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Dynamics cheat sheet

my dynamics notes - 12000.org

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√<br />

v = |⃗v| = |⃗v r | 2 + |⃗v n | 2<br />

√ ( 2<br />

= µ<br />

r a)<br />

− 1<br />

To find γ, if r is given then use<br />

If θ is given, then use<br />

√<br />

cos γ =<br />

√<br />

ap<br />

r (2a − r) =<br />

a 2 (1 − e 2 )<br />

r (2a − r)<br />

tan γ =<br />

e sin θ<br />

1 + e cos θ<br />

18.4 Parabolic trajectory<br />

This diagram shows the parabolic trajectory<br />

18.5 Hyperbolic trajectory<br />

This diagram shows the hyperbolic trajectory<br />

70

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