banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Encounter of an asteroid with a planet
Rent this article for


Image of Fig. 1.
Fig. 1.

A sample hyperbolic trajectory of an asteroid that makes a tangential collision with the planet Jupiter, shown as the semicircle of unit radius centered on the origin. The straight line is the asymptote of the incoming hyperbola as defined by the velocity at infinity and the parameter . In this example , , , , and the asymptote intersects the axis of symmetry at . All dimensions in this diagram are in units of the planet’s radius.

Image of Fig. 2.
Fig. 2.

A family of four encounter trajectories to the planet Jupiter for . The four approach asymptotes that are parallel and in the same plane, with , 6.30, 4.20, and 2.10, respectively, from right to left. The left-most trajectory results in a collision with the planet, but is drawn as though the entire mass of the planet were concentrated at its center. All dimensions in the diagram are in units of the planet’s radius as in Fig. 1. Note that the axes of symmetry of the several trajectories rotate counterclockwise as increases.


Generic image for table
Table I.

Data for several planets and calculated values of .


Article metrics loading...


Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Encounter of an asteroid with a planet