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There are many gravitational models for earth that extend to high accuracy, but they all apparently describe a surface of equal gravitational potential energy relative to a reference ellipsoid, which seems only useful on the surface and in a reference frame that rotates with the earth. How would one use such a model to calculate the direction and magnitude (3D vector) of Newtonian gravity force for an arbitrary 3D point in space relative to the center of earth, assuming that the instantaneous orientation of the earth is known. I'm ultimately only looking for a fairly low order approximate (4 - 10 constants) and don't care about longitudinal variations, but it must be good enough to capture the effect of the equatorial bulge on the moon and artificial satellites. 102.65.153.81 ( talk) 12:18, 5 May 2020 (UTC) Eon
Are the equations for spirals (like under the logarithmic spirals) post in any way related to the Einsteins Field Equations under that post? Since the spirals are very evident in nature and even in galaxies, I wonder if there is some relation. The math is beyond me. Tofflet ( talk) 17:18, 5 May 2020 (UTC)
Science desk | ||
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< May 4 | << Apr | May | Jun >> | May 6 > |
Welcome to the Wikipedia Science Reference Desk Archives |
---|
The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
There are many gravitational models for earth that extend to high accuracy, but they all apparently describe a surface of equal gravitational potential energy relative to a reference ellipsoid, which seems only useful on the surface and in a reference frame that rotates with the earth. How would one use such a model to calculate the direction and magnitude (3D vector) of Newtonian gravity force for an arbitrary 3D point in space relative to the center of earth, assuming that the instantaneous orientation of the earth is known. I'm ultimately only looking for a fairly low order approximate (4 - 10 constants) and don't care about longitudinal variations, but it must be good enough to capture the effect of the equatorial bulge on the moon and artificial satellites. 102.65.153.81 ( talk) 12:18, 5 May 2020 (UTC) Eon
Are the equations for spirals (like under the logarithmic spirals) post in any way related to the Einsteins Field Equations under that post? Since the spirals are very evident in nature and even in galaxies, I wonder if there is some relation. The math is beyond me. Tofflet ( talk) 17:18, 5 May 2020 (UTC)