Comet
simulation
This simulation adds
a comet (an imaginary one) to the Solar system. It shows the comet's orbit
- it doesn't (yet) show what you would see of an real comet (as long as it
was bright enough); its coma and tail as it passes near the Sun.
The simulation displays two simultaneous views of the Solar system; a selection
of mostly 3D views and and a choice of (top, front
or side) plane views that allow you to change the velocity objects in the
simulation.
The plane views show the velocity (blue arrows) of and force (red arrows)
on the Sun, planets and the comet.
To change the orbit of any object,
pause the simulation
then use the mouse on any the
the plane views
(top, front or side) to alter its velocity.
Experiment changing the comet's trajectory - and watch what happens. Click
rewind to return
the simulation to its original state.
The energy and orbital period of the comet is shown in a scrolling graph.
While the comet moves closer to the Sun its gravitational potential energy
is converted into kinetic energy. As it moves away from the Sun the kinetic
energy is converted back to
gravitational
potential energy. All the while the comet's total KE+PE remains constant
(except when there are interactions with other objects in the Solar
system).
As long as the comet's total energy is less than zero, it will remain in
a closed orbit around the Sun (providing it doesn't crash into it, or get
diverted by another object in the Solar System).
If you adjust the comet's velocity so that its total energy is greater than
zero - then it will completely escape the Sun's gravitational pull.
Notes:
The comet's
gravitational potential energy is always registered
as negative - below the horizontal "zero" line on the graph. This is because,
by convention, we say that the gravitational potential energy between two
objects is zero when they are an infinite distance apart. Since this is also
their maximum potential energy, the potential energy for objects a finite
distance apart is less than zero.
This may seem confusing, but it is actually the simplest way of defining
gravitational potential energy. Otherwise we'd have to specify some arbitrary
separation for zero PE, and we'd have to deal with both positive and negative
PE.
The
"top" view looks "down" on the ecliptic plane - and shows velocity and force
in that plane.
The ecliptic plane is the plane of the Earth's orbit around the Sun. It is
so named because (lunar or solar) eclipses can only happen as the moon crosses
this plane.