- Practical exercise 1 AROUND THE SUN
- Practical exercise 2 THE MOON IN THE DISTANCE…HOW FAR??
- Practical exercise 3 THE NEIGHBOR ALSO LIKES IT
- Practical exercise 4 ALIEN VS. EARTHLING
- Practical exercise 5 GAS GIANT JUPITER
- Practical exercise 6 MARS! ...WHERE?
- Practical exercise 7 FLIGHT TO MARS ALONG HALF ELLIPSE
- Practical exercise 8 GEOSTATIONARY SATELLITE
- Practical exercise 9 CATASTROPHE ON THE SUN
- Practical exercise 10 LIGHT AS... SUPERMASSIVE BLACKHOLE!
Practical exercise 5: GAS GIANT JUPITER
Jupiter is closest to the Earth 
and furthest 
. Assume that the Earth moves in a circular orbit and the orbital planes of the Earth and Jupiter merge together, see Fig. 3.
Then determine:
a) perihelion and aphelion for the orbit of Jupiter,
b) semi major and semi minor axes, distance and numerical eccentricity of the ellipse,
c) orbital period,
d) how many times Jupiter in the perihelion has a higher speed than in the aphelion.
Fig. 3 for the task analysis
Solution:
a) The closest distance of Pluto from the Sun is 
.
The greatest distance is then equal to 
.
b) For each ellipse we determine the semi major axis as 
, the distance eccentricity is according to the figure 
, the numerical eccentricity is from the definition 
, we determine the semi minor axis from the Pythagorean theorem
.
c) We will proceed similarly as in Task IV. If we want to use the form of the 3rd Kepler's law 
, tak 
, then 
. The period is therefore =11,9 rokov
d) It follows from the 2nd Kepler's law that 
.