Calculating Radius of Jupiter's Orbit: A Synchronous Satellite Problem

  • Thread starter Thread starter leisiminger
  • Start date Start date
AI Thread Summary
To calculate the radius of a synchronous satellite's orbit around Jupiter, Kepler's third law is essential, which relates the orbital period to the radius. Given Jupiter's rotation period of 9.84 hours, this translates to an orbital period for the satellite of the same duration. The mass of Jupiter, 1.9 x 10^27 kg, and the gravitational constant, G = 6.67 x 10^-11 Nm^2/kg^2, are used to derive the radius using the formula for circular orbits. The satellite's mass can be neglected due to its insignificance compared to Jupiter's mass. Ultimately, applying these principles will yield the required orbital radius.
leisiminger
Messages
11
Reaction score
0
A synchronous satellite is put in a circular orbit around Jupiter. Jupiter rotates once every 9.84 hours. Determine the radius of the satellites orbit from the center of Jupiter if the mass of Jupiter is given to be 1.9 x 10^27 kg.

I don't even know how to start this, I've looked up the equations and can't figure out where to start. I know that G = 6.67 x 10^-11 Nm^2/kg^2
 
Physics news on Phys.org
Start with kepler's 3rd law.
Since the satelites mass is much less than jupiter's you can ignore it.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top