Can anyone explain the slingshot effect? And how in depth we would needa know for a possible hsc q on it, cheers
Hello Sire 123,
Seeing that Jake has provided so many valid points and the explanation is so great, I cannot help but to give in my 2 cents in terms of the conversation of momentum. As the space probe passes tangentially to the large planet (usually Jupiter or Saturn), it gains a significant increase in velocity whilst the large planet loses a tiny amount of rotation velocity. This is because the planet is thousands of times larger than the space probe, and since momentum of the
system has to be conserved, the momentum of space probe increases and the momentum of the planet descreases in its momentum. Since the mass of the space probe and planet remains constant, then velocity must change for both objects to allow the momentum of each object to increase/decrease.
Let's have a look at this example: suppose the space probe is 10kg and the planet is
1x10^8 kg, the space probe is travelling at 100m/s and the planet is rotating with a velocity of 100m/s as well.
momentum of planet = 10^8 x 100 = 10^10 Ns
momentum of space probe = 10 x 100 = 1000 Ns
when the space probe passes tangentially near the planet, it "steals" 200 m/s off the planet
momentum of space probe = 10 x 300 = 3000 Ns
momentum of planet = 10^10 - (3000-1000) = 9.99998 x 10^9 Ns (since the momentum of the system has to be conserved, then it follows that if the space probe gains 2000 Ns momentum, then planet must lose 2000 Ns momentum, which is not a significant amount for the planet)
Velocity of planet = 9.999998 x 10^9 / 10^8 = 99.98 m/s, which is virtually the same as the 100m/s prior to slingshot effect (i.e. a trivial decrease in the velocity of planet)
Through this example (definitely not a real circumstance, but just to let you see whats going on), we can see that the planet only needs to lose a little bit of velocity for the space probe to gain a significant change in velocity, and this is because of the law of conservation of momentum.
I hope that was a good explanation on how the law of conservation of momentum relates to the slingshot effect. If you have any questions, please dont hesitate to ask!
Best Regards
Happy Physics Land