• Pixel-art sticker of Retrogra, personifying Apparent Retrograde Motion, with the caption “I'm Not Going Backwards.”

IndexRelativity & CosmosSticker

Retrogra

Apparent Retrograde Motion Physics

\[\text{apparent path}\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
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Meet Retrogra, a Mars who is not really going backwards. About every 26 months Earth overtakes her on the inside track, and for a few weeks she seems to drift backwards against the stars, then carries on. The art draws a schematic loop in code. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Flat $6 shipping on every order, worldwide, whatever's in it.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Meet Retrogra, a Mars who insists she is not really going backwards.

Most nights Mars drifts slowly eastward against the background stars. But for a few weeks around the time Earth passes it, Mars seems to stop, loop back westward, then carry on. The planet never reverses. We watch from a moving platform: Earth, on its smaller, faster inner orbit, overtakes Mars, and our line of sight to Mars swings backwards against the far stars, just as a slower car seems to slide backwards as you pass it.

Earth laps Mars about every 780 days, roughly every 26 months, so the backward loop repeats on that rhythm, centred on the time Mars is opposite the Sun in our sky.

Explaining this loop simply was a big argument for the Sun-centred model that Nicolaus Copernicus published in 1543, replacing the earlier system of epicycles. The same overtaking effect makes every outer planet show retrograde loops.

The sticker's loop is a schematic, drawn in code. Real loops tilt and vary in shape because the orbits are elliptical and slightly inclined to each other.

Equations

\[\text{apparent path}\]
\[= \text{Mars} - \text{Earth}\]
Symbols
SymbolMeaningUnit
\(\text{apparent path}\) direction to Mars seen from Earth against the stars —
\(\text{Mars}\) position of Mars around the Sun \(\mathrm{m}\)
\(\text{Earth}\) position of Earth around the Sun \(\mathrm{m}\)