Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 4, Problem 24CC
To determine

Whether a small celestial object on a hyperbolic orbit, when passing by a moon-less planet, gets captured as a moon of that planet or not.

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What are the speed and period of a satellite in an 85.00 km altitude lunar orbit? (what is Rmoon?) (mu_moon = 4903 km^3/s^2; v = 1.640 km/s)
In order better to map the surface features of the Moon, a 307 kg imaging satellite is put into circular orbit around the Moon at an altitude of 137 km. Calculate the satellite's kinetic energy ?, gravitational potential energy ?, and total orbital energy ?. The radius and mass of the Moon are 1740 km and 7.36×1022 kg.
Suppose an asteroid has a tiny moon orbiting around it (which does occur). If the moon is 1.1 km wide, is 142 km from the center of the asteroid (which is 36 km in diameter), and assuming the moon has a circular orbit around the asteroid of period 36 hours, what is the mass of the asteroid? m = kg [Note: Use exponential notation for your answer with a format "9.99E12" for 9.99 x 1012.] What would the radius of the orbit of the same tiny moon be if it had an orbital period of 50.9 hours? Give your answer in km: R = km What is the density of the asteroid? Recall that density is mass per unit volume. The volume of the asteroid can be calculated based on its diameter (assume it is spherical in shape). Р kg/m³
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