toroidal planet rotate extremely rapidly?

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Gossip

Which donut Earth feature sounds the coolest to experience?

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