- #1
andehpandeh
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I just watched the first 10 minutes of a documentary that seemed to touch on Walter Crutenberg's premise of our Sun being a binary twin of Sirius. Sirius A and B are separated by (at most) ~31 AU (1 AU = distance from Earth to Sun, 149,598,500 km). The Sirius system is 8.6 ly from Earth.
Distance traveled in a year = speed in km/sec X seconds
= 9,467,280,000,000 km = 1 Light Year
1 AU = 149,598,500 km
9,467,280,000,000 km
___________________ = 63,284.6 AU's in a LY
149,598,500 km
Now let's measure the gravitational force between the two systems:
F = Gm1m2
_________=
r^2
G is the gravitational constant, M1 is the mass of the Sun, M2 is the mass of the Sirius system ~ 3x the mass of our Sun.
F = (6.6726x10^-11)(1.989×10^30kg)(5.963x10^30kg)
___________________________________________________=
8.142x10^13km
= 1.194x10^23 Newtons
By comparison, the Sun/Earth force is 3.54x10^22 Newtons
My hypothesis was that the force between the Sun and Sirius would be insignificant given the vast expanse between them. Is there something the matter with my maths?
Distance traveled in a year = speed in km/sec X seconds
= 9,467,280,000,000 km = 1 Light Year
1 AU = 149,598,500 km
9,467,280,000,000 km
___________________ = 63,284.6 AU's in a LY
149,598,500 km
Now let's measure the gravitational force between the two systems:
F = Gm1m2
_________=
r^2
G is the gravitational constant, M1 is the mass of the Sun, M2 is the mass of the Sirius system ~ 3x the mass of our Sun.
F = (6.6726x10^-11)(1.989×10^30kg)(5.963x10^30kg)
___________________________________________________=
8.142x10^13km
= 1.194x10^23 Newtons
By comparison, the Sun/Earth force is 3.54x10^22 Newtons
My hypothesis was that the force between the Sun and Sirius would be insignificant given the vast expanse between them. Is there something the matter with my maths?