MadSci Network: Astronomy |
That's a very interesting and complex question! I hope I can explain it well enough: let's give it a try. GPS satellites actually don't need gravity to work: all gravity does is keep them in orbit around the Earth. In principle, GPS satellites could work in orbit around the Sun, or even around a galaxy (of course, faster- than-light radio would be needed to make a galactic GPS work because the distances are so huge, but in Star Trek they already have that!) What GPS and all other navigation systems need are some sort of reference frame to base their positions upon. Everything else is then described in terms of where they are from that reference. For example, in your house you might say the front door is your starting point, and facing directly in the door is your starting position. Every point in your house can be described by how far forward and how far to the left or right you would walk to get there. In my house, the bathroom is three feet to the left of the front door, then straight into the house for twenty feet. We can generalize even more by creating a grid of the house, and designate anything to the left of the door as a negative direction and to the right of the door as a positive direction. Forward in to the house is also positive. The bathroom can then be described by a pair of numbers for how far to the left and how far into the house it is: since we went two feet left (the negative direction for left-right movemement) and twenty feet into the house (the positive direction for front-back movement) the location of the bathroom can be written as (-2,20). The first number is the left/right move, and the second is the forward-back. If you need to show distance above the ground in your house, you will need to add a third direction to your grid - up/down. If you make up positive and down negative, you can then describe any point in the volume of your home (one foot right of my front door, three feet forward, and five feet up is the hook I hang my hat on: in our grid the hook is at point (1,3,5) indicating one foot, three feet, and five feet. In space, everything can be described by selecting a distance unit (feet, parsecs, meters, or whatever is useful), setting a zero point, then setting a base line to define "forward" and "back", a direction as "left" or "right", and s line as "up" and "down". The position of any object is then given by distance up, down, left, right, forward or back from the starting point - and only groups of three numbers are needed for the entire universe! If you'd like more detail on how coordinates and directions are set for outer space, check out the following sites: http://www.seds.org/~spider/spider/ScholarX/coord_bas.html http://www.seds.org/~spider/spider/ScholarX/coords.html I hope this helps!
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