text: where  is the angle the smaller body is deflected from a straight line in its course.
  Equations of motion
  Position
  In a hyperbolic trajectory the true anomaly  is linked to the distance between the orbiting bodies () by the orbit equation:
  The relation between the true anomaly  and the eccentric anomaly E (alternatively the hyperbolic anomaly H) is:
  or          or
  The eccentric anomaly E is related to the mean anomaly M by Kepler's equation:
  The mean anomaly is proportional to time
  where μ is a gravitational parameter  and a is the semi-major axis of the orbit.
  Flight path angle
  The flight path angle (φ) is the angle between the direction of velocity and the perpendicular to the radial direction, so it is zero at periapsis and tends to 90 degrees at infinity.
  Velocity
  Under standard assumptions the orbital speed () of a body traveling along a hyperbolic trajectory can be computed from the vis-viva equation as:
  where:
  is standard gravitational parameter,
  is radial distance of orbiting body from central body,
  is the (negative) semi-major axis.
  Under standard assumptions, at any position in the orbit the following relation holds for orbital velocity (), local escape velocity () and hyperbolic excess velocity ():