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Can a space tippe top come to be? This can be checked by a simple test inside a spacecraft orbiting Earth: when a top is spun in a retrograde direction at a speed comparable to the minute hand of a clock, the top may invert within half a day. If so, an old idea of planetary inversion may be revived to make realistic the scenario: the ancient equator glaciation was caused by poor sunshine due to long lying sideways in the middle of inversion over a period of 4.6 billion years; an alternative to the Snowball Earth hypothesis. Chapter 1 Riding on a merry-go-round – A gimbal-mounted gyroscope inverts and aligns with the direction of revolution – Chapter 2 Riding on the International Space Station – Can a space tippe top come to be? – Chapter 3 Planetary inversion – An alternative to the Snowball Earth hypothesis –