How Can I Calculate Light-Years To Years For Andromeda?

2025-08-30 18:10:55 239

3 답변

Leila
Leila
2025-09-02 12:08:55
Okay, here’s the practical way I think about it — a light-year is literally the distance light travels in one year, so converting light-years to years for light itself is trivial: 1 light-year = 1 year (for light). If someone says Andromeda is about 2.537 million light-years away (a commonly used modern estimate, often rounded to ~2.5 million ly), that means light from Andromeda takes about 2.537 million years to reach us.

If you want to know how many years it would take for something else (a spaceship) to get there, you divide the distance in light-years by the ship’s speed as a fraction of the speed of light. In formula form: time (years) = distance (ly) / (v/c). So at 0.1c you’d need ~25.37 million years, at 0.5c ~5.074 million years, at 0.9c ~2.819 million years.

If you’re feeling nerdy about relativity: the travel time measured by people on the ship (proper time) is shorter because of time dilation. The proper-time formula is tau = t * sqrt(1 - (v/c)^2), where t is the external-frame time (distance divided by speed). For example, for v = 0.9c the external time is ~2.819 million years but the ship’s clocks would read ~1.23 million years. For v = 0.99c, external time ≈ 2.562 million years and proper time ≈ 361,000 years. Practically speaking, though, we’re talking timescales far beyond human scales, which is why Andromeda is usually discussed in terms of light travel time rather than human travel time. Also cute sci-fi note: Andromeda is moving toward us and will merge with the Milky Way in a few billion years, so any hypothetical voyage has a very different cosmic context than a static postcard.
Emily
Emily
2025-09-04 05:09:19
I like to keep this simple: if you mean how long light takes to get here from Andromeda, just read the number in light-years as years — so a distance of ~2.5 million light-years means light needs ~2.5 million years. That always surprises people in conversation; I’ll sometimes say it like, “your Instagram post would arrive 2.5 million years late,” and folks laugh but it gets the point across.

If you want a travel-time estimate for a spacecraft you need the ship’s speed relative to light. Use time = distance / speed, but express speed as fraction of c. Example quick math: at 0.1c the trip is roughly 25 million years; at 0.5c it’s about 5 million years. Even at 99% of light speed you’re still looking at a few million years by outside observers. If you care about what the travelers would experience, throw in relativistic time dilation: their onboard time can be substantially less (for 0.99c the crew might age a few hundred thousand years instead of a couple million).

A little aside since I love the science history: measurements of Andromeda’s distance have improved a lot since Edwin Hubble, but any of these numbers are approximate. Also, if you’re writing a story or doing a thought experiment, think about whether you want coordinate time (what an Earth observer measures) or proper time (what passengers experience) — it changes the narrative a lot, like in 'Interstellar' or some of my favorite hard-SF reads.
Xavier
Xavier
2025-09-04 09:27:50
If you want the blunt conversion: a light-year is the distance light travels in one year, so for light itself the time equals the number of light-years. Andromeda ≈ 2.5 million light-years away, so light takes about 2.5 million years to get here. For anything traveling slower, do time (years) = distance (ly) ÷ (speed as fraction of c). So at 0.1c it’s ~25 million years, at 0.5c it’s ~5 million years, and at 0.9c it’s ~2.82 million years.

If you want what the travelers feel, multiply that travel time by sqrt(1 - (v/c)^2) to get the onboard time (so high speeds shorten subjective time a lot, but you still deal with enormous numbers). Practically speaking, even optimistic relativistic speeds leave you with journeys far longer than human lifetimes, which is why Andromeda is mainly a look-back-in-time object for telescopes rather than a destination for rockets.
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