Hey guys, i have a math assignment that involves astronomy of our solar system. I need to come up with research question/aim that can be answered using math, like calculus and linked to astronomy. Do you guys have any tips or suggestions?
Find the rate of change in the velocity of a planet in an elliptical orbit as a function of time
EZPZ
gravity
>>7768722
Why do experimental observations of the precession of mercury not aline with predictions made by newtonian gravity?
>>7768734
align*
my bad
>>7768734
Not OP.
This is because of tidal forces right?
Or are you one of those tin foil hat MOND guys?
>>7768745
OP here
I think it involves general relativity.
>>7768745
It is because of GR. I believe it was the first test they used as experimental verification of GR.
>>7768722
What level of math are you in? This should've been included in the OP
>>7768774
Im in highschool calc which basically means I know the basics about integral and differentiation. But I know the concepts and meanings behind differentiation such as acceleration, velocity and instantaneous rate.
>>7768780
Perhaps focus on something simple such as Kepler Laws.
Second one can be proofed in terms of a differential with respect to time and it should be fairly straightforward if you know concepts of angular momentum and circular motion.
Although, it is still difficult to judge what kind of level you require
If that wouldn't do the trick then the first response seems like a reasonable one to do. Good Luck
>>7768722
Some suggestions might be to try and derive Kepler's law of periods from conservation of angular momentum. If you want to impress your teacher, this will do the trick. Ask your resident AP Physics teacher, he will tell you what you need to know, or otherwise look it up. Its a fairly standard, straightforward calculation that is included in most textbooks nowadays.
>>7769269
* One suggestion, sorry
>>7769269
This, then go on explaining when orbit is measured, there's an error present that can be only fixed by taking into consideration the speed of light.
>>7768722
try to show that in fact we can't predict acurately the future of the solar system
https://www.ias.edu/about/publications/ias-letter/articles/2011-summer/solar-system-tremaine
keyword : chaos
tl;dr starts from
>So what are the results?
>>7769269
Do u think that will involve enough math to not be considered as physics?
>>7770013
if you don't do math, you're not doing physics...
Model of orbital period of planets within our solar system by using angular momentum and circular motion.
Is a good RQ or aim in order to make it stay as a math assignment
USe black body radiation from the sun and Botzmann's laws to determine the mean temperature of the planets and our moon. Note how planets with atmospheres have a much higher temperature.