Kepler Definition and 121 Threads

Homework Statement plot the orbit of two masses using the equation for an ellipse and coordinate system at one of the foci Masses Initial Positions Initial Velocities i mi x1 x2 x3 v_1 v_ 2 v_ 3 1 1 0.651 0.585 -0.238 -0.755 -0.828...

Arccording to Nasa, the Kepler telescope will be working for 3.5 years in orbit and during that time it will observe about 100000 stars looking for exoplanets. Howcome it can finish for that workload?

Imagine we have an ideal Schwarzschild black hole. A small satellite of insignificant mass (so that the Shwarzchild geometry remains ideal) is orbiting at coordinate radius R just outside the photon orbit in a perfect circular orbit. For the purpose of this experiment ignore the orbital decay...

According to Kepler third law, the ratio of the squares of the periods of any two planets is equal to the ratio of the cubes of their average distances from the sun. If I can apply this to the rotaion of galaxy, meaning stars in inner part will orbit much faster than the outer ones. But it...

What were some of Kepler's mathematical concepts? After a little research, I have discovered Kepler's conjecture (the sphere packing), how ellipses (foci, eccentricity, etc) correspond to Kepler's first law, and a few formulas here and there. What else did he do?

Homework Statement A comet is 10 times farther from the sun than the Earth. Find the time it take to make its orbit around the sun. Homework Equations T^2/R^3 = K K= 3.36X10^18 The Attempt at a Solution I tried to create a ratio, but I honestly have no idea where to start...

Homework Statement A wine barrel has a hole in the middle of its side called a bung hole. To determine the volume of the wine in the barrel, a bung rod is inserted in the hole until it hits the lower seam. You should make the following assumptions: -The barrel is cylindrical -The bung...

Homework Statement a. Planet "P" has a mass that is 2.89 times that of the Earth, an equatorial radius that is 1.89 times that of the Earth and is located 7.8 times further from the Sun than the Earth is. What is the amount of force applied to the planet by the Sun? b.what is the orbital...

There must be something I'm totally missing here. The situation is the following. I am asked to show that given the lagrangian for the Kepler problem, L=\frac{1}{2}\mathbf{\dot{q}}^2+q^{-1} the k-th component of the Runge-Lenz vector...

I have been reading into Kepler's laws lately because I am absolutely intrigued by space and the cosmos, but the second one about equal time and equal areas doesn't quite make sense on wikipedia or the physics textbook (Giancoli 3rd Edition i believe)... and can someone help me understand...

I was watching a show about black holes at the centers of galaxies. And (perhaps I misheard), but there was a one line comment made to the effect that stars in a spiral galaxy don't always move around the center of a spiral galaxy in accordance with Kepler's laws (which, by that, I assume...

Kepler is the patron saint of quantum gravity and 15 May was the day Kepler had a really new idea which he called "sesquipotentia" or "one and a half power" law. He recorded in his diary that the idea had occurred to him on 8 March but he dismissed it, thinking it was wrong, and then on 15...

im a private teacher now for first year students... and today my student asked me a question i didnt know the answer to... so i said i'll look it up, but I am going out with friends :-p so if you could help and save me the time id really appreciate it. the problem is finding the maximum...

Ok so the total energy of a body following a given trajectory around a much larger body (eg. Earth and sun), is described by : E(total) = (1/2)mv^2 + U (where U = grav. potential energy) E(total) = (1/2)mv^2 - (GMm)/r (1/2)mv^2 can then be expanded to give : E(total)...

For a planet moving in an elliptical orbit, fraction of maximum and minumum angular is given to be n \frac{\dot{\theta}_{max}}{\dot{\theta}_{min}} = n Show that \varepsilon = \frac{\sqrt{n}-1}{\sqrt{n}+1}. I keep finding \varepsilon = -\frac{n^2-1}{n^2+1} Can someone show a path to correct...

Our Sun, with mass 2.0 1030 kg, revolves about the center of the Milky Way galaxy, which is 2.2 1020 m away, once every 2.5 108 years. Assuming that each of the stars in the galaxy has a mass equal to that of our Sun, that the stars are distributed uniformly in a sphere about the galactic...

A satellite hovers over a certain spot on the equator of (rotating) Pluto. What is the altitude of its orbit (called a "synchronous orbit")?

http://arxiv.org/pdf/astro-ph/0406437

Reading around Sommerfeld, I noticed a suppossedly very well known result: that orbits in the relativistic kepler problem have a minimum momentum. It is a special relativity result, and I do not know if it is related with the problem of the existence of stable orbits in GR; the later are orbits...

One knows that in classical gravity a orbiting point sweeps equal areas at equal times. It can be seen that for macroscopic distances the area swept in a plank time is a lot greater than the minimum quantum of area, which is about (plank length)^2. Now, I ask, given a particle of mass m, for...

On May 15 of 1618 Kepler realized that the 3/2 power of an orbit's size tells you its period he kept a diary and recorded how he came to his ideas and when the insight occurred and what if felt like he says he had a premonition of it in March of that year and couldn't believe it and...