Kepler Definition and 121 Threads

Does anyone know the best online source(s) for kepler exoplanet data? Thank you.

I am trying to derive the Kepler equation: M = E - e * sin(E) where M=Mean Anomaly, e=Eccentricity and E=Eccentric Anomaly. If you drop a perpendicular down from the object to the Perihelion-axis you can take: a * cos(E) = a * e + Recl * cos (TA) where Recl is the Ecliptic radius to the...

I've searched a little bit and found that I can derive kepler's third law from Newton's law of gravitation. That's okay. But I want to deduce kepler's second law too: "An imaginary line joining a planet and the sun sweeps out an equal area of space in equal amounts of time". I know it's possible...

http://www.nasa.gov/keplerbriefing0723 As I type this, NASA is announcing discovery of a new planet Kepler 452b that is - small and (probably) rocky like Earth - orbits a G2 star - is in the star's habitable zone This is the first candidate that meets all three criteria. (Most Earth-twins so...

How did Kepler derive his laws of Planetary Motion without knowing about Newton's law of gravitation? Specifically, the first law of planetary motion which says that planets follow elliptical paths - how did he figure that out without the knowledge of the gravitational pull of the sun? Was it...

To be honest, I don't know any physics. I am a high school student who has taken high school physics, but America's education system isn't known for teaching much more than Newton's laws. I have, however, taken Multivariable/Vector calculus, so I have a decent math background. I was wondering...

I am a 10th grade student, and I tried for a few weeks now to find a proof to Kepler first and second laws. Is there a simple proof to Kepler' s laws?

Hello, few days ago I took an exam in my honors physics class and believe I did not do as well as I did on the other exam. Last exam had a few computational problems and the rest were general solution problems. This recent exam had 8 questions that were all general solution problems as opposed...

Hi everyone, For one of my project in school, i need to calculate the travel time to the moon. To do that, I thought to use Kepler's third law which is : (2(pi) / P )2 * a3 = GM where : P : period of travel a : major semiaxes (not sure in english, but it is the half the longest radius of the...

hey everyone, this is a qualitative question on gravitational orbits: I was going through questions in which the trajectory of the orbiting body is determined based upon the eccentricity of the orbit, e.g. 0<Ecc<1, ellipses, Ecc=1, parabola, Ecc>1, hyperbola. I did the math and found out what...

Homework Statement A satellite has a circular orbit 500 km above earth. A ball is thrown directly downwards radially at 20 m/s. Find the path of the ball relative to the satellite. Homework Equations mv^2/r=GMm/r^2 The Attempt at a Solution From the height of the orbit you can easily solve...

Hello, I have been trying to do an assignment for one of my physics class. We are trying to demonstrate the planetary motion using Kepler's law. I have been trying to solve a integral. I was able to solve it using maple. I am trying to solve equation 29 in attached figure. I got equation 31...

Kepler 22 has generated some hype because it was the first star to have a planet in the habitable "goldilocks" zone to be found by the Kepler Space Telescope. I also know it is somewhere in the constellation of Cygnus. I have done many a Google search on this, yet returned nothing. My question...

People are saying that Kepler 22b looks like it may harbour life. How could we ever know? I was just wandering, but what would the delta v be to do a Hoffmann transfer (if this works on an interstellar scale) to Kepler 22b?

I am after a text that takes one through the derivation of Keplers Laws and related material. I'm sure i knew of one in my undergraduate days but can't remember. Any suggestions?

Or, just how big can a gas giant get? I read this article recently: http://www.bbc.co.uk/news/science-environment-24348024 In it, Kepler 7b's clouds are 'directly' mapped for the first time. The planet itself is said to have an overall mass roughly that of polystyrene. Bearing in mind...

Homework Statement I am trying to see if I am on the right track with this. The problem: A kepler orbit (an ellipse) in Cartesian coordinates is: $$(1−\epsilon^2)x^2 + 2\alpha \epsilon x + y^2 = \alpha^2$$. The task is to show that the major and minor axes are: $$a =...

In a two-body solution ( Kepler Problem) how do you find the Lagrangian, L, if the position vector is: x = (v_x * t + x_0, v_y * t + y_0, v_z * t + z_0) Action from Wikipedia is: S = \int_{t_1}^{t_2} L * dt

How do you solve the Kepler Problem for a 2-body system where m1<<m2 with a given velocity and position vector resulting in a new velocity and position for a certain time interval?

A body can describe 3 types of orbits around another (considering only the gravitational force), a elipse, a hyperbole or a parabola. Does the second kepler law (area law) work for hyperboles or parabolas too?

I got myself here a satellite rotating at a large distance around planet X. Distance from center of planet X = 100, mass of the satellite = 1 gram (really small), mass of planet X = 1.0 kg velocity of my satellite 10 m/sec and in this oddball universe the gravitational constant = 10**4...

http://cosmiclog.nbcnews.com/_news/2013/04/18/17811465-kepler-mission-makes-big-splash-with-possibly-habitable-super-Earth's Just announced 18 April. "Kepler-mission-makes-big-splash-with-possibly-habitable-super-Earth's". These are in constellation Lyra. I can't evaluate how definite or...

Homework Statement Hi I have a question about a satellite moving in an elliptic motion. It begins its motion on the x axis, when x=2Re, and with a velocity: Vx=0, Vy=v0, Vz=-0.5V0. Re is radius of the earth. Solving this I arrived at: r0 = 10Re/4. e=1/4. Rmin = 2Re. Rmax = 10Re/3. Given all...

Hi, this is my first post, and it is sort of a complicated question (I think. Perhaps it is easy and I don't know how to solve it). In the Kepler catalog, are there any binary star systems, where the secondary star orbits the central star that have something close to the following...

Consider the Hamiltonian of Kepler problem H(\boldsymbol{r},\boldsymbol{p})= \frac{|\boldsymbol{p}^2|}{2\mu} +\frac{\alpha}{|\boldsymbol{r}|}, \qquad \mu>0>\alpha, where \boldsymbol{r}\in M=\mathbb{R}^3\setminus\{ 0 \}, \ (\boldsymbol{r},\boldsymbol{p})\in T^*M and...

Consider the Hamiltonian of Kepler problem H(\boldsymbol{r},\boldsymbol{p})= \frac{|\boldsymbol{p}^2|}{2\mu} +\frac{\alpha}{|\boldsymbol{r}|}, \qquad \mu>0>\alpha, where \boldsymbol{r}\in M=\mathbb{R}^3\setminus\{ 0 \}, \ (\boldsymbol{r},\boldsymbol{p})\in T^*M and...

Newbie to the forum here. Hoping y'all can help with something that's been bugging me for a while now. I would like to know the relationship between two characteristic radii in a close packing of equal spheres. The first radius of interest is that of the equal sphere's themselves (r1). The...

Homework Statement We have proved that any Kepler orbit can be written in the form of r(\phi) = \frac{c}{1+\epsilon*cos(\phi)} where c>0 \epsilon\geq 0. for the case that 0 \leq \epsilon < 1, rewrite this equation in rectangular coordinates (x,y) and prove that the equation can be cast in...

As the title. How many precent of the entire sky is investigated by the kepler telescope? I'm aware of that it's very little, but does anyone find a good page of this? I've looked, without results. I'm very thankful for help! :biggrin:

Noob here, be gentle… I am of the understanding that the solar system formed by means of an accretion disk that made its plane normal to the sun rotation. I suppose that the Galactic plane formed by the same basic gravitational and centripetal means. Question: Does our Solar System’s...

NASA says that the case of Kepler 16-b is "the first unambiguous detection of a circumbinary planet." But Wikipedia lists at most five circumbinary systems: PSR B1620-26, HW Virginis, Kepler-16, DP Leonis, and NN Serpentis. If so, why is Kepler's discovery the FIRST if four systems were already...

Does Ptolemy's theory of epicycles mathematically reduce to Kepler's 3 Laws in the limit of the number of epicycles tending to infinity? Thanks

Homework Statement Write down the Hamiltonian and its corresponding Hamilton equations for a particle in a central potential. Find the solution to the Kepler problem in this description.Homework Equations Hamiltonian. The Hamilton equations or motion equations are \dot q _i = \frac{\partial...

Question 1: Homework Statement https://www.physicsforums.com/showthread.php?t=44239 except the planet is Saturn. Homework Equations r = (t / (2pi)) ^ {2 / 3} * (G * M) ^ {1 / 3} The Attempt at a Solution I tried many things, so I thought I would give tony873004's solution...

How did Kepler knew that the time of Mars' orbit was 687 days ? It doesn't seem to me a simple task to determine that timing because after 687 days, Earth is at a different place in the solar system and Mars seems to be also in a different place in the solar system. How was that 687 days...

When calculating the mass of the Earth using the moon as a reference and Kepler's 3rd Law, is it correct to subtract the moon's mass after completing the sum: me = (4*(pi)2*r3) / (G*t2) me = (4*(pi)2*3850000003) / (G*23587202) me = 6.07E+24 Should I be subtracting the moons mass to get: me...

How did Kepler exactly prove that the period squared is proportional to the radius cubed? If he didn't prove it. Then how is it proven?

Homework Statement Solve the Kepler problem by Runge-Kutta method, where initial conditions x(0)=x0, y(0)=y0, vx(0)=vx0, vy(0)=vy0 Homework Equations dvx/dt = -GMx/(x2+y2)3/2 (1) dvy/dt = -GMy/(x2+y2)3/2 (2) dx/dt = vx...

The Kepler equation is: M = E - e Sin(E); where M is the mean anomaly and E the eccentric anomaly and e is the eccentricity. we get it from integrating dr/r' and changing variables to E, how did Kepler get it without calculus and using only his laws. Another thing how did he see his second...

http://www.cnn.com/2011/US/01/10/nasa.planet.discovery/index.html?hpt=C1 This is a portion of the article, but it's quite optimistic. I hope that I'm not posting old news, and if I am please just delete this mentors. If not, I'm impressed, and this new era of finding exoplanets... what are...

I know that kepler looked at Tacho Bradhe's work and knew the equations related to ellipses but the question is as simple as: how did kepler knew the sun was at one of the foci of the ellipse?

Hi, I have to pick one of these great scientists to write a middterm item on, so basically I'm curious about what you personally think would be the easiest answer to argue to this question: Which out of Galileo, Kepler or Newton was of the greatest significance in changing the scientific...

I have a very interesting question and is curious to know why: Why do you float 2 m above the bottom of a pool, when you do not float 2m above the ground in air?

Good morning, I have a doubt about the differentiation of the polar equation of an orbit: r=\frac{p}{1+e\cos\nu} It represents the relative position of a planet with respect to the central body. Here, p is the parameter, e is the eccentricity and r is the radius of the planet measured from...

Hello, I was drawing some curves on my computer when something appeared : it is possible to build trajectories that agree with all Kepler's laws with a very simple iterative process and very simple conditions. I wrote a paper to describe this fact and I built an online demonstrator to...

Sorry if this is in the wrong forum. I have the equation r = \frac{a(1-e^2)}{1+e \cos \theta} , and I'm wondering what the physical significance of the numerator is. More specifically, what is 'a' (since e is what it usually is)? I've seen various other representations with terms like...

Hello, I have a question : is it possible to explain the first law of Kepler without any concept of mass ? Kepler's first law states that satellites are moving on an ellipse and the object around which they are orbiting is localized at the focus of this ellipse. As far as I know Newton and...

Looking at the gravitational equation F=G*(M*m)/r^2 and centripetal force F = ((V^2)/r)*m If you set the two equal and solve for G you get: G = ((V^2)*r)/M Substituting (4*pi^2*r^2)/T^2 for V^2 you now have G = (4*pi^2*r^3)/(M*T^2) With solution for G, look at Kepler's...

Homework Statement Within the gravitational field produced by a celestial body of mass M we want to send a projectile of mass m from (x1,y1) to (x2,y2). The M mass is placed at the origin of coordinates. If the flight time is T, what is the initial velocity vector that we have to give to the...

I was just searching the net to find something to read about 2012 (doom's day) :-) ... And i got to know about nibiru , south pole telescope and black patches in google sky etc...suddenly one thought struck my mind..i knew that NASA was going to launch a new satellite to find Earth like...