Fortunately this science has already been done. The question being presented is how much the baycenter has deviated due to human activity which redistributes mass globally across the earth thus changing this gravitational center which determines earth's rotational axis that generate the four seasons. The scientific term for Earth's combined gravitational center with the moon is called the baycenter. During the study period of August 2002 to October 2008, groundwater depletion was equivalent to a net loss of 109 km3 of water, which is double the capacity of India's largest surface-water reservoir" as reported by the NASA Jet Propulsion GRACE and Tellus Gravity Recovery and Climate Experiment on their website in northwest India used terrestrial water storage-change observations from GRACE and simulated soil-water variations from a data-integrating hydrological modeling system to show that groundwater is being depleted at a mean rate of 4.0 /- 1.0 cm yr-1 equivalent height of water (17.7 /- 4.5 km3 yr-1) over the Indian states of Rajasthan, Punjab and Haryana (including Delhi). Recently it has been changing as measured by aquifer depletion using NASA's GRACE mission. This question is about the earth's axial precession. So are you in the same depth in the ocean at one side of Earth as you are in a mountain cave on the other side, of course the mountain cave brings you closest - though negligibly. Since you say mountains are denser, the centre of mass is displaced slightly towards the more mountainrich side. So there is no way I can really ask 'coordinates' of the exact center of mass of Earth, but which point on Earth's surface (=includes oceans) is closest to the center (of mass)?Īpart from the neglibility, I am not sure which answer you are looking for. I doubt there is any practical change of centre of mass. But a presumably tiny mass difference in a tiny volume fraction. If you have density values, multiply them onto the volumes and find the masses to compare. That is $2.3\%$.Īnd furthermore, presumably the density difference from ocean to mountain is not enormous. If we assume sphere-shape, the volume $V=\frac43 \pi r^3$ of Earth is $V=1.0827\times 10^$. You can't even see the crust.Ĭompare the crust of maximum 50 km in depth to Earth's radius of 6370 km. The image below is for a carbon purpose, but it shows thicknesses of the layers to scale. I'm afraid you are still severally overestimating this fraction. I know, the earth's crust is just a fraction of Earth's layers, as you can see in the picture above.
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