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Physics, Astronomy & Cosmology / Re: Earth Gravity anomaly
« on: 01/03/2012 03:38:35 »
Sorry, mate, I can't help you. Newtonian gravity doesn't account for energy impacting local gravitational values.
Newtonian physics can explain the local value of gravity in terms of variable density about a body, a rotational reference frame, and the distance from the point of interest to the point mass center of the system.
You start with Fgravity = m * a = G * Mearth * m / r2
Good news: the lower case "m" terms cancel.
Bad news: You have to use the vector form of the equation and the acceleration term has to be that of a non-inertial rotating reference frame. Change the Mearth term into the volume integral of density as a function of distance from the point of interest. The radius term in the denominator will remain the distance from the point of interest to the equivalent point mass of the system, but needs to be a vector. This is beyond my mathematical abilities to even write correctly.
If you'd like to see energy effects on gravity, you need to use the General Theory of Relativity. That is well beyond my area of expertise.
I know this is unsatisfying. My apologies.
Newtonian physics can explain the local value of gravity in terms of variable density about a body, a rotational reference frame, and the distance from the point of interest to the point mass center of the system.
You start with Fgravity = m * a = G * Mearth * m / r2
Good news: the lower case "m" terms cancel.
Bad news: You have to use the vector form of the equation and the acceleration term has to be that of a non-inertial rotating reference frame. Change the Mearth term into the volume integral of density as a function of distance from the point of interest. The radius term in the denominator will remain the distance from the point of interest to the equivalent point mass of the system, but needs to be a vector. This is beyond my mathematical abilities to even write correctly.
If you'd like to see energy effects on gravity, you need to use the General Theory of Relativity. That is well beyond my area of expertise.
I know this is unsatisfying. My apologies.