A small satellite in an elliptical orbit around earth:

The apoapsis is 100,000 km from the centre of the earth (periapsis approximately 14,350 km).
The satellite's speed at the apoapsis is 1 km/sec (periapsis approximately 7 km/sec).
Each orbit takes just over one and a half days.
The screenshot was taken using Gravel v2.0.1's trace (NUMPAD-DEL) and break (B) facilities on a Pentium II 350Mhz using the following Gravel Scene:
/**************************************************************************
Gravel v2 Scene
~~~~~~~~~~~~~~~
**************************************************************************/
Z(6e-6),
V(4e7,0),
object
{
"Earth", /* Name */
(128,128,255), /* Colour (RGB) */
5.9736e+24, /* Mass (kg) */
5.515001e+03, /* Density (kg/m3) */
<0,0>, /* Location (m) */
<0,0> /* Velocity (m/s) */
},
object
{
"Satellite", /* Name */
(255,255,255), /* Colour (RGB) */
1, /* Mass (kg) */
2.387324e-01, /* Density (kg/m3) */
<1e8,0>, /* Location (m) */
<0,1000> /* Velocity (m/s) */
}
The initial orbital velocity of any satellite's orbit can be calculated using the Orbital Velocity Calculator.