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Q. Illustrate what path does an asteroid take?
Answer:-
The asteroid will forever take the path minimizing its Lagrangian recognized as the least action principle in Lagrangian mechanics. With conservative forces there are four fundamental shapes for two different cases either the asteroid is trapped in the gravitational pull of an object or it is not trapped. If the asteroid's energy is little enough to be trapped then it can have either a circular or elliptical orbit. If it isn't trapped then this free asteroid (much like a free electron) can have either a parabolic or a hyperbolic path. A lot of this information came from Classical Mechanics by kibble and Berkshire even though there are much better books.
Is it possible to see your whole body in a flat, planar mirror that is LESS THAN half your height if the mirror is at an angle? (i.e. not parallel to your body)
Q. If the moons orbit is inclined somewhat relative to the Earth's orbit what effect does this have on eclipses? Answer:- This makes eclipses rarer as well as if the moon's
Working
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