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Thread View: alt.destroy.the.earth
1 messages
1 total messages Started by Dave Gordon Wed, 27 Jan 1993 20:07
Physical Constants List (repost)
#372
Author: Dave Gordon
Date: Wed, 27 Jan 1993 20:07
111 lines
3445 bytes
As I suggested a few months ago, this group seems to be in need of
some numerical values to plug into its proposed schemes.  So I have
started compiling a list of physical, mathematical and astronomical
values and equations.  These are taken from various sources, and
I have converted them all to SI (using the units(1) program).  If
anyone has any corrections, improvements, or suggestions, please
mail them to me and I will incorporate them into the next version
of this list.

========================================================================

Mathematical Constants
======================

Quantity			Symbol		Value		Units
========			======		=====		=====

				pi		3.1415927
				e		2.7182818

Equations
=========

Circumference of a circle of radius r

	C = 2*pi*r

Area of a circle of radius r

	A = pi*r^2

Surface area of a sphere of radius r

	A = 4*pi*r^2

Volume of a sphere of radius r

	V = (4/3)*pi*r^3

Physical Constants
==================

Quantity			Symbol		Value		Units
========			======		=====		=====

Speed of light			c		2.99792458e8	m s^-1
Plancks constant		h		6.626176e-34	J s
Plancks constant		hbar		1.054589e-34	J s
Gravitational constant		G		6.672e-11	N m^2 kg^-2
Charge on an electron		e		1.6021892e-19	C
Mass of an electron		m(e)		9.109534e-31	kg
Mass of a proton		u		1.6605655e-27	kg
Avogadro's number		n(A)		6.022045e23
Boltzmann's constant		k		1.380662e-23	J K^-1
Molar volume at STP		Vm(STP)		2.241383e-2	m^3

Equations
=========

Gravitational attration between two masses m1 and m2 separated
by a distance d (Newton)

	F = G*m1*m2*d^-2

Mass-energy equivalence (Einstein)

	E = m*c^2

Astronomical Constants
======================

Quantity			Symbol		Value		Units
========			======		=====		=====

Mass of the Earth		m(E)		6e24		kg
Mass of the Moon		m(L)		7e22		kg
Mass of the Sun			m(S)		2e30		kg
Radius of the Sun		r(S)		7e8		m
Temperature of the Sun (surface)		6e3		K
Temperature of the Sun (core)			1.4e7		K
Total solar radiation				4e26		W (J s^-1)
Distance Earth-Sun		au		1.495979e+11	m
Light-year			ly		9.460530e+15	m

Equations
=========

Radius of a (spherical, non-rotating) black hole of mass m (Schwartzchild)

	r = 2*G*m*c^-2

========================================================================

So, as an example, I can use these figures to calculate the incident
solar radiation at a distance of 1au:

			Total solar radiation
		------------------------------------
		Surface area of sphere of radius 1au

	4e26/(4*pi*1.495979e+11^2)	= ~1400 W m^-2

Thus a mirror in Earth orbit could collect well over *1GW* per square
kilometre, even after allowing for losses. That's a lot of power - surely
someone can find an application for it (diverting asteroids springs to mind)!

-- 

===============================================================================
Dave | dsg@imp.co.uk | +44 753 516599 | I am not a .sig virus, I am a free bug!
===============================================================================
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