astronomy questions help?

John

New member
hey everyone i need help with these four problems i have no clue what to do

The acceleration due to gravity at Earth’s surface is 9.80 m/s2. What is the gravitational acceleration at altitudes of (a) 100 km, (b) 1000 km, (c) 10,000 km? Take Earth’s radius to be 6400 km.


An asteroid has a perihelion distance of 2.0 AU and an aphelion distance of 4.0 AU. Calculate its orbital semimajor axis, eccentricity, and period.



To an observer on Earth, through what angle will Mars appear to move relative to the stars over the course of 24 hours when the two planets are at closest approach? Assume for simplicity that Earth and Mars move on circular orbits of radii 1.0 AU and 1.5 AU, respectively, in exactly the same plane. Will the apparent motion be prograde or retrograde



What would be the length of the synodic month if the Moon’s sidereal orbital period were (a) 1 week (7 solar days); (b) 1 (sidereal) year?
 
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