Of course the most basic shape for me would be the sphere, but in our understanding of the earth and the images that we see of earth, our view is shattered by the first time we seen this enormous object, from the eyes of those who had always been earth bound and restricted to the calculation of a abstract world.
Now it is not so round, and the views we recieve of this information help us to understand a few things about the way in which we will look at the earth and its weak field manifestation, as one extreme of the whole gravitational framework we like to understand over this complex perspective of our cosmos from the very strong gravitational foreces, to the very weak.
Gravity is the force that pulls two masses together. Since the earth has varied features such as mountains, valleys, and underground caverns, the mass is not evenly distributed around the globe. The "lumps" observed in the Earth's gravitational field result from an uneven distribution of mass inside the Earth. The GRACE mission will give us a global map of Earth's gravity and how it changes as the mass distribution shifts. The two satellites will provide scientists from all over the world with an efficient and cost-effective way to map the Earth's gravity field.
The primary goal of the GRACE mission is to map the Earth's gravity field more accurately than has ever been done before. You might ask, how will GRACE do this? Two identical spacecraft will fly about 200 kilometers apart. As the two GRACE satellites orbit the Earth they are pulled by areas of higher or lower gravity and will move in relation to each other. The satellites are located by GPS and the distance between them is measured by microwave signals. The two satellites do not just carry science instruments, they become the science instrument. When mass moves from place to place within the Earth's atmosphere, ocean, land or frozen surface (the "cryosphere"), the gravity field changes.
Highlighting in bold, it would not be necessary to go into a full explanation if we considered in context the cosmic string and clumping in our universe? But I have moved to far from the point of reference of our two systems of consideration here so back to the next point.
NASA's Earth Science Enterprise funded this research as part of its mission to understand and protect our home planet by studying the primary causes of climate variability, including trends in solar radiation that may be a factor in global climate change.
One of the interesting ideas in these shapes is understanding what can cause disturbances within their fields and how we might look at these issues if we move our consideration from the normals views of measure stick and straight lines, to variations we have demonstrated on earth(hills and valleys). To how we would percieve "resonance" created in the sun, and use this, to determine the volatile solar coronas that would be ejected into space but of weather systems affected as well. This is a good monitoring tool fore warning system that could affect communication within the sphere of our own influence.
But let me take this one step further, in that we consider both these frames, in context of each other and ask the connection in lagrangian way. How would we see gravitational points of consideration related to each other? Would this help those less inclined to understand the variations in perspective of gravity to comprehend the value Einstein lead us through, to take us to a much more dynamical view of the cosmos?
So in the one sense to take what we know of the formulation at a euclidean level and move it accordingly, to cosmological perspectives. This is a apprehenson of Gr that we are geometrically lead through, to perspectives of the space we would now enjoy of Gauss. Having Reimann views here of spherical consideration, we understand well, the developing roads to mathematical perspective debated and shunned by Peter?:)
So looking at the way in which we entertain the earth view, and how we interpret the sun, we do not limit our views just to the spherical balls one might like to say is self evident, but having the knowledge of what we are lead through geometrically as well as toplogically, it becomes a much more interesting reality to entertain.
A Happy News Years to all those who visit:)