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Let's simplify this in every possible way we can.

Earth travels a nearly-circular path around the sun, with an average radius of 93 million miles.

Pluto travels a less-circular path around the sun, with an average distance of 3.67 billion miles,
and tilted 17.2 degrees to the plane of the earth's orbit.

Let's ignore the tilt, assume both orbits are circular, and the average distance is the radius of the respective circle.

Then the MINIMUM distance from Pluto to Earth occurs when they're lined up, i.e. both in the same direction
from the sun. At that point, they're (3,670 - 93) = 3,577 million miles apart.

The speed of light is 186,282 miles per second. So the time required to communicate ONE-WAY by radio
over this distance is

(3,577,000,000) / (186,282) = 19,202 seconds

= 5hours 20minutes

==============================================

At their MAXIMUM distance ... with earth on one side of the sun and Pluto directly across on the other side ...
the distance between them is (3,670 + 93) = 3,763 million miles.

The one-way radio time from Pluto to the Earth (directly through the sun) is

(3,763,000,000) / (186,282) = 20,201 seconds

= 5hours 37minutes

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15y ago

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