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From: | Marcus D. Leech |
Subject: | Re: Doppler |
Date: | Mon, 1 Jan 2024 20:25:01 -0500 |
User-agent: | Mozilla Thunderbird |
I, ahem, can't math tonight!Liya,
Doppler shift Δf is proportional to both speed and carrier frequency f₀
Δf = f₀ · v/c₀,
where v is the relative speed of your thing, and c₀ is the speed of light.
The highest frequencies we can, so far, do radio communications on, are in the range of f₀=150 GHz.
So, assuming you do communications on 150 GHz, for your Doppler shift to be Δf=10 GHz higher after 1s, your acceleration must been
a = Δf / f₀ · c₀ / 1s = 10 GHz / 150 GHz · 3·10⁸ m/s / s = 2/30 · 3·10⁸ m/s² = 1/15 c₀/s.
The fastest object mankind has ever built is the Parker Solar Probe, which will burn up while it spirals into the sun, at a maximum velocity of ca 1/15 of the speed of light. It takes it years to reach that speed, not 1s.
So, you're assuming you're seeing a doppler from a satellite rotating around earth that sees a relative acceleration higher than a "satellite" around the sun actively being pulled into the sun by the sun's immense gravity.
That sadly makes no physical sense!
Best regards,
Marcus
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