Physics — Binary Orbits & Barycentre
Two-body orbits about a common centre of mass.
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m_1 r_1 = m_2 r_2
T^2 = \frac{4\pi^2 a^3}{G(m_1 + m_2)}
v = \frac{2\pi r}{T}
\text{barycentre lies between the masses}
Two-body orbits about a common centre of mass.
m_1 r_1 = m_2 r_2
T^2 = \frac{4\pi^2 a^3}{G(m_1 + m_2)}
v = \frac{2\pi r}{T}
\text{barycentre lies between the masses}