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Astrodynamics 102 - DerAstrodynamics.com

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Solution is<br />

guaranteed<br />

Bounded Independent Variable<br />

Bounded x Unbounded x<br />

0 solution<br />

x<br />

Good choice of independent variable:<br />

1. x is bounded<br />

2. Slope d/dx is fit for many<br />

iterative methods<br />

non-dimensional<br />

transfer time<br />

= o is given<br />

o 2 solutions<br />

o 1 solution<br />

<br />

Poor choice of independent variable:<br />

1. x is unbounded<br />

2. Slope d/dx is unfit for most<br />

iterative method<br />

Uncertainties in:<br />

1. Initial guess of x<br />

2. Convergence<br />

2 solutions?<br />

Slope<br />

(d/dx)<br />

x

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