Quote
From the following link.
The formula used derive how much force two objects are applying on each other by gravity is F=G({m1*m2}/r^2), where G is the gravitational constant (6.67*10^-11) m^3 * kg^-1 * s^-2).
So, let us plug in the numbers:
F=G({m1m2}/r^2)
F=[6.67*10^-11 * ({1.8986*10^27} * {1.9891*10^30})]/(150,000,
000^2)
F=(2.51896*10^45)/(2.25*10^16)
F=1.1952*10^44 N/s
That's 119520000000000000000000000000000000000000000 Newtons of force every second between Nibiru and the sun at its orbit.
................
So how fast would an object the size of Nibiru, moving in an elliptical orbit, be required to be traveling in order to escape the sun?
The formula for escape velocity is Vsec=[2*G*M/r]^1/2, or, the square root of [2*G*M/r] where G is the gravitational constant, M is the mass being dealt with, and r is the radius of a circle whose diameter is the distance between the objects.
Our G is 6.67*10^-11.
Our M is extracted from the N-M/kg from the first formula, so, 1.1952*10^44.
Our r is 1/2AU, so about 7.5*10^10 km.
Vsec=[2(6.67*10^-11)*(1.1952*10^44)/(7.5*10^10)]^(1/2)
Vsec=({1.5994*10^34}/{7.5*10^10})^(1/2)
Vsec=(2.2126*10^23)^(1/2)
Vsec=1.487*10^7 km/sec.
This means that Nibiru's escape velocity must be 14,870,000 kilometers per second.
To put this utter absurdity into perspective, this is NEARLY SEVEN TIMES THE SPEED OF LIGHT!
Sorry, but as an (among many other nerdinesses) astronomy nerd I have to take issue with this. The math here is incorrect.
While the Herclobus nonsense is INDEED nonsense, the math presented here is fundamentally flawed in three ways. First, SOMEHOW the mass of the sun was increased from around 2*10^30 kilograms by 14 orders of magnitude in the escape velocity calculation. Second, the calculations were done with the radii (always found in the denominators) in KILOMETERS instead of METERS, increasing the figure of the force between them by a factor of 1,000,000 and the escape velocity by (1000)^(1/2). Third, something
terrible happened to the units in the force calculation - I'm not even sure what a newton per second even
means.
Corrected calculations:
Force between them:
F= G M1 M2 / (R^2)
= [6.67*10^-11 * ({1.8986*10^27} * {1.9891*10^30})]/(150,000,000,000^2)
=1.119*10^25 N = 11190000000000000000000000 N
Escape Velocity:
VEsc = [(2*G*M1)/R]^(1/2)
=[2 * (6.67*10^-11) * (1.9891*10^30) / 150,000,000,000]^(1/2)
=42059 m/s = 42 km/s
The bad math jumped right out at me, sorry, I HAD to correct it. One must always remain skeptical and think critically about what one reads - think about it, if something couldn't escape the sun at a distance of one AU, it would mean the sun was a black hole with at least that radius!
Very important to note though -this does NOTHING to lend credit to the Herclobus nonsense though - were something like this out there one could see it with their own eyes, possibly IN DAYLIGHT.
Edited by Torgo, 19 September 2009 - 06:09 AM.