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distance_calc.pdf

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Summary

Kepler's law for circular orbits is given by the equation:
(
3
2
Star
Dual
of
Mass
Sun
of
Mass
G
D
N
+

=

where N = 2 Pi / T, T = period of revolution in seconds, D = average distance between Sun and Dual Star in meters, and G = gravitational constant.
Given values are: G = 6.672 10^-11 N m^2 kg^-2, MSUN = 1.9891 10^30 kg.
The equation can be simplified to:
D^3 = (MSUN + MDUAL) G T^2 / (4 Pi^2).
For a Dual Star with mass 0.06 MSUN (Brown Dwarf), the average distance is 0.01336 L.Y. or 848.5 A.U.
For a Dual Star with mass 6 * M_SUN (Black Hole), the average distance is 0.02384 L.Y. or 1515 A.U.
These distances are averages, and the actual distance at apoapsis may be 2 to 6 times greater, depending on the eccentricity of the orbit.
The two bodies rotate around each other and their Center of Gravity every 24,000 years.
Relative velocity is slowest at apoapsis and fastest at periapsis, resulting in variations in the measured period.

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Description

Kepler's law for circular orbits is given by the equation:
(
3
2
Star
Dual
of
Mass
Sun
of
Mass
G
D
N
+
*
=
*
where N = 2 Pi / T, T = period of revolution in...

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File Format: PDF
File Size: 1023 KB
Pages: 2
Language: EN
Total Downloads: 202
Last Updated: 2 days ago

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