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#

Hyperbolic orbits

For the case of a hyperbolic orbit about the Sun, characterized by
,
similar analysis to that in Section 4.11 gives,

Here,
is termed the *hyperbolic anomaly*, and varies between
and
, with the perihelion point corresponding to
. Moreover,
. As in the elliptical
case, Equation (4.105) is a transcendental equation that is most easily solved numerically.

Richard Fitzpatrick
2016-03-31