Here \ Theta is the angle between the asymptotes of the hyperbolic orbit of the small object relative to the large one, and \ epsilon is the eccentricity of this orbit ( which must be greater than 1 for a hyperbolic orbit ).
22.
:: : : : This is untrue, unless you consider a hyperbolic orbit to be a true orbit; beyond the Local Group, galaxies are not gravitationally bound .-talk ) 15 : 40, 18 July 2012 ( UTC)
23.
Keeping the energy constant and reducing the angular momentum, elliptic, parabolic, and hyperbolic orbits each tend to the corresponding type of radial trajectory while " e " tends to 1 ( or in the parabolic case, remains 1 ).
24.
Any extrasolar meteoroid would have a hyperbolic orbit, but less than 1 % of the observed meteoroids have such, and the process of perturbation of ordinary ( terrene ) solar objects, by planetary encounters, into hyperbolic trajectories accounts for all of those.
25.
The " Skydiver " reaches the neutron star, and the ship's autopilot puts the " Skydiver " into a hyperbolic orbit that will take 24 hours to reach periapsis with BVS-1, passing a mile above its surface.
26.
:: If such a star fell into a galaxy it would travel so fast through it, that it would probably come out the other side in a few dozen million years in a hyperbolic orbit . talk ) 22 : 21, 1 September 2009 ( UTC)
27.
One way to look at it is to realise that the laws of gravity are completely time symmetric, so if it is possible to go from a hyperbolic orbit to an elliptical one, it is possible to do the reverse-that means you can break orbit without needing to fire your rockets, which is clearly not true .-- talk ) 23 : 29, 7 December 2008 ( UTC)
28.
The effect of " burning off energy at the periapsis " is to convert an open, hyperbolic orbit into a closed, elliptical one, or if the orbit is already elliptical, to lower the apoapsis . ( In a two-body situation, once you have an elliptical orbit, it always continues to pass through the point where a force was last applied, i . e . the atmosphere . ) Atmospheric drag could " capture " an object into collision with the ground, but not into an orbit above the atmosphere .-- Anonymous, 20 : 29 UTC, July 11, 2009.
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