Math Flashcards

1
Q

Spherical law of cosines for sides

A

cosa = cosbcosc + sinbsincccosA

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2
Q

Spherical law of cosines for angles

A

cosA = -cosBcosC + sinBsinCcosa

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3
Q

reduced mass

A

µ = m1m2/(m1 + m2)

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4
Q

area of an ellipse

A

πab

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5
Q

ellipse radius formula

A

a(1-e^2)/(1+ecosΘ)

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6
Q

parabola radius formula

A

2p/(1+cosΘ)

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7
Q

hyperbola radius formula

A

a(e^2 - 1)/(1+ecosΘ)

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8
Q

theoretical resolution of a telescope

A

=1.22λ/D

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9
Q

equilibrium temperature of a planet

A

Tp = Ts * (1-a)^1/4 * (Rs/2D)^1/2

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