Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 27, Problem 28Q
To determine

The size (in km) of the smallest detail that a system consisting of several extremely high-resolution infrared telescopes in space with an effective diameter of 6000 km and radiation of wavelength 10 mm, will be able to resolve on the planet’s surface, if it observes an Earth-like planet orbiting the star Epsilon Eridani, which is 10.5 ly from Earth.

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What diameter telescope is needed to resolve the separation between an Earth-like planet and its star at 550 nm if the linear separation between them is 1 AU and the star system is 1 pc from Earth?
Calculate how long radio communications from the spacecraft will take when it encounters Mars.  The furthest distance from Earth to Mars is 2.66 AU.  Remember that 1 AU = 1.5 x 1011 m and that light travels at 3 x 108 m/s.  So how long will the radio messages take to travel this greatest distance of 2.66 AU?           If two way communication between the Earth and the spacecraft involve a 1 s time lapse before an acknowledging signal is sent by the spacecraft, how long a time is there between sending a command to the spacecraft and receiving a reply?
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