Why do planets orbit stars?



Planets orbit stars because they are not traveling fast enough to escape the star's gravity well but are traveling fast enough to not fall into the star.



Stars are massive. That mass causes spacetime to curve. The curvature of spacetime is gravity.



But you must imagine that it is 3-dimensional. So, a gravity well is like a funnel. The planet is in the funnel and must travel around it to not fall further into it. 



The coin can't escape because it would need an added force to accelerate it. In the case of this funnel, friction slows the coin down, so it does eventually fall in to the center.



Remember Newton's First Law of Motion:



An object at rest will remain at rest unless acted on by an unbalanced force. An object in motion continues in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

The forces are balanced for a planet, so it just keeps on doing what it was doing.



 



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If an astronaut fell over a 300 ft cliff on The Moon, would the low gravity save him, and would he bounce?



It’s not the fall that kills you, it’s the sudden stop at the bottom.



Bouncing doesn’t come into it. The question is, how fast are you going when you hit something. The faster you are going, the more energy you contain when you hit the ground—energy that now tries to break bones and crush organs like tomatoes on the windscreen of a passing car.



On Earth, the general rule of thumb is that you risk serious injury from any fall higher than you are. On the moon that would have to be adjusted; lunar gravity is only 1/6th as strong, but there is no air—so you will never reach a “terminal velocity” beyond which you don’t speed up any further.



If an astronaut fell 300 feet on the moon, that’s a 91.44 meter drop at 1.633 meters per second per second acceleration (we’ll do this in metric because metric isn’t a stupid, byzantine measuring system). With no air resistance at all, our hapless astronaut will hit the ground after 10.6 seconds, at a velocity of 17.2 meters per second.



How dangerous is that? Well on Earth, to hit the ground at 17.2 meters per second (ignoring air resistance), you’d have to fall from a height of 15.2 meters, or 49.8 feet, or the roof of a five story building. Onto rock or dry sand. Does that sound like a good idea?



No. Such a drop would likely break the spacesuit and would certainly break the occupant.



 



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Is it true that travel to Mars can occur only once in every two years? If so, why is that so?



It isn't true that travel can only occur every two years, but the conditions are far more optimal at those times, essentially making other times unconsidered.



There are different types of Earth-Mars mission trajectories. They don't all start when Mars and Earth are close. There are multiple factors involved, including whether or not the spacecraft is to come home, whether a gravity assist from Venus is available, and the capabilities of the launch vehicle. However, for the typical one-way mission to get a probe or rover to Mars, we do indeed launch when Mars and Earth are fairly close.



Mars and Earth are at their closest to each other when they are at opposition. However, we don't actually want to launch at this point. We want to launch before this point.



We want to use a minimum energy transfer orbit in order to use the least amount of fuel. A Hohmann transfer orbit does this. Our spacecraft starts at Earth's orbit. A Hohmann transfer orbit uses a burn at the starting point (periapsis) that increases the aphelion of the orbit such that it occurs at the orbit of Mars. This will be 180-degrees later in the orbit.



So, our goal is to time the launch such that Mars will be at that same location when the spacecraft gets there. Since Mars is in a larger orbit, it takes longer to move the same angular distance as the Earth. That means we need Mars to be ahead of Earth when we launch our spacecraft.



We calculate the period of the orbit that our spacecraft will be in. That turns out to be about 520 days. Our spacecraft is traveling half of an orbit, so our trip will be about 260 days. Mars has an orbital period of 687 days. In 260 days, Mars will travel an angular distance of 136 degrees. That means the optimal time to launch the spacecraft is when Mars is 44 degrees (180-136) ahead of Earth in its orbit, as shown below. That means we launch the spacecraft about three months before Mars and Earth are at their closest.



 



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Why do astronauts in space sleep while standing?



On Earth, gravity pulls down on us. In the standing position, that means our head is pressing on our neck, our neck is pressing on our torso, our torso is pressing on our legs, and our legs are pressing on our feet. We lie down, partly, because in doing so we spread the load across our body, taking a lot of stress off of the lower parts of our body.



We also lie down because it leaves us in a stable position, so we don't have to worry about losing our balance and falling, once we are asleep and no longer actively maintaining our balance.



In an orbiting spacecraft, we are in free fall, so we experience weightlessness. All of those red arrows (loads from gravity) disappear. The body now experiences no change in loading from the vertical to the horizontal position. Both are equally stable and both feel the same.



So, sleeping is done in whatever position best fits the available room.



 



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